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AuthorTitleYearJournal/ProceedingsReftypeDOI/URL
Dickman, R. and Vidigal, R. Path integrals and perturbation theory for stochastic processes 2003 Brazilian Journal of Physics
Vol. 33, pp. 73-93 
article URL 
BibTeX:
@article{Dickman2003_vol33,
  author = {Dickman, Ronald AND Vidigal, Ronaldo},
  title = {Path integrals and perturbation theory for stochastic processes},
  journal = {Brazilian Journal of Physics},
  publisher = {scielo},
  year = {2003},
  volume = {33},
  pages = {73--93},
  url = {http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332003000100005&nrm=iso}
}
Cengio, S.D., Harunari, P.E., Lecomte, V. and Polettini, M. Mutual Multilinearity of Nonequilibrium Network Currents 2025   article DOI  
Abstract: Continuous-time Markov chains have been successful in modelling systems across numerous fields, with currents being fundamental entities that describe the flows of energy, particles, individuals, chemical species, information, or other quantities. They apply to systems described by agents transitioning between vertices along the edges of a network (at some rate in each direction). It has recently been shown by the authors that, at stationarity, a hidden linearity exists between currents that flow along edges: if one controls the current of a specific "input" edge (by tuning transition rates along it), any other current is a linear-affine function of the input current [PRL 133, 047401 (2024)]. In this paper, we extend this result to the situation where one controls the currents of several edges, and prove that other currents are in linear-affine relation with the input ones. Two proofs with distinct insights are provided: the first relies on Kirchhoff's current law and reduces the input set inductively through graph analysis, while the second utilizes the resolvent approach via a Laplace transform in time. We obtain explicit expressions for the current-to-current susceptibilities, which allow one to map current dependencies through the network. We also verify from our expression that Kirchhoff's current law is recovered as a limiting case of our mutual linearity. Last, we uncover that susceptibilities can be obtained from fluctuations when the reference system is originally at equilibrium.
BibTeX:
@article{Cengio2025vol,
  author = {Cengio, Sara Dal and Harunari, Pedro E. and Lecomte, Vivien and Polettini, Matteo},
  title = {Mutual Multilinearity of Nonequilibrium Network Currents},
  publisher = {arXiv},
  year = {2025},
  doi = {https://doi.org/10.48550/ARXIV.2502.04298}
}
Gupta, D., Olsen, K.S. and Krishnamurthy, S. Thermodynamic Cost of Steady State Erasure 2025   article DOI  
Abstract: Recent experiments have implemented resetting by means of a time-varying external harmonic trap whereby the trap stiffness is changed from an initial to a final value in finite-time and then the system is reset when it relaxes to an equilibrium distribution in the final trap. Such setups are very similar to those studied in the context of the finite-time Landauer erasure principle. We analyse the thermodynamic costs of such a setup by deriving a moment generating function for the work cost of changing the trap stiffness in finite-time for a system in steady state. We analyse the mean and variance of the work required for a specific experimentally viable protocol and also obtain an optimal protocol which minimises the mean cost. For both these procedures, our analysis captures both the large-time and short-time corrections. For the optimal protocol, we obtain a closed form expression for the mean cost for all protocol durations, thereby making contact with earlier work on geometric measures of dissipation-minimising optimal protocols that implement information erasure.
BibTeX:
@article{Gupta2025vol,
  author = {Gupta, Deepak and Olsen, Kristian Stølevik and Krishnamurthy, Supriya},
  title = {Thermodynamic Cost of Steady State Erasure},
  publisher = {arXiv},
  year = {2025},
  doi = {https://doi.org/10.48550/ARXIV.2502.06014}
}
Monthus, C. Journey from the Wilson exact RG towards the Wegner-Morris Fokker-Planck RG and the Carosso field-coarsening via Langevin stochastic processes 2025   article DOI  
Abstract: Within the Wilson RG of 'incomplete integration' as a function of the RG-time t, the non-linear differential RG flow for the energy E_t[(.)] translates for the probability distribution P_t[(.)] ∼ e^- E_t[(.)] into the linear Fokker-Planck RG flow associated to independent non-identical Ornstein-Uhlenbeck processes for the Fourier modes. The corresponding Langevin stochastic differential equation for the real-space field _t(vec x) can be then interpreted within the Carosso perspective as genuine infinitesimal coarsening-transformations that are the analog of spin-blocking, and whose irreversible character is essential to overcome the paradox of the naive description of the Wegner-Morris RG flow as a mere infinitesimal change of variables in the partition function integral. This interpretation suggests to consider new RG-schemes, in particular the Carosso RG where the Langevin SDE corresponds to the well known stochastic heat equation or the Edwards-Wilkinson dynamics. We stress the advantages of this stochastic formulation of exact RG flows. While statistical field theory is usually written in infinite space, we focus here on the formulation on a large volume L^d with periodic boundary conditions, in order to distinguish between extensive and intensives observables while keeping the translation-invariance. Since the empirical magnetization m_e ≡ 1L^d _L^d d^d vec x (vec x) is an intensive variable corresponding to the zero-momentum Fourier coefficient of the field, its probability distribution p_L(m_e) can be obtained from the gradual integration over all the other Fourier coefficients associated to non-vanishing-momenta via exact differential RG, in order to obtain the large deviation properties with respect to the volume L^d.
BibTeX:
@article{Monthus2025vol,
  author = {Monthus, Cecile},
  title = {Journey from the Wilson exact RG towards the Wegner-Morris Fokker-Planck RG and the Carosso field-coarsening via Langevin stochastic processes},
  publisher = {arXiv},
  year = {2025},
  doi = {https://doi.org/10.48550/ARXIV.2502.09506}
}
Ptaszynski, K. and Esposito, M. Nonanalytic Landau functionals shaping the finite-size scaling of fluctuations and response functions in and out of equilibrium 2025   article DOI  
Abstract: Landau theory relates phase transitions to the minimization of the Landau functional (e.g., free energy functional), which is expressed as a power series of the order parameter. It has been shown that the critical behavior of certain physical systems can be described using Landau functionals that include nonanalytic terms, corresponding to odd or even noninteger powers of the absolute value of the order parameter. In particular, these nonanalytic terms can determine the order of the phase transition and the values of the critical exponents. Here, we show that such terms can also shape the finite-size scaling behavior of fluctuations of observables (e.g., of energy or magnetization) or the response functions (e.g., heat capacity or magnetic susceptibility) at the continuous phase transition point. We demonstrate this on two examples, the equilibrium molecular zipper and the nonequilibrium version of the Curie--Weiss model.
BibTeX:
@article{Ptaszynski2025vol,
  author = {Ptaszynski, Krzysztof and Esposito, Massimiliano},
  title = {Nonanalytic Landau functionals shaping the finite-size scaling of fluctuations and response functions in and out of equilibrium},
  publisher = {arXiv},
  year = {2025},
  doi = {https://doi.org/10.48550/ARXIV.2502.06226}
}
Raux, P., Goupil, C. and Verley, G. Three optima of thermoelectric conversion: Insights from the constant property model 2025 Entropy
Vol. 27(3), pp. 252 
article DOI URL 
BibTeX:
@article{Raux2025vol27,
  author = {P. Raux and C. Goupil and G. Verley},
  title = {Three optima of thermoelectric conversion: Insights from the constant property model},
  journal = {Entropy},
  publisher = {MDPI AG},
  year = {2025},
  volume = {27},
  number = {3},
  pages = {252},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Raux2025vol27.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Raux2025vol27.pdf},
  doi = {https://doi.org/10.3390/e27030252}
}
Remlein, B., Esposito, M. and Avanzini, F. What is a chemostat? Insights from hybrid dynamics and stochastic thermodynamics 2025   article DOI  
Abstract: At the microscopic scale, open chemical reaction networks are described by stochastic reactions that follow mass-action kinetics and are coupled to chemostats. We show that closed chemical reaction networks -- with specific stoichiometries imposed by mass-action kinetics -- behave like open ones in the limit where the abundances of a subset of species become macroscopic, thus playing the role of chemostats. We prove that this limit is thermodynamically consistent by recovering the local detailed balance condition of open chemical reaction networks and deriving the proper expression of the entropy production rate. In particular, the entropy production rate features two contributions: one accounting for the dissipation of the stochastic reactions, the other for the dissipation of continuous reactions controlling the chemostats. Finally, we illustrate our results for two prototypical examples.
BibTeX:
@article{Remlein2025vol,
  author = {Remlein, Benedikt and Esposito, Massimiliano and Avanzini, Francesco},
  title = {What is a chemostat? Insights from hybrid dynamics and stochastic thermodynamics},
  publisher = {arXiv},
  year = {2025},
  doi = {https://doi.org/10.48550/ARXIV.2502.17257}
}
Andrieux, D. Control Strategies for Maintaining Transport Symmetries Far From Equilibrium 2025   article DOI  
Abstract: We present two schemes for controlling the transport dynamics of mesoscopic devices. In both approaches, we manipulate the system's output - such as particle currents and energy flows - while maintaining symmetric transport properties, even under far-from-equilibrium conditions. We provide exact descriptions of the modified processes under each scheme and investigate their characteristics. Notably, one of the schemes is shown to minimize the dissimilarity between the original and modified processes, as quantified by the Kullback-Leibler divergence. These findings have the potential to enhance the design and control of mesoscopic systems.
BibTeX:
@article{Andrieux2025vol,
  author = {Andrieux, David},
  title = {Control Strategies for Maintaining Transport Symmetries Far From Equilibrium},
  publisher = {arXiv},
  year = {2025},
  doi = {https://doi.org/10.48550/ARXIV.2501.05212}
}
Verma, M. Turbulence: A Nonequilibrium Field Theory 2025   article DOI  
Abstract: Tools of quantum and statistical field theories have ben successfully ported to turbulence. Here, we review the key results of turbulence field theory. Thermalized spectrally-truncated Euler equation is described by equilibrium field theory, in which the equipartitioned Fourier modes generate zero energy flux. In contrast, modelling of hydrodynamic turbulence (HDT), which has small viscosity, requires nonequilibrium field theory. In HDT, the viscosity is renormalized using field theory that leads to wavenumber-dependent viscosity and energy spectrum. Field theory calculations also yields nonzero energy flux for HDT. These field theory computations have been generalized to other systems, e.g., passive scalar and magnetohydrodynamics. In this review, we cover these aspects, along with a brief coverage of weak turbulence and intermittency.
BibTeX:
@article{Verma2025vol,
  author = {Verma, Mahendra},
  title = {Turbulence: A Nonequilibrium Field Theory},
  publisher = {arXiv},
  year = {2025},
  doi = {https://doi.org/10.48550/ARXIV.2501.19367}
}
Ptaszynski, K., Aslyamov, T. and Esposito, M. Nonequilibrium Fluctuation-Response Relations for State Observables 2024   article DOI  
Abstract: Time-integrated state observables, which quantify the fraction of time spent in a specific pool of states, are important in many fields, such as chemical sensing or theory of fluorescence spectroscopy. We derive exact identities, called Fluctuation-Response Relations (FRRs), that connect the fluctuations of such observables to their response to external perturbations in nonequilibrium steady state of Markov jump processes. Using these results, we derive novel upper and lower bounds for fluctuations. We further demonstrate their applicability for simplifying calculations of fluctuations in large Markov networks, use them to explain the physical origin of positive and negative correlations of occupation times in a double quantum dot device, and discuss their relevance for model inference.
BibTeX:
@article{Ptaszynski2024vola,
  author = {Ptaszynski, Krzysztof and Aslyamov, Timur and Esposito, Massimiliano},
  title = {Nonequilibrium Fluctuation-Response Relations for State Observables},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2412.10233}
}
Raux, P. Circuit theory for thermodynamic engines in stationary nonequilibrium 2024 (2024UNIP7061)School: Université Paris Cité  phdthesis URL 
BibTeX:
@phdthesis{Phdthesis_Raux2024,
  author = {Raux, Paul},
  title = {Circuit theory for thermodynamic engines in stationary nonequilibrium},
  school = {Université Paris Cité},
  year = {2024},
  number = {2024UNIP7061},
  url = {https://theses.hal.science/tel-04964379}
}
Raux, P., Goupil, C. and Verley, G. Thermodynamic Circuits 3: Association of thermoelectric converters in stationary non-equilibrium 2024   article DOI  
Abstract: We determine the current-force characteristics of the serial (respectively parallel) association of two ThermoElectric Converters (TEC) using the laws of resistance (respectively conductance) matrix addition. Each TEC is modeled by a non-equilibrium conductance/resistance matrix describing the current-force characteristics of the TEC in stationary non-equilibrium. For TECs in series, we investigate the continuity of the potentials (and their derivatives) at their interfaces when thermoelectric coefficients are equal or not. We also study the current-dependent boundary conditions (for each sub-device) that significantly modify the conversion process. For TECs in parallel, we show that our result is compatible with the previously mentioned internal current loops even in open circuit boundary conditions.
BibTeX:
@article{Raux2024vola,
  author = {Raux, Paul and Goupil, Christophe and Verley, Gatien},
  title = {Thermodynamic Circuits 3: Association of thermoelectric converters in stationary non-equilibrium},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2412.15036}
}
Raux, P., Goupil, C. and Verley, G. Thermodynamic Circuits 4: Modeling chemical reaction networks with nonequilibrium conductance matrices 2024   article DOI  
Abstract: We derive the nonequilibrium conductance matrix for open stationary Chemical Reaction Networks (CRNs) described by a deterministic mass action kinetic equation. As an illustration, we determine the nonequilibrium conductance matrix of a CRN made of two sub-networks, called chemical modules, in two different ways: First by computing the nonequilibrium conductances of the modules that are then serially connected. Second by computing directly the nonequilibrium conductance of the CRN directly. The two approaches coincide, as expected from our theory of thermodynamic circuits. We end by discussing the advantages of splitting a CRN into smaller chemical modules.
BibTeX:
@article{Raux2024volb,
  author = {Raux, Paul and Goupil, Christophe and Verley, Gatien},
  title = {Thermodynamic Circuits 4: Modeling chemical reaction networks with nonequilibrium conductance matrices},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2412.15028}
}
Crotti, S., Barthel, T. and Braunstein, A. Nonequilibrium steady-state dynamics of Markov processes on graphs 2024   article DOI  
Abstract: We propose an analytic approach for the steady-state dynamics of Markov processes on locally tree-like graphs. It is based on the definition of a probability distribution for infinite edge trajectories in terms of infinite matrix products. For homogeneous ensembles on regular graphs, the distribution is parametrized by a single d× d× r^2 tensor, where r is the number of states per variable and d is the matrix-product bond dimension. While the approach becomes exact in the large-d limit, it usually produces extremely accurate results even for small d. The d^2r^2 parameters are found by solving a fixed point equation, for which we provide an efficient belief-propagation procedure. We apply it to a variety of models, including Ising-Glauber dynamics with symmetric and asymmetric couplings and the SIS model. Even for small d, the results are compatible with Monte Carlo estimates and accurately reproduce known exact solutions. The method gives access to accurate temporal correlations which, in some regimes, may be virtually impossible to estimate by sampling.
BibTeX:
@article{Crotti2024vol,
  author = {Crotti, Stefano and Barthel, Thomas and Braunstein, Alfredo},
  title = {Nonequilibrium steady-state dynamics of Markov processes on graphs},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2411.19100}
}
Kwon, E., Chun, H.-M., Park, H. and Lee, J.S. Fluctuation-response inequalities for kinetic and entropic perturbations 2024   article DOI  
Abstract: We derive fluctuation-response inequalities for Markov jump processes that link the fluctuations of general observables to the response to perturbations in the transition rates within a unified framework. These inequalities are derived using the Cramér-Rao bound, enabling broader applicability compared to existing fluctuation-response relations formulated for static responses of current-like observables. The fluctuation-response inequalities are valid for a wider class of observables and are applicable to finite observation times through dynamic responses. Furthermore, we extend these inequalities to open quantum systems governed by the Lindblad quantum master equation and find the quantum fluctuation-response inequality, where dynamical activity plays a central role.
BibTeX:
@article{Kwon2024vol,
  author = {Kwon, Euijoon and Chun, Hyun-Myung and Park, Hyunggyu and Lee, Jae Sung},
  title = {Fluctuation-response inequalities for kinetic and entropic perturbations},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2411.18108}
}
O'Byrne, J. and Cates, M.E. Geometric theory of (extended) time-reversal symmetries in stochastic processes -- Part II: field theory 2024   article DOI  
Abstract: In this article, we study the time-reversal properties of a generic Markovian stochastic field dynamics with Gaussian noise. We introduce a convenient functional geometric formalism that allows us to straightforwardly generalize known results from finite dimensional systems to the case of continuous fields. We give, at field level, full reversibility conditions for three notions of time-reversal defined in the first article of this two-part series, namely T-, MT-, and EMT-reversibility. When the noise correlator is invertible, these reversibility conditions do not make reference to any generically unknown function like the stationary probability, and can thus be verified systematically. Focusing on the simplest of these notions, where only the time variable is flipped upon time reversal, we show that time-reversal symmetry breaking is quantified by a single geometric object: the vorticity two-form, which is a two-form over the functional space F to which the field belongs. Reversibility then amounts to the cancellation of this vorticity two-form. This condition applies at distributional level and can thus be difficult to use in practice. For fields that are defined on a spatial domain of dimension d=1, we overcome this problem by building a basis of the space of two-forms 2(F). Reversibility is then equivalent to the vanishing of the vorticity's coordinates in this basis, a criterion that is readily applicable to concrete examples. Furthermore, we show that this basis provides a natural direct-sum decomposition of 2(F), each subspace of which is associated with a distinctive kind of phenomenology. This decomposition enables a classification of celebrated out-of-equilibrium phenomena, ranging from non-reciprocal (chaser/chased) interactions to the flocking of active agents, dynamical reaction-diffusion patterns, (...)
BibTeX:
@article{OByrne2024vol,
  author = {O'Byrne, Jérémy and Cates, Michael E.},
  title = {Geometric theory of (extended) time-reversal symmetries in stochastic processes -- Part II: field theory},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2411.19299}
}
Ptaszynski, K. and Esposito, M. Critical heat current fluctuations in Curie-Weiss model in and out of equilibrium 2024   article DOI  
Abstract: In some models of nonequilibrium phase transitions, fluctuations of the analyzed currents have been observed to diverge with system size. To assess whether this behavior is universal across phase transitions, we examined heat current fluctuations in the Curie-Weiss model, a paradigmatic model of the paramagnetic-ferromagnetic phase transition, coupled to two thermal baths. This model exhibits phase transitions driven by both the temperature and the magnetic field. We find that at the temperature-driven phase transition, the heat current noise consists of two contributions: the equilibrium part, which vanishes with system size, and the nonequilibrium part, which diverges with system size. For small temperature differences, this leads to nonmonotonic scaling of fluctuations with system size. In contrast, at the magnetic-field-driven phase transition, heat current fluctuations do not diverge when observed precisely at the phase transition point. Instead, out of equilibrium, the noise is enhanced at the magnetic field values away but close to the phase transition point, due to stochastic switching between two current values. The maximum value of noise increases exponentially with system size, while the position of this maximum shifts towards the phase transition point. Finally, on the methodological side, the paper demonstrates that current fluctuations in large systems can be effectively characterized by combining a path integral approach for macroscopic fluctuations together with an effective two-state model describing subextensive transitions between the two macroscopic states involved in the phase transition.
BibTeX:
@article{Ptaszynski2024vol,
  author = {Ptaszynski, Krzysztof and Esposito, Massimiliano},
  title = {Critical heat current fluctuations in Curie-Weiss model in and out of equilibrium},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2411.19643}
}
Shmakov, S., Osipycheva, G. and Littlewood, P.B. Gaussian fluctuations of non-reciprocal systems 2024   article DOI  
Abstract: Non-reciprocal systems can be thought of as disobeying Newtons third law - an action does not cause an equal and opposite reaction. In recent years there has been a dramatic rise in interest towards such systems. On a fundamental level, they can be a basis of describing non-equilibrium and active states of matter, with applications ranging from physics to social sciences. However, often the first step to understanding complex nonlinear models is to linearize about the steady states. It is thus useful to develop a careful understanding of linear non-reciprocal systems, similar to our understanding of Gaussian systems in equilibrium statistical mechanics. In this work we explore simplest linear non-reciprocal models with noise and spatial extent. We describe their regions of stability and show how non-reciprocity can enhance the stability of a system. We demonstrate the appearance of exceptional and critical exceptional points with the respective enhancement of fluctuations for the latter. We show how strong non-reciprocity can lead to a finite-momentum instability. Finally, we comment how non-reciprocity can be a source of colored, 1/f type noise.
BibTeX:
@article{Shmakov2024vol,
  author = {Shmakov, Sergei and Osipycheva, Glasha and Littlewood, Peter B.},
  title = {Gaussian fluctuations of non-reciprocal systems},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2411.17944}
}
Yadav, A., Caravelli, F. and Wolpert, D. Mismatch cost of computing: from circuits to algorithms 2024   article DOI  
Abstract: Stochastic thermodynamics extends equilibrium statistical physics to systems arbitrarily far from thermal equilibrium, with arbitrarily many quickly evolving degrees of freedom. These features make it the correct framework for analyzing the thermodynamics of real-world computers. Specifically, stochastic thermodynamics has been used to prove that the "mismatch cost" of a dynamic process is a lower bound on the energy dissipation, namely the entropy production (EP), of any physical system that implements that process. In particular, the mismatch cost for any periodic process - like every modern digital device - is strictly positive. Here we show that mismatch cost may be significant on the macroscopic scale, not just on the nanoscale (in contrast to many other stochastic thermodynamics bounds). We also show that the mismatch cost of systems that are coarse-grained in time and/or space still provides lower bounds to the microscopic entropy production of running such systems. We then argue that traditional computer science measures of algorithmic efficiency, focused on the resource costs of "space" and "time" complexity, should include a third cost - thermodynamic cost - and that mismatch cost is well-suited to bounding such a cost for arbitrary computational machines. Accordingly, we derive the mismatch cost for running an arbitrary Boolean circuit and for running an arbitrary Random Access Stored Program machine (a simplified model of a microprocessor).
BibTeX:
@article{Yadav2024vola,
  author = {Yadav, Abhishek and Caravelli, Francesco and Wolpert, David},
  title = {Mismatch cost of computing: from circuits to algorithms},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2411.16088}
}
Aslyamov, T., Ptaszyʼnski, K. and Esposito, M. Nonequilibrium Fluctuation-Response Relations: From Identities to Bounds 2024   article DOI  
Abstract: In nonequilibrium steady states of Markov jump processes, we derive exact Fluctuation-Response Relations (FRRs) that express the covariance between any pair of currents in terms of static responses in a notably simple form, thus generalizing the fluctuation-dissipation theorem far from equilibrium. We begin by considering perturbations in the symmetric part of the rates. We demonstrate that FRRs imply a hierarchy of thermodynamic bounds. These latter prove the recently conjectured Response Thermodynamic Uncertainty Relation (R-TUR), which bounds the ratio between any current's response and its variance by the entropy production rate (EPR). We furthermore strengthen this bound in two distinct ways, using partial EPR in one case and pseudo-EPR in the other. For perturbations in the antisymmetric part of the rates, we show that the ratio between any current's response and its variance is bounded by traffic, a metric representing the total number of transitions per unit time in the system. As an application, we use FRRs to explain the origin of positive correlations between currents in Coulomb-blockaded systems previously observed in experiments.
BibTeX:
@article{Aslyamov2024vol,
  author = {Aslyamov, Timur and Ptaszyʼnski, Krzysztof and Esposito, Massimiliano},
  title = {Nonequilibrium Fluctuation-Response Relations: From Identities to Bounds},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2410.17140}
}
Palmqvist, D., Tesser, L. and Splettstoesser, J. Kinetic uncertainty relations for quantum transport 2024   article DOI  
Abstract: We analyze the precision of currents in a generic multi-terminal quantum-transport setting. Employing scattering theory, we show that the precision of the currents is limited by a function of the particle-current noise that can be interpreted as the activity in the classical limit. We thereby establish a kinetic uncertainty relation for quantum transport. In the full quantum limit, we find precision bounds in which we modify the activity constraints depending on whether the system is fermionic or bosonic. We expect these bounds to be guidelines for any transport process aiming at high precision.
BibTeX:
@article{Palmqvist2024vol,
  author = {Palmqvist, Didrik and Tesser, Ludovico and Splettstoesser, Janine},
  title = {Kinetic uncertainty relations for quantum transport},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2410.10793}
}
Yadav, A. and Wolpert, D. Minimal thermodynamic cost of communication 2024   article DOI  
Abstract: Thermodynamic cost of communication is a major factor in the thermodynamic cost of real world computers, both biological and digital. However, little is known about the fundamental features of this cost. Addressing this hole in the literature, our first major contribution is a strictly positive lower bound on on the unavoidable entropy production (EP) in any physical system that implements a communication channel. Specifically, we derive a relationship between the rate of information transmission across a channel and the minimal thermodynamic cost incurred by any physical systems that implements that transmission. We use this relationship to show that under certain conditions, transmitting information through multiple, high-noise channels (reverse multiplexing) can be thermodynamically more efficient than using a single, low noise channel. We then address the thermodynamic costs inherent in the computational front-ends and back ends to communication channels, which are used to implement error correcting codes over those channels an essential component of modern communication systems. Our second major contribution is a strictly positive lower bound on the minimal EP of any physical system that implements those encoding and decoding algorithms. We use this bound to make a detailed comparison of the minimal thermodynamic costs across various linear codes and error rates. Because our results are like the second law, applying independently of the physical details of the system, they provide valuable insights into the trade offs between decoding error and thermodynamic efficiency. This gives a deeper understanding of the interplay between algorithmic design of error-correcting codes and physical constraints in communication systems.
BibTeX:
@article{Yadav2024vol,
  author = {Yadav, Abhishek and Wolpert, David},
  title = {Minimal thermodynamic cost of communication},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2410.14920}
}
Yoshimura, K., Maekawa, Y., Nagayama, R. and Ito, S. Force-current structure in Markovian open quantum systems and its applications: geometric housekeeping-excess decomposition and thermodynamic trade-off relations 2024   article DOI  
Abstract: Thermodynamic force and irreversible current are the foundational concepts of classical nonequilibrium thermodynamics. Entropy production rate is provided by their product in classical systems, ranging from mesoscopic to macroscopic systems. However, there is no complete quantum extension of such a structure that respects quantum mechanics. In this paper, we propose anti-Hermitian operators that represent currents and forces accompanied by a gradient structure in open quantum systems described by the quantum master equation. We prove that the entropy production rate is given by the product of the force and current operators, which extends the canonical expression of the entropy production rate in the classical systems. The framework constitutes a comprehensive analogy with the nonequilibrium thermodynamics of discrete classical systems. We also show that the structure leads to the extensions of some results in stochastic thermodynamics: the geometric housekeeping-excess decomposition of entropy production and thermodynamic trade-off relations such as the thermodynamic uncertainty relation and the dissipation-time uncertainty relation. In discussing the trade-off relations, we will introduce a measure of fluctuation, which we term the quantum diffusivity.
BibTeX:
@article{Yoshimura2024vol,
  author = {Yoshimura, Kohei and Maekawa, Yoh and Nagayama, Ryuna and Ito, Sosuke},
  title = {Force-current structure in Markovian open quantum systems and its applications: geometric housekeeping-excess decomposition and thermodynamic trade-off relations},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2410.22628}
}
Markvart, T. Thermodynamic limit on the open circuit voltage of solar cells 2024   article DOI  
Abstract: A new thermodynamic limit for the open circuit voltage of solar cells that includes thermalization is obtained in terms of photon entropy. A simple graphical construction makes it possible to link this limit to the existing limits for single junction cells due to Trivich and Flinn, Shockley and Queisser and Würfel, and the thermodynamic Carnot-type limit for hot-carrier solar cell. At the fundamental level, this limit points to similarity between photovoltaic and thermoelectric energy conversion.
BibTeX:
@article{Markvart2024vol,
  author = {Markvart, Tom},
  title = {Thermodynamic limit on the open circuit voltage of solar cells},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2409.02713}
}
Müller, J., Sammüller, F. and Schmidt, M. Why gauge invariance applies to statistical mechanics 2024   article DOI  
Abstract: We give an introductory account of the recently identified gauge invariance of the equilibrium statistical mechanics of classical many-body systems [J. Müller et al., Phys. Rev. Lett. (to appear) arXiv:2406.19235]. The gauge transformation is a non-commutative shifting operation on phase space that keeps the differential phase space volume element and hence the Gibbs integration measure conserved. When thermally averaged any observable is an invariant, including thermodynamic and structural quantities. Shifting transformations are canonical in the sense of classical mechanics. They also form an infinite-dimensional group with generators of infinitesimal transformations that build a non-commutative Lie algebra. We lay out the connections with the underlying geometry of coordinate displacement and with Noether's theorem. Spatial localization of the shifting yields differential operators that satisfy commutator relationships, which we describe both in purely configurational and in full phase space setups. Standard operator calculus yields corresponding equilibrium hyperforce correlation sum rules for general observables and order parameters. Using Monte Carlos simulations we demonstrate explicitly the gauge invariance for finite shifting. We argue in favour of using the gauge invariance as a statistical mechanical construction principle for obtaining exact results and for formulating smart sampling algorithms.
BibTeX:
@article{Mueller2024vol,
  author = {Müller, Johanna and Sammüller, Florian and Schmidt, Matthias},
  title = {Why gauge invariance applies to statistical mechanics},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2409.14166}
}
Beyen, A. and Maes, C. First part of Clausius heat theorem in terms of Noether's theorem 2024   article DOI  
Abstract: After Helmholtz, the mechanical foundation of thermodynamics included the First Law d E = δ Q + δ W, and the first part of the Clausius heat theorem δ Q^rev/T = dS. The resulting invariance of the entropy S for quasistatic changes in thermally isolated systems invites a connection with Noether's theorem (only established later). In this quest, we continue an idea, first brought up by Wald in black hole thermodynamics and by Sasa et al. in various contexts. We follow both Lagrangian and Hamiltonian frameworks, and emphasize the role of Killing equations for deriving a First Law for thermodynamically consistent trajectories, to end up with an expression of ``heat over temperature'' as an exact differential of a Noether charge.
BibTeX:
@article{Beyen2024vola,
  author = {Beyen, Aaron and Maes, Christian},
  title = {First part of Clausius heat theorem in terms of Noether's theorem},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2408.15773}
}
Beyen, A. and Maes, C. Noether's theorem applied to GENERIC 2024   article DOI  
Abstract: The adiabatic invariance of the thermodynamic entropy invites a connection with Noether's theorem, which has been the subject of various papers. Here we include macroscopic dynamics known as GENERIC for which the dynamical fluctuations show a canonical structure. We find a continuous symmetry of the corresponding path-space action when restricting to quasistatic trajectories, with the thermodynamic entropy as Noether charge.
BibTeX:
@article{Beyen2024volb,
  author = {Beyen, Aaron and Maes, Christian},
  title = {Noether's theorem applied to GENERIC},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2408.16691}
}
Raux, P., Goupil, C. and Verley, G. Thermodynamic circuits: Association of devices in stationary nonequilibrium 2024 Phys. Rev. E
Vol. 110, pp. 014134 
article DOI URL 
Abstract: For a circuit made of thermodynamic devices in stationary nonequilibrium, we determine the mean currents (of energy, matter, charge, etc.) exchanged with external reservoirs driving the circuit out of equilibrium. Starting from the conductance matrix describing the nonlinear current-force characteristics of each device, we obtain the conductance matrix of the composite device. This generalizes the rule of resistance addition (serial association) or conductance addition (parallel association) in stationary out-of-equilibrium thermodynamics and for multiple coupled potentials and currents of different natures. Our work emphasizes the pivotal role of conservation laws when creating circuits of complex devices. Finally, two examples illustrate among others the determination of the conservation laws for the serial and parallel associations of thermodynamic devices.
BibTeX:
@article{Raux2024vol110,
  author = {Raux, Paul and Goupil, Christophe and Verley, Gatien},
  title = {Thermodynamic circuits: Association of devices in stationary nonequilibrium},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2024},
  volume = {110},
  pages = {014134},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Raux2024vol110.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Raux2024vol110.pdf},
  doi = {https://doi.org/10.1103/PhysRevE.110.014134}
}
Verley, G. Nonequilibrium fluctuations and conversion processes 2024 School: Université Paris Saclay  phdthesis URL 
Abstract: This professorial thesis presents a comprehensive study of conversion processes at the mean and fluctuating levels. It relies on stochastic thermodynamics to model small converters coupling different currents. Large deviation theory provides methodological tools for the presented works, but it is also considered for its profound interplay with statistical physics. The introductory chapter delves into an overall description of my research, zooming into various subfields such as nonequilibrium response theory, fluctuation relations, dynamical phase transitions, Doob transformation, and rectification, or exact computation of cumulant generating function.

The second chapter introduces stochastic thermodynamics and the physics of coupled currents in the linear and nonlinear regime at the mean level. We describe the concept of nonlinear conductance and apply this concept to develop a circuit theory of nonequilibrium devices.

The third chapter focuses on results in large deviation theory. We extend to level 2.5 the existing relation between large deviations with asymptotically long observation times or asymptotically large activity. In this context, we relate the Doob-transformed processes in continuous and discrete time. Next, we describe the difficulty arising when trying to relate, by Doob transforms, the arrhénius dynamics of in- and out-of-equilibrium systems. We end this chapter by generalizing our work on nonlinear conductance matrices for time-periodic states.

The last chapter emphasizes the coherence of our works that aim to characterize the stochastic efficiency of highly fluctuating converters.

BibTeX:
@phdthesis{Verley2024volHDR,
  author = {Verley, Gatien},
  title = {Nonequilibrium fluctuations and conversion processes},
  school = {Université Paris Saclay},
  year = {2024},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2024volHDR.pdfPDF},
  url = {https://theses.hal.science/tel-04719790}
}
Beyen, A. and Maes, C. Entropy as Noether charge for quasistatic gradient flow 2024   article  
Abstract: Entropy increase is fundamentally related to the breaking of time-reversal symmetry. By adding the 'extra dimension' associated with thermodynamic forces, we extend that discrete symmetry to a continuous symmetry for the dynamical fluctuations around (nonlinear) gradient flow. The latter connects macroscopic equilibrium conditions upon introducing a quasistatic protocol of control parameters. The entropy state function becomes the Noether charge. As a result, and following ideas expressed by Shin-ichi Sasa and co-workers, the adiabatic invariance of the entropy, part of the Clausius heat theorem, gets connected with the Noether theorem.
BibTeX:
@article{Beyen2024vol,
  author = {Aaron Beyen and Christian Maes},
  title = {Entropy as Noether charge for quasistatic gradient flow},
  year = {2024}
}
Osborne, A. and Lucas, A. Stochastic theory of nonlinear electrical circuits in thermal equilibrium 2024   article  
Abstract: We revisit the theory of dissipative mechanics in RLC circuits, allowing for circuit elements to have nonlinear constitutive relations, and for the circuit to have arbitrary topology. We systematically generalize the dissipationless Hamiltonian mechanics of an LC circuit to account for resistors and incorporate the physical postulate that the resulting RLC circuit thermalizes with its environment at a constant positive temperature. Our theory explains stochastic fluctuations, or Johnson noise, which are mandated by the fluctuation-dissipation theorem. Assuming Gaussian Markovian noise, we obtain exact expressions for multiplicative Johnson noise through nonlinear resistors in circuits with convenient (parasitic) capacitors and/or inductors. With linear resistors, our formalism is describable using a Kubo-Martin-Schwinger-invariant Lagrangian formalism for dissipative thermal systems. Generalizing our technique to quantum circuits could lead to an alternative way to study decoherence in nonlinear superconducting circuits without the Caldeira-Leggett formalism.
BibTeX:
@article{Osborne2024vol,
  author = {Andrew Osborne and Andrew Lucas},
  title = {Stochastic theory of nonlinear electrical circuits in thermal equilibrium},
  year = {2024}
}
Yoshimura, K. and Ito, S. Two applications of stochastic thermodynamics to hydrodynamics 2024 Physical Review Research
Vol. 6(2), pp. l022057 
article DOI  
BibTeX:
@article{Yoshimura2024vol6,
  author = {Yoshimura, Kohei and Ito, Sosuke},
  title = {Two applications of stochastic thermodynamics to hydrodynamics},
  journal = {Physical Review Research},
  publisher = {American Physical Society (APS)},
  year = {2024},
  volume = {6},
  number = {2},
  pages = {l022057},
  doi = {https://doi.org/10.1103/physrevresearch.6.l022057}
}
Bernardin, C. and Chetrite, R. Macroscopic Fluctuation Theory for Ginzburg-Landau dynamics with long range interactions 2024   article  
Abstract: Focusing on a famous class of interacting diffusion processes called Ginzburg-Landau (GL) dynamics, we extend the Macroscopic Fluctuations Theory (MFT) to these systems in the case where the interactions are long-range, and consequently, the macroscopic effective equations are described by non-linear fractional diffusion equations.
BibTeX:
@article{Bernardin2024vol,
  author = {Cédric Bernardin and Raphaël Chetrite},
  title = {Macroscopic Fluctuation Theory for Ginzburg-Landau dynamics with long range interactions},
  year = {2024}
}
Bilancioni, M. and Esposito, M. Elementary Flux Modes as CRN Gears for Free Energy Transduction 2024   article  
Abstract: We demonstrate that, for a chemical reaction network (CRN) engaged in energy transduction, its optimal operation from a thermodynamic efficiency standpoint is contingent upon its working conditions. Analogously to the bicycle gear system, CRNs have at their disposal several transducing mechanisms characterized by different yields. We highlight the critical role of the CRN's elementary flux modes in determining this "gearing" and their impact on maximizing energy transduction efficiency. Furthermore, we introduce an enzymatically regulated CRN, engineered to autonomously adjust its "gear", thereby optimizing its efficiency under different external conditions.
BibTeX:
@article{Bilancioni2024vol,
  author = {Massimo Bilancioni and Massimiliano Esposito},
  title = {Elementary Flux Modes as CRN Gears for Free Energy Transduction},
  year = {2024}
}
Guislain, L. and Bertin, E. Far-from-equilibrium complex landscapes 2024   article  
Abstract: Systems with a complex dynamics like glasses or models of biological evolution are often pictured in terms of complex landscapes, with a large number of possible collective states. We show on the example of a stochastic spin model with non-reciprocal and heterogeneous interactions how the complex landscape notion can be generalized far from equilibrium, where collective states may exhibit spontaneous oscillations, often hidden by the presence of disorder. We identify relevant observables, like the density of entropy production, to unveil the presence of oscillations, and we characterize the complex landscape of our model in terms of a configurational entropy, that counts the number of nonequilibrium collective states with a given entropy production density.
BibTeX:
@article{Guislain2024vol,
  author = {Laura Guislain and Eric Bertin},
  title = {Far-from-equilibrium complex landscapes},
  year = {2024}
}
Mukherjee, S., Doussal, P.L. and Smith, N.R. Large deviations in statistics of the local time and occupation time for a run and tumble particle 2024   article  
Abstract: We investigate the statistics of the local time T = _0^T (x(t)) dt that a run and tumble particle (RTP) x(t) in one dimension spends at the origin, with or without an external drift. By relating the local time to the number of times the RTP crosses the origin, we find that the local time distribution P(T) satisfies the large deviation principle P(T) ∼ , e^-T , I(T / T) in the large observation time limit T to ∞. Remarkably, we find that in presence of drift the rate function I() is nonanalytic: We interpret its singularity as dynamical phase transitions of first order. We then extend these results by studying the statistics of the amount of time R that the RTP spends inside a finite interval (i.e., the occupation time), with qualitatively similar results. In particular, this yields the long-time decay rate of the probability P(R = T) that the particle does not exit the interval up to time T. We find that the conditional endpoint distribution exhibits an interesting change of behavior from unimodal to bimodal as a function of the size of the interval. To study the occupation time statistics, we extend the Donsker-Varadhan large-deviation formalism to the case of RTPs, for general dynamical observables and possibly in the presence of an external potential.
BibTeX:
@article{Mukherjee2024vol,
  author = {Soheli Mukherjee and Pierre Le Doussal and Naftali R. Smith},
  title = {Large deviations in statistics of the local time and occupation time for a run and tumble particle},
  year = {2024}
}
Pikeroen, Q., Paillard, D. and Watrin, K. A radiative-convective model computing precipitation with the maximum entropy production hypothesis 2024 Geoscientific Model Development
Vol. 17(9), pp. 3801-3814 
article DOI  
BibTeX:
@article{Pikeroen2024vol17,
  author = {Pikeroen, Quentin and Paillard, Didier and Watrin, Karine},
  title = {A radiative-convective model computing precipitation with the maximum entropy production hypothesis},
  journal = {Geoscientific Model Development},
  publisher = {Copernicus GmbH},
  year = {2024},
  volume = {17},
  number = {9},
  pages = {3801--3814},
  doi = {https://doi.org/10.5194/gmd-17-3801-2024}
}
Raux, P., Goupil, C. and Verley, G. Thermodynamic Circuits 2: Nonequilibrium conductance matrix for a thermoelectric converter 2024 Arxiv  article URL 
Abstract: Starting from a linear flux-force relation of a thermoelectric material in local equilibrium, we derive non-linear relations between the currents and forces of a thermoelectric converter (TEC) driven far from equilibrium. Our investigation focuses on a one-dimensional TEC of finite thickness. Building on the achievements of the first paper of this series, we unveil the conservation laws governing physical currents (ie linearly dependent currents). Using the latter allows to put forward two relevant bases of physical and fundamental currents. For these bases, we introduce the concept of non equilibrium conductance matrix to describe the current-force relations of a TEC. This concept will be at the core of the third paper of this series in which we illustrate the serial and parallel association on composite TECs. Finally, we determine in a unified way the optimal working points of the TEC in its two operating modes: the electric generator and the heat pump.
BibTeX:
@article{Raux2024vol,
  author = {Paul Raux and Christophe Goupil and Gatien Verley},
  title = {Thermodynamic Circuits 2: Nonequilibrium conductance matrix for a thermoelectric converter},
  journal = {Arxiv},
  year = {2024},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Raux2024.pdf}
}
Rax, J.-M. Gravity induced CP violation 2024   article DOI  
Abstract: The impact of earth's gravity on neutral kaons oscillations is analyzed. The main effect of a Newtonian potential is to couple the strangeness oscillation and the strange quarks zitterbewegung. This coupling is responsible for the observed CP violations. Gravity induced CP violation is in fact a CPT violation with T conservation rather than a T violation with CPT conservation, but the finite lifetime of the short-lived kaons induces a rotation of the imaginary CPT parameter such that it becomes real and the effect is observed as a CP and T violation. Both indirect and direct violation parameters are predicted in agreement with the experimental data.
BibTeX:
@article{Rax2024vol,
  author = {Rax, J-M},
  title = {Gravity induced CP violation},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2405.17317}
}
Tome, T. and de Oliveira, M.J. Entropy production of the contact model 2024   article  
Abstract: We propose an expression for the production of entropy for system described by a stochastic dynamics which is appropriate for the case where the reverse transition rate vanishes but the forward transition is nonzero. The expression is positive defined and based on the inequality xln x-(x-1)0. The corresponding entropy flux is linear in the probability distribution allowing its calculation as an average. The expression is applied to the one-dimensional contact process at the stationary state. We found that the rate of entropy production per site is finite with a singularity at the critical point with diverging slope.
BibTeX:
@article{Tome2024vol,
  author = {Tânia Tome and Mário J. de Oliveira},
  title = {Entropy production of the contact model},
  year = {2024}
}
Andrieux, D. A Minkowski space embedding to understand Markov models dynamics 2024   article  
Abstract: To describe the behavior of Markov models as parameters are varied, I show how to embed the space of Markov models within a Minkowski space. This embedding maintains the inherent distance between different instances of the model. The coordinates of this embedding emerge from the symmetrized Kullback-Leibler divergence and are expressed in terms of thermodynamic quantities, organizing the Minkowski space into equilibrium and nonequilibrium components. With this approach, we can visualize models dynamics and gain a thermodynamic interpretation of information geometric concepts, even in far-from-equilibrium scenarios. I illustrate this approach using an analytically solvable molecular motor model.
BibTeX:
@article{Andrieux2024vol,
  author = {David Andrieux},
  title = {A Minkowski space embedding to understand Markov models dynamics},
  year = {2024}
}
Andrieux, D. Irreversibility as divergence from equilibrium 2024   article DOI  
Abstract: The entropy production is commonly interpreted as measuring the distance from equilibrium. However, this explanation lacks a rigorous description due to the absence of a natural equilibrium measure. The present analysis formalizes this interpretation by expressing the entropy production of a Markov system as a divergence with respect to particular equilibrium dynamics. These equilibrium dynamics correspond to the closest reversible systems in the information-theoretic sense. This result yields new lower bounds for the entropy production and novel links between thermodynamics and information geometry.
BibTeX:
@article{Andrieux2024vola,
  author = {Andrieux, David},
  title = {Irreversibility as divergence from equilibrium},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2404.01978}
}
Avanzini, F., Bilancioni, M., Cavina, V., Dal Cengio, S., Esposito, M., Falasco, G., Forastiere, D., Freitas, J.N., Garilli, A., Harunari, P.E., Lecomte, V., Lazarescu, A., Marehalli Srinivas, S.G., Moslonka, C., Neri, I., Penocchio, E., Piñeros, W.D., Polettini, M., Raghu, A., Raux, P., Sekimoto, K. and Soret, A. Methods and conversations in (post)modern thermodynamics 2024 SciPost Physics Lecture Notes  article DOI  
BibTeX:
@article{Avanzini2024vol,
  author = {Avanzini, Francesco and Bilancioni, Massimo and Cavina, Vasco and Dal Cengio, Sara and Esposito, Massimiliano and Falasco, Gianmaria and Forastiere, Danilo and Freitas, Jose Nahuel and Garilli, Alberto and Harunari, Pedro E. and Lecomte, Vivien and Lazarescu, Alexandre and Marehalli Srinivas, Shesha G. and Moslonka, Charles and Neri, Izaak and Penocchio, Emanuele and Piñeros, William D. and Polettini, Matteo and Raghu, Adarsh and Raux, Paul and Sekimoto, Ken and Soret, Ariane},
  title = {Methods and conversations in (post)modern thermodynamics},
  journal = {SciPost Physics Lecture Notes},
  publisher = {Stichting SciPost},
  year = {2024},
  doi = {https://doi.org/10.21468/scipostphyslectnotes.80}
}
Acciai, M., Tesser, L., Eriksson, J., Sánchez, R., Whitney, R.S. and Splettstoesser, J. Constraints between entropy production and its fluctuations in nonthermal engines 2024 Physical Review B
Vol. 109(7), pp. 075405 
article DOI  
BibTeX:
@article{Acciai2024vol109,
  author = {Acciai, Matteo and Tesser, Ludovico and Eriksson, Jakob and Sánchez, Rafael and Whitney, Robert S. and Splettstoesser, Janine},
  title = {Constraints between entropy production and its fluctuations in nonthermal engines},
  journal = {Physical Review B},
  publisher = {American Physical Society (APS)},
  year = {2024},
  volume = {109},
  number = {7},
  pages = {075405},
  doi = {https://doi.org/10.1103/physrevb.109.075405}
}
Harunari, P.E., Cengio, S.D., Lecomte, V. and Polettini, M. Mutual linearity of nonequilibrium network currents 2024   article DOI  
Abstract: For continuous-time Markov chains and open unimolecular chemical reaction networks, we prove that any two stationary currents are linearly related upon perturbations of a single edge's transition rates, arbitrarily far from equilibrium. We extend the result to non-stationary currents in the frequency domain, provide and discuss an explicit expression for the current-current susceptibility in terms of the network topology, and discuss possible generalizations. In practical scenarios, the mutual linearity relation has predictive power and can be used as a tool for inference or model proof-testing.
BibTeX:
@article{Harunari2024vol,
  author = {Pedro E. Harunari and Sara Dal Cengio and Vivien Lecomte and Matteo Polettini},
  title = {Mutual linearity of nonequilibrium network currents},
  year = {2024},
  doi = {https://doi.org/10.1103/PhysRevLett.133.047401}
}
Andrieux, D. Revealing hidden structures and symmetries in nonequilibrium transport 2024   article DOI  
Abstract: Recent results have shown how to partition the space of Markov systems into dynamical equivalence classes. These equivalence classes structure transport properties in such a way that makes, among other features, their responses fully symmetric. In this note, I illustrate this approach on two representative systems. First, I derive analytical expressions for the equivalence classes of a disordered ring model. Second, I verify on a model of ion transport that, within an equivalence class, the response of coupled currents is symmetric both near and far from equilibrium.
BibTeX:
@article{Andrieux2024volb,
  author = {Andrieux, David},
  title = {Revealing hidden structures and symmetries in nonequilibrium transport},
  publisher = {arXiv},
  year = {2024},
  doi = {https://doi.org/10.48550/ARXIV.2401.14496}
}
Raux, P. Circuit theory for thermodynamic devices instationary nonequilibrium 2024 School: Université Paris Cité  phdthesis  
Abstract: As with the study of electronic circuits, the study of complex systems is often facilitated by breaking them down into simpler subsystems. Two sub-problems then arise: 1) the study of each sub-system separately; 2) the emergence of new behaviours when they are reassembled. The theory of non-equilibrium circuits is best understood for a single pair of current (electric) and conjugate thermodynamic force (voltage), as is the case in electronics. Each subsystem is then described by a current-voltage characteristic, summarised in the concept of scalar impedance. The current-voltage characteristic of the whole system is then obtained using the conservation laws within and at the interface of each subsystem (e.g. Kirchoff's laws).

The aim of this thesis is to extend the results from steady state electronics to non-equilibrium steady state thermodynamic machines with an arbitrary number of conjugate currents and forces subject to different couplings (e.g. thermoelectric). To do this, we need to find tools for treating conservation laws within a complex network. The notion of scalar impedance must also be replaced by a matrix object, the non-equilibrium conductance matrix, to account for the coupling between the different types of currents flowing through the system.

This manuscript is in three parts. In the first part, we review the state of the art in the algebraic treatment of thermodynamic converters. In the second part, we demonstrate the calculation of the non-equilibrium conductance matrix for chemical reaction networks and thermoelectric converters. Finally, in the last section, we demonstrate the resistance/conductance summation laws for series/parallel combinations.

BibTeX:
@phdthesis{Raux2024thesis,
  author = {Paul Raux},
  title = {Circuit theory for thermodynamic devices instationary nonequilibrium},
  school = {Université Paris Cité},
  year = {2024}
}
Garilli, A., Harunari, P.E. and Polettini, M. Fluctuation relations for a few observable currents at their own beat 2023   article  
Abstract: Coarse-grained models are widely used to explain the effective behavior of partially observable physical systems with hidden degrees of freedom. Reduction procedures in state space typically disrupt Markovianity and a fluctuation relation cannot be formulated. A recently developed framework of transition-based coarse-graining gave rise to a fluctuation relation for a single current, while all others are hidden. Here, we extend the treatment to an arbitrary number of observable currents. Crucial for the derivation are the concepts of mixed currents and their conjugated effective affinities, that can be inferred from the time series of observable transitions. We also discuss the connection to generating functions, transient behavior, and how our result recovers the fluctuation relation for a complete set of currents.
BibTeX:
@article{Garilli2023vol,
  author = {Alberto Garilli and Pedro E. Harunari and Matteo Polettini},
  title = {Fluctuation relations for a few observable currents at their own beat},
  year = {2023}
}
Nagayama, R., Yoshimura, K., Kolchinsky, A. and Ito, S. Geometric thermodynamics of reaction-diffusion systems: Thermodynamic trade-off relations and optimal transport for pattern formation 2023   article DOI  
Abstract: We establish universal relations between pattern formation and dissipation with a geometric approach to nonequilibrium thermodynamics of deterministic reaction-diffusion systems. We first provide a way to systematically decompose the entropy production rate (EPR) based on the orthogonality of thermodynamic forces, in this way identifying the amount of dissipation caused by each factor. This enables us to extract the excess EPR that genuinely contributes to the time evolution of patterns. We also show that a similar geometric method further decomposes the EPR into detailed contributions, e.g., the dissipation from each point in real or wavenumber space. Second, we relate the excess EPR to the details of the change in patterns through two types of thermodynamic trade-off relations for reaction-diffusion systems: thermodynamic speed limits and thermodynamic uncertainty relations. The former relates dissipation and the speed of pattern formation, and the latter bounds the excess EPR with partial information on patterns, such as specific Fourier components of concentration distributions. In connection with the derivation of the thermodynamic speed limits, we also extend optimal transport theory to reaction-diffusion systems, which enables us to measure the speed of the time evolution. This extension of optimal transport also solves the minimization problem of the dissipation associated with the transition between two patterns, and it constructs energetically efficient protocols for pattern formation. We numerically demonstrate our results using chemical traveling waves in the Fisher-Kolmogorov-Petrovsky-Piskunov equation and changes in symmetry in the Brusselator model. Our results apply to general reaction-diffusion systems and contribute to understanding the relations between pattern formation and unavoidable dissipation.
BibTeX:
@article{Nagayama2023vol,
  author = {Nagayama, Ryuna and Yoshimura, Kohei and Kolchinsky, Artemy and Ito, Sosuke},
  title = {Geometric thermodynamics of reaction-diffusion systems: Thermodynamic trade-off relations and optimal transport for pattern formation},
  publisher = {arXiv},
  year = {2023},
  doi = {https://doi.org/10.48550/ARXIV.2311.16569}
}
Grmela, M. Thermodynamics and Rate Thermodynamics 2023   article  
Abstract: Approach of mesoscopic state variables to time independent equilibrium sates (zero law of thermodynamics) gives birth to the classical equilibrium thermodynamics. Approach of fluxes and forces to fixed points (equilibrium fluxes and forces) that drive reduced mesoscopic dynamics gives birth to the rate thermodynamics that is applicable to driven systems. We formulate the rate thermodynamics and dynamics, investigate its relation to the classical thermodynamics, to extensions involving more details, to the hierarchy reformulations of dynamical theories, and to the Onsager variational principle. We also compare thermodynamic and dynamic critical behavior observed in closed and open systems. Dynamics and thermodynamics of the van der Waals gas provides an illustration.
BibTeX:
@article{Grmela2023vol,
  author = {Miroslav Grmela},
  title = {Thermodynamics and Rate Thermodynamics},
  year = {2023}
}
Proctor, G.E. and Trachenko, K. Generally applicable physics-based equation of state for liquids 2023   article  
Abstract: Physics-based first-principles pressure-volume-temperature equations of state (EOS) exist for solids and gases but not for liquids due to the long-standing fundamental problems involved in liquid theory. Current EOS models that are applicable to liquids and supercritical fluids at liquid-like density under conditions relevant to planetary interiors and industrial processes are complex empirical models with many physically meaningless adjustable parameters. Here, we develop a generally applicable physics-based (GAP) EOS for liquids including supercritical fluids at liquid-like density. The GAP equation has only one dimensionless parameter: the Grüneisen parameter for the fluid. The GAP equation is explicit in the internal energy, and hence links the most fundamental macroscopic static property of fluids, the pressure-volume-temperature EOS, to their key microscopic property: the molecular hopping frequency or liquid relaxation time, from which the internal energy can be obtained. We test our GAP equation against available experimental data in several different ways and find good agreement. We observe that the GAP equation is similar to the Mie-Grüneisen solid EOS in a wide range of the liquid phase diagram. This similarity is ultimately related to the condensed state of these two phases. On the other hand, the differences between the GAP equation and EOS for gases are fundamental. Finally, we identify the key gaps in the experimental data that need to be filled in to proceed further with the liquid EOS.
BibTeX:
@article{Proctor2023vol,
  author = {G. E. Proctor and K. Trachenko},
  title = {Generally applicable physics-based equation of state for liquids},
  year = {2023}
}
Aifer, M., Donatella, K., Gordon, M.H., Ahle, T., Simpson, D., Crooks, G.E. and Coles, P.J. Thermodynamic Linear Algebra 2023   article  
Abstract: Linear algebraic primitives are at the core of many modern algorithms in engineering, science, and machine learning. Hence, accelerating these primitives with novel computing hardware would have tremendous economic impact. Quantum computing has been proposed for this purpose, although the resource requirements are far beyond current technological capabilities, so this approach remains long-term in timescale. Here we consider an alternative physics-based computing paradigm based on classical thermodynamics, to provide a near-term approach to accelerating linear algebra. At first sight, thermodynamics and linear algebra seem to be unrelated fields. In this work, we connect solving linear algebra problems to sampling from the thermodynamic equilibrium distribution of a system of coupled harmonic oscillators. We present simple thermodynamic algorithms for (1) solving linear systems of equations, (2) computing matrix inverses, (3) computing matrix determinants, and (4) solving Lyapunov equations. Under reasonable assumptions, we rigorously establish asymptotic speedups for our algorithms, relative to digital methods, that scale linearly in matrix dimension. Our algorithms exploit thermodynamic principles like ergodicity, entropy, and equilibration, highlighting the deep connection between these two seemingly distinct fields, and opening up algebraic applications for thermodynamic computing hardware.
BibTeX:
@article{Aifer2023vol,
  author = {Maxwell Aifer and Kaelan Donatella and Max Hunter Gordon and Thomas Ahle and Daniel Simpson and Gavin E. Crooks and Patrick J. Coles},
  title = {Thermodynamic Linear Algebra},
  year = {2023}
}
Beneke, M., König, M. and Link, M. The Inverted Pendulum as a Classical Analog of the EFT Paradigm 2023 Phys. Scr. 99 (2024) 065240  article DOI  
Abstract: The inverted pendulum is a mechanical system with a rapidly oscillating pivot point. Using techniques similar in spirit to the methodology of effective field theories, we derive an effective Lagrangian that allows for the systematic computation of corrections to the so-called Kapitza equation. The derivation of the effective potential of the system requires non-trivial matching conditions, which need to be determined order by order in the power-counting of the problem. The convergence behavior of the series is investigated on the basis of high-order results obtained by this method.
BibTeX:
@article{Beneke2023vol,
  author = {Martin Beneke and Matthias König and Martin Link},
  title = {The Inverted Pendulum as a Classical Analog of the EFT Paradigm},
  journal = {Phys. Scr. 99 (2024) 065240},
  year = {2023},
  doi = {https://doi.org/10.1088/1402-4896/ad4184}
}
Giuli, E.D. Fermionic theory of nonequilibrium steady states 2023   article  
Abstract: As the quantification of metabolism, nonequilibrium steady states play a central role in living matter, but are beyond the purview of equilibrium statistical mechanics. Here we develop a fermionic theory of nonequilibrium steady states in continuous-time Markovian systems. The response to an arbitrary perturbation is computed, and simplified in canonical cases. Beyond response, we consider ensembles of NESS and derive a fluctuation-response relation over a non-equilibrium ensemble. Some connections to quantum gravity are pointed out, and the formulation is extended to a supersymmetric integral one, which may form the basis of nontrivial solvable models of nonequilibrium steady states.
BibTeX:
@article{Giuli2023vol,
  author = {Eric De Giuli},
  title = {Fermionic theory of nonequilibrium steady states},
  year = {2023}
}
Monthus, C. Inverse problem in the conditioning of Markov processes on trajectory observables: what canonical conditionings can connect two given Markov generators ? 2023   article  
Abstract: In the field of large deviations for stochastic dynamics, the canonical conditioning of a given Markov process with respect to a given time-local trajectory observable over a large time-window has attracted a lot of interest recently. In the present paper, we analyze the following inverse problem: when two Markov generators are given, is it possible to connect them via some canonical conditioning and to construct the corresponding time-local trajectory observable? We focus on continuous-time Markov processes and obtain the following necessary and sufficient conditions: (i) for continuous-time Markov jump processes, the two generators should involve the same possible elementary jumps in configuration space, i.e. only the values of the corresponding rates can differ; (ii) for diffusion processes, the two Fokker-Planck generators should involve the same diffusion coefficients, i.e. only the two forces can differ. In both settings, we then construct explicitly the various time-local trajectory observables that can be used to connect the two given generators via canonical conditioning. This general framework is illustrated with various applications involving a single particle or many-body spin models. In particular, we describe several examples to show how non-equilibrium Markov processes with non-vanishing steady currents can be interpreted as the canonical conditionings of detailed-balance processes with respect to explicit time-local trajectory observables.
BibTeX:
@article{Monthus2023vol,
  author = {Cecile Monthus},
  title = {Inverse problem in the conditioning of Markov processes on trajectory observables: what canonical conditionings can connect two given Markov generators ?},
  year = {2023}
}
Bravetti, A., García-Ariza, M.Á. and Tapias, D. Thermodynamic Entropy as a Noether Invariant from Contact Geometry 2023 Entropy
Vol. 25(7), pp. 1082 
article DOI  
BibTeX:
@article{Bravetti2023vol25,
  author = {Bravetti, Alessandro and García-Ariza, Miguel Ángel and Tapias, Diego},
  title = {Thermodynamic Entropy as a Noether Invariant from Contact Geometry},
  journal = {Entropy},
  publisher = {MDPI AG},
  year = {2023},
  volume = {25},
  number = {7},
  pages = {1082},
  doi = {https://doi.org/10.3390/e25071082}
}
Contreras-Vergara, O., Sánchez-Salas, N., Valencia-Ortega, G. and Jiménez-Aquino, J.I. Carnot, Stirling, and Ericsson stochastic heat engines: Efficiency at maximum power 2023 Physical Review E
Vol. 108(1), pp. 014123 
article DOI  
BibTeX:
@article{ContrerasVergara2023vol108,
  author = {Contreras-Vergara, O. and Sánchez-Salas, N. and Valencia-Ortega, G. and Jiménez-Aquino, J. I.},
  title = {Carnot, Stirling, and Ericsson stochastic heat engines: Efficiency at maximum power},
  journal = {Physical Review E},
  publisher = {American Physical Society (APS)},
  year = {2023},
  volume = {108},
  number = {1},
  pages = {014123},
  doi = {https://doi.org/10.1103/physreve.108.014123}
}
Falasco, G. and Esposito, M. Macroscopic Stochastic Thermodynamics 2023   article  
Abstract: Starting at the mesoscopic level with a general formulation of stochastic thermodynamics in terms of Markov jump processes, we identify the scaling conditions that ensure the emergence of a (typically nonlinear) deterministic dynamics and an extensive thermodynamics at the macroscopic level. We then use large deviations theory to build a macroscopic fluctuation theory around this deterministic behavior, which we show preserves the fluctuation theorem. For many systems (e.g. chemical reaction networks, electronic circuits, Potts models), this theory does not coincide with Langevin-equation approaches (obtained by adding Gaussian white noise to the deterministic dynamics) which, if used, are thermodynamically inconsistent. Einstein-Onsager theory of Gaussian fluctuations and irreversible thermodynamics are recovered at equilibrium and close to it, respectively. Far from equilibirum, the free energy is replaced by the dynamically generated quasi-potential (or self-information) which is a Lyapunov function for the macroscopic dynamics. Remarkably, thermodynamics connects the dissipation along deterministic and escape trajectories to the Freidlin-Wentzell quasi-potential, thus constraining the transition rates between attractors induced by rare fluctuations. A coherent perspective on minimum and maximum entropy production principles is also provided. For systems that admit a continuous-space limit, we derive a nonequilibrium fluctuating field theory with its associated thermodynamics. Finally, we coarse grain the macroscopic stochastic dynamics into a Markov jump process describing transitions among deterministic attractors and formulate the stochastic thermodynamics emerging from it.
BibTeX:
@article{Falasco2023vol,
  author = {Gianmaria Falasco and Massimiliano Esposito},
  title = {Macroscopic Stochastic Thermodynamics},
  year = {2023}
}
Ponomarev, D. Basic Introduction to Higher-Spin Theories 2023 International Journal of Theoretical Physics
Vol. 62(7) 
article DOI  
BibTeX:
@article{Ponomarev2023vol62,
  author = {Dmitry Ponomarev},
  title = {Basic Introduction to Higher-Spin Theories},
  journal = {International Journal of Theoretical Physics},
  publisher = {Springer Science and Business Media LLC},
  year = {2023},
  volume = {62},
  number = {7},
  doi = {https://doi.org/10.1007/s10773-023-05399-5}
}
Andrieux, D. Making sense of nonequilibrium current fluctuations: A molecular motor example 2023   article  
Abstract: The nonequilibrium response and fluctuations of Markovian dynamics, both near and far from equilibrium, are best understood by varying the system parameters along equivalence classes. In this note, I illustrate this approach for an analytically solvable molecular motor toy model.
BibTeX:
@article{Andrieux2023vola,
  author = {David Andrieux},
  title = {Making sense of nonequilibrium current fluctuations: A molecular motor example},
  year = {2023}
}
Avanzini, F., Freitas, N. and Esposito, M. Circuit Theory for Chemical Reaction Networks 2023 Phys. Rev. X
Vol. 13, pp. 021041 
article DOI URL 
BibTeX:
@article{Avanzini2023vol13,
  author = {Avanzini, Francesco and Freitas, Nahuel and Esposito, Massimiliano},
  title = {Circuit Theory for Chemical Reaction Networks},
  journal = {Phys. Rev. X},
  publisher = {American Physical Society},
  year = {2023},
  volume = {13},
  pages = {021041},
  url = {https://link.aps.org/doi/10.1103/PhysRevX.13.021041},
  doi = {https://doi.org/10.1103/PhysRevX.13.021041}
}
Dal Cengio, S., Lecomte, V. and Polettini, M. Geometry of Nonequilibrium Reaction Networks 2023 Phys. Rev. X
Vol. 13, pp. 021040 
article DOI URL 
BibTeX:
@article{DalCengio2023vol13,
  author = {Dal Cengio, Sara and Lecomte, Vivien and Polettini, Matteo},
  title = {Geometry of Nonequilibrium Reaction Networks},
  journal = {Phys. Rev. X},
  publisher = {American Physical Society},
  year = {2023},
  volume = {13},
  pages = {021040},
  url = {https://link.aps.org/doi/10.1103/PhysRevX.13.021040},
  doi = {https://doi.org/10.1103/PhysRevX.13.021040}
}
Harunari, P.E., Garilli, A. and Polettini, M. Beat of a current 2023 Phys. Rev. E
Vol. 107, pp. L042105 
article DOI URL 
Abstract: The fluctuation relation, milestone of thermodynamics based on Markov processes, is only established when a set of fundamental currents can be measured and all transitions are reversible. Here we prove that it also holds for systems with hidden transitions (possibly irreversible) if observations are carried "at their own beat", that is, by stopping the experiment after a given number of visible transitions rather than after the elapse of an external clock time. This suggests that thermodynamics may be best described by Markov processes in the space of transitions, rather than states.
BibTeX:
@article{Harunari2023vol107,
  author = {Harunari, Pedro E. and Garilli, Alberto and Polettini, Matteo},
  title = {Beat of a current},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2023},
  volume = {107},
  pages = {L042105},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.107.L042105},
  doi = {https://doi.org/10.1103/PhysRevE.107.L042105}
}
Koukoutsis, E., Hizanidis, K., Ram, A.K. and Vahala, G. Dyson maps and unitary evolution for Maxwell equations in tensor dielectric media 2023 Physical Review A
Vol. 107(4), pp. 042215 
article DOI  
BibTeX:
@article{Koukoutsis2023vol107,
  author = {Koukoutsis, Efstratios and Hizanidis, Kyriakos and Ram, Abhay K. and Vahala, George},
  title = {Dyson maps and unitary evolution for Maxwell equations in tensor dielectric media},
  journal = {Physical Review A},
  publisher = {American Physical Society (APS)},
  year = {2023},
  volume = {107},
  number = {4},
  pages = {042215},
  doi = {https://doi.org/10.1103/physreva.107.042215}
}
Andrieux, D. Exact method for calculating the current fluctuations and nonlinear response of Markovian dynamics 2023   article  
Abstract: We show that the current fluctuations and nonlinear response of Markovian dynamics can be obtained from a system of polynomial equations. This offers new opportunities for analytical and numerical results. As an example, we derive new expressions for the current nonlinear response coefficients.
BibTeX:
@article{Andrieux2023vol,
  author = {David Andrieux},
  title = {Exact method for calculating the current fluctuations and nonlinear response of Markovian dynamics},
  year = {2023}
}
Andrieux, D. Minimal entropy production under thermodynamic constraints: An application of cycle decomposition for Markov chain design 2023   article  
Abstract: We propose to construct Markov dynamics with specified characteristics using a cycle decomposition of the space of Markov chains introduced by Cohen and Alpern. As an application of this approach, we derive the minimal entropy production required to generate prescribed thermodynamic currents.
BibTeX:
@article{,
  author = {David Andrieux},
  title = {Minimal entropy production under thermodynamic constraints: An application of cycle decomposition for Markov chain design},
  year = {2023}
}
Klemm, K., Mehta, A. and Stadler, P.F. Optimisation via encodings: a renormalisation group perspective 2023   article  
Abstract: The traditional way of tackling discrete optimization problems is by using local search on suitably defined cost or fitness landscapes. Such approaches are however limited by the slowing down that occurs when local minima, that are a feature of the typically rugged landscapes encountered, arrest the progress of the search process. Another way of tackling optimization problems is by the use of heuristic approximations to estimate a global cost minimum. Here we present a combination of these two approaches by using cover-encoding maps which map processes from a larger search space to subsets of the original search space. The key idea is to construct cover-encoding maps with the help of suitable heuristics that single out near-optimal solutions and result in landscapes on the larger search space that no longer exhibit trapping local minima. The processes that are typically employed involve some form of coarse-graining, and we suggest here that they can be viewed as avatars of renormalisation group transformations.
BibTeX:
@article{Klemm2023vol,
  author = {Konstantin Klemm and Anita Mehta and Peter F. Stadler},
  title = {Optimisation via encodings: a renormalisation group perspective},
  year = {2023}
}
Mori, T. Floquet States in Open Quantum Systems 2023 Annual Review of Condensed Matter Physics
Vol. 14(1), pp. 35-56 
article DOI  
BibTeX:
@article{Mori2023vol14,
  author = {Mori, Takashi},
  title = {Floquet States in Open Quantum Systems},
  journal = {Annual Review of Condensed Matter Physics},
  publisher = {Annual Reviews},
  year = {2023},
  volume = {14},
  number = {1},
  pages = {35--56},
  doi = {https://doi.org/10.1146/annurev-conmatphys-040721-015537}
}
Wasnik, V. Revisiting multiple thermal reservoir stochastic thermodynamics 2023   article  
Abstract: In this work we first show that for a Markovian system connected to two thermal reservoirs with temperatures T_1 and T_2, the transition rate between two energy states labelled by m and m', W_m,m' cannot be written as W^1_m,m' + W^2_m,m', where W^1 _m,m', W^2 _m,m' are the transition rates between energy states for systems connected to the corresponding thermal reservoirs. We next show that the evolution of a system connected to two thermal reservoirs is non-Markovian by considering an example of a system made up of two points at different temperatures, each following a Markovian evolution. We explain the difficulty in realizing the second law of thermodynamics using the Shannonian entropy definition for such composite systems.
BibTeX:
@article{Wasnik2023vol,
  author = {Vaibhav Wasnik},
  title = {Revisiting multiple thermal reservoir stochastic thermodynamics},
  year = {2023}
}
Srinivas, S.G.M., Polettini, M., Esposito, M. and Avanzini, F. Deficiency, Kinetic Invertibility, and Catalysis in Stochastic Chemical Reaction Networks 2023   article  
Abstract: Stochastic chemical processes are described by the chemical master equation satisfying the law of mass-action. We first ask whether the dual master equation, which has the same steady state as the chemical master equation, but with inverted reaction currents, satisfies the law of mass-action, namely, still describes a chemical process. We prove that the answer depends on the topological property of the underlying chemical reaction network known as deficiency. The answer is yes only for deficiency-zero networks. It is no for all other networks, implying that their steady-state currents cannot be inverted by controlling the kinetic constants of the reactions. Hence, the network deficiency imposes a form of non-invertibility to the chemical dynamics. We then ask whether catalytic chemical networks are deficiency-zero. We prove that the answer is no when they are driven out of equilibrium due to the exchange of some species with the environment.
BibTeX:
@article{Srinivas2023vol,
  author = {Shesha Gopal Marehalli Srinivas and Matteo Polettini and Massimiliano Esposito and Francesco Avanzini},
  title = {Deficiency, Kinetic Invertibility, and Catalysis in Stochastic Chemical Reaction Networks},
  year = {2023}
}
Kuipers, F. Stochastic Mechanics and the Unification of Quantum Mechanics with Brownian Motion 2023   article  
Abstract: We unify Brownian motion and quantum mechanics in a single mathematical framework. In particular, we show that non-relativistic quantum mechanics of a single spinless particle on a flat space can be described by a Wiener process that is rotated in the complex plane. We then extend this theory to relativistic stochastic theories on manifolds using the framework of second order geometry. As a byproduct, our results suggest that a consistent path integral based formulation of a quantum theory on a Lorentzian (Riemannian) manifold requires an Ito deformation of the Poincare (Galilean) symmetry, arising due to the coupling of the quadratic variation to the affine connection.
BibTeX:
@article{Kuipers2023vol,
  author = {Folkert Kuipers},
  title = {Stochastic Mechanics and the Unification of Quantum Mechanics with Brownian Motion},
  year = {2023}
}
Yoshimura, K., Kolchinsky, A., Dechant, A. and Ito, S. Housekeeping and excess entropy production for general nonlinear dynamics 2023 Physical Review Research
Vol. 5(1), pp. 013017 
article DOI  
BibTeX:
@article{Yoshimura2023vol5,
  author = {Yoshimura, Kohei and Kolchinsky, Artemy and Dechant, Andreas and Ito, Sosuke},
  title = {Housekeeping and excess entropy production for general nonlinear dynamics},
  journal = {Physical Review Research},
  publisher = {American Physical Society (APS)},
  year = {2023},
  volume = {5},
  number = {1},
  pages = {013017},
  doi = {https://doi.org/10.1103/physrevresearch.5.013017}
}
Goupil, C. Contact entre conducteurs 2023   unpublished  
BibTeX:
@unpublished{Notes_Goupil,
  author = {Christophe Goupil},
  title = {Contact entre conducteurs},
  year = {2023}
}
Harunari, P.E., Dutta, A., Polettini, M. and Roldán, É. What to Learn from a Few Visible Transitions' Statistics? 2022 Phys. Rev. X
Vol. 12, pp. 041026 
article DOI URL 
BibTeX:
@article{Harunari2022vol12,
  author = {Harunari, Pedro E. and Dutta, Annwesha and Polettini, Matteo and Roldán, Édgar},
  title = {What to Learn from a Few Visible Transitions' Statistics?},
  journal = {Phys. Rev. X},
  publisher = {American Physical Society},
  year = {2022},
  volume = {12},
  pages = {041026},
  url = {https://link.aps.org/doi/10.1103/PhysRevX.12.041026},
  doi = {https://doi.org/10.1103/PhysRevX.12.041026}
}
Balog, I., Rançon, A. and Delamotte, B. Critical Probability Distributions of the Order Parameter from the Functional Renormalization Group 2022 Physical Review Letters
Vol. 129(21), pp. 210602 
article DOI  
BibTeX:
@article{Balog2022vol129,
  author = {Balog, I. and Rançon, A. and Delamotte, B.},
  title = {Critical Probability Distributions of the Order Parameter from the Functional Renormalization Group},
  journal = {Physical Review Letters},
  publisher = {American Physical Society (APS)},
  year = {2022},
  volume = {129},
  number = {21},
  pages = {210602},
  doi = {https://doi.org/10.1103/physrevlett.129.210602}
}
de Pirey, T.A., Cugliandolo, L.F., Lecomte, V. and van Wijland, F. Discretized and covariant path integrals for stochastic processes 2022   article  
Abstract: Path integrals are a ubiquitous tool in theoretical physics. However, their use is sometimes hindered by the lack of control on various manipulations - such as performing a change of the integration path - one would like to carry out in the light-hearted fashion that physicists enjoy. Similar issues arise in the field of stochastic calculus, which we review to prepare the ground for a proper construction of path integrals. At the level of path integration, and in arbitrary space dimension, we not only report on existing Riemannian geometry-based approaches that render path integrals amenable to the standard rules of calculus, but also bring forth new routes, based on a fully time-discretized approach, that achieve the same goal. We illustrate these various definitions of path integration on simple examples such as the diffusion of a particle on a sphere.
BibTeX:
@article{Pirey2022vol,
  author = {Thibaut Arnoulx de Pirey and Leticia F. Cugliandolo and Vivien Lecomte and Frédéric van Wijland},
  title = {Discretized and covariant path integrals for stochastic processes},
  year = {2022}
}
Coghi, F. and Touchette, H. Adaptive power method for estimating large deviations in Markov chains 2022   article  
Abstract: We study the performance of a stochastic algorithm based on the power method that adaptively learns the large deviation functions characterizing the fluctuations of additive functionals of Markov processes, used in physics to model nonequilibrium systems. This algorithm was introduced in the context of risk-sensitive control of Markov chains and was recently adapted to diffusions evolving continuously in time. Here we provide an in-depth study of the convergence of this algorithm close to dynamical phase transitions, exploring the speed of convergence as a function of the learning rate and the effect of including transfer learning. We use as a test example the mean degree of a random walk on an Erdös-Rényi random graph, which shows a transition between high-degree trajectories of the random walk evolving in the bulk of the graph and low-degree trajectories evolving in dangling edges of the graph. The results show that the adaptive power method is efficient close to dynamical phase transitions, while having many advantages in terms of performance and complexity compared to other algorithms used to compute large deviation functions.
BibTeX:
@article{Coghi2022vol,
  author = {Francesco Coghi and Hugo Touchette},
  title = {Adaptive power method for estimating large deviations in Markov chains},
  year = {2022}
}
Huang, Q. and Zambrini, J.-C. Stochastic Geometric Mechanics in Nonequilibrium Thermodynamics: Schrödinger meets Onsager 2022   article  
Abstract: We are describing relations between Schrödinger's variational problem and Onsager's approach to nonequilibrium statistical mechanics. Although the second work on reciprocal relations and detailed balance has been published the same year (1931) as the first one, the impact of Schrödinger's idea has not yet been considered in the classical context of Onsager.
BibTeX:
@article{Huang2022vol,
  author = {Qiao Huang and Jean-Claude Zambrini},
  title = {Stochastic Geometric Mechanics in Nonequilibrium Thermodynamics: Schrödinger meets Onsager},
  year = {2022}
}
Wilson, J. Geometric Algebra for Special Relativity and Manifold Geometry 2022 School: Victoria University of Wellington  mastersthesis DOI URL 
BibTeX:
@mastersthesis{Wilson2022vol,
  author = {Wilson, Joseph},
  title = {Geometric Algebra for Special Relativity and Manifold Geometry},
  school = {Victoria University of Wellington},
  year = {2022},
  url = {https://openaccess.wgtn.ac.nz/articles/thesis/Geometric_Algebra_for_Special_Relativity_and_Manifold_Geometry/21185911},
  doi = {https://doi.org/10.26686/wgtn.21185911}
}
Strand, N.E., Vroylandt, H. and Gingrich, T.R. Computing time-periodic steady-state currents via the time evolution of tensor network states 2022 The Journal of Chemical Physics
Vol. 157(5), pp. 054104 
article DOI  
BibTeX:
@article{Strand2022vol157,
  author = {Nils E. Strand and Hadrien Vroylandt and Todd R. Gingrich},
  title = {Computing time-periodic steady-state currents via the time evolution of tensor network states},
  journal = {The Journal of Chemical Physics},
  publisher = {AIP Publishing},
  year = {2022},
  volume = {157},
  number = {5},
  pages = {054104},
  doi = {https://doi.org/10.1063/5.0099741}
}
Gaspard, P. The Statistical Mechanics of Irreversible Phenomena 2022   book DOI  
BibTeX:
@book{Gaspard2022vol,
  author = {Pierre Gaspard},
  title = {The Statistical Mechanics of Irreversible Phenomena},
  publisher = {Cambridge University Press},
  year = {2022},
  doi = {https://doi.org/10.1017/9781108563055}
}
Wachtel, A., Rao, R. and Esposito, M. Free-energy transduction in chemical reaction networks: From enzymes to metabolism 2022 The Journal of Chemical Physics
Vol. 157(2) 
article DOI  
Abstract: We provide a rigorous definition of free-energy transduction and its efficiency in arbitrary --linear or nonlinear -- open chemical reaction networks (CRNs) operating at a steady state. Our method is based on the knowledge of the stoichiometric matrix and the chemostatted species (i.e., the species maintained at a constant concentration by the environment) to identify the fundamental currents and forces contributing to the entropy production. Transduction occurs when the current of a stoichiometrically balanced process is driven against its spontaneous direction (set by its force), thanks to other processes flowing along their spontaneous direction. In these regimes, open CRNs operate as thermodynamic machines. After exemplifying these general ideas using toy models, we analyze central energy metabolism. We relate the fundamental currents to metabolic pathways and discuss the efficiency with which they can transduce free energy.
BibTeX:
@article{Wachtel2022vol157,
  author = {Wachtel, Artur and Rao, Riccardo and Esposito, Massimiliano},
  title = {Free-energy transduction in chemical reaction networks: From enzymes to metabolism},
  journal = {The Journal of Chemical Physics},
  publisher = {AIP Publishing},
  year = {2022},
  volume = {157},
  number = {2},
  doi = {https://doi.org/10.1063/5.0091035}
}
Kobayashi, T.J., Loutchko, D., Kamimura, A. and Sughiyama, Y. Geometry of Nonequilibrium Chemical Reaction Networks and Generalized Entropy Production Decompositions 2022   article  
Abstract: We derive the Hessian geometric structure of nonequilibrium chemical reaction networks (CRN) on the flux and force spaces induced by the Legendre duality of convex dissipation functions and characterize their dynamics as a generalized flow. With this structure, we can extend theories of nonequilibrium systems with quadratic dissipation functions to more general ones with nonquadratic ones, which are pivotal for studying chemical reaction networks. By applying generalized notions of orthogonality in Hessian geometry to chemical reaction networks, we obtain two generalized decompositions of the entropy production rate, each of which captures gradient-flow and minimum-dissipation aspects in nonequilibrium dynamics.
BibTeX:
@article{Kobayashi2022vol,
  author = {Tetsuya J. Kobayashi and Dimitri Loutchko and Atsushi Kamimura and Yuki Sughiyama},
  title = {Geometry of Nonequilibrium Chemical Reaction Networks and Generalized Entropy Production Decompositions},
  year = {2022}
}
Strand, N.E., Vroylandt, H. and Gingrich, T.R. Using tensor network states for multi-particle Brownian ratchets 2022 The Journal of Chemical Physics
Vol. 156(22), pp. 221103 
article DOI URL 
Abstract: The study of Brownian ratchets has taught how time-periodic driving supports a time-periodic steady state that generates nonequilibrium transport. When a single particle is transported in one dimension, it is possible to rationalize the current in terms of the potential, but experimental efforts have ventured beyond that single-body case to systems with many interacting carriers. Working with a lattice model of volume-excluding particles in one dimension, we analyze the impact of interactions on a flashing ratchet's current. To surmount the many-body problem, we employ the time-dependent variational principle applied to binary tree tensor networks. Rather than propagating individual trajectories, the tensor network approach propagates a distribution over many-body configurations via a controllable variational approximation. The calculations, which reproduce Gillespie trajectory sampling, identify and explain a shift in the frequency of maximum current to higher driving frequency as the lattice occupancy increases.
BibTeX:
@article{Strand2022vol156,
  author = {Strand, Nils E. and Vroylandt, Hadrien and Gingrich, Todd R.},
  title = {Using tensor network states for multi-particle Brownian ratchets},
  journal = {The Journal of Chemical Physics},
  publisher = {American Institute of Physics},
  year = {2022},
  volume = {156},
  number = {22},
  pages = {221103},
  url = {https://aip-scitation-org.ezproxy.universite-paris-saclay.fr/doi/10.1063/5.0097332},
  doi = {https://doi.org/10.1063/5.0097332}
}
Forastiere, D., Rao, R. and Esposito, M. Linear Stochastic Thermodynamics 2022   article  
Abstract: We study the thermodynamics of open systems weakly driven out-of-equilibrium by nonconservative and time-dependent forces using the linear regime of stochastic thermodynamics. We make use of conservation laws to identify the potential and nonconservative components of the forces. This allows us to formulate a unified near-equilibrium thermodynamics. For nonequilibrium steady states, we obtain an Onsager theory ensuring nonsingular response matrices that is consistent with phenomenological linear irreversible thermodynamics. For time-dependent driving protocols that do not produce nonconservative forces, we identify the equilibrium ensemble from which Green-Kubo relations are recovered. For arbitrary periodic drivings, the averaged entropy production (EP) is expressed as an independent sum over each driving frequency of non-negative contributions. These contributions are bilinear in the nonconservative and conservative forces and involve a novel generalized Onsager matrix that is symmetric. In the most general case of arbitrary time-dependent drivings, we advance a novel decomposition of the EP rate into two non-negative contributions - one solely due to nonconservative forces and the other solely due to deviation from the instantaneous steady-state - directly implying a minimum entropy production principle close to equilibrium. This setting reveals the geometric structure of near-equilibrium thermodynamics and generalizes previous approaches to cases with nonconservative forces.
BibTeX:
@article{Forastiere2022vol,
  author = {Danilo Forastiere and Riccardo Rao and Massimiliano Esposito},
  title = {Linear Stochastic Thermodynamics},
  year = {2022}
}
Gopal, A., Esposito, M. and Freitas, N. Large deviations theory for noisy non-linear electronics: CMOS inverter as a case study 2022   article  
Abstract: The latest generation of transistors are nanoscale devices whose performance and reliability are limited by thermal noise in low-power applications. Therefore developing efficient methods to compute the voltage and current fluctuations in such non-linear electronic circuits is essential. Traditional approaches commonly rely on adding Gaussian white noise to the macroscopic dynamical circuit laws, but do not capture rare fluctuations and lead to thermodynamic inconsistencies. A correct and thermodynamically consistent approach can be achieved by describing single-electron transfers as Poisson jump processes accounting for charging effects. But such descriptions can be computationally demanding. To address this issue, we consider the macroscopic limit which corresponds to scaling up the physical dimensions of the transistor and resulting in an increase of the number of electrons on the conductors. In this limit, the thermal fluctuations satisfy a Large Deviations Principle which we show is also remarkably precise in settings involving only a few tens of electrons, by comparing our results with Gillespie simulations and spectral methods. Traditional approaches are recovered by resorting to an ad hoc diffusive approximation introducing inconsistencies. To illustrate these findings, we consider a low-power CMOS inverter, or NOT gate, which is a basic primitive in electronic design. Voltage (resp. current) fluctuations are obtained analytically (semi-analytically) and reveal interesting features.
BibTeX:
@article{Gopal2022vol,
  author = {Ashwin Gopal and Massimiliano Esposito and Nahuel Freitas},
  title = {Large deviations theory for noisy non-linear electronics: CMOS inverter as a case study},
  year = {2022}
}
Miserez, F., Ganguly, S., Haussmann, R. and Fuchs, M. Continuum mechanics for the elastic properties of crystals: Microscopic approach based on projection-operator formalism 2022   article  
Abstract: We present a microscopic derivation of the laws of continuum mechanics of nonideal ordered solids including dissipation, defect diffusion, and heat transport. Starting point is the classical many-body Hamiltonian. The approach relies on the Zwanzig-Mori projection operator formalism to connect microscopic fluctuations to thermodynamic derivatives and transport coefficients. Conservation laws and spontaneous symmetry breaking, implemented via Bogoliubov's inequality, determine the selection of the slow variables. Density fluctuations in reciprocal space encode the displacement field and the defect concentration. Isothermal and adiabatic elastic constants are obtained from equilibrium correlations, while transport coefficients are given as Green-Kubo formulae, providing the basis for their measurement in atomistic simulations or colloidal experiments. The approach and results are compared to others from the literature.
BibTeX:
@article{Miserez2022vol,
  author = {Florian Miserez and Saswati Ganguly and Rudolf Haussmann and Matthias Fuchs},
  title = {Continuum mechanics for the elastic properties of crystals: Microscopic approach based on projection-operator formalism},
  year = {2022}
}
Podio-Guidugli, P. and Virga, E.G. Analytical Thermodynamics 2022   article  
Abstract: This paper proposes a theory that bridges classical analytical mechanics and nonequilibrium thermodynamics. Its intent is to derive the evolution equations of a system from a stationarity principle for a suitably augmented Lagrangian action. This aim is attained for homogeneous systems, described by a finite number of state variables depending on time only. In particular, it is shown that away from equilibrium free energy and entropy are independent constitutive functions.
BibTeX:
@article{PodioGuidugli2022vol,
  author = {Paolo Podio-Guidugli and Epifanio G. Virga},
  title = {Analytical Thermodynamics},
  year = {2022}
}
Ramstead, M.J.D., Sakthivadivel, D.A.R., Heins, C., Koudahl, M., Millidge, B., Da Costa, L., Klein, B. and Friston, K.J. On Bayesian Mechanics: A Physics of and by Beliefs 2022 School: arXiv  techreport DOI URL 
Abstract: The aim of this paper is to introduce a field of study that has emerged over the last decade, called Bayesian mechanics. Bayesian mechanics is a probabilistic mechanics, comprising tools that enable us to model systems endowed with a particular partition (i.e., into particles), where the internal states (or the trajectories of internal states) of a particular system encode the parameters of beliefs about quantities that characterise the system. These tools allow us to write down mechanical theories for systems that look as if they are estimating posterior probability distributions over the causes of their sensory states, providing a formal language to model the constraints, forces, fields, and potentials that determine how the internal states of such systems move in a space of beliefs (i.e., on a statistical manifold). Here we will review the state of the art in the literature on the free energy principle, distinguishing between three ways in which Bayesian mechanics has been applied to particular systems (i.e., path-tracking, mode-tracking, and mode-matching). We will go on to examine the duality of the free energy principle and the constrained maximum entropy principle, both of which lie at the heart of Bayesian mechanics. We also discuss the implications of this duality for Bayesian mechanics and limitations of current treatments.
BibTeX:
@techreport{Ramstead2022vola,
  author = {Ramstead, Maxwell J. D. and Sakthivadivel, Dalton A. R. and Heins, Conor and Koudahl, Magnus and Millidge, Beren and Da Costa, Lancelot and Klein, Brennan and Friston, Karl J.},
  title = {On Bayesian Mechanics: A Physics of and by Beliefs},
  school = {arXiv},
  year = {2022},
  note = {arXiv:2205.11543 [cond-mat, physics:nlin, physics:physics] type: article},
  url = {http://arxiv.org/abs/2205.11543},
  doi = {https://doi.org/10.48550/arXiv.2205.11543}
}
Sasa, S.-i., Hiura, K., Nakagawa, N. and Yoshida, A. Quasi-static decomposition and the Gibbs factorial in small thermodynamic system 2022   article  
Abstract: For small thermodynamic systems in contact with a heat bath, we determine the free energy by imposing the following two conditions. First, the quasi-static work in any configuration change is equal to the free energy difference. Second, the temperature dependence of the free energy satisfies the Gibbs-Helmholtz relation. We find that these prerequisites uniquely lead to the free energy of a classical system consisting of N-interacting identical particles, up to an additive constant proportional to N. The free energy thus determined contains the Gibbs factorial N! in addition to the phase space integration of the Gibbs-Boltzmann factor. The key step in the derivation is to construct a quasi-static decomposition of small thermodynamic systems.
BibTeX:
@article{Sasa2022vol,
  author = {Shin-ichi Sasa and Ken Hiura and Naoko Nakagawa and Akira Yoshida},
  title = {Quasi-static decomposition and the Gibbs factorial in small thermodynamic system},
  year = {2022}
}
Penocchio, E., Avanzini, F. and Esposito, M. Information Thermodynamics for Deterministic Chemical Reaction Networks 2022   article  
Abstract: Information thermodynamics relates the rate of change of mutual information between two interacting subsystems to their thermodynamics when the joined system is described by a bipartite stochastic dynamics satisfying local detailed balance. Here, we expand the scope of information thermodynamics to deterministic bipartite chemical reaction networks, namely, composed of two coupled subnetworks sharing species, but not reactions. We do so by introducing a meaningful notion of mutual information defined for non-normalized concentration distributions. This allows us to formulate separate second laws for each subnetwork, which account for their energy and information exchanges, in complete analogy with stochastic systems. We then use our framework to investigate the working mechanisms of a model of chemically-driven self-assembly and an experimental light-driven bimolecular motor. We show that both systems are constituted by two coupled subnetworks of chemical reactions. One subnetwork is maintained out of equilibrium by external reservoirs (chemostats or light sources) and powers the other via energy and information flows. In doing so, we clarify that the information flow is precisely the thermodynamic counterpart of an information ratchet mechanism only when no energy flow is involved.
BibTeX:
@article{Penocchio2022vol,
  author = {Emanuele Penocchio and Francesco Avanzini and Massimiliano Esposito},
  title = {Information Thermodynamics for Deterministic Chemical Reaction Networks},
  year = {2022}
}
Sakthivadivel, D.A.R. Towards a Geometry and Analysis for Bayesian Mechanics 2022   article  
Abstract: In this paper, a simple case of Bayesian mechanics under the free energy principle is formulated in axiomatic terms. We argue that any dynamical system with constraints on its dynamics necessarily looks as though it is performing inference against these constraints, and that in a non-isolated system, such constraints imply external environmental variables embedding the system. Using aspects of classical dynamical systems theory in statistical mechanics, we show that this inference is equivalent to a gradient ascent on the Shannon entropy functional, recovering an approximate Bayesian inference under a locally ergodic probability measure on the state space. We also use some geometric notions from dynamical systems theoryx2014namely, that the constraints constitute a gauge degree of freedomx2014to elaborate on how the desire to stay self-organised can be read as a gauge force acting on the system. In doing so, a number of results of independent interest are given. Overall, we provide a related, but alternative, formalism to those driven purely by descriptions of random dynamical systems, and take a further step towards a comprehensive statement of the physics of self-organisation in formal mathematical language.
BibTeX:
@article{Sakthivadivel2022vol,
  author = {Dalton A R Sakthivadivel},
  title = {Towards a Geometry and Analysis for Bayesian Mechanics},
  year = {2022}
}
Fu, R.-S. and Gingrich, T.R. Thermodynamic uncertainty relation for Langevin dynamics by scaling time 2022   article  
Abstract: The thermodynamic uncertainty relation (TUR) quantifies a relationship between current fluctuations and dissipation in out-of-equilibrium overdamped Langevin dynamics, making it a natural counterpart of the fluctuation-dissipation theorem in equilibrium statistical mechanics. For underdamped Langevin dynamics, the situation is known to be more complicated, with dynamical activity also playing a role in limiting the magnitude of current fluctuations. Progress on those underdamped TUR-like bounds have thus far come from applications of the information-theoretic Cramér-Rao inequality. Here, we present an alternative perspective by employing the contraction principle of large deviation theory. The approach offers a general, unified treatment of TUR-like bounds for both overdamped and underdamped Langevin dynamics built upon current fluctuations achieved by scaling time. The resulting bounds are similar to known results but with differences we discuss and rationalize.
BibTeX:
@article{Fu2022vol,
  author = {Rueih-Sheng Fu and Todd R. Gingrich},
  title = {Thermodynamic uncertainty relation for Langevin dynamics by scaling time},
  year = {2022}
}
Hermann, S. and Schmidt, M. Variance of fluctuations from Noether invariance 2022   article  
Abstract: The strength of fluctuations, as measured by their variance, is paramount in the quantitative description of a large class of physical systems, ranging from simple and complex liquids to active fluids and solids. Fluctuations originate from the irregular motion of thermal degrees of freedom and statistical mechanics facilitates their description. Here we demonstrate that fluctuations are constrained by the inherent symmetries of the given system. For particle-based classical many-body systems, Noether invariance at second order in the symmetry parameter leads to exact sum rules. These identities interrelate the global force variance with the mean potential curvature. Noether invariance is restored by an exact balance between these distinct mechanisms. The sum rules provide an important guide for assessing and constructing theories, for ensuring self-consistency in simulation work, and for providing a systematic pathway to the theoretical quantification of fluctuations.
BibTeX:
@article{Hermann2022vol,
  author = {Sophie Hermann and Matthias Schmidt},
  title = {Variance of fluctuations from Noether invariance},
  year = {2022}
}
Morales, P.A., Korbel, J. and Rosas, F.E. Ode to Legendre: Geometric and thermodynamic implications on curved statistical manifolds 2022   article  
Abstract: The recent link discovered between generalized Legendre transforms and curved (i.e. non-Euclidean) statistical manifolds suggests a fundamental reason behind the ubiquity of Rényi's divergence and entropy in a wide range of physical phenomena. However, these early findings still provide little intuition on the nature of this relationship and its implications for physical systems. Here we shed new light on the Legendre transform by revealing the consequences of its deformation via symplectic geometry, complexification, and stochastic thermodynamics. These findings reveal a novel common framework that leads to a principled and unified understanding of physical systems that are not well-described by classic information-theoretic quantities.
BibTeX:
@article{Morales2022vol,
  author = {Pablo A. Morales and Jan Korbel and Fernando E. Rosas},
  title = {Ode to Legendre: Geometric and thermodynamic implications on curved statistical manifolds},
  year = {2022}
}
Causer, L., Garrahan, J.P. and Lamacraft, A. Slow dynamics and large deviations in classical stochastic Fredkin chains 2022   article  
Abstract: The Fredkin spin chain serves as an interesting theoretical example of a quantum Hamiltonian whose ground state exhibits a phase transition between three distinct phases, one of which violates the area law. Here we consider a classical stochastic version of the Fredkin model, which can be thought of as a simple exclusion process subject to additional kinetic constraints, and study its classical stochastic dynamics. The ground state phase transition of the quantum chain implies an equilibrium phase transition in the stochastic problem, whose properties we quantify in terms of numerical matrix product states (MPS). The stochastic model displays slow dynamics, including power law decaying autocorrelation functions and hierarchical relaxation processes due to exponential localization. Like in other kinetically constrained models, the Fredkin chain has a rich structure in its dynamical large deviations - which we compute accurately via numerical MPS - including an active-inactive phase transition, and a hierarchy of trajectory phases connected to particular equilibrium states of the model. We also propose, via its height field representation, a generalization of the Fredkin model to two dimensions in terms of constrained dimer coverings of the honeycomb lattice.
BibTeX:
@article{Causer2022vol,
  author = {Luke Causer and Juan P. Garrahan and Austen Lamacraft},
  title = {Slow dynamics and large deviations in classical stochastic Fredkin chains},
  year = {2022}
}
Chabane, L., Lazarescu, A. and Verley, G. Effective Hamiltonians and Lagrangians for Conditioned Markov Processes at Large Volume 2022 J. Stat. Phys.
Vol. 187(1) 
article DOI URL 
Abstract: When analysing statistical systems or stochastic processes, it is often interesting to ask how they behave given that some observable takes some prescribed value. This conditioning problem is well understood within the linear operator formalism based on rate matrices or Fokker-Planck operators, which describes the dynamics of many independent random walkers. Relying on certain spectral properties of the biased linear operators, guaranteed by the Perron-Frobenius theorem, an effective process can be found such that its path probability is equivalent to the conditional path probability. In this paper, we extend those results for nonlinear Markov processes that appear when the many random walkers are no longer independent, and which can be described naturally through a Lagrangian-Hamiltonian formalism within the theory of large deviations at large volume. We identify the appropriate spectral problem as being a Hamilton-Jacobi equation for a biased Hamiltonian, for which we conjecture that two special global solutions exist, replacing the Perron-Frobenius theorem concerning the positivity of the (left and right) dominant eigenvector. We then devise a rectification procedure based on a canonical gauge transformation of the biased Hamiltonian, yielding an effective dynamics in agreement with the original conditioning. Along the way, we present simple examples in support of our conjecture, we examine its consequences on important physical objects such as the fluctuation symmetries of the biased and rectified processes as well as the dual dynamics obtained through time-reversal. We apply all those results to simple independent and interacting models, including a stochastic chemical reaction network and a population process called the Brownian Donkey.
BibTeX:
@article{Chabane_2022,
  author = {Lydia Chabane and Alexandre Lazarescu and Gatien Verley},
  title = {Effective Hamiltonians and Lagrangians for Conditioned Markov Processes at Large Volume},
  journal = {J. Stat. Phys.},
  publisher = {Springer Science and Business Media LLC},
  year = {2022},
  volume = {187},
  number = {1},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Chabane_2022.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Chabane_2022.pdf},
  doi = {https://doi.org/10.1007/s10955-022-02898-3}
}
Decelle, A. Fundamental problems in statistical physics XIV: Lecture on Machine Learning 2022   article  
Abstract: The recent progresses in Machine Learning opened the door to actual applications of learning algorithms but also, to new research directions both in the field of Machine Learning directly and at the edges with other disciplines. The case that interests us is the interface with physics, and more specifically statistical physics. In this short lecture, I will try to present first a brief introduction to Machine Learning from the angle of neural networks. After explaining quickly the based model and the global aspects of the training procedure, I will discuss into more detail two examples to show some interesting developments that can be done from the statistical physics perspective.
BibTeX:
@article{Decelle2022vol,
  author = {Aurélien Decelle},
  title = {Fundamental problems in statistical physics XIV: Lecture on Machine Learning},
  year = {2022}
}
Haussmann, R. Microscopic density-functional approach to nonlinear elasticity theory 2022   article  
Abstract: Starting from a general classical model of many interacting particles we present a well defined step by step procedure to derive the continuum-mechanics equations of nonlinear elasticity theory with fluctuations which describe the macroscopic phenomena of a solid crystal. As the relevant variables we specify the coarse-grained densities of the conserved quantities and a properly defined displacement field which describes the local translations, rotations, and deformations. In order to stay within the framework of the conventional density-functional theory we first and mainly consider the isothermal case and omit the effects of heat transport and entropy production where later we extend our theory to the general case and include these effects. We proceed in two steps. First, we apply the concept of local thermodynamic equilibrium and minimize the free energy functional under the constraints that the macroscopic relevant variables are fixed. As results we obtain the local free energy density and we derive explicit formulas for the elastic constants which are exact within the framework of density-functional theory. Second, we apply the methods of nonequilibrium statistical mechanics with projection-operator techniques. We extend the projection operators in order to include the effects of coarse-graining and the displacement field. As a result we obtain the time-evolution equations for the relevant variables with three kinds of terms on the right-hand sides: reversible, dissipative, and fluctuating terms. We find explicit formulas for the transport coefficients which are exact in the limit of continuum mechanics if the projection operators are properly defined. By construction the theory allows the diffusion of particles in terms of point defects where, however, in a normal crystal this diffusion is suppressed.
BibTeX:
@article{Haussmann2022vol,
  author = {Rudolf Haussmann},
  title = {Microscopic density-functional approach to nonlinear elasticity theory},
  year = {2022}
}
López, Á.G., Benito, F., Sabuco, J. and Delgado-Bonal, A. The thermodynamic efficiency of the Lorenz system 2022   article  
Abstract: We study the thermodynamic efficiency of the Malkus-Lorenz waterwheel. For this purpose, we derive an exact analytical formula that describes the efficiency of this dissipative structure as a function of the phase space variables and the constant parameters of the dynamical system. We show that, generally, as the machine is progressively driven far from thermodynamic equilibrium by increasing its uptake of matter from the environment, it also tends to increase its efficiency. However, sudden drops in the efficiency are found at critical bifurcation points leading to chaotic dynamics. We relate these discontinuous crises in the efficiency to a reduction of the attractor's average value projected along the phase space dimensions that contribute to the rate of entropy generation in the system. In this manner, we provide a thermodynamic criterion that, presumably, governs the evolution of far-from-equilibrium dissipative systems towards their self-assembly and synchronization into increasingly complex networks and structures.
BibTeX:
@article{Lopez2022vol,
  author = {Álvaro G. López and Fernando Benito and Juan Sabuco and Alfonso Delgado-Bonal},
  title = {The thermodynamic efficiency of the Lorenz system},
  year = {2022}
}
Mallick, K., Moriya, H. and Sasamoto, T. Exact solution of the macroscopic fluctuation theory for the symmetric exclusion process 2022   article  
Abstract: We present the first exact solution for the time dependent equations of the macroscopic fluctuation theory (MFT) for the symmetric simple exclusion process by combining a generalization of the canonical Cole-Hopf transformation with the inverse scattering method. For the step initial condition with two densities, the associated Riemann-Hilbert problem is solved to determine exactly the optimal density profile and the response field which produce a required fluctuation, both at initial and final times. The large deviation function of the current is derived and coincides with the formula obtained previously by microscopic calculations. This provides the first analytic confirmation of the validity of the MFT for an interacting model in the time dependent regime.
BibTeX:
@article{Mallick2022vol,
  author = {Kirone Mallick and Hiroki Moriya and Tomohiro Sasamoto},
  title = {Exact solution of the macroscopic fluctuation theory for the symmetric exclusion process},
  year = {2022}
}
Nickelsen, D. and Touchette, H. Noise correction of large deviations with anomalous scaling 2022   article  
Abstract: We present a path integral calculation of the probability distribution associated with the time-integrated moments of the Ornstein-Uhlenbeck process that includes the Gaussian prefactor in addition to the dominant path or instanton term obtained in the low-noise limit. The instanton term was obtained recently [D. Nickelsen, H. Touchette, Phys. Rev. Lett. 121, 090602 (2018)] and shows that the large deviations of the time-integrated moments are anomalous in the sense that the logarithm of their distribution scales nonlinearly with the integration time. The Gaussian prefactor gives a correction to the low-noise approximation and leads us to define an instanton variance giving some insights as to how anomalous large deviations are created in time. The results are compared with simulations based on importance sampling, extending our previous results based on direct Monte Carlo simulations. We conclude by explaining why many of the standard analytical and numerical methods of large deviation theory fail in the case of anomalous large deviations.
BibTeX:
@article{Nickelsen2022vol,
  author = {Daniel Nickelsen and Hugo Touchette},
  title = {Noise correction of large deviations with anomalous scaling},
  year = {2022}
}
Zakine, R. and Vanden-Eijnden, E. Minimum Action Method for Nonequilibrium Phase Transitions 2022   article  
Abstract: First-order nonequilibrium phase transitions are challenging to analyze because they occur via activated processes through transition states that are not saddle points on a free energy landscape -- rather, no such landscape exists when the system's dynamics is not in detailed-balance. In some situations the path of these processes can be characterized as the minimizer of an action, whose minimum value can be used in a nonequilibrium generalization of the Arrhenius law. Here, a wide range of systems of this type is analyzed and efficient numerical tools for the minimization of their action are developed. These tools are general enough to be transportable to many situations of interest. Their applicability is illustrated on the study of first-order phase transitions in two spatially-extended nonequilibrium systems: a modified Ginzburg-Landau equation with a chemical potential which is non-gradient, and a reaction-diffusion network based on the Schlögl model. The phase diagrams of both systems are calculated as a function of their control parameters, and the paths of the transition, including their critical nuclei, are identified. These results clearly demonstrate the nonequilbrium nature of the transitions, with differing forward and backward paths.
BibTeX:
@article{Zakine2022vol,
  author = {Ruben Zakine and Eric Vanden-Eijnden},
  title = {Minimum Action Method for Nonequilibrium Phase Transitions},
  year = {2022}
}
Carugno, G., Vivo, P. and Coghi, F. Graph-combinatorial approach for large deviations of Markov chains 2022   article  
Abstract: We consider discrete-time Markov chains and study large deviations of the pair empirical occupation measure, which is useful to compute fluctuations of pure-additive and jump-type observables. We provide an exact expression for the finite-time moment generating function and scaled cumulant generating function of the pair empirical occupation measure via a graph-combinatorial approach. The expression obtained allows us to give a physical interpretation of interaction and entropic terms, and of the Lagrange multipliers, and may serve as a starting point for sub-leading asymptotics.
BibTeX:
@article{Carugno2022vol,
  author = {Giorgio Carugno and Pierpaolo Vivo and Francesco Coghi},
  title = {Graph-combinatorial approach for large deviations of Markov chains},
  year = {2022}
}
Könye, V. and Cserti, J. General formalism for calculating the thermal efficiency of thermodynamic cycles defined in a p-V diagram 2022   article  
Abstract: We develop a general method for calculating the thermal efficiency of arbitrary thermodynamic cycles defined in the pressure-volume (p-V) diagram. To demonstrate how effective our approach is, we calculate the thermal efficiency of ideal gas engines for a few non-trivial cycles in the p-V diagram, including a circular shape, a heart shape, a cycloid of Ceva, and a star-shaped curve. We determine the segments along the cycle where heat is absorbed or released from the heat engine. Our method can be applied to any gas model, and, as an example, we present the results for the van der Waals gas.
BibTeX:
@article{Koenye2022vol,
  author = {Viktor Könye and József Cserti},
  title = {General formalism for calculating the thermal efficiency of thermodynamic cycles defined in a p-V diagram},
  year = {2022}
}
Monthus, C. Markov trajectories : Microcanonical Ensembles based on empirical observables as compared to Canonical Ensembles based on Markov generators 2022   article  
Abstract: The Ensemble of trajectories x(0 ≤ t ≤ T) produced by the Markov generator M can be considered as 'Canonical' for the following reasons : (C1) the probability of the trajectory x(0 ≤ t ≤ T) can be rewritten as the exponential of a linear combination of its relevant empirical time-averaged observables E_n, where the coefficients involving the Markov generator are their fixed conjugate parameters; (C2) the large deviations properties of these empirical observables E_n for large T are governed by the explicit rate function I^[2.5]_M (E_.) at Level 2.5, while in the thermodynamic limit T=+∞, they concentrate on their typical values E_n^typ[M] determined by the Markov generator M. This concentration property in the thermodynamic limit T=+∞ suggests to introduce the notion of the 'Microcanonical Ensemble' at Level 2.5 for stochastic trajectories x(0 ≤ t ≤ T), where all the relevant empirical variables E_n are fixed to some values E^*_n and cannot fluctuate anymore for finite T. The goal of the present paper is to discuss its main properties : (MC1) when the long trajectory x(0 ≤ t ≤ T) belongs the Microcanonical Ensemble with the fixed empirical observables E_n^*, the statistics of its subtrajectory x(0 ≤ t ≤ ) for 1 ≪ τ ≪ T is governed by the Canonical Ensemble associated to the Markov generator M^* that would make the empirical observables E_n^* typical ; (MC2) in the Microcanonical Ensemble, the central role is played by the number [2.5]_T(E^*_.) of stochastic trajectories of duration T with the given empirical observables E^*_n, and by the corresponding explicit Boltzmann entropy S^[2.5]( E^*_. ) = [ln [2.5]_T(E^*_.)]/T . This general framework is applied to continuous-time Markov Jump processes and to discrete-time Markov chains with illustrative examples.
BibTeX:
@article{Monthus2022vol,
  author = {Cecile Monthus},
  title = {Markov trajectories : Microcanonical Ensembles based on empirical observables as compared to Canonical Ensembles based on Markov generators},
  year = {2022}
}
Cristofoli, A., Gonzo, R., Kosower, D.A. and O'Connell, D. Waveforms from amplitudes 2022 Phys. Rev. D
Vol. 106(5), pp. 056007 
article DOI  
BibTeX:
@article{Cristofoli2022vol106,
  author = {Cristofoli, Andrea and Gonzo, Riccardo and Kosower, David A. and O'Connell, Donal},
  title = {Waveforms from amplitudes},
  journal = {Phys. Rev. D},
  year = {2022},
  volume = {106},
  number = {5},
  pages = {056007},
  doi = {https://doi.org/10.1103/PhysRevD.106.056007}
}
Jérémy Neveu Moteurs et transformateurs électriques 2022   unpublished URL 
BibTeX:
@unpublished{NotesJeremyNeveu2022,
  author = {Jérémy Neveu},
  title = {Moteurs et transformateurs électriques},
  year = {2022},
  url = {https://gitlab.in2p3.fr/jeremy.neveu/Moteurs.git}
}
Jérémy O'Byrne Irréversibilité et matière active : des modèles microscopiques aux théories deschamps 2022 School: Université de Paris  phdthesis  
BibTeX:
@phdthesis{JeremyOByrne2022vol,
  author = {Jérémy O'Byrne},
  title = {Irréversibilité et matière active : des modèles microscopiques aux théories deschamps},
  school = {Université de Paris},
  year = {2022}
}
The Shift Project Climat, crises : Le plan de transformation de l'économie fran,caise 2022   book  
BibTeX:
@book{ShiftProject2022vol,
  author = {The Shift Project},
  title = {Climat, crises : Le plan de transformation de l'économie fran,caise},
  publisher = {Odile Jacob},
  year = {2022}
}
Rosa, A.V.D. Fundamentals of renewable energy processes 2022   book  
BibTeX:
@book{Rosa2022vol,
  author = {Rosa, Aldo Vieira Da},
  title = {Fundamentals of renewable energy processes},
  publisher = {Academic Press},
  year = {2022},
  edition = {Fourth edition},
  note = {Includes index}
}
Verley, G. Dynamical equivalence classes for Markov jump processes 2022 J. Stat. Mech: Theory Exp.
Vol. 2022(2), pp. 023211 
article DOI URL 
Abstract: Two different Markov jump processes driven out of equilibrium by constant thermodynamic forces may have identical current fluctuations in the stationary state. The concept of dynamical equivalence classes emerges from this statement as proposed by Andrieux for discrete-time Markov chains on simple graphs. We define dynamical equivalence classes in the context of continuous-time Markov chains on multigraphs using the symmetric part of the rate matrices that define the dynamics. The freedom on the skew-symmetric part is at the core of the freedom inside a dynamical equivalence class. It arises from different splittings of the thermodynamic forces onto the system's transitions.
BibTeX:
@article{Verley2022vol2022,
  author = {Gatien Verley},
  title = {Dynamical equivalence classes for Markov jump processes},
  journal = {J. Stat. Mech: Theory Exp.},
  publisher = {IOP Publishing},
  year = {2022},
  volume = {2022},
  number = {2},
  pages = {023211},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2022vol2022.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2022vol2022.pdf},
  doi = {https://doi.org/10.1088/1742-5468/ac4981}
}
Wang, L., Zhou, X., Wang, D., Huang, S. and Guo, Y. An SU(3) Electroweak Unified Model Using Generalized Yang-Mills Theory 2022 Journal of Modern Physics
Vol. 13(11), pp. 1403-1410 
article DOI  
BibTeX:
@article{Wang2022vol13,
  author = {Wang, Lu and Zhou, Xinyu and Wang, Dianfu and Huang, Sizhao and Guo, Yanqing},
  title = {An SU(3) Electroweak Unified Model Using Generalized Yang-Mills Theory},
  journal = {Journal of Modern Physics},
  publisher = {Scientific Research Publishing, Inc.},
  year = {2022},
  volume = {13},
  number = {11},
  pages = {1403--1410},
  doi = {https://doi.org/10.4236/jmp.2022.1311087}
}
Gaite, J. Renormalization group and effective potential: a simple non-perturbative approach 2021   article  
Abstract: We develop a simple non-perturbative approach to the calculation of a field theory effective potential that is based on the Wilson or exact renormalization group. Our approach follows Shepard et al's idea [Phys. Rev. D51, 7017 (1995)] of converting the exact renormalization group into a self-consistent renormalization method. It boils down to a simple second order differential equation for the effective potential. The equation can be solved and its solution is compared to the the results of Shepard et al and to results of perturbation theory. In three dimensions, we show that we are led to study the full sextic field theory (λ4+g6), even for the renormalization group fixed point that corresponds to ordinary critical behavior. We work out the full two-loop order perturbation theory for the sextic field theory in three dimensions and find the non-perturbative approach to be superior.
BibTeX:
@article{Gaite2021vol,
  author = {Jose Gaite},
  title = {Renormalization group and effective potential: a simple non-perturbative approach},
  year = {2021}
}
Heimburg, T. Damped physical oscillators, temperature and chemical clocks 2021   article  
Abstract: The metaphor of a clock in physics describes near-equilibrium reversible phenomena such as an oscillating spring. It is surprising that for chemical and biological clocks the focus has been exclusively on the far-from-equilibrium dissipative processes. We show here that one can represent chemical oscillations (the Lotka-Volterra system and the Brusselator) by equations analogous to Onsager's phenomenological equations when the condition of the reciprocal relations, i.e. the symmetry in the coupling of thermodynamic forces to fluxes is relaxed and antisymmetric contributions are permitted. We compare these oscillations to damped oscillators in physics (e.g., springs, coupled springs and electrical circuits) which are represented by similar equations. Onsager's equations and harmonic Hamiltonian systems are shown to be limiting cases of a more general formalism. The central element of un-damped physical oscillations is the conservation of entropy which unavoidably results in reversible temperature oscillations. Such temperature oscillations exist in springs and electrical LC-circuits, but have among others also been found in the oscillating Belousov-Zhabotinsky reaction, in oscillations of yeast cells, and during the nervous impulse. This suggests that such oscillations contain reversible entropy-conserving elements, and that physical and chemical clocks may be more similar than expected.
BibTeX:
@article{Heimburg2021vol,
  author = {Thomas Heimburg},
  title = {Damped physical oscillators, temperature and chemical clocks},
  year = {2021}
}
Chabane, L. From rarity to typicality : the improbable journey of a large deviation 2021 (2021UPASP118)School: Université Paris-Saclay  phdthesis URL 
BibTeX:
@phdthesis{Phdthesis_Chabane2021vol,
  author = {Chabane, Lydia},
  title = {From rarity to typicality : the improbable journey of a large deviation},
  school = {Université Paris-Saclay},
  year = {2021},
  number = {2021UPASP118},
  url = {https://tel.archives-ouvertes.fr/tel-03494870}
}
Meibohm, J. and Esposito, M. Finite-time dynamical phase transition in non-equilibrium relaxation 2021   article  
Abstract: We uncover a finite-time dynamical phase transition in the thermal relaxation of a mean-field magnetic model. The phase transition manifests itself as a cusp singularity in the probability distribution of the magnetisation that forms at a critical time. The transition is due to a sudden switch in the dynamics of the system, characterised by a dynamical order parameter, and is shown to be independent of the specific details of the model. Close to criticalilty, we find an exact mapping between the dynamical phase transition and an equilibrium phase transition of the same model at finite external field, and thus derive dynamical critical exponents of mean-field type. We argue that spatiotemporal fluctuations of the order parameter, neglected at the mean-field level, may lead to corrections to the mean-field exponents, thus giving rise to novel, dynamical critical phenomena.
BibTeX:
@article{Meibohm2021vol,
  author = {Jan Meibohm and Massimiliano Esposito},
  title = {Finite-time dynamical phase transition in non-equilibrium relaxation},
  year = {2021}
}
Monthus, C. Microcanonical conditioning of Markov processes on time-additive observables 2021   article  
Abstract: The recent study by B. De Bruyne, S. N. Majumdar, H. Orland and G. Schehr [arXiv:2110.07573], concerning the conditioning of the Brownian motion and of random walks on global dynamical constraints over a finite time-window T, is reformulated as a general framework for the 'microcanonical conditioning' of Markov processes on time-additive observables. This formalism is applied to various types of Markov processes, namely discrete-time Markov chains, continuous-time Markov jump processes and diffusion processes in arbitrary dimension. In each setting, the time-additive observable is also fully general, i.e. it can involve both the time spent in each configuration and the elementary increments of the Markov process. The various cases are illustrated via simple explicit examples. Finally, we describe the link with the 'canonical conditioning' based on the generating function of the time-additive observable for finite time T, while the regime of large time T allows to recover the standard large deviation analysis of time-additive observables via the deformed Markov operator approach.
BibTeX:
@article{Monthus2021volb,
  author = {Cecile Monthus},
  title = {Microcanonical conditioning of Markov processes on time-additive observables},
  year = {2021}
}
Monthus, C. Non-equilibrium dynamics of disordered exclusion processes between two reservoirs : Mean-Field approximation for the large deviations at Level 2.5 2021   article  
Abstract: For disordered exclusion processes on N sites between two reservoirs, the explicit dynamical large deviations at Level 2.5 in the space of the 2^N configurations is projected onto real space via the simplest approximation, namely the mean-field approximation for the empirical density and for the empirical flows. For the disordered Totally Asymmetric model (TASEP), this framework yields the large deviations for the joint distribution of the empirical density profile and of the empirical current; the further explicit contraction over the current allows to obtain the large deviations of the empirical density profile alone. For the disordered Asymmetric model (ASEP), the local empirical observables also involve the empirical activities of the links and of the reservoirs; the further explicit contraction over these activities yields the large deviations for the joint distribution of the empirical density profile and of the empirical current. The consequences for the large deviations properties of time-additive space-local observables are also discussed in both cases.
BibTeX:
@article{Monthus2021vola,
  author = {Cecile Monthus},
  title = {Non-equilibrium dynamics of disordered exclusion processes between two reservoirs : Mean-Field approximation for the large deviations at Level 2.5},
  year = {2021}
}
Vroylandt, H., Goudenège, L., Monmarché, P., Pietrucci, F. and Rotenberg, B. Likelihood-based parametric estimator for memory kernel in molecular dynamics 2021   article  
Abstract: We introduce a new method to accurately and efficiently estimate the effective dynamics of collective variables in molecular simulations. Such reduced dynamics play an essential role in the study of a broad class of processes, ranging from chemical reactions in solution to conformational changes in biomolecules or phase transitions in condensed matter systems. The standard Markovian approximation often breaks down due to the lack of a proper separation of time scales and memory effects must be taken into account. Using a parametrization based on hidden auxiliary variables, we obtain a generalized Langevin equation by maximizing the statistical likelihood of the observed trajectories. The memory kernel and random noise are correctly recovered by this procedure. This data-driven approach provides a reduced dynamical model for multidimensional collective variables, enabling the accurate sampling of their long-time dynamical properties at a computational cost drastically reduced with respect to all-atom numerical simulations. We illustrate the potential of this method on several model systems, both in and out of equilibrium.
BibTeX:
@article{Vroylandt2021vol,
  author = {Hadrien Vroylandt and Ludovic Goudenège and Pierre Monmarché and Fabio Pietrucci and Benjamin Rotenberg},
  title = {Likelihood-based parametric estimator for memory kernel in molecular dynamics},
  year = {2021}
}
Zhao, T., Xu, M., Xiao, X., Ma, Y., Li, Z. and Wang, Z.L. Recent progress in blue energy harvesting for powering distributed sensors in ocean 2021 Nano Energy
Vol. 88, pp. 106199 
article DOI  
BibTeX:
@article{Zhao2021vol88,
  author = {Tiancong Zhao and Minyi Xu and Xiu Xiao and Yong Ma and Zhou Li and Zhong Lin Wang},
  title = {Recent progress in blue energy harvesting for powering distributed sensors in ocean},
  journal = {Nano Energy},
  publisher = {Elsevier BV},
  year = {2021},
  volume = {88},
  pages = {106199},
  doi = {https://doi.org/10.1016/j.nanoen.2021.106199}
}
Palacio-Rodriguez, K., Vroylandt, H., Stelzl, L.S., Pietrucci, F., Hummer, G. and Cossio, P. Transition rates, survival probabilities, and quality of bias from time-dependent biased simulations 2021   article  
Abstract: Simulations with an adaptive time-dependent bias, such as metadynamics, enable an efficient exploration of the conformational space of a system. However, the dynamic information of the system is altered by the bias. With infrequent metadynamics it is possible to recover the transition rate of crossing a barrier, if the collective variables are ideal and there is no bias deposition near the transition state. Unfortunately, for simulations of complex molecules, these conditions are not always fulfilled. To overcome these limitations, and inspired by single-molecule force spectroscopy, we developed a method based on Kramers' theory for calculating the barrier-crossing rate when a time-dependent bias is added to the system. We assess the quality of the bias parameter by measuring how efficiently the bias accelerates the transitions compared to ideal behavior. We present approximate analytical expressions of the survival probability that accurately reproduce the barrier-crossing time statistics, and enable the extraction of the unbiased transition rate even for challenging cases, where previous methods fail.
BibTeX:
@article{PalacioRodriguez2021vol,
  author = {Karen Palacio-Rodriguez and Hadrien Vroylandt and Lukas S. Stelzl and Fabio Pietrucci and Gerhard Hummer and Pilar Cossio},
  title = {Transition rates, survival probabilities, and quality of bias from time-dependent biased simulations},
  year = {2021}
}
Alicki, R., Gelbwaser-Klimovsky, D. and Jenkins, A. The problem of engines in statistical physics 2021   article  
Abstract: Engines are open systems that can generate work cyclically, at the expense of
an external disequilibrium. They are ubiquitous in nature and technology, but
the course of mathematical physics over the last 300 years has tended to make
their dynamics in time a theoretical blind spot. This has hampered the
usefulness of statistical mechanics applied to active systems, including
living matter. We argue that recent advances in the theory of open quantum
systems, coupled with renewed interest in understanding how active forces
result from positive feedback between different macroscopic degrees of
freedom in the presence of dissipation, point to a more realistic description
of autonomous engines. We propose a general conceptualization of an engine
that helps clarify the distinction between its heat and work outputs. Based
on this, we show how the external loading force and the thermal noise may be
incorporated into the relevant equations of motion. This modifies the usual
Fokker-Planck and Langevin equations, offering a thermodynamically complete
formulation of the irreversible dynamics of simple oscillating and rotating
engines.
BibTeX:
@article{Alicki2021vol,
  author = {Robert Alicki and David Gelbwaser-Klimovsky and Alejandro Jenkins},
  title = {The problem of engines in statistical physics},
  year = {2021}
}
Bouchet, F. and Reygner, J. Path integral derivation and numerical computation of large deviation prefactors for non-equilibrium dynamics through matrix Riccati equations 2021   article  
Abstract: For many non-equilibrium dynamics driven by small noise, in physics,
chemistry, biology, or economy, rare events do matter. Large deviation theory
then explains that the leading order term of the main statistical quantities
have an exponential behavior. The exponential rate is often obtained as the
infimum of an action, which is minimized along an instanton. In this paper,
we consider the computation of the next order sub-exponential prefactors,
which are crucial for a large number of applications. Following a path
integral approach, we derive the dynamics of the Gaussian fluctuations around
the instanton and compute from it the sub-exponential prefactors. As might be
expected, the formalism leads to the computation of functional determinants
and matrix Riccati equations. By contrast with the cases of equilibrium
dynamics with detailed balance or generalized detailed balance, we stress the
specific non locality of the solutions of the Riccati equation: the
prefactors depend on fluctuations all along the instanton and not just at its
starting and ending points. We explain how to numerically compute the
prefactors. The case of statistically stationary quantities requires
considerations of non trivial initial conditions for the matrix Riccati
equation.
BibTeX:
@article{Bouchet2021vol,
  author = {Freddy Bouchet and Julien Reygner},
  title = {Path integral derivation and numerical computation of large deviation prefactors for non-equilibrium dynamics through matrix Riccati equations},
  year = {2021}
}
Commons, J., Yang, Y.-J. and Qian, H. Duality Symmetry, Two Entropy Functions, and an Eigenvalue Problem in Gibbs' Theory 2021   article  
Abstract: We generalize the convex duality symmetry in Gibbs' statistical ensemble
formulation, between Massieu's free entropy _V,N () and the
Gibbs entropy _V,N(u) as a function of mean internal energy u.
The duality tells us that Gibbs thermodynamic entropy is to the law of large
numbers (LLN) for arithmetic sample means what Shannon's information entropy
is to the LLN for empirical counting frequencies. Following the same logic,
we identify u as the conjugate variable to counting frequency, a
Hamilton-Jacobi equation for Shannon entropy as an equation of state, and
suggest an eigenvalue problem for modeling statistical frequencies of
correlated data.
BibTeX:
@article{Commons2021vol,
  author = {Jeffrey Commons and Ying-Jen Yang and Hong Qian},
  title = {Duality Symmetry, Two Entropy Functions, and an Eigenvalue Problem in Gibbs' Theory},
  year = {2021}
}
McClellan, G.E. Operators and Field Equations in the Electroweak Sector of Particle Physics 2021 Advances in Applied Clifford Algebras
Vol. 31(4) 
article DOI  
BibTeX:
@article{McClellan2021vol31,
  author = {Gene E. McClellan},
  title = {Operators and Field Equations in the Electroweak Sector of Particle Physics},
  journal = {Advances in Applied Clifford Algebras},
  publisher = {Springer Science and Business Media LLC},
  year = {2021},
  volume = {31},
  number = {4},
  doi = {https://doi.org/10.1007/s00006-021-01168-x}
}
O'Byrne, J. Non-Equilibrium Currents in Stochastic Field Theories: a Geometric Insight 2021   article  
Abstract: We introduce a new formalism to study nonequilibrium steady-state currents in stochastic field theories. We show that generalizing the exterior derivative to functional spaces allows identifying the subspaces in which the system undergoes local rotations. In turn, this allows predicting the counterparts in the real, physical space of these abstract probability currents. The results are presented for the case of the Active Model B undergoing motility-induced phase separation, which is known to be out of equilibrium but whose steady-state currents have not yet been observed, as well as for the KPZ equation. We locate and measure these currents and show that they manifest in real space as propagating modes localized in regions with non-vanishing gradients of the fields.
BibTeX:
@article{OByrne2021vol,
  author = {Jérémy O'Byrne},
  title = {Non-Equilibrium Currents in Stochastic Field Theories: a Geometric Insight},
  year = {2021}
}
Watanabe, G. and Minami, Y. Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines 2021   article  
Abstract: Fluctuations of thermodynamic quantities become nonnegligible and play an
important role when the system size is small. We develop finite-time
thermodynamics of fluctuations in microscopic heat engines whose
environmental temperature and mechanical parameter are driven periodically in
time. This formalism universally holds in coarse-grained time scale whose
resolution is much longer than the correlation time of the fluctuations, and
is shown to be consistent with the relation analogous to the
fluctuation-dissipation relation. Employing a geometric argument, a scenario
to simultaneously minimize both the average and fluctuation of the
dissipation in the Carnot cycle is identified. Furthermore, we demonstrate
our optimized protocol can improve the dissipation and its fluctuation over
the current experiment.
BibTeX:
@article{Watanabe2021vol,
  author = {Gentaro Watanabe and Yuki Minami},
  title = {Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines},
  year = {2021}
}
Zhang, Y., Latora, V. and Motter, A.E. Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions 2021 Communications Physics
Vol. 4(1) 
article DOI  
Comment: Traite de la bloc diagonalisation simultanée de plusieurs matrices
BibTeX:
@article{Zhang2021vol4,
  author = {Zhang, Yuanzhao and Latora, Vito and Motter, Adilson E.},
  title = {Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions},
  journal = {Communications Physics},
  publisher = {Springer Science and Business Media LLC},
  year = {2021},
  volume = {4},
  number = {1},
  doi = {https://doi.org/10.1038/s42005-021-00695-0}
}
Ryu, J.-W., Lazarescu, A., Marathe, R. and Thingna, J. Stochastic thermodynamics of inertial Stuart-Landau dimer 2021   article  
Abstract: Stuart-Landau limit-cycle oscillators are a paradigm in the study of coherent
and incoherent limit cycles. In this work, we generalize the standard
Stuart-Landau dimer model to include effects due to inertia and noise and
study its dynamics and stochastic thermodynamics. In the absence of noise
(zero-temperature limit), the dynamics show the emergence of a new bistable
phase where coherent and incoherent limit cycles coexist. At finite
temperatures, we develop a stochastic thermodynamic framework based on the
dynamics of a charged particle in a magnetic field to identify physically
meaningful heat and work. The stochastic system no longer exhibits the
bistable phase but the thermodynamic observables, such as work, exhibit
bistability in the temporally metastable regime. We demonstrate that the
inertial Stuart-Landau dimer operates like a machine, reliably outputting the
most work when the oscillators coherently synchronize and unreliable with
minimum work output when the oscillators are incoherent. Overall, our results
show the importance of coherent synchronization within the working substance
in the operation of a thermal machine.
BibTeX:
@article{Ryu2021vol,
  author = {Jung-Wan Ryu and Alexandre Lazarescu and Rahul Marathe and Juzar Thingna},
  title = {Stochastic thermodynamics of inertial Stuart-Landau dimer},
  year = {2021}
}
Freitas, N., Falasco, G. and Esposito, M. Linear response in large deviations theory: A method to compute non-equilibrium distributions 2021   article  
Abstract: We consider thermodynamically consistent autonomous Markov jump processes
displaying a macroscopic limit in which the logarithm of the probability
distribution is proportional to a scale-independent rate function (i.e., a
large deviations principle is satisfied). In order to provide an explicit
expression for the probability distribution valid away from equilibrium, we
propose a linear response theory performed at the level of the rate function.
We show that the first order non-equilibrium contribution to the steady state
rate function, g(x), satisfies u(x)⋅ ∇ g(x) =
-β dot W(x) where the vector field u(x) defines the
macroscopic deterministic dynamics, and the scalar field dot W(x)
equals the rate at which work is performed on the system in a given state
x. This equation provides a practical way to determine g(x),
significantly outperforms standard linear response theory applied at the
level of the probability distribution, and approximates the rate function
surprisingly well in some far-from-equilibrium conditions. The method applies
to a wealth of physical and chemical systems, that we exemplify by two
analytically tractable models -- an electrical circuit and an autocatalytic
chemical reaction network -- both undergoing a non-equilibrium transition
from a monostable phase to a bistable phase. Our approach can be easily
generalized to transient probabilities and non-autonomous dynamics. Moreover,
its recursive application generates a virtual flow in the probability space
which allows to determine the steady state rate function arbitrarily far from
equilibrium.
BibTeX:
@article{Freitas2021vola,
  author = {Nahuel Freitas and Gianmaria Falasco and Massimiliano Esposito},
  title = {Linear response in large deviations theory: A method to compute non-equilibrium distributions},
  year = {2021}
}
Vinutha, H.A. and Frenkel, D. Estimation of the equilibrium free energy for glasses using the Jarzynski equality 2021   article  
Abstract: The free energy of glasses cannot be estimated using thermodynamic
integration, as glasses are intrinsically not in equilibrium. We present
numerical simulations showing that, in contrast, plausible free-energy
estimates of a Kob-Andersen glass can be obtained using the Jarzynski
relation. Using the Jarzynski relation, we also compute the chemical
potential difference of the two components of this system, and find that, in
the glassy regime, the Jarzynski estimate matches well with the extrapolated
value of the supercooled liquid. Our findings are of broader interest as they
show that the Jarzynski method can be used under conditions where the
thermodynamic integration approach, which is normally more accurate, breaks
down completely. Systems where such an approach might be useful are gels and
jammed, glassy structures formed by compression.
BibTeX:
@article{Vinutha2021vol,
  author = {H. A. Vinutha and Daan Frenkel},
  title = {Estimation of the equilibrium free energy for glasses using the Jarzynski equality},
  year = {2021}
}
Haldar, A. and Das, A. Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws 2021   article  
Abstract: Equilibrium statistical mechanics rests on the assumption of ergodic dynamics
of a system modulo the conservation laws of local observables: extremization
of entropy immediately gives Gibbs' ensemble (GE) for energy conserving
systems and a generalized version of it (GGE) when the number of local
conserved quantities (LCQ) is more than one. Through the last decade,
statistical mechanics has been extended to describe the late-time behaviour
of periodically driven (Floquet) quantum matter starting from a generic
state. The structure built on the fundamental assumptions of ergodicity and
identification of the relevant "conservation laws" in this inherently
non-equilibrium setting. More recently, it has been shown that the
statistical mechanics has a much richer structure due to the existence of
emergent conservation laws: these are approximate but stable
conservation laws arising due to the drive, and are not present in the
undriven system. Extensive numerical and analytical results support perpetual
stability of these emergent (though approximate) conservation laws, probably
even in the thermodynamic limit. This banks on the recent finding of a sharp
ergodicity threshold for Floquet thermalization in clean, interacting
non-integrable Floquet systems. This opens up a new possibility of stable
Floquet engineering in such systems. This review intends to give a
theoretical overview of these developments. We conclude by briefly surveying
the experimental scenario.
BibTeX:
@article{Haldar2021vol,
  author = {Asmi Haldar and Arnab Das},
  title = {Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws},
  year = {2021}
}
Coddens, G. The Geometrical Meaning of Spinors Lights the Way to Make Sense of Quantum Mechanics 2021 Symmetry
Vol. 13(4), pp. 659 
article DOI  
BibTeX:
@article{Coddens2021vol13,
  author = {Gerrit Coddens},
  title = {The Geometrical Meaning of Spinors Lights the Way to Make Sense of Quantum Mechanics},
  journal = {Symmetry},
  publisher = {MDPI AG},
  year = {2021},
  volume = {13},
  number = {4},
  pages = {659},
  doi = {https://doi.org/10.3390/sym13040659}
}
Monthus, C. Jump-Drift and Jump-Diffusion Processes : Large Deviations for the density, the current and the jump-flow and for the excursions between jumps 2021   article  
Abstract: For one-dimensional Jump-Drift and Jump-Diffusion processes converging
towards some steady state, the large deviations of a long dynamical
trajectory are described from two perspectives. Firstly, the joint
probability of the empirical time-averaged density, of the empirical
time-averaged current and of the empirical time-averaged jump-flow are
studied via the large deviations at Level 2.5. Secondly, the joint
probability of the empirical jumps and of the empirical excursions between
consecutive jumps are analyzed via the large deviations at Level 2.5 for the
alternate Markov chain that governs the series of all the jump events of a
long trajectory. These two general frameworks are then applied to three
examples of positive jump-drift processes without diffusion, and to two
examples of jump-diffusion processes, in order to illustrate various
simplifications that may occur in rate functions and in contraction
procedures.
BibTeX:
@article{Monthus2021vol,
  author = {Cecile Monthus},
  title = {Jump-Drift and Jump-Diffusion Processes : Large Deviations for the density, the current and the jump-flow and for the excursions between jumps},
  year = {2021}
}
Avanzini, F., Penocchio, E., Falasco, G. and Esposito, M. Nonequilibrium thermodynamics of non-ideal chemical reaction networks 2021 The Journal of Chemical Physics
Vol. 154(9) 
article DOI  
BibTeX:
@article{Avanzini2021vol154,
  author = {Avanzini, Francesco and Penocchio, Emanuele and Falasco, Gianmaria and Esposito, Massimiliano},
  title = {Nonequilibrium thermodynamics of non-ideal chemical reaction networks},
  journal = {The Journal of Chemical Physics},
  publisher = {AIP Publishing},
  year = {2021},
  volume = {154},
  number = {9},
  doi = {https://doi.org/10.1063/5.0041225}
}
Freitas, N., Proesmans, K. and Esposito, M. Reliability and entropy production in non-equilibrium electronic memories 2021   article  
Abstract: We find the relation between reliability and entropy production in a
realistic model of electronic memory (low-power MOS-based SRAM) where logical
values are encoded as metastable non-equilibrium states. We use large
deviations techniques to obtain an analytical expression for the bistable
quasipotential describing the non-equilibrium steady state and use it to
derive an explicit expression bounding the error rate of the memory. Our
results go beyond the dominant contribution given by classical instanton
theory and provide accurate estimates of the error rate as confirmed by
comparison with stochastic simulations. The methods developed can be adapted
to study the reliability of broad classes of nonlinear devices subjected to
thermal noise.
BibTeX:
@article{Freitas2021vol,
  author = {Nahuel Freitas and Karel Proesmans and Massimiliano Esposito},
  title = {Reliability and entropy production in non-equilibrium electronic memories},
  year = {2021}
}
Chou, T., Kosmas, V., Acciaro, M. and Renken, K. A Comeback of Wind Power in Shipping: An Economic and Operational Review on the Wind-Assisted Ship Propulsion Technology 2021 Sustainability
Vol. 13(4), pp. 1880 
article DOI  
BibTeX:
@article{Chou2021vol13,
  author = {Todd Chou and Vasileios Kosmas and Michele Acciaro and Katharina Renken},
  title = {A Comeback of Wind Power in Shipping: An Economic and Operational Review on the Wind-Assisted Ship Propulsion Technology},
  journal = {Sustainability},
  publisher = {MDPI AG},
  year = {2021},
  volume = {13},
  number = {4},
  pages = {1880},
  doi = {https://doi.org/10.3390/su13041880}
}
Mabillard, J. and Gaspard, P. Nonequilibrium statistical mechanics of crystals 2021   article  
Abstract: The local equilibrium approach previously developed by the Authors [J.
Mabillard and P. Gaspard, J. Stat. Mech. (2020) 103203] for matter with
broken symmetries is applied to crystalline solids. The macroscopic
hydrodynamics of crystals and their local thermodynamic and transport
properties are deduced from the microscopic Hamiltonian dynamics. In
particular, the Green-Kubo formulas are obtained for all the transport
coefficients. The eight hydrodynamic modes and their dispersion relation are
studied for general and cubic crystals. In the same twenty crystallographic
classes as those compatible with piezoelectricity, cross effects coupling
transport between linear momentum and heat or crystalline order are shown to
split the degeneracy of damping rates for modes propagating in opposite
generic directions.
BibTeX:
@article{Mabillard2021vol,
  author = {Joel Mabillard and Pierre Gaspard},
  title = {Nonequilibrium statistical mechanics of crystals},
  year = {2021}
}
Mayrhofer, R.D., Elouard, C., Splettstoesser, J. and Jordan, A.N. Stochastic thermodynamic cycles of a mesoscopic thermoelectric engine 2021 Phys. Rev. B
Vol. 103, pp. 075404 
article DOI URL 
BibTeX:
@article{Mayrhofer2021vol103,
  author = {Mayrhofer, R. David and Elouard, Cyril and Splettstoesser, Janine and Jordan, Andrew N.},
  title = {Stochastic thermodynamic cycles of a mesoscopic thermoelectric engine},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2021},
  volume = {103},
  pages = {075404},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.103.075404},
  doi = {https://doi.org/10.1103/PhysRevB.103.075404}
}
Bause, M. and Bereau, T. Reweighting non-equilibrium steady-state dynamics along collective variables 2021   article  
Abstract: Computer simulations generate microscopic trajectories of complex systems at
a single thermodynamic state point. We recently introduced a Maximum Caliber
(MaxCal) approach for dynamical reweighting. Our approach mapped these
trajectories to a Markovian description on the configurational coordinates,
and reweighted path probabilities as a function of external forces.
Trajectory probabilities can be dynamically reweighted both from and to
equilibrium or non-equilibrium steady states. As the system's dimensionality
increases, an exhaustive description of the microtrajectories becomes
prohibitive -- even with a Markovian assumption. Instead we reduce the
dimensionality of the configurational space to collective variables (CVs).
Going from configurational to CV space, we define local entropy productions
derived from configurationally averaged mean forces. The entropy production
is shown to be a suitable constraint on MaxCal for non-equilibrium steady
states expressed as a function of CVs. We test the reweighting procedure on
two systems: a particle subject to a two-dimensional potential and a
coarse-grained peptide. Our CV-based MaxCal approach expands dynamical
reweighting to larger systems, for both static and dynamical properties, and
across a large range of driving forces.
BibTeX:
@article{Bause2021vol,
  author = {Marius Bause and Tristan Bereau},
  title = {Reweighting non-equilibrium steady-state dynamics along collective variables},
  year = {2021}
}
Sánchez-D\iez, E., Ventosa, E., Guarnieri, M., Trovò, A., Flox, C., Marcilla, R., Soavi, F., Mazur, P., Aranzabe, E. and Ferret, R. Redox flow batteries: Status and perspective towards sustainable stationary energy storage 2021 Journal of Power Sources
Vol. 481, pp. 228804 
article DOI  
BibTeX:
@article{SanchezDiez2021vol481,
  author = {Eduardo Sánchez-D\iez and Edgar Ventosa and Massimo Guarnieri and Andrea Trovò and Cristina Flox and Rebeca Marcilla and Francesca Soavi and Petr Mazur and Estibaliz Aranzabe and Raquel Ferret},
  title = {Redox flow batteries: Status and perspective towards sustainable stationary energy storage},
  journal = {Journal of Power Sources},
  publisher = {Elsevier BV},
  year = {2021},
  volume = {481},
  pages = {228804},
  doi = {https://doi.org/10.1016/j.jpowsour.2020.228804}
}
Macdonald, A. Vector and geometric Algebra 2021   book  
BibTeX:
@book{Macdonald2021vol,
  author = {Macdonald, A.},
  title = {Vector and geometric Algebra},
  publisher = {Luther College, Decorah, IA 52101 USA},
  year = {2021}
}
Peliti, L. and Pigolotti, S. Stochastic Thermodynamics: An Introduction 2021   book  
BibTeX:
@book{Peliti2021vol,
  author = {Peliti, L. and Pigolotti, S.},
  title = {Stochastic Thermodynamics: An Introduction},
  publisher = {Princeton University Press},
  year = {2021}
}
Pörtner, H.-O., Scholes, R.J., Agard, J., Archer, E., Arneth, A., Bai, X., Barnes, D., Burrows, M., Chan, L., Cheung, W.L.(W., Diamond, S., Donatti, C., Duarte, C., Eisenhauer, N., Foden, W., Gasalla, M.A., Handa, C., Hickler, T., Hoegh-Guldberg, O., Ichii, K., Jacob, U., Insarov, G., Kiessling, W., Leadley, P., Leemans, R., Levin, L., Lim, M., Maharaj, S., Managi, S., Marquet, P.A., McElwee, P., Midgley, G., Oberdorff, T., Obura, D., Osman Elasha, B., Pandit, R., Pascual, U., Pires, A.P.F., Popp, A., Reyes-García, V., Sankaran, M., Settele, J., Shin, Y.-J., Sintayehu, D.W., Smith, P., Steiner, N., Strassburg, B., Sukumar, R., Trisos, C., Val, A., Wu, J., Aldrian, E., Parmesan, C., Pichs-Madruga, R., Roberts, D.C., Rogers, A.D., Díaz, S., Fischer, M., Hashimoto, S., Lavorel, S., Wu, N. and Ngo, H. Scientific outcome of the IPBES-IPCC co-sponsored workshop on biodiversity and climate change 2021   techreport DOI  
BibTeX:
@techreport{Poertner2021vol,
  author = {Pörtner, Hans-Otto and Scholes, Robert J. and Agard, John and Archer, Emma and Arneth, Almut and Bai, Xuemei and Barnes, David and Burrows, Michael and Chan, Lena and Cheung, Wai Lung (William) and Diamond, Sarah and Donatti, Camila and Duarte, Carlos and Eisenhauer, Nico and Foden, Wendy and Gasalla, Maria A. and Handa, Collins and Hickler, Thomas and Hoegh-Guldberg, Ove and Ichii, Kazuhito and Jacob, Ute and Insarov, Gregory and Kiessling, Wolfgang and Leadley, Paul and Leemans, Rik and Levin, Lisa and Lim, Michelle and Maharaj, Shobha and Managi, Shunsuke and Marquet, Pablo A. and McElwee, Pamela and Midgley, Guy and Oberdorff, Thierry and Obura, David and Osman Elasha, Balgis and Pandit, Ram and Pascual, Unai and Pires, Aliny P. F. and Popp, Alexander and Reyes-García, Victoria and Sankaran, Mahesh and Settele, Josef and Shin, Yunne-Jai and Sintayehu, Dejene W. and Smith, Peter and Steiner, Nadja and Strassburg, Bernardo and Sukumar, Raman and Trisos, Christopher and Val, Adalberto Luis and Wu, Jianguo and Aldrian, Edvin and Parmesan, Camille and Pichs-Madruga, Ramon and Roberts, Debra C. and Rogers, Alex D. and Díaz, Sandra and Fischer, Markus and Hashimoto, Shizuka and Lavorel, Sandra and Wu, Ning and Ngo, Hien},
  title = {Scientific outcome of the IPBES-IPCC co-sponsored workshop on biodiversity and climate change},
  publisher = {Zenodo},
  year = {2021},
  doi = {https://doi.org/10.5281/ZENODO.4659158}
}
Avanzini, F., Penocchio, E., Falasco, G. and Esposito, M. Nonequilibrium Thermodynamics of Non-Ideal Chemical Reaction Networks 2020   article  
Abstract: All current formulations of nonequilibrium thermodynamics of open chemical
reaction networks rely on the assumption of non-interacting species. We
develop a general theory which accounts for interactions between chemical
species within a mean-field approach using activity coefficients.
Thermodynamic consistency requires that rate equations do not obey to
standard mass-action kinetics, but account for the interactions with
concentration dependent kinetic constants. Many features of the ideal
formulations are recovered. Crucially, the thermodynamic potential and the
forces driving non-ideal chemical systems out of equilibrium are identified.
Our theory is general and holds for any mean-field expression of the
interactions leading to lower bounded free energies.
BibTeX:
@article{Avanzini2020vol,
  author = {Francesco Avanzini and Emanuele Penocchio and Gianmaria Falasco and Massimiliano Esposito},
  title = {Nonequilibrium Thermodynamics of Non-Ideal Chemical Reaction Networks},
  year = {2020}
}
Pacheco-Pozo, A. and Sokolov, I.M. Large Deviation in Continuous Time Random Walks 2020   article  
Abstract: We discuss large deviation properties of continuous-time random walks (CTRW)
and present a general expression for the large deviation rate in CTRW in
terms of the corresponding rates for the distributions of steps' lengths and
waiting times. In the case of Gaussian distribution of steps' lengths the
general expression reduces to a sequence of two Legendre transformations
applied to the cumulant generating function of waiting times. The discussion
of several examples (Bernoulli and Gaussian random walks with exponentially
distributed waiting times, Gaussian random walks with one-sided Lévy and
Pareto-distributed waiting times) reveals interesting general properties of
such large deviations.
BibTeX:
@article{PachecoPozo2020vol,
  author = {Adrian Pacheco-Pozo and Igor M. Sokolov},
  title = {Large Deviation in Continuous Time Random Walks},
  year = {2020}
}
Harunari, P.E., Filho, F.S., Fiore, C.E. and Rosas, A. Maximal power for heat engines: role of asymmetric time switchings 2020   article  
Abstract: The performance of endoreversible thermal machines operating at finite power
constitutes one of the main challenges of nonequilibrium classical and
quantum thermodynamics, engineering and others. Here we address the role of a
so far unexplored (but very realistic) ingredient: asymmetric interaction
times between system and reservoirs. We consider one of the simplest thermal
ma chines, composed of a quantum dot interacting sequentially with two
different reservoirs of heat and particles. Distinct optimization protocols
are analyzed in the framework of stochastic thermodynamics. Results reveal
that asymmetric time switchings plays a fundamental role in enhancing the
power output and that maximizations can provide efficiencies at maximum power
greater than the endoreversible Curzon-Ahlborn efficiency for a broad range
of revervoir temperatures.
BibTeX:
@article{Harunari2020vol,
  author = {Pedro E. Harunari and Fernando S. Filho and Carlos E. Fiore and Alexandre Rosas},
  title = {Maximal power for heat engines: role of asymmetric time switchings},
  year = {2020}
}
Das, J., Biswas, M. and Bag, B.C. A shortcut way to the Fokker-Planck equation for the non-Markovian dynamics 2020   article  
Abstract: Using a shortcut way we have derived the Fokker-Planck equation for the
Langevin dynamics with a generalized frictional memory kernel and
time-dependent force field. Then we have shown that this method is applicable
for the non-Markovian dynamics with additional force from harmonic potential
or magnetic field or both of them. The simplicity of the method in these
complex cases is highly noticeable and it is applicable to derive the
Fokker-Planck equation for any kind of linear Langevin equation of motion
which describes additive colored noise driven non Markovian dynamics with or
without frictional memory kernel. For example, one may apply the method even
for the linear system with an additional colored Gaussian noise which is not
related to the damping strength. With these the present study may get strong
attention in the field of stochastic thermodynamics which is now at early
stage to consider the non-Markovian dynamics.
BibTeX:
@article{Das2020vol,
  author = {Joydip Das and Mousumi Biswas and Bidhan Chandra Bag},
  title = {A shortcut way to the Fokker-Planck equation for the non-Markovian dynamics},
  year = {2020}
}
Korbel, J. and Wolpert, D.H. Stochastic thermodynamics and fluctuation theorems for non-linear systems 2020   article  
Abstract: We extend stochastic thermodynamics by relaxing the two assumptions that the
Markovian dynamics must be linear and that the equilibrium distribution must
be a Boltzmann distribution. We show that if we require the second law to
hold when those assumptions are relaxed, then it cannot be formulated in
terms of Shannon entropy. However, thermodynamic consistency is salvaged if
we reformulate the second law in terms of generalized entropy; our first
result is an equation relating the precise form of the non-linear master
equation to the precise associated generalized entropy which results in
thermodynamic consistency. We then build on this result to extend the usual
trajectory-level definitions of thermodynamic quantities that are appropriate
even when the two assumptions are relaxed. We end by using these
trajectory-level definitions to derive extended versions of the Crooks
fluctuation theorem and Jarzynski equality which apply when the two
assumptions are relaxed.
BibTeX:
@article{Korbel2020vol,
  author = {Jan Korbel and David H. Wolpert},
  title = {Stochastic thermodynamics and fluctuation theorems for non-linear systems},
  year = {2020}
}
Vanicat, M., Bertin, E., Lecomte, V. and Ragoucy, E. Mapping current and activity fluctuations in exclusion processes: consequences and open questions 2020   article  
Abstract: Considering the large deviations of activity and current in the Asymmetric
Simple Exclusion Process (ASEP), we show that there exists a non-trivial
correspondence between the joint scaled cumulant generating functions of
activity and current of two ASEPs with different parameters. This mapping is
obtained by applying a similarity transform on the deformed Markov matrix of
the source model in order to obtain the deformed Markov matrix of the target
model. We first derive this correspondence for periodic boundary conditions,
and show in the diffusive scaling limit (corresponding to the Weakly
Asymmetric Simple Exclusion Processes, or WASEP) how the mapping is expressed
in the language of Macroscopic Fluctuation Theory (MFT). As an interesting
specific case, we map the large deviations of current in the ASEP to the
large deviations of activity in the SSEP, thereby uncovering a regime of
Kardar-Parisi-Zhang in the distribution of activity in the SSEP. At large
activity, particle configurations exhibit hyperuniformity [Jack et al., PRL
114 060601 (2015)]. Using results from quantum spin chain theory, we
characterize the hyperuniform regime by evaluating the small wavenumber
asymptotic behavior of the structure factor at half-filling. Conversely, we
formulate from the MFT results a conjecture for a correlation function in
spin chains at any fixed total magnetization (in the thermodynamic limit). In
addition, we generalize the mapping to the case of two open ASEPs with
boundary reservoirs, and we apply it in the WASEP limit in the MFT formalism.
This mapping also allows us to find a symmetry-breaking dynamical phase
transition (DPT) in the WASEP conditioned by activity, from the prior
knowledge of a DPT in the WASEP conditioned by the current.
BibTeX:
@article{Vanicat2020vol,
  author = {Matthieu Vanicat and Eric Bertin and Vivien Lecomte and Eric Ragoucy},
  title = {Mapping current and activity fluctuations in exclusion processes: consequences and open questions},
  year = {2020}
}
Grmela, M. Multiscale Thermodynamics 2020   article  
Abstract: Multiscale thermodynamics is a theory of relations among levels of
investigation of complex systems. It includes the classical equilibrium
thermodynamics as a special case but it is applicable to both static and time
evolving processes in externally and internally driven macroscopic systems
that are far from equilibrium and are investigated on microscopic,
mesoscopic, and macroscopic levels. In this paper we formulate the multiscale
thermodynamics, explain its origin, and illustrate it in mesoscopic dynamics
that combines levels.
BibTeX:
@article{Grmela2020vol,
  author = {Miroslav Grmela},
  title = {Multiscale Thermodynamics},
  year = {2020}
}
Dinis, L., Unterberger, J. and Lacoste, D. Phase transitions in optimal betting strategies 2020 EPL (Europhysics Letters)
Vol. 131(6), pp. 60005 
article DOI  
BibTeX:
@article{Dinis2020vol131,
  author = {L. Dinis and J. Unterberger and D. Lacoste},
  title = {Phase transitions in optimal betting strategies},
  journal = {EPL (Europhysics Letters)},
  publisher = {IOP Publishing},
  year = {2020},
  volume = {131},
  number = {6},
  pages = {60005},
  doi = {https://doi.org/10.1209/0295-5075/131/60005}
}
Herbert, E., Ouerdane, H., Lecoeur, P., Bels, V. and Goupil, C. Thermodynamics of Animal Locomotion 2020 Physical Review Letters
Vol. 125(22), pp. 228102 
article DOI  
BibTeX:
@article{Herbert2020vol125,
  author = {E. Herbert and H. Ouerdane and Ph. Lecoeur and V. Bels and Ch. Goupil},
  title = {Thermodynamics of Animal Locomotion},
  journal = {Physical Review Letters},
  publisher = {American Physical Society (APS)},
  year = {2020},
  volume = {125},
  number = {22},
  pages = {228102},
  doi = {https://doi.org/10.1103/physrevlett.125.228102}
}
Dechant, A. and Sasa, S.-i. Continuous time-reversal and equality in the thermodynamic uncertainty relation 2020   article  
Abstract: We introduce a continuous time-reversal operation which connects the
time-forward and time-reversed trajectories in the steady state of an
irreversible Markovian dynamics via a continuous family of stochastic
dynamics. This continuous time-reversal allows us to derive a tighter version
of the thermodynamic uncertainty relation (TUR) involving observables
evaluated in different physical systems. Moreover, the family of dynamics
realizing the continuous time-reversal contains an equilibrium dynamics
halfway between the time-forward and time-reversed dynamics. We show that
this equilibrium dynamics, together with an appropriate choice of the
observable, turns the inequality in the TUR into an equality. We demonstrate
our findings for the example of a two-dimensional rotational flow and discuss
the role of the observable close to and far from equilibrium.
BibTeX:
@article{Dechant2020vol,
  author = {Andreas Dechant and Shin-ichi Sasa},
  title = {Continuous time-reversal and equality in the thermodynamic uncertainty relation},
  year = {2020}
}
Mabillard, J. and Gaspard, P. Microscopic approach to the macrodynamics of matter with broken symmetries 2020 Journal of Statistical Mechanics: Theory and Experiment
Vol. 2020(10), pp. 103203 
article DOI  
BibTeX:
@article{Mabillard2020vol2020,
  author = {Joël Mabillard and Pierre Gaspard},
  title = {Microscopic approach to the macrodynamics of matter with broken symmetries},
  journal = {Journal of Statistical Mechanics: Theory and Experiment},
  publisher = {IOP Publishing},
  year = {2020},
  volume = {2020},
  number = {10},
  pages = {103203},
  doi = {https://doi.org/10.1088/1742-5468/abb0e0}
}
Blokhuis, A., Lacoste, D. and Nghe, P. Universal motifs and the diversity of autocatalytic systems 2020 Proceedings of the National Academy of Sciences
Vol. 117(41), pp. 25230-25236 
article DOI  
BibTeX:
@article{Blokhuis2020vol117,
  author = {Alex Blokhuis and David Lacoste and Philippe Nghe},
  title = {Universal motifs and the diversity of autocatalytic systems},
  journal = {Proceedings of the National Academy of Sciences},
  publisher = {Proceedings of the National Academy of Sciences},
  year = {2020},
  volume = {117},
  number = {41},
  pages = {25230--25236},
  doi = {https://doi.org/10.1073/pnas.2013527117}
}
de Oliveira, M.J. Stochastic thermodynamics of system with continuous space of states 2020   article  
Abstract: We analyze the stochastic thermodynamics of systems with continuous space of
states. The evolution equation, the rate of entropy production, and other
results are obtained by a continuous time limit of a discrete time
formulation. We point out the role of time reversal and of the dissipation
part of the probability current on the production of entropy. We show that
the rate of entropy production is a bilinear form in the components of the
dissipation probability current with coefficients being the components of the
precision matrix related to the Gaussian noise. We have also analyzed a type
of noise that makes the energy function to be strictly constant along the
stochastic trajectory, being appropriate to describe an isolated system. This
type of noise leads to nonzero entropy production and thus to an increase of
entropy in the system. This result contrasts with the invariance of the
entropy predicted by the Liouville equation, which also describes an isolated
system.
BibTeX:
@article{Oliveira2020vol,
  author = {Mário J. de Oliveira},
  title = {Stochastic thermodynamics of system with continuous space of states},
  year = {2020}
}
Gaspard, P. Stochastic approach to entropy production in chemical chaos 2020   article  
Abstract: Methods are presented to evaluate the entropy production rate in stochastic
reactive systems. These methods are shown to be consistent with known results
from nonequilibrium chemical thermodynamics. Moreover, it is proved that the
time average of the entropy production rate can be decomposed into the
contributions of the cycles obtained from the stoichiometric matrix in both
stochastic processes and deterministic systems. These methods are applied to
a complex reaction network constructed on the basis of Roessler's reinjection
principle and featuring chemical chaos.
BibTeX:
@article{Gaspard2020vol,
  author = {Pierre Gaspard},
  title = {Stochastic approach to entropy production in chemical chaos},
  year = {2020}
}
Panakkal, S.M., Parameswaran, R and Vedan, M.J. A geometric algebraic approach to fluid dynamics 2020 Physics of Fluids
Vol. 32(8), pp. 087111 
article DOI  
BibTeX:
@article{Panakkal2020vol32,
  author = {Susan Mathew Panakkal and Parameswaran R and M. J. Vedan},
  title = {A geometric algebraic approach to fluid dynamics},
  journal = {Physics of Fluids},
  publisher = {AIP Publishing},
  year = {2020},
  volume = {32},
  number = {8},
  pages = {087111},
  doi = {https://doi.org/10.1063/5.0017344}
}
Suda, T. Application of Helmholtz–Hodge decomposition to the study of certain vector fields 2020 Journal of Physics A: Mathematical and Theoretical
Vol. 53(37), pp. 375703 
article DOI  
BibTeX:
@article{Suda2020vol53,
  author = {Tomoharu Suda},
  title = {Application of Helmholtz–Hodge decomposition to the study of certain vector fields},
  journal = {Journal of Physics A: Mathematical and Theoretical},
  publisher = {IOP Publishing},
  year = {2020},
  volume = {53},
  number = {37},
  pages = {375703},
  doi = {https://doi.org/10.1088/1751-8121/aba657}
}
Zyla, P.A., Barnett, R.M., Beringer, J., Dahl, O., Dwyer, D.A., Groom, D.E., Lin, C.J., Lugovsky, K.S., Pianori, E., Robinson, D.J., Wohl, C.G., Yao, W.M., Agashe, K., Aielli, G., Allanach, B.C., Amsler, C., Antonelli, M., Aschenauer, E.C., Asner, D.M., Baer, H., Banerjee, S., Baudis, L., Bauer, C.W., Beatty, J.J., Belousov, V.I., Bethke, S., Bettini, A., Biebel, O., Black, K.M., Blucher, E., Buchmuller, O., Burkert, V., Bychkov, M.A., Cahn, R.N., Carena, M., Ceccucci, A., Cerri, A., Chakraborty, D., Chivukula, R.S., Cowan, G., D'Ambrosio, G., Damour, T., de Florian, D., de Gouvêa, A., DeGrand, T., de Jong, P., Dissertori, G., Dobrescu, B.A., D'Onofrio, M., Doser, M., Drees, M., Dreiner, H.K., Eerola, P., Egede, U., Eidelman, S., Ellis, J., Erler, J., Ezhela, V.V., Fetscher, W., Fields, B.D., Foster, B., Freitas, A., Gallagher, H., Garren, L., Gerber, H.J., Gerbier, G., Gershon, T., Gershtein, Y., Gherghetta, T., Godizov, A.A., Gonzalez-Garcia, M.C., Goodman, M., Grab, C., Gritsan, A.V., Grojean, C., Grünewald, M., Gurtu, A., Gutsche, T., Haber, H.E., Hanhart, C., Hashimoto, S., Hayato, Y., Hebecker, A., Heinemeyer, S., Heltsley, B., Hernández-Rey, J.J., Hikasa, K., Hisano, J., Höcker, A., Holder, J., Holtkamp, A., Huston, J., Hyodo, T., Johnson, K.F., Kado, M., Karliner, M., Katz, U.F., Kenzie, M., Khoze, V.A., Klein, S.R., Klempt, E., Kowalewski, R.V., Krauss, F., Kreps, M., Krusche, B., Kwon, Y., Lahav, O., Laiho, J., Lellouch, L.P., Lesgourgues, J., Liddle, A.R., Ligeti, Z., Lippmann, C., Liss, T.M., Littenberg, L., Lourengo, C., Lugovsky, S.B., Lusiani, A., Makida, Y., Maltoni, F., Mannel, T., Manohar, A.V., Marciano, W.J., Masoni, A., Matthews, J., Meißner, U.G., Mikhasenko, M., Miller, D.J., Milstead, D., Mitchell, R.E., Mönig, K., Molaro, P., Moortgat, F., Moskovic, M., Nakamura, K., Narain, M., Nason, P., Navas, S., Neubert, M., Nevski, P., Nir, Y., Olive, K.A., Patrignani, C., Peacock, J.A., Petcov, S.T., Petrov, V.A., Pich, A., Piepke, A., Pomarol, A., Profumo, S., Quadt, A., Rabbertz, K., Rademacker, J., Raffelt, G., Ramani, H., Ramsey-Musolf, M., Ratcliff, B.N., Richardson, P., Ringwald, A., Roesler, S., Rolli, S., Romaniouk, A., Rosenberg, L.J., Rosner, J.L., Rybka, G., Ryskin, M., Ryutin, R.A., Sakai, Y., Salam, G.P., Sarkar, S., Sauli, F., Schneider, O., Scholberg, K., Schwartz, A.J., Schwiening, J., Scott, D., Sharma, V., Sharpe, S.R., Shutt, T., Silari, M., Sjöstrand, T., Skands, P., Skwarnicki, T., Smoot, G.F., Soffer, A., Sozzi, M.S., Spanier, S., Spiering, C., Stahl, A., Stone, S.L., Sumino, Y., Sumiyoshi, T., Syphers, M.J., Takahashi, F., Tanabashi, M., Tanaka, J., Tasevský, M., Terashi, K., Terning, J., Thoma, U., Thorne, R.S., Tiator, L., Titov, M., Tkachenko, N.P., Tovey, D.R., Trabelsi, K., Urquijo, P., Valencia, G., Van de Water, R., Varelas, N., Venanzoni, G., Verde, L., Vincter, M.G., Vogel, P., Vogelsang, W., Vogt, A., Vorobyev, V., Wakely, S.P., Walkowiak, W., Walter, C.W., Wands, D., Wascko, M.O., Weinberg, D.H., Weinberg, E.J., White, M., Wiencke, L.R., Willocq, S., Woody, C.L., Workman, R.L., Yokoyama, M., Yoshida, R., Zanderighi, G., Zeller, G.P., Zenin, O.V., Zhu, R.Y., Zhu, S.L., Zimmermann, F., Anderson, J., Basaglia, T., Lugovsky, V.S., Schaffner, P. and Zheng, W. Review of Particle Physics 2020 Progress of Theoretical and Experimental Physics
Vol. 2020(8) 
article DOI  
BibTeX:
@article{Zyla2020vol2020,
  author = {Zyla, P A and Barnett, R M and Beringer, J and Dahl, O and Dwyer, D A and Groom, D E and Lin, C -J and Lugovsky, K S and Pianori, E and Robinson, D J and Wohl, C G and Yao, W -M and Agashe, K and Aielli, G and Allanach, B C and Amsler, C and Antonelli, M and Aschenauer, E C and Asner, D M and Baer, H and Banerjee, Sw and Baudis, L and Bauer, C W and Beatty, J J and Belousov, V I and Bethke, S and Bettini, A and Biebel, O and Black, K M and Blucher, E and Buchmuller, O and Burkert, V and Bychkov, M A and Cahn, R N and Carena, M and Ceccucci, A and Cerri, A and Chakraborty, D and Chivukula, R Sekhar and Cowan, G and D'Ambrosio, G and Damour, T and de Florian, D and de Gouvêa, A and DeGrand, T and de Jong, P and Dissertori, G and Dobrescu, B A and D'Onofrio, M and Doser, M and Drees, M and Dreiner, H K and Eerola, P and Egede, U and Eidelman, S and Ellis, J and Erler, J and Ezhela, V V and Fetscher, W and Fields, B D and Foster, B and Freitas, A and Gallagher, H and Garren, L and Gerber, H -J and Gerbier, G and Gershon, T and Gershtein, Y and Gherghetta, T and Godizov, A A and Gonzalez-Garcia, M C and Goodman, M and Grab, C and Gritsan, A V and Grojean, C and Grünewald, M and Gurtu, A and Gutsche, T and Haber, H E and Hanhart, C and Hashimoto, S and Hayato, Y and Hebecker, A and Heinemeyer, S and Heltsley, B and Hernández-Rey, J J and Hikasa, K and Hisano, J and Höcker, A and Holder, J and Holtkamp, A and Huston, J and Hyodo, T and Johnson, K F and Kado, M and Karliner, M and Katz, U F and Kenzie, M and Khoze, V A and Klein, S R and Klempt, E and Kowalewski, R V and Krauss, F and Kreps, M and Krusche, B and Kwon, Y and Lahav, O and Laiho, J and Lellouch, L P and Lesgourgues, J and Liddle, A R and Ligeti, Z and Lippmann, C and Liss, T M and Littenberg, L and Lourengo, C and Lugovsky, S B and Lusiani, A and Makida, Y and Maltoni, F and Mannel, T and Manohar, A V and Marciano, W J and Masoni, A and Matthews, J and Meißner, U -G and Mikhasenko, M and Miller, D J and Milstead, D and Mitchell, R E and Mönig, K and Molaro, P and Moortgat, F and Moskovic, M and Nakamura, K and Narain, M and Nason, P and Navas, S and Neubert, M and Nevski, P and Nir, Y and Olive, K A and Patrignani, C and Peacock, J A and Petcov, S T and Petrov, V A and Pich, A and Piepke, A and Pomarol, A and Profumo, S and Quadt, A and Rabbertz, K and Rademacker, J and Raffelt, G and Ramani, H and Ramsey-Musolf, M and Ratcliff, B N and Richardson, P and Ringwald, A and Roesler, S and Rolli, S and Romaniouk, A and Rosenberg, L J and Rosner, J L and Rybka, G and Ryskin, M and Ryutin, R A and Sakai, Y and Salam, G P and Sarkar, S and Sauli, F and Schneider, O and Scholberg, K and Schwartz, A J and Schwiening, J and Scott, D and Sharma, V and Sharpe, S R and Shutt, T and Silari, M and Sjöstrand, T and Skands, P and Skwarnicki, T and Smoot, G F and Soffer, A and Sozzi, M S and Spanier, S and Spiering, C and Stahl, A and Stone, S L and Sumino, Y and Sumiyoshi, T and Syphers, M J and Takahashi, F and Tanabashi, M and Tanaka, J and Tasevský, M and Terashi, K and Terning, J and Thoma, U and Thorne, R S and Tiator, L and Titov, M and Tkachenko, N P and Tovey, D R and Trabelsi, K and Urquijo, P and Valencia, G and Van de Water, R and Varelas, N and Venanzoni, G and Verde, L and Vincter, M G and Vogel, P and Vogelsang, W and Vogt, A and Vorobyev, V and Wakely, S P and Walkowiak, W and Walter, C W and Wands, D and Wascko, M O and Weinberg, D H and Weinberg, E J and White, M and Wiencke, L R and Willocq, S and Woody, C L and Workman, R L and Yokoyama, M and Yoshida, R and Zanderighi, G and Zeller, G P and Zenin, O V and Zhu, R -Y and Zhu, S -L and Zimmermann, F and Anderson, J and Basaglia, T and Lugovsky, V S and Schaffner, P and Zheng, W},
  title = {Review of Particle Physics},
  journal = {Progress of Theoretical and Experimental Physics},
  publisher = {Oxford University Press (OUP)},
  year = {2020},
  volume = {2020},
  number = {8},
  doi = {https://doi.org/10.1093/ptep/ptaa104}
}
Wang, L. and Jiang, Y. Neural Network Statistical Mechanics 2020   article  
Abstract: We propose a general framework to extract microscopic interactions from raw
configurations with deep neural networks. The approach replaces the modeling
Hamiltonian by the neural networks, in which the interaction is encoded. It
can be trained with data collected from Ab initio computations or
experiments. The well-trained neural networks give an accurate estimation of
the possibility distribution of the configurations at fixed external
parameters. It can be spontaneously extrapolated to detect the phase
structures since classical statistical mechanics as prior knowledge here. We
apply the approach to a 2D spin system, training at a fixed temperature, and
reproducing the phase structure. Scaling the configuration on lattice
exhibits the interaction changes with the degree of freedom, which can be
naturally applied to the experimental measurements. Our approach bridges the
gap between the real configurations and the microscopic dynamics with an
autoregressive neural network.
BibTeX:
@article{Wang2020vol,
  author = {Lingxiao Wang and Yin Jiang},
  title = {Neural Network Statistical Mechanics},
  year = {2020}
}
Esposito, M. Open Questions on Nonequilibrium Thermodynamics of Chemical Reaction Networks 2020   article  
Abstract: Chemical reaction networks (CRNs) are prototypical complex systems because
reactions are nonlinear and connected in intricate ways, and they are also
essential to understand living systems. Here, I discuss how recent
developments in nonequilibrium thermodynamics provide new insight on how CRNs
process energy and perform sophisticated tasks, and describe open challenges
in the field.
BibTeX:
@article{Esposito2020vol,
  author = {Massimiliano Esposito},
  title = {Open Questions on Nonequilibrium Thermodynamics of Chemical Reaction Networks},
  year = {2020}
}
Ahluwalia, D.V. A new class of mass dimension one fermions 2020 Proc. R. Soc. A 476: 20200249 (2020)  article DOI  
Abstract: These are notes on the square root of 44 identity matrix and
associated quantum fields of spin one half. The method is illustrated by
constructing a new mass dimension one fermionic field. The presented field is
local. The field energy is bounded from below. It is argued that these
fermions are a first-principle candidate for dark matter with an unsuppressed
quartic self interaction.
BibTeX:
@article{Ahluwalia2020vol,
  author = {Dharam Vir Ahluwalia},
  title = {A new class of mass dimension one fermions},
  journal = {Proc. R. Soc. A 476: 20200249 (2020)},
  year = {2020},
  doi = {https://doi.org/10.1098/rspa.2020.0249}
}
Feldhoff, A. Power Conversion and Its Efficiency in Thermoelectric Materials 2020 Entropy
Vol. 22(8), pp. 803 
article DOI  
BibTeX:
@article{Feldhoff2020vol22,
  author = {Feldhoff, Armin},
  title = {Power Conversion and Its Efficiency in Thermoelectric Materials},
  journal = {Entropy},
  publisher = {MDPI AG},
  year = {2020},
  volume = {22},
  number = {8},
  pages = {803},
  doi = {https://doi.org/10.3390/e22080803}
}
Ashida, Y., Gong, Z. and Ueda, M. Non-Hermitian Physics 2020   article  
Abstract: A review is given on the foundations and applications of non-Hermitian
classical and quantum physics. First, key theorems and central concepts in
non-Hermitian linear algebra, including Jordan normal form, biorthogonality,
exceptional points, pseudo-Hermiticity and parity-time symmetry, are
delineated in a pedagogical and mathematically coherent manner. Building on
these, we provide an overview of how diverse classical systems, ranging from
photonics, mechanics, electrical circuits, acoustics to active matter, can be
used to simulate non-Hermitian wave physics. In particular, we discuss rich
and unique phenomena found therein, such as unidirectional invisibility,
enhanced sensitivity, topological energy transfer, coherent perfect
absorption, single-mode lasing, and robust biological transport. We then
explain in detail how non-Hermitian operators emerge as an effective
description of open quantum systems on the basis of the Feshbach projection
approach and the quantum trajectory approach. We discuss their applications
to physical systems relevant to a variety of fields, including atomic,
molecular and optical physics, mesoscopic physics, and nuclear physics with
emphasis on prominent phenomena/subjects in quantum regimes, such as quantum
resonances, superradiance, continuous quantum Zeno effect, quantum critical
phenomena, Dirac spectra in quantum chromodynamics, and nonunitary conformal
field theories. Finally, we introduce the notion of band topology in complex
spectra of non-Hermitian systems and present their classifications by
providing the proof, firstly given by this review in a complete manner, as
well as a number of instructive examples. Other topics related to
non-Hermitian physics, including nonreciprocal transport, speed limits,
nonunitary quantum walk, are also reviewed.
BibTeX:
@article{Ashida2020vol,
  author = {Yuto Ashida and Zongping Gong and Masahito Ueda},
  title = {Non-Hermitian Physics},
  year = {2020}
}
Herpich, T., Cossetto, T., Falasco, G. and Esposito, M. Stochastic thermodynamics of all-to-all interacting many-body systems 2020 New Journal of Physics
Vol. 22(6), pp. 063005 
article DOI  
BibTeX:
@article{Herpich2020vol22,
  author = {Tim Herpich and Tommaso Cossetto and Gianmaria Falasco and Massimiliano Esposito},
  title = {Stochastic thermodynamics of all-to-all interacting many-body systems},
  journal = {New Journal of Physics},
  publisher = {IOP Publishing},
  year = {2020},
  volume = {22},
  number = {6},
  pages = {063005},
  doi = {https://doi.org/10.1088/1367-2630/ab882f}
}
Vroylandt, H., Esposito, M. and Verley, G. Efficiency Fluctuations of Stochastic Machines Undergoing a Phase Transition 2020 Phys. Rev. Lett.
Vol. 124(25) 
article DOI URL 
Abstract: We study the efficiency fluctuations of a stochastic heat engine made of N interacting unicyclic machines and undergoing a phase transition in the macroscopic limit. Depending on N and on the observation time, the machine can explore its whole phase space or not. This affects the engine efficiency that either strongly fluctuates on a large interval of equiprobable efficiencies (ergodic case) or fluctuates close to several most likely values (nonergodic case). We also provide a proof that despite the phase transition, the decay rate of the efficiency distribution at the reversible efficiency remains the largest one although other efficiencies can now decay equally fast.
BibTeX:
@article{Vroylandt2020vol124,
  author = {Hadrien Vroylandt and Massimiliano Esposito and Gatien Verley},
  title = {Efficiency Fluctuations of Stochastic Machines Undergoing a Phase Transition},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society (APS)},
  year = {2020},
  volume = {124},
  number = {25},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Vroylandt2020vol124.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Vroylandt2020vol124.pdf},
  doi = {https://doi.org/10.1103/physrevlett.124.250603}
}
Caillol, J.-M. A symplectic integrator for molecular dynamics on a hypersphere 2020 Condensed Matter Physics
Vol. 23(2), pp. 23603 
article DOI  
BibTeX:
@article{Caillol2020vol23,
  author = {J.-M. Caillol},
  title = {A symplectic integrator for molecular dynamics on a hypersphere},
  journal = {Condensed Matter Physics},
  publisher = {Institute for Condensed Matter Physics},
  year = {2020},
  volume = {23},
  number = {2},
  pages = {23603},
  doi = {https://doi.org/10.5488/cmp.23.23603}
}
Fujii, K., Hayakawa, H., Hino, Y. and Takahashi, K. Full counting statistics and fluctuation-dissipation relation for periodically driven systems 2020   article  
Abstract: We derive the fluctuation theorem for a stochastic and periodically driven
system coupled to two reservoirs with the aid of a master equation. We write
down the cumulant generating functions for both the current and entropy
production in closed compact forms so as to treat the adiabatic and
nonadiabatic contributions systematically. We derive the fluctuation theorem
by taking into account the property that the instantaneous currents flowing
into the left and the right reservoir are not equal. It is found that the
fluctuation-dissipation relation derived from the fluctuation theorem
involves an expansion with respect to the time derivative of the affinity in
addition to the standard contribution.
BibTeX:
@article{Fujii2020vol,
  author = {Keisuke Fujii and Hisao Hayakawa and Yuki Hino and Kazutaka Takahashi},
  title = {Full counting statistics and fluctuation-dissipation relation for periodically driven systems},
  year = {2020}
}
Mintchev, M. and Sorba, P. Entropy Production in Systems with Spontaneously Broken Time-Reversal 2020   article  
Abstract: We study the entropy production in non-equilibrium quantum systems without
dissipation, which is generated exclusively by the spontaneous breaking of
time-reversal invariance. Systems which preserve the total energy and
particle number and are in contact with two heat reservoirs are analysed.
Focussing on point-like interactions, we derive the probability distribution
induced by the entropy production operator. We show that all its moments are
positive in the zero frequency limit. The analysis covers both Fermi and Bose
statistics.
BibTeX:
@article{Mintchev2020vol,
  author = {Mihail Mintchev and Paul Sorba},
  title = {Entropy Production in Systems with Spontaneously Broken Time-Reversal},
  year = {2020}
}
Smith, Z., Pal, P.S. and Deffner, S. Endoreversible Otto engines at maximal power 2020   article  
Abstract: Despite its idealizations, thermodynamics has proven its power as a
predictive theory for practical applications. In particular, the
Curzon-Ahlborn efficiency provides a benchmark for any real engine operating
at maximal power. Here we further develop the analysis of endoreversible Otto
engines. For a generic class of working mediums, whose internal energy is
proportional to some power of the temperature, we find that no engine can
achieve the Carnot efficiency at finite power. However, we also find that for
the specific example of photonic engines the efficiency at maximal power is
larger than the Curzon-Ahlborn efficiency.
BibTeX:
@article{Smith2020vol,
  author = {Zackary Smith and P. S. Pal and Sebastian Deffner},
  title = {Endoreversible Otto engines at maximal power},
  year = {2020}
}
Wolpert, D.H. Fluctuation theorems for multipartite processes 2020   article  
Abstract: Many systems are naturally modeled as multiple co-evolving subsystems. In
this paper I analyze the stochastic thermodynamics of such systems,
formalizing them as multipartite processes. In many multipartite processes
the rate matrix of each subsystem i only depends on a proper subset of the
remaining subsystems, known as the neighborhood of i. The
intersections among the neighborhoods of the different subsystems forms a
network. Here I derive fluctuation theorems (FTs) for multipartite processes,
formulated in terms of this neighborhood network. I first derive several
vector FTs, governing the joint probability of the entropy
production (EP) of all of the neighborhoods. These vector FTs in turn imply a
set of conditional FTs, for the probability of the overall system's EP
conditioned on the EP of any single neighborhood. Some of these FTs involve
extensions of mutual information, to characterize the statistical coupling
among the neighborhoods induced by the neighborhood network.
BibTeX:
@article{Wolpert2020vol,
  author = {David H. Wolpert},
  title = {Fluctuation theorems for multipartite processes},
  year = {2020}
}
Hasegawa, Y. Thermodynamic uncertainty relation for open quantum systems 2020   article  
Abstract: We derive a thermodynamic uncertainty relation for general open quantum
systems. Open quantum dynamics can be described by a joint unitary evolution
on a composite system consisting of system and environment. By considering
the environmental state after the interaction, we bound counting observables
on the environment by a generalized dynamical activity, which is a quantum
analogue of the quantity in classical Markov processes. Remarkably, our
relation holds for any open quantum systems, any counting observables, and
any initial states. We apply our relation to the continuous measurement on
open quantum systems to find that the quantumness of the system can enhance
the precision.
BibTeX:
@article{Hasegawa2020vol,
  author = {Yoshihiko Hasegawa},
  title = {Thermodynamic uncertainty relation for open quantum systems},
  year = {2020}
}
Yunt, E., Fadaie, M., Müstecapliogdlu, Ö.E. and Smith, C.M. Topological Friction in a Kitaev Chain Heat Engine 2020   article  
Abstract: We investigate a heat engine with a finite-length Kitaev chain in an ideal
Otto cycle. It is found that the critical point of the topological phase
transition coincides with the maxima of the efficiency and work output of the
total Otto engine. Finite size effects are taken into account using the
method of Hill's nanothermodynamics, as well as using the method of
temperature-dependent energy levels. We identify the bulk and boundary
thermal cycles of the Kitaev chain engine and find that they are non-ideal
Otto cycles. The physics of deviation from ideal Otto cycle is identified as
a finite size effect, which we dub as "topological friction", leading to heat
transfer from the bulk to the boundary during adiabatic transformation of the
whole system. Besides, we have determined the regimes allowing for
independently running an ideal Otto refrigerator at the boundary and ideal
Otto engines in the bulk and in the whole system. Furthermore, we show that
the first-order phase transition in the boundary and the second-order phase
transition in the bulk can be identified through their respective
contributions to the engine work output.
BibTeX:
@article{Yunt2020vol,
  author = {Elif Yunt and Mojde Fadaie and Özgür E. Müstecapliogdlu and Cristiane Morais Smith},
  title = {Topological Friction in a Kitaev Chain Heat Engine},
  year = {2020}
}
Chabane, L., Chétrite, R. and Verley, G. Periodically driven jump processes conditioned on large deviations 2020 J. Stat. Mech: Theory Exp.
Vol. 2020(3), pp. 033208 
article DOI URL 
Abstract: We study the fluctuations of systems modeled by time periodically driven Markov jump processes. We focus on observables defined through time-periodic functions of the system's states or transitions. Using large deviation theory, canonical biasing and Doob transform, we characterize the asymptotic fluctuations of such observables after a large number of periods by obtaining the Markov process that produces them. We show that this process, called driven process, is the optimizer under constraint of the large deviation function for occupation and jumps.
BibTeX:
@article{Chabane_2020,
  author = {Lydia Chabane and Raphaël Chétrite and Gatien Verley},
  title = {Periodically driven jump processes conditioned on large deviations},
  journal = {J. Stat. Mech: Theory Exp.},
  publisher = {IOP Publishing},
  year = {2020},
  volume = {2020},
  number = {3},
  pages = {033208},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Chabane_2020vol.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Chabane_2020vol.pdf},
  doi = {https://doi.org/10.1088/1742-5468/ab74c4}
}
Dechant, A. and Sasa, S.-i. Fluctuation-response inequality out of equilibrium 2020 Proceedings of the National Academy of Sciences
Vol. 117(12), pp. 6430-6436 
article DOI  
BibTeX:
@article{Dechant_2020,
  author = {Dechant, Andreas and Sasa, Shin-ichi},
  title = {Fluctuation-response inequality out of equilibrium},
  journal = {Proceedings of the National Academy of Sciences},
  publisher = {Proceedings of the National Academy of Sciences},
  year = {2020},
  volume = {117},
  number = {12},
  pages = {6430--6436},
  doi = {https://doi.org/10.1073/pnas.1918386117}
}
Lee, J.S., Park, J.-M. and Park, H. Exactly solvable two-terminal heat engine with asymmetric Onsager coefficients: Origin of the power-efficiency bound 2020 arXiv:2003.01869 [cond-mat]  article URL 
Abstract: An engine producing a finite power at the ideal (Carnot) efficiency is a
dream engine, which is not prohibited by the thermodynamic second law. Some
years ago, a two-terminal heat engine with {\textbackslash}em asymmetric\
Onsager coefficients in the linear response regime was suggested by Benenti,
Saito, and Casati [Phys. Rev. Lett. {\textbackslash}bf 106\, 230602
(2011)], as a prototypical system to make such a dream come true with
non-divergent system parameter values. However, such a system has never been
realized in spite of many trials. Here, we introduce an exactly solvable
two-terminal Brownian heat engine with the asymmetric Onsager coefficients in
the presence of a Lorenz (magnetic) force. Nevertheless, we show that the
dream engine regime cannot be accessible even with the asymmetric Onsager
coefficients, due to an instability keeping the engine from reaching its
steady state. This is consistent with recent trade-off relations between the
engine power and efficiency, where the (cyclic) steady-state condition is
implicitly presumed. We conclude that the inaccessibility to the dream engine
originates from the steady-state constraint on the engine.
BibTeX:
@article{Lee2020vol,
  author = {Lee, Jae Sung and Park, Jong-Min and Park, Hyunggyu},
  title = {Exactly solvable two-terminal heat engine with asymmetric Onsager coefficients: Origin of the power-efficiency bound},
  journal = {arXiv:2003.01869 [cond-mat]},
  year = {2020},
  note = {arXiv: 2003.01869},
  url = {http://arxiv.org/abs/2003.01869}
}
Maes, C. Frenesy: Time-symmetric dynamical activity in nonequilibria 2020 Physics Reports
Vol. 850, pp. 1-33 
article DOI URL 
BibTeX:
@article{Maes2020vol850,
  author = {Christian Maes},
  title = {Frenesy: Time-symmetric dynamical activity in nonequilibria},
  journal = {Physics Reports},
  publisher = {Elsevier BV},
  year = {2020},
  volume = {850},
  pages = {1--33},
  url = {http://www.sciencedirect.com/science/article/pii/S0370157320300120},
  doi = {https://doi.org/10.1016/j.physrep.2020.01.002}
}
Herpich, T., Shayanfard, K. and Esposito, M. Effective thermodynamics of two interacting underdamped Brownian particles 2020 Physical Review E
Vol. 101(2) 
article DOI  
BibTeX:
@article{Herpich2020vol101,
  author = {Tim Herpich and Kamran Shayanfard and Massimiliano Esposito},
  title = {Effective thermodynamics of two interacting underdamped Brownian particles},
  journal = {Physical Review E},
  publisher = {American Physical Society (APS)},
  year = {2020},
  volume = {101},
  number = {2},
  doi = {https://doi.org/10.1103/physreve.101.022116}
}
Lazarescu, A. Einstein's fluctuation relation and Gibbs states far from equilibrium 2020   article  
Abstract: We examine a class of one-dimensional lattice-gases characterised by a gradient condition which guarantees the existence of Gibbs-type homogeneous stationary states. We show how, defining appropriate boundary conditions, this leads to a special symmetry of the system under time and space reversal which, rephrased in terms of the large deviations function of stationary currents of conserved quantities, yields a novel fluctuation relation under reservoir exchange, unrelated to the Gallavotti-Cohen symmetry. We then show that this relation can be interpreted as a nonequilibrium and nonlinear generalisation Einstein's relation, leading to Onsager reciprocity relations in the limit of a small reservoir imbalance. Finally, we illustrate our results with two examples.
BibTeX:
@article{Lazarescu2020vol,
  author = {Alexandre Lazarescu},
  title = {Einstein's fluctuation relation and Gibbs states far from equilibrium},
  year = {2020}
}
Bernard, J. Turbomachines a fluides incompressibles 2020   book  
Comment: Nombreux exercices sur les pompes, turbines et éoliennes
BibTeX:
@book{Bernard2020vol,
  author = {Jacques Bernard},
  title = {Turbomachines a fluides incompressibles},
  publisher = {Ellipses},
  year = {2020}
}
Bouchet, F. Is the Boltzmann equation reversible? A large deviation perspective on the irreversibility paradox 2020   article  
BibTeX:
@article{Bouchet2020vol,
  author = {Freddy Bouchet},
  title = {Is the Boltzmann equation reversible? A large deviation perspective on the irreversibility paradox},
  year = {2020}
}
Julia Cagé Libres et égaux en voix 2020   book  
BibTeX:
@book{Cage2020vol,
  author = {Julia Cagé},
  title = {Libres et égaux en voix},
  year = {2020}
}
Falasco, G. and Esposito, M. The dissipation-time uncertainty relation 2020   article  
BibTeX:
@article{Falasco2020vol,
  author = {Gianmaria Falasco and Massimiliano Esposito},
  title = {The dissipation-time uncertainty relation},
  year = {2020}
}
Gilbert, P. Géomimétisme - Réguler le changement climatique grace a la nature 2020   book  
BibTeX:
@book{Gilbert2020vol,
  author = {Pierre Gilbert},
  title = {Géomimétisme - Réguler le changement climatique grace a la nature},
  year = {2020}
}
Gómez Díaz, Daniel Study and analysis of the use of wind power for the propulsion of merchant vessels. Case study. 2020 School: Polytechnic University of Catalonia  phdthesis URL 
BibTeX:
@phdthesis{GomezDiaz2020vol,
  author = {Gómez Díaz, Daniel},
  title = {Study and analysis of the use of wind power for the propulsion of merchant vessels. Case study.},
  school = {Polytechnic University of Catalonia},
  year = {2020},
  url = {http://hdl.handle.net/2117/187299}
}
Herpich, T., Cossetto, T., Falasco, G. and Esposito, M. Stochastic thermodynamics of all-to-all interacting many-body systems 2020
Vol. 22 
article  
BibTeX:
@article{Herpich2020vol22,
  author = {Tim Herpich and Tommaso Cossetto and Gianmaria Falasco and Massimiliano Esposito},
  title = {Stochastic thermodynamics of all-to-all interacting many-body systems},
  year = {2020},
  volume = {22}
}
Holubec, V. and Ye, Z. Maximum efficiency of low-dissipation refrigerators at arbitrary cooling power 2020   article  
BibTeX:
@article{Holubec2020vol,
  author = {Viktor Holubec and Zhuolin Ye},
  title = {Maximum efficiency of low-dissipation refrigerators at arbitrary cooling power},
  year = {2020}
}
Pal, P.S. and Deffner, S. Stochastic thermodynamics of relativistic Brownian motion 2020   article  
BibTeX:
@article{Pal2020vol,
  author = {P. S. Pal and Sebastian Deffner},
  title = {Stochastic thermodynamics of relativistic Brownian motion},
  year = {2020}
}
Polettini, M. Fluctuation-dissipation supersymmetry 2020   article  
BibTeX:
@article{Polettini2020vol,
  author = {Matteo Polettini},
  title = {Fluctuation-dissipation supersymmetry},
  year = {2020}
}
Rax, J.-M. Mécanique analytique : Adiabaticité, résonances, chaos 2020   book  
BibTeX:
@book{Rax2020vol,
  author = {Jean-Marcel Rax},
  title = {Mécanique analytique : Adiabaticité, résonances, chaos},
  publisher = {Dunod (Malakoff)},
  year = {2020}
}
Royall, C.P., Turci, F. and Speck, T. Dynamical Phase Transitions and their Relation to Thermodynamic Glass Physics 2020   misc  
BibTeX:
@misc{Royall2020vol,
  author = {C. Patrick Royall and Francesco Turci and Thomas Speck},
  title = {Dynamical Phase Transitions and their Relation to Thermodynamic Glass Physics},
  year = {2020}
}
Yuvan, S. and Bier, M. Phase Transitions and Entropies for Synchronizing Oscillators 2020   article URL 
BibTeX:
@article{Yuvan2020vol,
  author = {Steven Yuvan and Martin Bier},
  title = {Phase Transitions and Entropies for Synchronizing Oscillators},
  year = {2020},
  url = {https://arxiv.org/abs/2003.02624}
}
Goupil, C. and Herbert, E. Adapted or Adaptable: How to Manage Entropy Production? 2019 Entropy
Vol. 22(1), pp. 29 
article DOI URL 
BibTeX:
@article{Goupil_2019,
  author = {Goupil, Christophe and Herbert, Eric},
  title = {Adapted or Adaptable: How to Manage Entropy Production?},
  journal = {Entropy},
  publisher = {MDPI AG},
  year = {2019},
  volume = {22},
  number = {1},
  pages = {29},
  url = {http://dx.doi.org/10.3390/e22010029},
  doi = {https://doi.org/10.3390/e22010029}
}
Peterson, J.P.S., Batalhão, T.B., Herrera, M., Souza, A.M., Sarthour, R.S., Oliveira, I.S. and Serra, R.M. Experimental Characterization of a Spin Quantum Heat Engine 2019 Phys. Rev. Lett.
Vol. 123, pp. 240601 
article DOI URL 
BibTeX:
@article{Peterson2019vol123,
  author = {Peterson, John P. S. and Batalhão, Tiago B. and Herrera, Marcela and Souza, Alexandre M. and Sarthour, Roberto S. and Oliveira, Ivan S. and Serra, Roberto M.},
  title = {Experimental Characterization of a Spin Quantum Heat Engine},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2019},
  volume = {123},
  pages = {240601},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.123.240601},
  doi = {https://doi.org/10.1103/PhysRevLett.123.240601}
}
Cugliandolo, L.F., Lecomte, V. and van Wijland, F. Building a path-integral calculus: a covariant discretization approach 2019 Journal of Physics A: Mathematical and Theoretical
Vol. 52(50), pp. 50LT01 
article DOI  
BibTeX:
@article{Cugliandolo2019vol52,
  author = {Leticia F Cugliandolo and Vivien Lecomte and Frédéric van Wijland},
  title = {Building a path-integral calculus: a covariant discretization approach},
  journal = {Journal of Physics A: Mathematical and Theoretical},
  publisher = {IOP Publishing},
  year = {2019},
  volume = {52},
  number = {50},
  pages = {50LT01},
  doi = {https://doi.org/10.1088/1751-8121/ab3ad5}
}
Baek, Y., Kafri, Y. and Lecomte, V. Finite-size and finite-time effects in large deviation functions near dynamical symmetry breaking transitions 2019 Journal of Statistical Mechanics: Theory and Experiment
Vol. 2019(10), pp. 103202 
article DOI  
BibTeX:
@article{Baek2019vol2019,
  author = {Yongjoo Baek and Yariv Kafri and Vivien Lecomte},
  title = {Finite-size and finite-time effects in large deviation functions near dynamical symmetry breaking transitions},
  journal = {Journal of Statistical Mechanics: Theory and Experiment},
  publisher = {IOP Publishing},
  year = {2019},
  volume = {2019},
  number = {10},
  pages = {103202},
  doi = {https://doi.org/10.1088/1742-5468/ab43d5}
}
Houchmandzadeh, B. Large deviation of long time average for a stochastic process : an alternative method 2019 arXiv e-prints, pp. arXiv:1910.07202  article  
BibTeX:
@article{Houchmandzadeh2019vol,
  author = {Houchmandzadeh, Bahram},
  title = {Large deviation of long time average for a stochastic process : an alternative method},
  journal = {arXiv e-prints},
  year = {2019},
  pages = {arXiv:1910.07202}
}
Ito, K., Jiang, C. and Watanabe, G. Universal Bounds for Fluctuations in Quasistatic Small Heat Engines 2019 arXiv e-prints, pp. arXiv:1910.08096  article  
BibTeX:
@article{Ito2019vol,
  author = {Ito, Kosuke and Jiang, Chao and Watanabe, Gentaro},
  title = {Universal Bounds for Fluctuations in Quasistatic Small Heat Engines},
  journal = {arXiv e-prints},
  year = {2019},
  pages = {arXiv:1910.08096}
}
Jack, R.L. Ergodicity and large deviations in physical systems with stochastic dynamics 2019 arXiv e-prints, pp. arXiv:1910.09883  article  
BibTeX:
@article{Jack2019vol,
  author = {Jack, Robert L.},
  title = {Ergodicity and large deviations in physical systems with stochastic dynamics},
  journal = {arXiv e-prints},
  year = {2019},
  pages = {arXiv:1910.09883}
}
Ruggiero, P., Calabrese, P., Doyon, B. and Dubail, J. Quantum Generalized Hydrodynamics 2019 arXiv e-prints, pp. arXiv:1910.00570  article  
BibTeX:
@article{Ruggiero2019vol,
  author = {Ruggiero, Paola and Calabrese, Pasquale and Doyon, Benjamin and Dubail, Jerome},
  title = {Quantum Generalized Hydrodynamics},
  journal = {arXiv e-prints},
  year = {2019},
  pages = {arXiv:1910.00570}
}
Vroylandt, H., Proesmans, K. and Gingrich, T.R. Isometric Uncertainty Relations 2019 arXiv e-prints, pp. arXiv:1910.01086  article  
BibTeX:
@article{Vroylandt2019vola,
  author = {Vroylandt, Hadrien and Proesmans, Karel and Gingrich, Todd R.},
  title = {Isometric Uncertainty Relations},
  journal = {arXiv e-prints},
  year = {2019},
  pages = {arXiv:1910.01086}
}
McClellan, G.E. Using Raising and Lowering Operators from Geometric Algebra for Electroweak Theory in Particle Physics 2019 Advances in Applied Clifford Algebras
Vol. 29(5) 
article DOI  
BibTeX:
@article{McClellan2019vol29,
  author = {Gene E. McClellan},
  title = {Using Raising and Lowering Operators from Geometric Algebra for Electroweak Theory in Particle Physics},
  journal = {Advances in Applied Clifford Algebras},
  publisher = {Springer Science and Business Media LLC},
  year = {2019},
  volume = {29},
  number = {5},
  doi = {https://doi.org/10.1007/s00006-019-1002-z}
}
Minami, Y. and Sasa, S.-i. Thermodynamic entropy as a Noether invariant in a Langevin equation 2019 arXiv e-prints, pp. arXiv:1909.13205  article  
BibTeX:
@article{Minami2019vol,
  author = {Minami, Yuki and Sasa, Shin-ichi},
  title = {Thermodynamic entropy as a Noether invariant in a Langevin equation},
  journal = {arXiv e-prints},
  year = {2019},
  pages = {arXiv:1909.13205}
}
Vastola, J.J. and Holmes, W.R. Stochastic path integrals can be derived like quantum mechanical path integrals 2019 arXiv e-prints, pp. arXiv:1909.12990  article  
BibTeX:
@article{Vastola2019vol,
  author = {Vastola, John J. and Holmes, William R.},
  title = {Stochastic path integrals can be derived like quantum mechanical path integrals},
  journal = {arXiv e-prints},
  year = {2019},
  pages = {arXiv:1909.12990}
}
Barato, A.C., Chétrite, R., Faggionato, A. and Gabrielli, D. A unifying picture of generalized thermodynamic uncertainty relations 2019 Journal of Statistical Mechanics: Theory and Experiment
Vol. 2019(8), pp. 084017 
article DOI  
BibTeX:
@article{Barato2019vol2019,
  author = {A C Barato and R Chétrite and A Faggionato and D Gabrielli},
  title = {A unifying picture of generalized thermodynamic uncertainty relations},
  journal = {Journal of Statistical Mechanics: Theory and Experiment},
  publisher = {IOP Publishing},
  year = {2019},
  volume = {2019},
  number = {8},
  pages = {084017},
  doi = {https://doi.org/10.1088/1742-5468/ab3457}
}
Gallavotti, G. Nonequilibrium and Fluctuation Relation 2019 Journal of Statistical Physics
Vol. 180(1-6), pp. 172-226 
article DOI  
BibTeX:
@article{Gallavotti2019vol180,
  author = {Gallavotti, Giovanni},
  title = {Nonequilibrium and Fluctuation Relation},
  journal = {Journal of Statistical Physics},
  publisher = {Springer Science and Business Media LLC},
  year = {2019},
  volume = {180},
  number = {1-6},
  pages = {172--226},
  doi = {https://doi.org/10.1007/s10955-019-02376-3}
}
Kleeman, R. A non-equilibrium theoretical framework for statistical physics with application to turbulent systems and their predictability 2019 arXiv e-prints, pp. arXiv:1908.01066  article  
BibTeX:
@article{Kleeman2019vol,
  author = {Kleeman, Richard},
  title = {A non-equilibrium theoretical framework for statistical physics with application to turbulent systems and their predictability},
  journal = {arXiv e-prints},
  year = {2019},
  pages = {arXiv:1908.01066}
}
Penocchio, E., Rao, R. and Esposito, M. Thermodynamic efficiency in dissipative chemistry 2019 Nature Communications
Vol. 10(1) 
article DOI  
BibTeX:
@article{Penocchio2019vol10,
  author = {Emanuele Penocchio and Riccardo Rao and Massimiliano Esposito},
  title = {Thermodynamic efficiency in dissipative chemistry},
  journal = {Nature Communications},
  publisher = {Springer Science and Business Media LLC},
  year = {2019},
  volume = {10},
  number = {1},
  doi = {https://doi.org/10.1038/s41467-019-11676-x}
}
Zatloukal, V. Real spinors and real Dirac equation 2019   article  
Abstract: We reexamine the minimal coupling procedure in the Hestenes' geometric
algebra formulation of the Dirac equation, where spinors are identified with
the even elements of the real Clifford algebra of spacetime. This point of
view, as we argue, leads naturally to a non-Abelian generalisation of the
electromagnetic gauge potential.
BibTeX:
@article{Zatloukal2019vol,
  author = {Vaclav Zatloukal},
  title = {Real spinors and real Dirac equation},
  year = {2019}
}
Falasco, G., Cossetto, T., Penocchio, E. and Esposito, M. Negative differential response in chemical reactions 2019 New Journal of Physics
Vol. 21(7), pp. 073005 
article DOI  
BibTeX:
@article{Falasco2019vol21,
  author = {Gianmaria Falasco and Tommaso Cossetto and Emanuele Penocchio and Massimiliano Esposito},
  title = {Negative differential response in chemical reactions},
  journal = {New Journal of Physics},
  publisher = {IOP Publishing},
  year = {2019},
  volume = {21},
  number = {7},
  pages = {073005},
  doi = {https://doi.org/10.1088/1367-2630/ab28be}
}
Kosower, D.A. Introduction to scattering amplitudes 2019 Integrability: From Statistical Systems to Gauge Theory, pp. 183-204  incollection DOI  
BibTeX:
@incollection{Kosower2019vol,
  author = {David A. Kosower},
  title = {Introduction to scattering amplitudes},
  booktitle = {Integrability: From Statistical Systems to Gauge Theory},
  publisher = {Oxford University PressOxford},
  year = {2019},
  pages = {183--204},
  doi = {https://doi.org/10.1093/oso/9780198828150.003.0004}
}
Uhl, M. and Seifert, U. Affinity-dependent bound on the spectrum of stochastic matrices 2019 arXiv e-prints, pp. arXiv:1907.04260  article  
BibTeX:
@article{Uhl2019vol,
  author = {Uhl, Matthias and Seifert, Udo},
  title = {Affinity-dependent bound on the spectrum of stochastic matrices},
  journal = {arXiv e-prints},
  year = {2019},
  pages = {arXiv:1907.04260}
}
Strasberg, P. Entropy production as change in observational entropy 2019 arXiv, pp. arXiv:1906.09933  article  
BibTeX:
@article{Strasberg2019_vola,
  author = {Strasberg, Philipp},
  title = {Entropy production as change in observational entropy},
  journal = {arXiv},
  year = {2019},
  pages = {arXiv:1906.09933}
}
Strasberg, P. and Winter, A. Stochastic thermodynamics with arbitrary interventions 2019   article  
Abstract: We extend the theory of stochastic thermodynamics in three directions: (i)
instead of a continuously monitored system we consider measurements only at
an arbitrary set of discrete times, (ii) we allow for imperfect measurements
and incomplete information in the description, and (iii) we treat arbitrary
manipulations (e.g. feedback control operations) which are allowed to depend
on the entire measurement record. For this purpose we define for a driven
system in contact with a single heat bath the four key thermodynamic
quantities: internal energy, heat, work and entropy along a single
`trajectory' for a causal model. The first law at the trajectory level and
the second law on average is verified. We highlight the special case of
Bayesian or `bare' measurements (incomplete information, but no average
disturbance) which allows us to compare our theory with the literature and to
derive a general inequality for the estimated free energy difference in
Jarzynksi-type experiments. As a mathematical tool, we prove a classical
version of Stinespring's dilation theorem, which might be of independent
interest.
BibTeX:
@article{Strasberg2019_vol,
  author = {Philipp Strasberg and Andreas Winter},
  title = {Stochastic thermodynamics with arbitrary interventions},
  year = {2019}
}
Vroylandt, H., Lacoste, D. and Verley, G. An ordered set of power-efficiency trade-offs 2019 J. Stat. Mech: Theory Exp.
Vol. 2019(5), pp. 054002 
article DOI URL 
Abstract: In this paper, we derive a number of inequalities which express power-efficiency trade-offs that hold generally for thermodynamic machines operating in non-equilibrium stationary states. One of these inequalities concerns the output power, which is bounded by a quadratic function of the thermodynamic efficiency multiplied by a factor. Different factors can be obtained according to the level of knowledge one has about the underlying dynamics of the machine, they can depend for instance on the covariance of the input flux, the dynamical activity, or the non-equilibrium conductance.
BibTeX:
@article{Vroylandt2019_vol2019,
  author = {Hadrien Vroylandt and David Lacoste and Gatien Verley},
  title = {An ordered set of power-efficiency trade-offs},
  journal = {J. Stat. Mech: Theory Exp.},
  publisher = {IOP Publishing},
  year = {2019},
  volume = {2019},
  number = {5},
  pages = {054002},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Vroylandt2019_vol2019.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Vroylandt2019_vol2019.pdf},
  doi = {https://doi.org/10.1088/1742-5468/ab14d7}
}
Cleuren, B. and Proesmans, K. Stochastic Impedance 2019 arXiv e-prints, pp. arXiv:1904.05854  article  
BibTeX:
@article{Cleuren2019vol,
  author = {Cleuren, Bart and Proesmans, Karel},
  title = {Stochastic Impedance},
  journal = {arXiv e-prints},
  year = {2019},
  pages = {arXiv:1904.05854}
}
Manikandan, S.K., Dabelow, L., Eichhorn, R. and Krishnamurthy, S. Efficiency Fluctuations in Microscopic Machines 2019 Phys. Rev. Lett.
Vol. 122, pp. 140601 
article DOI URL 
BibTeX:
@article{Manikandan2019vol122,
  author = {Manikandan, Sreekanth K. and Dabelow, Lennart and Eichhorn, Ralf and Krishnamurthy, Supriya},
  title = {Efficiency Fluctuations in Microscopic Machines},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2019},
  volume = {122},
  pages = {140601},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.122.140601},
  doi = {https://doi.org/10.1103/PhysRevLett.122.140601}
}
Polettini, M. and Esposito, M. Effective Fluctuation and Response Theory 2019 Journal of Statistical Physics
Vol. 176(1), pp. 94-168 
article DOI  
BibTeX:
@article{Polettini2019vol176,
  author = {Matteo Polettini and Massimiliano Esposito},
  title = {Effective Fluctuation and Response Theory},
  journal = {Journal of Statistical Physics},
  publisher = {Springer Science and Business Media LLC},
  year = {2019},
  volume = {176},
  number = {1},
  pages = {94--168},
  doi = {https://doi.org/10.1007/s10955-019-02291-7}
}
De Decker, Y. Stochastic thermodynamics based on an Einstein-Boltzmann definition of fluctuating entropy 2019 Physical Review E
Vol. 99(3), pp. 032143 
article DOI  
BibTeX:
@article{DeDecker2019vol99,
  author = {De Decker, Yannick},
  title = {Stochastic thermodynamics based on an Einstein-Boltzmann definition of fluctuating entropy},
  journal = {Physical Review E},
  publisher = {American Physical Society (APS)},
  year = {2019},
  volume = {99},
  number = {3},
  pages = {032143},
  doi = {https://doi.org/10.1103/physreve.99.032143}
}
Jacobson, D. and Whitelam, S. Direct evaluation of dynamical large-deviation rate functions using a variational ansatz 2019 arXiv, pp. arXiv:1903.06098  article  
BibTeX:
@article{Jacobson2019_vol,
  author = {Jacobson, Daniel and Whitelam, Stephen},
  title = {Direct evaluation of dynamical large-deviation rate functions using a variational ansatz},
  journal = {arXiv},
  year = {2019},
  pages = {arXiv:1903.06098}
}
Roldán, É. and Vivo, P. Exact Distributions of Currents and Frenesy for Markov Bridges 2019 arXiv, pp. arXiv:1903.08271  article  
BibTeX:
@article{Roldan2019_vol,
  author = {Roldán, Édgar and Vivo, Pierpaolo},
  title = {Exact Distributions of Currents and Frenesy for Markov Bridges},
  journal = {arXiv},
  year = {2019},
  pages = {arXiv:1903.08271}
}
Herpich, T. and Esposito, M. Universality in driven Potts models 2019 Phys. Rev. E
Vol. 99, pp. 022135 
article DOI URL 
BibTeX:
@article{Herpich2019PRE,
  author = {Herpich, Tim and Esposito, Massimiliano},
  title = {Universality in driven Potts models},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2019},
  volume = {99},
  pages = {022135},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.99.022135},
  doi = {https://doi.org/10.1103/PhysRevE.99.022135}
}
Kosower, D.A., Maybee, B. and O'Connell, D. Amplitudes, observables, and classical scattering 2019 Journal of High Energy Physics
Vol. 2019(2) 
article DOI  
BibTeX:
@article{Kosower2019vol2019,
  author = {David A. Kosower and Ben Maybee and Donal O'Connell},
  title = {Amplitudes, observables, and classical scattering},
  journal = {Journal of High Energy Physics},
  publisher = {Springer Science and Business Media LLC},
  year = {2019},
  volume = {2019},
  number = {2},
  doi = {https://doi.org/10.1007/jhep02(2019)137}
}
Proesmans, K. and Horowitz, J. Hysteretic uncertainty relation: Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry 2019 arXiv, pp. arXiv:1902.07008  article  
BibTeX:
@article{Proesmans2019_vol,
  author = {Proesmans, Karel and Horowitz, Jordan},
  title = {Hysteretic uncertainty relation: Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry},
  journal = {arXiv},
  year = {2019},
  pages = {arXiv:1902.07008}
}
Gu, J. and Gaspard, P. Microreversibility, fluctuations, and nonlinear transport in transistors 2019 Physical Review E
Vol. 99(1), pp. 012137 
article DOI  
BibTeX:
@article{Gu2019vol99,
  author = {Gu, Jiayin and Gaspard, Pierr},
  title = {Microreversibility, fluctuations, and nonlinear transport in transistors},
  journal = {Physical Review E},
  publisher = {American Physical Society (APS)},
  year = {2019},
  volume = {99},
  number = {1},
  pages = {012137},
  doi = {https://doi.org/10.1103/physreve.99.012137}
}
Marsland Robert, I., Cui, W. and Horowitz, J. The Thermodynamic Uncertainty Relation in Biochemical Oscillations 2019 arXiv, pp. arXiv:1901.00548  article  
BibTeX:
@article{Marsland2019_vol,
  author = {Marsland, Robert, III and Cui, Wenping and Horowitz, Jordan},
  title = {The Thermodynamic Uncertainty Relation in Biochemical Oscillations},
  journal = {arXiv},
  year = {2019},
  pages = {arXiv:1901.00548}
}
Strasberg, P. and Esposito, M. Non-Markovianity and negative entropy production rates 2019 Physical Review E
Vol. 99(1) 
article DOI  
BibTeX:
@article{Strasberg2019vol99,
  author = {Philipp Strasberg and Massimiliano Esposito},
  title = {Non-Markovianity and negative entropy production rates},
  journal = {Physical Review E},
  publisher = {American Physical Society (APS)},
  year = {2019},
  volume = {99},
  number = {1},
  doi = {https://doi.org/10.1103/physreve.99.012120}
}
Suñé, M. and Imparato, A. Efficiency fluctuations in steady-state machines 2019 Journal of Physics A: Mathematical and Theoretical
Vol. 52(4), pp. 045003 
article DOI URL 
Abstract: We study the statistics of the efficiency in a class of isothermal cyclic
machines with realistic coupling between the internal degrees of freedom. We
derive, under fairly general assumptions, the probability distribution
function for the efficiency. We find that the macroscopic efficiency is
always equal to the most likely efficiency, and it lies in an interval whose
boundaries are universal as they only depend on the input and output
thermodynamic forces, and not on the details of the machine. The machine
achieves the upper boundary of such an interval only in the limit of tight
coupling. Furthermore, we find that the tight coupling limit is a necessary,
yet not sufficient, condition for the engine to perform close to the
reversible efficiency. The reversible efficiency is the least likely
regardless of the coupling strength, in agreement with previous studies. By
using a large deviation formalism for the energy currents we derive a
fluctuation relation for the efficiency which holds for any number of
internal degrees of freedom in the system.
BibTeX:
@article{Sune2019_vol52,
  author = {Marc Suñé and Alberto Imparato},
  title = {Efficiency fluctuations in steady-state machines},
  journal = {Journal of Physics A: Mathematical and Theoretical},
  publisher = {IOP Publishing},
  year = {2019},
  volume = {52},
  number = {4},
  pages = {045003},
  url = {https://doi.org/10.1088%2F1751-8121%2Faaf2f8},
  doi = {https://doi.org/10.1088/1751-8121/aaf2f8}
}
Tizón-Escamilla, N., Lecomte, V. and Bertin, E. Effective driven dynamics for one-dimensional conditioned Langevin processes in the weak-noise limit 2019 Journal of Statistical Mechanics: Theory and Experiment
Vol. 2019(1), pp. 013201 
article DOI  
BibTeX:
@article{TizonEscamilla2019vol2019,
  author = {Nicolás Tizón-Escamilla and Vivien Lecomte and Eric Bertin},
  title = {Effective driven dynamics for one-dimensional conditioned Langevin processes in the weak-noise limit},
  journal = {Journal of Statistical Mechanics: Theory and Experiment},
  publisher = {IOP Publishing},
  year = {2019},
  volume = {2019},
  number = {1},
  pages = {013201},
  doi = {https://doi.org/10.1088/1742-5468/aaeda3}
}
Agranov, T., Krapivsky, P.L. and Meerson, B. Occupation time statistics of a gas of interacting diffusing Particles 2019 arXiv  article  
BibTeX:
@article{Agranov2019_vol,
  author = {Tal Agranov and P. L. Krapivsky and Baruch Meerson},
  title = {Occupation time statistics of a gas of interacting diffusing Particles},
  journal = {arXiv},
  year = {2019}
}
Bonte, J.N. Réinventons la justice fiscale, et recentrons l'État sur ce qu'il sait faire 2019   book  
BibTeX:
@book{Bonte2019vol,
  author = {Jean Noel Bonte},
  title = {Réinventons la justice fiscale, et recentrons l'État sur ce qu'il sait faire},
  year = {2019}
}
Cochet, Y. Devant l'effondrement. Essais de collapsologie 2019   book  
BibTeX:
@book{Cochet2019vol,
  author = {Yves Cochet},
  title = {Devant l'effondrement. Essais de collapsologie},
  year = {2019}
}
Denzler, T. and Lutz, E. Efficiency fluctuations of a quantum Otto engine 2019   misc  
BibTeX:
@misc{Denzler2019vol,
  author = {Tobias Denzler and Eric Lutz},
  title = {Efficiency fluctuations of a quantum Otto engine},
  year = {2019}
}
Doyon, B. Lecture notes on Generalised Hydrodynamics 2019   article  
BibTeX:
@article{Doyon2019vol,
  author = {Benjamin Doyon},
  title = {Lecture notes on Generalised Hydrodynamics},
  year = {2019}
}
Falasco, G., Esposito, M. and Delvenne, J.-C. Unifying Thermodynamic Uncertainty Relations 2019 arXiv, pp. arXiv:1906.11360  article  
BibTeX:
@article{Falasco2019,
  author = {Falasco, Gianmaria and Esposito, Massimiliano and Delvenne, Jean-Charles},
  title = {Unifying Thermodynamic Uncertainty Relations},
  journal = {arXiv},
  year = {2019},
  pages = {arXiv:1906.11360}
}
Feinberg, M. Foundations of Chemical Reaction Network Theory 2019   book DOI  
BibTeX:
@book{Feinberg2019vol,
  author = {Martin Feinberg},
  title = {Foundations of Chemical Reaction Network Theory},
  publisher = {Springer International Publishing},
  year = {2019},
  doi = {https://doi.org/10.1007/978-3-030-03858-8}
}
Grafke, T. and Vanden-Eijnden, E. Numerical computation of rare events via large deviation theory 2019 Chaos: An Interdisciplinary Journal of Nonlinear Science
Vol. 29(6), pp. 063118 
article DOI URL 
BibTeX:
@article{Grafke2019vol29,
  author = {Grafke,Tobias and Vanden-Eijnden,Eric},
  title = {Numerical computation of rare events via large deviation theory},
  journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
  year = {2019},
  volume = {29},
  number = {6},
  pages = {063118},
  url = {https://doi.org/10.1063/1.5084025},
  doi = {https://doi.org/10.1063/1.5084025}
}
Joot, P. Geometric Algebra for Electrical Engineers: Multivector Electromagnetism 2019   book URL 
BibTeX:
@book{Book_Joot2019vol,
  author = {Joot, P.},
  title = {Geometric Algebra for Electrical Engineers: Multivector Electromagnetism},
  publisher = {CreateSpace Independent Publishing Platform},
  year = {2019},
  url = {http://peeterjoot.com/writing/geometric-algebra-for-electrical-engineers/}
}
Lazarescu, A., Cossetto, T., Falasco, G. and Esposito, M. Large deviations and dynamical phase transitions in stochastic chemical networks 2019 J
Vol. 151(6), pp. 064117 
article DOI URL 
BibTeX:
@article{Lazarescu2019vol151,
  author = {Lazarescu,Alexandre and Cossetto,Tommaso and Falasco,Gianmaria and Esposito,Massimiliano},
  title = {Large deviations and dynamical phase transitions in stochastic chemical networks},
  journal = {J},
  year = {2019},
  volume = {151},
  number = {6},
  pages = {064117},
  url = {https://doi.org/10.1063/1.5111110},
  doi = {https://doi.org/10.1063/1.5111110}
}
Luo, R., Benenti, G., Casati, G. and Wang, J. Onsager symmetry for systems with broken time-reversal symmetry 2019   article  
BibTeX:
@article{Luo2019vol,
  author = {Rongxiang Luo and Giuliano Benenti and Giulio Casati and Jiao Wang},
  title = {Onsager symmetry for systems with broken time-reversal symmetry},
  year = {2019}
}
Ma, Y.-H. Effect of finite-size heat source's heat capacity on the efficiency of heat engine 2019   article  
BibTeX:
@article{Ma2019vol,
  author = {Yu-Han Ma},
  title = {Effect of finite-size heat source's heat capacity on the efficiency of heat engine},
  year = {2019}
}
Miomandre, F., Sadki, S., Audebert, P. and Méallet-Renault, R. Électrochimie 2019   book  
BibTeX:
@book{Miomandre2019vol,
  author = {Fabien Miomandre and Saïd Sadki and Pierre Audebert and Rachel Méallet-Renault},
  title = {Électrochimie},
  publisher = {Dunod},
  year = {2019}
}
Serodio, H. and Sjödahl, M. Symmetries and Group Theory, Continuous Groups 2019   unpublished  
BibTeX:
@unpublished{Notes_Serodio2019,
  author = {Hugo Serodio and Malin Sjödahl},
  title = {Symmetries and Group Theory, Continuous Groups},
  year = {2019}
}
Soler, R. L'énergie solaire, des fondamentaux aux techonlogies d'aujourd'hui et de demain 2019   book  
BibTeX:
@book{Soler2019vol,
  author = {Robert Soler},
  title = {L'énergie solaire, des fondamentaux aux techonlogies d'aujourd'hui et de demain},
  publisher = {Édition Lavoisier},
  year = {2019}
}
Suda, T. Construction of Lyapunov functions using Helmholtz–Hodge decomposition 2019 Discrete & Continuous Dynamical Systems - A
Vol. 39(5), pp. 2437-2454 
article DOI  
BibTeX:
@article{Suda2019vol39,
  author = {Tomoharu Suda and},
  title = {Construction of Lyapunov functions using Helmholtz–Hodge decomposition},
  journal = {Discrete & Continuous Dynamical Systems - A},
  publisher = {American Institute of Mathematical Sciences (AIMS)},
  year = {2019},
  volume = {39},
  number = {5},
  pages = {2437--2454},
  doi = {https://doi.org/10.3934/dcds.2019103}
}
Tsekov, R. Brownian Motion and Quantum Mechanics 2019 Arxiv  article  
Abstract: A theoretical parallel between the classical Brownian motion and quantum
mechanics is explored. It is shown that, in contrast to the classical
Langevin force, quantum mechanics is driven by turbulent velocity
fluctuations with diffusive behavior. In the case of simultaneous action of
the two stochastic sources, the quantum Brownian motion takes place, which is
theoretically described as well.
BibTeX:
@article{Tsekov2019_vol,
  author = {Roumen Tsekov},
  title = {Brownian Motion and Quantum Mechanics},
  journal = {Arxiv},
  year = {2019}
}
te Vrugt, M. and Wittkowski, R. Projection operators in statistical mechanics: a pedagogical approach 2019   misc  
BibTeX:
@misc{Vrugt2019vol,
  author = {Michael te Vrugt and Raphael Wittkowski},
  title = {Projection operators in statistical mechanics: a pedagogical approach},
  year = {2019}
}
Wolpert, D.H. Overview of Information Theory, Computer Science Theory, and Stochastic Thermodynamics for Thermodynamics of Computation 2019 arXiv  article  
BibTeX:
@article{Wolpert2019_vol,
  author = {David H. Wolpert},
  title = {Overview of Information Theory, Computer Science Theory, and Stochastic Thermodynamics for Thermodynamics of Computation},
  journal = {arXiv},
  year = {2019}
}
Zhang, F., Xu, L. and Wang, J. The dynamical and thermodynamical origin of dissipative chaos 2019   misc  
BibTeX:
@misc{Zhang2019vol,
  author = {Feng Zhang and Liufang Xu and Jin Wang},
  title = {The dynamical and thermodynamical origin of dissipative chaos},
  year = {2019}
}
Koyuk, T., Seifert, U. and Pietzonka, P. A generalization of the thermodynamic uncertainty relation to periodically driven systems 2018 Journal of Physics A: Mathematical and Theoretical
Vol. 52(2), pp. 02LT02 
article DOI  
BibTeX:
@article{Koyuk2018_vol,
  author = {Koyuk, Timur and Seifert, Udo and Pietzonka, Patrick},
  title = {A generalization of the thermodynamic uncertainty relation to periodically driven systems},
  journal = {Journal of Physics A: Mathematical and Theoretical},
  publisher = {IOP Publishing},
  year = {2018},
  volume = {52},
  number = {2},
  pages = {02LT02},
  doi = {https://doi.org/10.1088/1751-8121/aaeec4}
}
Gresele, L. and Marsili, M. On Maximum Entropy and Inference 2018 arXiv  article  
BibTeX:
@article{Gresele2018_vol,
  author = {Gresele, L. and Marsili, M.},
  title = {On Maximum Entropy and Inference},
  journal = {arXiv},
  year = {2018}
}
Huang, S.-Z., Liang, X. and Wang, D.-F. An SU(3) Unified Model of Electroweak Interaction Using Generalized Yang-Mills Theory 2018   article  
Abstract: Generalized Yang-Mills theory has a covariant derivative which contains both vector and scalar gauge bosons. Based on this theory, we construct an SU(3) unified model of weak and electromagnetic interactions. By using the NJL mechanism, the symmetry breaking can be realized dynamically. The masses of W,Z are obtained and interactions between various particles are the same as that of Weinberg-Salam (WS) model. At the same time,the Weinberg angle can be given.
BibTeX:
@article{Huang2018vol,
  author = {Si-Zhao Huang and Xiao Liang and Dian-Fu Wang},
  title = {An SU(3) Unified Model of Electroweak Interaction Using Generalized Yang-Mills Theory},
  year = {2018}
}
Nyawo, P.T. and Touchette, H. Dynamical phase transition in drifted Brownian motion 2018 Physical Review E
Vol. 98(5) 
article DOI  
BibTeX:
@article{Nyawo2018_vol98,
  author = {Pelerine Tsobgni Nyawo and Hugo Touchette},
  title = {Dynamical phase transition in drifted Brownian motion},
  journal = {Physical Review E},
  publisher = {American Physical Society (APS)},
  year = {2018},
  volume = {98},
  number = {5},
  doi = {https://doi.org/10.1103/PhysRevE.98.052103}
}
van der Schaft, A. and Maschke, B. Geometry of Thermodynamic Processes 2018 arXiv  article  
BibTeX:
@article{vanderSchaft2018_vol,
  author = {van der Schaft, A. and Maschke, B.},
  title = {Geometry of Thermodynamic Processes},
  journal = {arXiv},
  year = {2018}
}
Bertini, L., Chetrite, R., Faggionato, A. and Gabrielli, D. Level 2.5 Large Deviations for Continuous-Time Markov Chains with Time Periodic Rates 2018 Annales Henri Poincaré
Vol. 19(10), pp. 3197-3238 
article DOI URL 
Abstract: We consider an irreducible continuous-time Markov chain on a finite state
space and with time periodic jump rates and prove the joint large deviation
principle for the empirical measure and flow and the joint large deviation
principle for the empirical measure and current. By contraction, we get the
large deviation principle of three types of entropy production flow. We
derive some Gallavotti--Cohen duality relations and discuss some
applications.
BibTeX:
@article{Bertini2018_vol19,
  author = {Bertini, Lorenzo and Chetrite, Raphael and Faggionato, Alessandra and Gabrielli, Davide},
  title = {Level 2.5 Large Deviations for Continuous-Time Markov Chains with Time Periodic Rates},
  journal = {Annales Henri Poincaré},
  year = {2018},
  volume = {19},
  number = {10},
  pages = {3197--3238},
  url = {https://doi.org/10.1007/s00023-018-0705-3},
  doi = {https://doi.org/10.1007/s00023-018-0705-3}
}
Barato, A.C., Chétrite, R., Faggionato, A. and Gabrielli, D. Bounds on current fluctuations in periodically driven systems 2018 New Journal of Physics
Vol. 20(10), pp. 103023 
article DOI URL 
Abstract: Small nonequilibrium systems in contact with a heat bath can be analyzed with
the framework of stochastic thermodynamics. In such systems, fluctuations,
which are not negligible, follow universal relations such as the fluctuation
theorem. More recently, it has been found that, for nonequilibrium stationary
states, the full spectrum of fluctuations of any thermodynamic current is
bounded by the average rate of entropy production and the average current.
However, this bound does not apply to periodically driven systems, such as
heat engines driven by periodic variation of the temperature and artificial
molecular pumps driven by an external protocol. We obtain a universal bound
on current fluctuations for periodically driven systems. This bound is a
generalization of the known bound for stationary states. In general, the
average rate that bounds fluctuations in periodically driven systems is
different from the rate of entropy production. We also obtain a local bound
on fluctuations that leads to a trade-off relation between speed and
precision in periodically driven systems, which constitutes a generalization
to periodically driven systems of the so called thermodynamic uncertainty
relation. From a technical perspective, our results are obtained with the use
of a recently developed theory for 2.5 large deviations for Markov jump
processes with time-periodic transition rates.
BibTeX:
@article{Barato2018_vol20,
  author = {Andre C Barato and Raphael Chétrite and Alessandra Faggionato and Davide Gabrielli},
  title = {Bounds on current fluctuations in periodically driven systems},
  journal = {New Journal of Physics},
  publisher = {IOP Publishing},
  year = {2018},
  volume = {20},
  number = {10},
  pages = {103023},
  url = {https://doi.org/10.1088%2F1367-2630%2Faae512},
  doi = {https://doi.org/10.1088/1367-2630/aae512}
}
Di Terlizzi, I. and Baiesi, M. Kinetic uncertainty relation 2018 arXiv, pp. arXiv:1809.06410  article  
BibTeX:
@article{DiTerlizzi2018_vol,
  author = {Di Terlizzi, Ivan and Baiesi, Marco},
  title = {Kinetic uncertainty relation},
  journal = {arXiv},
  year = {2018},
  pages = {arXiv:1809.06410}
}
Herpich, T., Thingna, J. and Esposito, M. Collective Power: Minimal Model for Thermodynamics of Nonequilibrium Phase Transitions 2018 Phys. Rev. X
Vol. 8, pp. 031056 
article URL 
BibTeX:
@article{Herpich2018PRX,
  author = {Herpich, Tim and Thingna, Juzar and Esposito, Massimiliano},
  title = {Collective Power: Minimal Model for Thermodynamics of Nonequilibrium Phase Transitions},
  journal = {Phys. Rev. X},
  publisher = {American Physical Society},
  year = {2018},
  volume = {8},
  pages = {031056},
  url = {https://link.aps.org/doi/10.1103/PhysRevX.8.031056}
}
Holubec, V. and Ryabov, A. Cycling Tames Power Fluctuations near Optimum Efficiency 2018 Phys. Rev. Lett.
Vol. 121, pp. 120601 
article DOI URL 
BibTeX:
@article{Holubec2018_vol121,
  author = {Holubec, Viktor and Ryabov, Artem},
  title = {Cycling Tames Power Fluctuations near Optimum Efficiency},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2018},
  volume = {121},
  pages = {120601},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.121.120601},
  doi = {https://doi.org/10.1103/PhysRevLett.121.120601}
}
Katagiri, S. Non-equilibrium thermodynamics as gauge fixing 2018 Progress of Theoretical and Experimental Physics
Vol. 2018(9) 
article DOI  
BibTeX:
@article{Katagiri2018vol2018,
  author = {So Katagiri},
  title = {Non-equilibrium thermodynamics as gauge fixing},
  journal = {Progress of Theoretical and Experimental Physics},
  publisher = {Oxford University Press (OUP)},
  year = {2018},
  volume = {2018},
  number = {9},
  doi = {https://doi.org/10.1093/ptep/pty102}
}
Koyuk, T., Seifert, U. and Pietzonka, P. A generalization of the thermodynamic uncertainty relation to periodically driven systems 2018 arXiv  article  
BibTeX:
@article{Koyuk2018_arxiv,
  author = {Koyuk, T. and Seifert, U. and Pietzonka, P.},
  title = {A generalization of the thermodynamic uncertainty relation to periodically driven systems},
  journal = {arXiv},
  year = {2018}
}
Montefusco, A., Peletier, M. and Öttinger, H. Coarse-graining via the fluctuation-dissipation theorem and large-deviation theory 2018 arXiv  article  
BibTeX:
@article{Montefusco2018_vol,
  author = {Montefusco, A. and Peletier, M. A. and Öttinger, H. C.},
  title = {Coarse-graining via the fluctuation-dissipation theorem and large-deviation theory},
  journal = {arXiv},
  year = {2018}
}
Vroylandt, H. Thermodynamics and fluctuations of small machines 2018 (2018SACLS244)School: Université Paris-Saclay  phdthesis URL 
BibTeX:
@phdthesis{Phdthesis_Vroylandt2018,
  author = {Vroylandt, Hadrien},
  title = {Thermodynamics and fluctuations of small machines},
  school = {Université Paris-Saclay},
  year = {2018},
  number = {2018SACLS244},
  url = {https://tel.archives-ouvertes.fr/tel-01968075}
}
Agoritsas, E., Maimbourg, T. and Zamponi, F. Out-of-equilibrium dynamical equations of infinite-dimensional particle systems 2018 arXiv  article  
BibTeX:
@article{Agoritsas2018_vol,
  author = {Agoritsas, E. and Maimbourg, T. and Zamponi, F.},
  title = {Out-of-equilibrium dynamical equations of infinite-dimensional particle systems},
  journal = {arXiv},
  year = {2018}
}
Cruz, H. Contact Hamiltonian mechanics. An extension of symplectic Hamiltonian mechanics 2018 Journal of Physics: Conference Series
Vol. 1071, pp. 012010 
article DOI  
BibTeX:
@article{Cruz2018vol1071,
  author = {Hans Cruz},
  title = {Contact Hamiltonian mechanics. An extension of symplectic Hamiltonian mechanics},
  journal = {Journal of Physics: Conference Series},
  publisher = {IOP Publishing},
  year = {2018},
  volume = {1071},
  pages = {012010},
  doi = {https://doi.org/10.1088/1742-6596/1071/1/012010}
}
Derrida, B. and Sadhu, T. Large deviations conditioned on large deviations I: Markov chain and Langevin equation 2018 arXiv  article  
BibTeX:
@article{Derrida2018_vol,
  author = {Derrida, B. and Sadhu, T.},
  title = {Large deviations conditioned on large deviations I: Markov chain and Langevin equation},
  journal = {arXiv},
  year = {2018}
}
Ferré, G., Touchette, H., Ferre, G. and Touchette, H. Adaptive Sampling of Large Deviations 2018 J. Stat. Phys.
Vol. {172}({6}), pp. {1525-1544} 
article DOI  
Abstract: We introduce and test an algorithm that adaptively estimates large deviation
functions characterizing the fluctuations of additive functionals of Markov
processes in the long-time limit. These functions play an important role for
predicting the probability and pathways of rare events in stochastic
processes, as well as for understanding the physics of nonequilibrium systems
driven in steady states by external forces and reservoirs. The algorithm uses
methods from risk-sensitive and feedback control to estimate from a single
trajectory a new process, called the driven process, known to be efficient
for importance sampling. Its advantages compared to other simulation
techniques, such as splitting or cloning, are discussed and illustrated with
simple equilibrium and nonequilibrium diffusion models.
BibTeX:
@article{Ferre2018vol172,
  author = {Ferré, G. and Touchette, H. and Ferre, Gregoire and Touchette, Hugo},
  title = {Adaptive Sampling of Large Deviations},
  journal = {J. Stat. Phys.},
  publisher = {SPRINGER},
  year = {2018},
  volume = {172},
  number = {6},
  pages = {1525--1544},
  doi = {https://doi.org/10.1007/s10955-018-2108-8}
}
Shpielberg, O., Nemoto, T. and Caetano, J. Universality in dynamical phase transitions of diffusive systems 2018 arXiv  article  
BibTeX:
@article{Shpielberg2018_vol,
  author = {Shpielberg, O. and Nemoto, T. and Caetano, J.},
  title = {Universality in dynamical phase transitions of diffusive systems},
  journal = {arXiv},
  year = {2018}
}
Dechant, A. and Sasa, S.-i. Entropic bounds on currents in Langevin systems 2018 Phys. Rev. E
Vol. 97, pp. 062101 
article DOI URL 
BibTeX:
@article{Dechant2018_vol97,
  author = {Dechant, Andreas and Sasa, Shin-ichi},
  title = {Entropic bounds on currents in Langevin systems},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2018},
  volume = {97},
  pages = {062101},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.97.062101},
  doi = {https://doi.org/10.1103/PhysRevE.97.062101}
}
Liao, J.G. and Berg, A. Sharpening Jensens Inequality 2018 The American Statistician
Vol. 73(3), pp. 278-281 
article DOI  
BibTeX:
@article{Liao2018vol73,
  author = {J. G. Liao and Arthur Berg},
  title = {Sharpening Jensens Inequality},
  journal = {The American Statistician},
  publisher = {Informa UK Limited},
  year = {2018},
  volume = {73},
  number = {3},
  pages = {278--281},
  doi = {https://doi.org/10.1080/00031305.2017.1419145}
}
Smith, E. and Krishnamurthy, S. Path-reversal, Doi-Peliti generating functionals, and dualities between dynamics and inference for stochastic processes 2018   article DOI  
Abstract: Fluctuation theorems may be partitioned into those that apply the probability measure under the original stochastic process to reversed paths, and those that construct a new, adjoint measure by similarity transform, which locally reverses probability currents. Results that use the original measure have a natural interpretation in terms of time-reversal of the dynamics. Here we develop a general interpretation of fluctuation theorems based on the adjoint process by considering the duality of the Kolmogorov-forward and backward equations, acting on distributions versus observables. The backward propagation of the dependency of observables is related to problems of statistical inference, so we characterize the adjoint construction as a duality between dynamics and inference. The adjoint process corresponds to the Kolmogorov backward equation in a generating functional that erases memory from the dynamics of its underlying distribution. We show how erasure affects general correlation functions by showing that duality under the adjoint fluctuation theorems exchanges the roles of advanced and retarded Green's functions. We derive results for the class of discrete-state stochastic processes corresponding to Chemical Reaction Networks (CRNs), and show that dualization acts on the finite representation of the generating event-set, in a manner similar to the usual similarity transform acting on the (potentially infinite) set of state transitions. We construct generating functionals within the Doi-Peliti (DP) functional integral framework, within which duality transformation takes a remarkably simple form as a change of integration variable. Our Green's function analysis recovers the Extended Fluctuation-Dissipation Theorem of Seifert and Speck for non-equilibrium steady states, shows that the causal structure responsible for it applies also to dualization about non-steady states.
BibTeX:
@article{Smith2018vol,
  author = {Smith, Eric and Krishnamurthy, Supriya},
  title = {Path-reversal, Doi-Peliti generating functionals, and dualities between dynamics and inference for stochastic processes},
  publisher = {arXiv},
  year = {2018},
  doi = {https://doi.org/10.48550/ARXIV.1806.02001}
}
Barato, A.C. and Chétrite, R. Current fluctuations in periodically driven systems 2018 J. Stat. Mech: Theory Exp.
Vol. 2018(5), pp. 053207 
article DOI URL 
BibTeX:
@article{Barato2018_vol2018,
  author = {Andre C Barato and Raphael Chétrite},
  title = {Current fluctuations in periodically driven systems},
  journal = {J. Stat. Mech: Theory Exp.},
  publisher = {IOP Publishing},
  year = {2018},
  volume = {2018},
  number = {5},
  pages = {053207},
  url = {https://doi.org/10.1088%2F1742-5468%2Faabfc5},
  doi = {https://doi.org/10.1088/1742-5468/aabfc5}
}
Barbier, M. and Gaspard, P. Microreversibility, nonequilibrium current fluctuations, and response theory 2018 arXiv  article  
BibTeX:
@article{Barbier2018_vol,
  author = {Barbier, M. and Gaspard, P.},
  title = {Microreversibility, nonequilibrium current fluctuations, and response theory},
  journal = {arXiv},
  year = {2018}
}
Miret-Artés, S. Quantum surface diffusion in Bohmian Mechanics 2018 arXiv  article  
BibTeX:
@article{Miret-Artes2018_vol,
  author = {Miret-Artés, S.},
  title = {Quantum surface diffusion in Bohmian Mechanics},
  journal = {arXiv},
  year = {2018}
}
Pandya, S., Wilbur, J., Kim, J., Gao, R., Dasgupta, A., Dames, C. and Martin, L.W. Pyroelectric energy conversion with large energy and power density in relaxor ferroelectric thin films {2018} NATURE MATERIALS
Vol. {17}({5}), pp. {432+} 
article DOI  
Abstract: The need for efficient energy utilization is driving research into ways to
harvest ubiquitous waste heat. Here, we explore pyroelectric energy
conversion from low-grade thermal sources that exploits strong field-and
temperature-induced polarization susceptibilities in the relaxor
ferroelectric 0.68Pb(Mg1/3Nb2/3)O-3-0.32PbTiO(3). Electric-field-driven
enhancement of the pyroelectric response (as large as -550 mu C m(-2) K-1)
and suppression of the dielectric response (by 72%) yield substantial
figures of merit for pyroelectric energy conversion. Field-and
temperature-dependent pyroelectric measurements highlight the role of
polarization rotation and field-induced polarization in mediating these
effects. Solid-state, thin-film devices that convert low-grade heat into
electrical energy are demonstrated using pyroelectric Ericsson cycles, and
optimized to yield maximum energy density, power density and efficiency of
1.06 J cm(-3), 526 W cm(-3) and 19% of Carnot, respectively; the highest
values reported to date and equivalent to the performance of a thermoelectric
with an effective ZT approximate to 1.16 for a temperature change of 10 K.
Our findings suggest that pyroelectric devices may be competitive with
thermoelectric devices for low-grade thermal harvesting.
BibTeX:
@article{Pandya2018_vol17,
  author = {Pandya, Shishir and Wilbur, Joshua and Kim, Jieun and Gao, Ran and Dasgupta, Arvind and Dames, Chris and Martin, Lane W.},
  title = {Pyroelectric energy conversion with large energy and power density in relaxor ferroelectric thin films},
  journal = {NATURE MATERIALS},
  publisher = {NATURE PUBLISHING GROUP},
  year = {2018},
  volume = {17},
  number = {5},
  pages = {432+},
  doi = {https://doi.org/10.1038/s41563-018-0059-8}
}
Pietzonka, P. and Seifert, U. Universal Trade-Off between Power, Efficiency, and Constancy in Steady-State Heat Engines 2018 Phys. Rev. Lett.
Vol. 120, pp. 190602 
article DOI URL 
BibTeX:
@article{Pietzonka2018_vol120,
  author = {Pietzonka, Patrick and Seifert, Udo},
  title = {Universal Trade-Off between Power, Efficiency, and Constancy in Steady-State Heat Engines},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2018},
  volume = {120},
  pages = {190602},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.120.190602},
  doi = {https://doi.org/10.1103/PhysRevLett.120.190602}
}
Singh, V. and Johal, R. Feynman-Smoluchowski engine at high temperatures and the role of constraints 2018 arXiv  article  
BibTeX:
@article{Singh2018_vol,
  author = {Singh, V. and Johal, R. S.},
  title = {Feynman-Smoluchowski engine at high temperatures and the role of constraints},
  journal = {arXiv},
  year = {2018}
}
Tomé, T. and de Oliveira, M. Stochastic thermodynamics and entropy production of chemical reaction systems 2018 arXiv  article  
BibTeX:
@article{Tome2018_vol,
  author = {Tomé, T. and de Oliveira, M. J.},
  title = {Stochastic thermodynamics and entropy production of chemical reaction systems},
  journal = {arXiv},
  year = {2018}
}
Touchette, H. Introduction to dynamical large deviations of Markov processes 2018 Physica A
Vol. 504, pp. 5-19 
article DOI  
BibTeX:
@article{Touchette2018_vol504,
  author = {Touchette, H.},
  title = {Introduction to dynamical large deviations of Markov processes},
  journal = {Physica A},
  publisher = {Elsevier BV},
  year = {2018},
  volume = {504},
  pages = {5--19},
  doi = {https://doi.org/10.1016/j.physa.2017.10.046}
}
Zatloukal, V. Classical Field Theories from Hamiltonian Constraint: Local Symmetries and Static Gauge Fields 2018 Advances in Applied Clifford Algebras
Vol. 28(2) 
article DOI  
BibTeX:
@article{Zatloukal2018vol28,
  author = {Václav Zatloukal},
  title = {Classical Field Theories from Hamiltonian Constraint: Local Symmetries and Static Gauge Fields},
  journal = {Advances in Applied Clifford Algebras},
  publisher = {Springer Science and Business Media LLC},
  year = {2018},
  volume = {28},
  number = {2},
  doi = {https://doi.org/10.1007/s00006-018-0865-8}
}
Bertin, E. and Vanicat, M. Matrix Product representation of the stationary state of the open Zero Range Process 2018 arXiv  article  
BibTeX:
@article{Bertin2018_vol,
  author = {Bertin, E. and Vanicat, M.},
  title = {Matrix Product representation of the stationary state of the open Zero Range Process},
  journal = {arXiv},
  year = {2018}
}
Deborah Greaves, G.I. Wave and Tidal Energy 2018   book URL 
BibTeX:
@book{2018vol,
  author = {Deborah Greaves, Gregorio Iglesias},
  title = {Wave and Tidal Energy},
  publisher = {John Wiley & Sons},
  year = {2018},
  url = {https://www.ebook.de/de/product/34493534/wave_and_tidal_energy.html}
}
Gondran, M., Gondran, A. and Kenoufi, A. Des trois actions de la mécanique classique à la fonction d'onde en mécanique quantique 2018 21ème Rencontre du non-linéaire 2018  inproceedings URL 
BibTeX:
@inproceedings{Gondran2018vol,
  author = {Gondran, Michel and Gondran, Alexandre and Kenoufi, Abdel},
  title = {Des trois actions de la mécanique classique à la fonction d'onde en mécanique quantique},
  booktitle = {21ème Rencontre du non-linéaire 2018},
  year = {2018},
  url = {https://hal.archives-ouvertes.fr/hal-01961809}
}
Macieszczak, K., Brandner, K. and Garrahan, J. Unified thermodynamic uncertainty relations in linear response 2018 arXiv  article  
BibTeX:
@article{Macieszczak2018_vol,
  author = {Macieszczak, K. and Brandner, K. and Garrahan, J. P.},
  title = {Unified thermodynamic uncertainty relations in linear response},
  journal = {arXiv},
  year = {2018}
}
Kaiser, M., Jack, R.L. and Zimmer, J. Canonical Structure and Orthogonality of Forces and Currents in Irreversible Markov Chains 2018 J. Stat. Phys.  article DOI URL 
Abstract: We discuss a canonical structure that provides a unifying description of
dynamical large deviations for irreversible finite state Markov chains
(continuous time), Onsager theory, and Macroscopic Fluctuation Theory (MFT).
For Markov chains, this theory involves a non-linear relation between
probability currents and their conjugate forces. Within this framework, we
show how the forces can be split into two components, which are orthogonal to
each other, in a generalised sense. This splitting allows a decomposition of
the pathwise rate function into three terms, which have physical
interpretations in terms of dissipation and convergence to equilibrium.
Similar decompositions hold for rate functions at level 2 and level 2.5.
These results clarify how bounds on entropy production and fluctuation
theorems emerge from the underlying dynamical rules. We discuss how these
results for Markov chains are related to similar structures within MFT, which
describes hydrodynamic limits of such microscopic models.
BibTeX:
@article{Kaiser2018_vol,
  author = {Kaiser, Marcus and Jack, Robert L. and Zimmer, Johannes},
  title = {Canonical Structure and Orthogonality of Forces and Currents in Irreversible Markov Chains},
  journal = {J. Stat. Phys.},
  year = {2018},
  url = {https://doi.org/10.1007/s10955-018-1986-0},
  doi = {https://doi.org/10.1007/s10955-018-1986-0}
}
Gil, J.J. Parametrization of 3x3 unitary matrices based on polarization algebra 2018 The European Physical Journal Plus
Vol. 133(5) 
article DOI  
Abstract: A parametrization of 3x3 unitary matrices is presented. This mathematical approach is inspired on polarization algebra and is formulated through the identification of a set of three orthonormal three-dimensional Jones vectors representing the respective pure polarization states. This approach leads to the representation of a 3x3 unitary matrix as an orthogonal similarity transformation of a particular type of unitary matrix that depends on six independent parameters, while the remaining three parameters correspond to the orthogonal matrix of the said transformation. The results obtained are applied to determine the structure of the second component of the characteristic decomposition of a 3x3 positive semidefinite Hermitian matrix.
BibTeX:
@article{Gil2018vol133,
  author = {Gil, Jose J.},
  title = {Parametrization of 3x3 unitary matrices based on polarization algebra},
  journal = {The European Physical Journal Plus},
  publisher = {Springer Science and Business Media LLC},
  year = {2018},
  volume = {133},
  number = {5},
  doi = {https://doi.org/10.1140/epjp/i2018-12032-0}
}
Bracken, P. Cartan frames and algebras with links to integrable systems differential equations and surfaces 2018 Journal of Mathematical Physics
Vol. 59(2), pp. 021504 
article DOI  
BibTeX:
@article{Bracken2018vol59,
  author = {Paul Bracken},
  title = {Cartan frames and algebras with links to integrable systems differential equations and surfaces},
  journal = {Journal of Mathematical Physics},
  publisher = {AIP Publishing},
  year = {2018},
  volume = {59},
  number = {2},
  pages = {021504},
  doi = {https://doi.org/10.1063/1.5005816}
}
Large, S., Chetrite, R. and Sivak, D. Stochastic control in microscopic nonequilibrium systems 2018 arXiv  article  
BibTeX:
@article{Large2018_vol,
  author = {Large, S. J. and Chetrite, R. and Sivak, D. A.},
  title = {Stochastic control in microscopic nonequilibrium systems},
  journal = {arXiv},
  year = {2018}
}
Rao, R. and Esposito, M. Conservation laws shape dissipation 2018 New Journal of Physics
Vol. 20(2), pp. 023007 
article DOI  
BibTeX:
@article{Rao2018vol20a,
  author = {Riccardo Rao and Massimiliano Esposito},
  title = {Conservation laws shape dissipation},
  journal = {New Journal of Physics},
  publisher = {IOP Publishing},
  year = {2018},
  volume = {20},
  number = {2},
  pages = {023007},
  doi = {https://doi.org/10.1088/1367-2630/aaa15f}
}
Sughiyama, Y. and Kobayashi, T.J. The explicit form of the rate function for semi-Markov processes and its contractions 2018 Journal of Physics A: Mathematical and Theoretical
Vol. 51(12), pp. 125001 
article DOI URL 
Abstract: We derive the explicit form of the rate function for semi-Markov processes. Here, the 'random time change trick' plays an essential role. Also, by exploiting the contraction principle of large deviation theory to the explicit form, we show that the fluctuation theorem (Gallavotti--Cohen symmetry) holds for semi-Markov cases. Furthermore, we elucidate that our rate function is an extension of the level 2.5 rate function for Markov processes to semi-Markov cases.
BibTeX:
@article{Sughiyama_2018,
  author = {Yuki Sughiyama and Testuya J Kobayashi},
  title = {The explicit form of the rate function for semi-Markov processes and its contractions},
  journal = {Journal of Physics A: Mathematical and Theoretical},
  publisher = {IOP Publishing},
  year = {2018},
  volume = {51},
  number = {12},
  pages = {125001},
  url = {https://doi.org/10.1088/1751-8121/aaab6d},
  doi = {https://doi.org/10.1088/1751-8121/aaab6d}
}
Nardini, C. and Touchette, H. Process interpretation of current entropic bounds 2018 The European Physical Journal B
Vol. 91(1), pp. 16 
article DOI URL 
Abstract: We show for Markov diffusion processes that the quadratic entropic bound,
recently derived for the rate functions of nonequilibrium currents, can be
seen as being produced by an effective process that creates current
fluctuations in a sub-optimal way by modifying only the non-reversible part
of the drift or force of the process considered while keeping its reversible
part constant. This provides a clear interpretation of the bound in terms of
a physical process, which explains, among other things, its relation to the
fluctuation relation, linear response, and reversible limits. The existence
of more general quadratic bounds, and related uncertainty relations, for
physical quantities other than currents is also discussed.
BibTeX:
@article{Nardini2018_vol91,
  author = {Nardini, Cesare and Touchette, Hugo},
  title = {Process interpretation of current entropic bounds},
  journal = {The European Physical Journal B},
  year = {2018},
  volume = {91},
  number = {1},
  pages = {16},
  url = {https://doi.org/10.1140/epjb/e2017-80612-7},
  doi = {https://doi.org/10.1140/epjb/e2017-80612-7}
}
Vroylandt, H. and Verley, G. Non-equivalence of Dynamical Ensembles and Emergent Non-ergodicity 2018 J. Stat. Phys.
Vol. 174(2), pp. 404-432 
article DOI URL 
Abstract: Dynamical ensembles have been introduced to study constrained stochastic processes. In the microcanonical ensemble, the value of a dynamical observable is constrained to a given value. In the canonical ensemble a bias is introduced in the process to move the mean value of this observable. The equivalence between the two ensembles means that calculations in one or the other ensemble lead to the same result. In this paper, we study the physical conditions associated with ensemble equivalence and the consequences of non-equivalence. For continuous time Markov jump processes, we show that ergodicity guarantees ensemble equivalence. For non-ergodic systems or systems with emergent ergodicity breaking, we adapt a method developed for equilibrium ensembles to compute asymptotic probabilities while caring about the initial condition. We illustrate our results on the infinite range Ising model by characterizing the fluctuations of magnetization and activity. We discuss the emergence of non-ergodicity by showing that the initial condition can only be forgotten after a time that scales exponentially with the number of spins.
BibTeX:
@article{Vroylandt2018_vol174,
  author = {Vroylandt, Hadrien and Verley, Gatien},
  title = {Non-equivalence of Dynamical Ensembles and Emergent Non-ergodicity},
  journal = {J. Stat. Phys.},
  year = {2018},
  volume = {174},
  number = {2},
  pages = {404--432},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Vroylandt2018_Vol174.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Vroylandt2018_Vol174.pdf},
  doi = {https://doi.org/10.1007/s10955-018-2186-7}
}
Albert, V. Lindbladians with multiple steady states: theory and applications 2018 arXiv  phdthesis  
BibTeX:
@phdthesis{Phdthesis_Albert2018,
  author = {Albert, V. V.},
  title = {Lindbladians with multiple steady states: theory and applications},
  journal = {arXiv},
  year = {2018}
}
Carollo, F., Garrahan, J. and Lesanovsky, I. Current fluctuations in boundary-driven quantum spin chains 2018 arXiv  article  
BibTeX:
@article{Carollo2018_vol,
  author = {Carollo, F. and Garrahan, J. P. and Lesanovsky, I.},
  title = {Current fluctuations in boundary-driven quantum spin chains},
  journal = {arXiv},
  year = {2018}
}
Guioth, J. and Bertin, É. Large deviations and chemical potential in bulk-driven systems in contact 2018 arXiv  article  
BibTeX:
@article{Guioth2018_vol,
  author = {Guioth, J. and Bertin, É.},
  title = {Large deviations and chemical potential in bulk-driven systems in contact},
  journal = {arXiv},
  year = {2018}
}
Jaffe, R.L. and Taylor, W. The Physics of Energy 2018   book DOI  
BibTeX:
@book{Jaffe2018vol,
  author = {Robert L. Jaffe and Washington Taylor},
  title = {The Physics of Energy},
  publisher = {Cambridge University Press},
  year = {2018},
  doi = {https://doi.org/10.1017/9781139061292}
}
Paneru, G., Lee, D.Y., Tlusty, T. and Pak, H.K. Lossless Brownian Information Engine 2018 Phys. Rev. Lett.
Vol. 120, pp. 020601 
article DOI URL 
BibTeX:
@article{Paneru2018_vol120,
  author = {Paneru, Govind and Lee, Dong Yun and Tlusty, Tsvi and Pak, Hyuk Kyu},
  title = {Lossless Brownian Information Engine},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2018},
  volume = {120},
  pages = {020601},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.120.020601},
  doi = {https://doi.org/10.1103/PhysRevLett.120.020601}
}
Sanz, A. Bohmian pathways into chemistry: A brief overview 2018 arXiv  article  
BibTeX:
@article{Sanz2018_vol,
  author = {Sanz, A. S.},
  title = {Bohmian pathways into chemistry: A brief overview},
  journal = {arXiv},
  year = {2018}
}
Acus, A. and Dargys, A. The Inverse of a Multivector: Beyond the Threshold p + q=5 {2018} ADVANCES IN APPLIED CLIFFORD ALGEBRAS
Vol. {28}({3}) 
article DOI  
Abstract: The algorithm of finding an inverse multivector (MV) numerically and
symbolically is of paramount importance in the applied Clifford geometric
algebra (GA) . The first general MV inversion algorithm was based on matrix
representation of MV. The complexity of calculations and the size of the
answer in a symbolic form grow exponentially with the dimension . The
breakthrough occurred when Lundholm and then Dadbeh found compact inverse
formulas up to dimension . The formulas were constructed in a form of
Clifford product of the initial MV and carefully chosen grade-negation
counterparts. In this report we show that the grade-negated self-product
method can be extended beyond the threshold if, in addition, properly
constructed linear combinations of such MV products are used. In particular,
we present compact explicit MV inverse formulas for algebras of vector space
of dimension and show that they embrace all lower dimensional cases as well.
For readers convenience, we have also given various MV formulas in a form of
grade negations when n <= 5.
BibTeX:
@article{Acus2018vol28,
  author = {Acus, A. and Dargys, A.},
  title = {The Inverse of a Multivector: Beyond the Threshold p + q=5},
  journal = {ADVANCES IN APPLIED CLIFFORD ALGEBRAS},
  publisher = {SPRINGER BASEL AG},
  year = {2018},
  volume = {28},
  number = {3},
  doi = {https://doi.org/10.1007/s00006-018-0885-4}
}
Barrat, J.-L. Elasticity and plasticity of disordered systems, a statistical physics perspective 2018 Physica A
Vol. 504, pp. 20-30 
article DOI URL 
BibTeX:
@article{Barrat2018vol504,
  author = {Jean-Louis Barrat},
  title = {Elasticity and plasticity of disordered systems, a statistical physics perspective},
  journal = {Physica A},
  year = {2018},
  volume = {504},
  pages = {20--30},
  note = {Lecture Notes of the 14th International Summer School on Fundamental Problems in Statistical Physics},
  url = {http://www.sciencedirect.com/science/article/pii/S037843711731227X},
  doi = {https://doi.org/10.1016/j.physa.2017.11.146}
}
Chetrite, R. Quadratic Bound for Time Periodic Jump Process and Generic Observable 2018   unpublished  
BibTeX:
@unpublished{Notes_Chetrite2018_vol,
  author = {Chetrite, R.},
  title = {Quadratic Bound for Time Periodic Jump Process and Generic Observable},
  year = {2018}
}
Chétrite, R. Périgrinations sur les phénomènes aléatoires dans la nature 2018 Thèse d'habilitation à  diriger des recherchesSchool: Université de Nice. Laboratoire J.A. Dieudonné  phdthesis URL 
BibTeX:
@phdthesis{Notes_Chetrite2018,
  author = {Raphaël Chétrite},
  title = {Périgrinations sur les phénomènes aléatoires dans la nature},
  journal = {Thèse d'habilitation à  diriger des recherches},
  school = {Université de Nice. Laboratoire J.A. Dieudonné},
  year = {2018},
  url = {https://drive.google.com/file/d/11ldHKTg3f039gTup6ln0ekDB0_iUtI4D/view}
}
Cocco, S., Monasson, R., Posani, L., Rosay, S. and Tubiana, J. Statistical physics and representations in real and artificial neural networks 2018 Physica A: Statistical Mechanics and its Applications
Vol. 504, pp. 45-76 
article DOI URL 
BibTeX:
@article{Cocco2018vol504,
  author = {S. Cocco and R. Monasson and L. Posani and S. Rosay and J. Tubiana},
  title = {Statistical physics and representations in real and artificial neural networks},
  journal = {Physica A: Statistical Mechanics and its Applications},
  year = {2018},
  volume = {504},
  pages = {45--76},
  note = {Lecture Notes of the 14th International Summer School on Fundamental Problems in Statistical Physics},
  url = {http://www.sciencedirect.com/science/article/pii/S0378437117312347},
  doi = {https://doi.org/10.1016/j.physa.2017.11.153}
}
Eckhardt, B. Transition to turbulence in shear flows 2018 Physica A: Statistical Mechanics and its Applications
Vol. 504, pp. 121-129 
article DOI URL 
BibTeX:
@article{Eckhardt2018vol504,
  author = {Bruno Eckhardt},
  title = {Transition to turbulence in shear flows},
  journal = {Physica A: Statistical Mechanics and its Applications},
  year = {2018},
  volume = {504},
  pages = {121--129},
  note = {Lecture Notes of the 14th International Summer School on Fundamental Problems in Statistical Physics},
  url = {http://www.sciencedirect.com/science/article/pii/S0378437118300529},
  doi = {https://doi.org/10.1016/j.physa.2018.01.032}
}
Fox, D.B., Sigurdsson, S., Shandera, S., Mészáros, P., Murase, K., Mostafá, M. and Coutu, S. The ANITA Anomalous Events as Signatures of a Beyond Standard Model Particle, and Supporting Observations from IceCube 2018   article  
BibTeX:
@article{eltit,
  author = {Derek B. Fox and Steinn Sigurdsson and Sarah Shandera and Peter Mészáros and Kohta Murase and Miguel Mostafá and Stephane Coutu},
  title = {The ANITA Anomalous Events as Signatures of a Beyond Standard Model Particle, and Supporting Observations from IceCube},
  year = {2018}
}
Garrahan, J.P. Aspects of non-equilibrium in classical and quantum systems: Slow relaxation and glasses, dynamical large deviations, quantum non-ergodicity, and open quantum dynamics 2018 Physica A
Vol. 504, pp. 130-154 
article DOI URL 
Abstract: In these four lectures I describe basic ideas and methods applicable to both
classical and quantum systems displaying slow relaxation and non-equilibrium
dynamics. The first half of these notes considers classical systems, and the
second half, quantum systems. In Lecture 1, I briefly review the glass
transition problem as a paradigm of slow relaxation and dynamical arrest in
classical many-body systems. I discuss theoretical perspectives on how to
think about glasses, and in particular how to model them in terms of
kinetically constrained dynamics. In Lecture 2, I describe how via large
deviation methods it is possible to define a statistical mechanics of
trajectories which reveals the dynamical phase structure of systems with
complex relaxation such as glasses. Lecture 3 is about closed (i.e. isolated)
many-body quantum systems. I review thermalisation and many-body
localisation, and consider the possibility of slow thermalisation and quantum
non-ergodicity in the absence of disorder, thus connecting with some of the
ideas of the first lecture. Lecture 4 is about open quantum systems, that is,
quantum systems interacting with an environment. I review the description of
open quantum dynamics within the Markovian approximation in terms of quantum
master equations and stochastic quantum trajectories, and explain how to
extend the dynamical large deviation method to study the statistical
properties of ensembles of quantum jump trajectories. My overall aim is to
draw analogies between classical and quantum non-equilibrium and find
connections in the way we think about problems in these areas.
BibTeX:
@article{Garrahan2018_vol504,
  author = {Juan P. Garrahan},
  title = {Aspects of non-equilibrium in classical and quantum systems: Slow relaxation and glasses, dynamical large deviations, quantum non-ergodicity, and open quantum dynamics},
  journal = {Physica A},
  year = {2018},
  volume = {504},
  pages = {130--154},
  note = {Lecture Notes of the 14th International Summer School on Fundamental Problems in Statistical Physics},
  url = {http://www.sciencedirect.com/science/article/pii/S0378437117313985},
  doi = {https://doi.org/10.1016/j.physa.2017.12.149}
}
Jenny, M. Turbomachines - Énergie hydraulique et éolienne 2018   unpublished URL 
BibTeX:
@unpublished{Notes_Jenny2018,
  author = {Mathieu Jenny},
  title = {Turbomachines - Énergie hydraulique et éolienne},
  year = {2018},
  note = {Cours de l'école des mines de Nancy},
  url = {http://energie.mines-nancy.univ-lorraine.fr/depEF/2A/turbo2a.pdf}
}
Neill, S.P. and Hashemi, M.R. Other Forms of Ocean Energy 2018 Fundamentals of Ocean Renewable Energy, pp. 141-155  incollection DOI  
BibTeX:
@incollection{Neill2018vola,
  author = {Simon P. Neill and M. Reza Hashemi},
  title = {Other Forms of Ocean Energy},
  booktitle = {Fundamentals of Ocean Renewable Energy},
  publisher = {Elsevier},
  year = {2018},
  pages = {141--155},
  doi = {https://doi.org/10.1016/b978-0-12-810448-4.00006-9}
}
Neill, S.P. and Hashemi, M.R. Tidal Energy 2018 Fundamentals of Ocean Renewable Energy, pp. 47-81  incollection DOI  
BibTeX:
@incollection{Neill2018vol,
  author = {Simon P. Neill and M. Reza Hashemi},
  title = {Tidal Energy},
  booktitle = {Fundamentals of Ocean Renewable Energy},
  publisher = {Elsevier},
  year = {2018},
  pages = {47--81},
  doi = {https://doi.org/10.1016/b978-0-12-810448-4.00003-3}
}
Orlandini, E. Statistical topology and knotting of fluctuating filaments 2018 Physica A
Vol. 504, pp. 155-175 
article DOI URL 
BibTeX:
@article{Orlandini2018vol504,
  author = {Enzo Orlandini},
  title = {Statistical topology and knotting of fluctuating filaments},
  journal = {Physica A},
  year = {2018},
  volume = {504},
  pages = {155--175},
  note = {Lecture Notes of the 14th International Summer School on Fundamental Problems in Statistical Physics},
  url = {http://www.sciencedirect.com/science/article/pii/S0378437117309998},
  doi = {https://doi.org/10.1016/j.physa.2017.09.106}
}
Ramousse, J. and Goupil, C. Chart for Thermoelectric Systems Operation Based on a Ternary Diagram for Bithermal Systems 2018 Entropy
Vol. 20(9) 
article DOI URL 
Abstract: Thermoelectric system&rsquo;s operation needs careful attention to ensure
optimal power conversion depending on the application aims. As a ternary
diagram of bithermal systems allows a synthetic graphical analysis of the
performance attainable by any work-heat conversion system, thermoelectric
systems operation is plotted as a parametric curve function of the operating
conditions (electric current and reservoirs&rsquo; temperature), based on
the standard model of Ioffe. The threshold of each operating mode (heat
engine, heat pump, thermal dissipation, and forced thermal transfer), along
with the optimal efficiencies and powers of the heat pump and heat engine
modes, are characterized graphically and analytically as a function of the
material properties and the operating conditions. The sensibility of the
performance aims (maximum efficiency vs. maximum power) with the operating
conditions is, thus, highlighted. In addition, the specific contributions of
each phenomenon involved in the semiconductor (reversible Seebeck effect,
irreversible heat leakage by conduction and irreversible thermal dissipation
by Joule effect) are discussed in terms of entropy generation. Finally, the
impact of the exo-irreversibilities on the performance is analyzed by taking
the external thermal resistances into account.
BibTeX:
@article{Ramousse2018_vol20,
  author = {Ramousse, Julien and Goupil, Christophe},
  title = {Chart for Thermoelectric Systems Operation Based on a Ternary Diagram for Bithermal Systems},
  journal = {Entropy},
  year = {2018},
  volume = {20},
  number = {9},
  url = {http://www.mdpi.com/1099-4300/20/9/666},
  doi = {https://doi.org/10.3390/e20090666}
}
Rao, R. and Esposito, M. Conservation laws and work fluctuation relations in chemical reaction networks 2018 The Journal of chemical physics
Vol. 149(24), pp. 245101 
article DOI URL 
BibTeX:
@article{Rao2018vol149,
  author = {Rao, Riccardo and Esposito, Massimiliano},
  title = {Conservation laws and work fluctuation relations in chemical reaction networks},
  journal = {The Journal of chemical physics},
  publisher = {AIP Publishing},
  year = {2018},
  volume = {149},
  number = {24},
  pages = {245101},
  url = {https://doi.org/10.1063/1.5042253},
  doi = {https://doi.org/10.1063/1.5042253}
}
Rao, R. and Esposito, M. Detailed Fluctuation Theorems: A Unifying Perspective 2018 Entropy
Vol. 20(9), pp. 635 
article DOI URL 
Abstract: We present a general method to identify an arbitrary number of fluctuating
quantities which satisfy a detailed fluctuation theorem for all times within
the framework of time-inhomogeneous Markovian jump processes. In doing so, we
provide a unified perspective on many fluctuation theorems derived in the
literature. By complementing the stochastic dynamics with a thermodynamic
structure (i.e., using stochastic thermodynamics), we also express these
fluctuating quantities in terms of physical observables.
BibTeX:
@article{Rao2018_vol20,
  author = {Rao, Riccardo and Esposito, Massimiliano},
  title = {Detailed Fluctuation Theorems: A Unifying Perspective},
  journal = {Entropy},
  year = {2018},
  volume = {20},
  number = {9},
  pages = {635},
  url = {http://www.mdpi.com/1099-4300/20/9/635},
  doi = {https://doi.org/10.3390/e20090635}
}
Takeuchi, K.A. An appetizer to modern developments on the Kardar-Parisi-Zhang universality class 2018 Physica A
Vol. 504, pp. 77-105 
article DOI URL 
BibTeX:
@article{Takeuchi2018vol504,
  author = {Kazumasa A. Takeuchi},
  title = {An appetizer to modern developments on the Kardar-Parisi-Zhang universality class},
  journal = {Physica A},
  year = {2018},
  volume = {504},
  pages = {77--105},
  note = {Lecture Notes of the 14th International Summer School on Fundamental Problems in Statistical Physics},
  url = {http://www.sciencedirect.com/science/article/pii/S0378437118303170},
  doi = {https://doi.org/10.1016/j.physa.2018.03.009}
}
Vroylandt, H., Lacoste, D. and Verley, G. Degree of coupling and efficiency of energy converters far-from-equilibrium 2018 J. Stat. Mech: Theory Exp.  article DOI URL 
Abstract: In this paper, we introduce a real symmetric and positive semi-definite matrix, which we call the non-equilibrium conductance matrix, and which generalizes the Onsager response matrix for a system in a non-equilibrium stationary state. We then express the thermodynamic efficiency in terms of the coefficients of this matrix using a parametrization similar to the one used near equilibrium. This framework, then valid arbitrarily far from equilibrium allows to set bounds on the thermodynamic efficiency by a universal function depending only on the degree of coupling between input and output currents. It also leads to new general power-efficiency trade-offs valid for macroscopic machines that are compared to trade-offs previously obtained from uncertainty relations. We illustrate our results on an unicycle heat to heat converter and on a discrete model of a molecular motor.
BibTeX:
@article{Vroylandt2018vol2018,
  author = {Hadrien Vroylandt and David Lacoste and Gatien Verley},
  title = {Degree of coupling and efficiency of energy converters far-from-equilibrium},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2018},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Vroylandt2018_vol2018.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Vroylandt2018_vol2018.pdf},
  doi = {https://doi.org/10.1088/1742-5468/aaa8fe}
}
Woillez, J. Conversion chaleur-énergie mécanique 2018   book  
BibTeX:
@book{Woillez2018vol,
  author = {J. Woillez},
  title = {Conversion chaleur-énergie mécanique},
  publisher = {Lavoisier},
  year = {2018}
}
Xambó-Descamps, S. Real Spinorial Groups 2018   book DOI  
BibTeX:
@book{XamboDescamps2018vol,
  author = {Sebastià Xambó-Descamps},
  title = {Real Spinorial Groups},
  publisher = {Springer International Publishing},
  year = {2018},
  doi = {https://doi.org/10.1007/978-3-030-00404-0}
}
Kraaij, R.C., Lazarescu, A., Maes, C. and Peletier, M.A. Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation 2017   article  
Abstract: We develop a formalism to discuss the properties of GENERIC systems in terms
of corresponding Hamiltonians that appear in the characterization of
large-deviation limits. We demonstrate how the GENERIC structure naturally
arises from a certain symmetry in the Hamiltonian, which extends earlier work
that has connected the large-deviation behaviour of reversible stochastic
processes to the gradient-flow structure of their deterministic limit.
Natural examples of application include particle systems with inertia.
BibTeX:
@article{Kraaij2017_arxiv,
  author = {Richard C. Kraaij and Alexandre Lazarescu and Christian Maes and Mark A. Peletier},
  title = {Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation},
  year = {2017}
}
Kraaij, R., Lazarescu, A., Maes, C. and Peletier, M. Deriving GENERIC from a Generalized Fluctuation Symmetry 2017 Journal of Statistical Physics
Vol. 170(3), pp. 492-508 
article DOI URL 
Abstract: Much of the structure of macroscopic evolution equations for relaxation to
equilibrium can be derived from symmetries in the dynamical fluctuations
around the most typical trajectory. For example, detailed balance as
expressed in terms of the Lagrangian for the path-space action leads to
gradient zero-cost flow. We expose a new such fluctuation symmetry that
implies GENERIC, an extension of gradient flow where a Hamiltonian part is
added to the dissipative term in such a way as to retain the free energy as
Lyapunov function.
BibTeX:
@article{Kraaij_2017,
  author = {Richard Kraaij and Alexandre Lazarescu and Christian Maes and Mark Peletier},
  title = {Deriving GENERIC from a Generalized Fluctuation Symmetry},
  journal = {Journal of Statistical Physics},
  publisher = {Springer Science and Business Media LLC},
  year = {2017},
  volume = {170},
  number = {3},
  pages = {492--508},
  url = {https://doi.org/10.1007/s10955-017-1941-5},
  doi = {https://doi.org/10.1007/s10955-017-1941-5}
}
Barato, A., Roldán, É., Mart\inez, I. and Pigolotti, S. Thermodynamic Arcsine Law 2017 arXiv  article  
BibTeX:
@article{Barato2017_vol,
  author = {Barato, A. C. and Roldán, É. and Mart\inez, I. A. and Pigolotti, S.},
  title = {Thermodynamic Arcsine Law},
  journal = {arXiv},
  year = {2017}
}
Bauer, M. and Cornu, F. Thermal contact through a two-temperature kinetic Ising chain 2017 arXiv  article  
BibTeX:
@article{Bauer2017_vol,
  author = {Bauer, M. and Cornu, F.},
  title = {Thermal contact through a two-temperature kinetic Ising chain},
  journal = {arXiv},
  year = {2017}
}
Busiello, D.M., Hidalgo, J. and Maritan, A. Entropy production in systems with random transition rates close to equilibrium 2017 Phys. Rev. E
Vol. 96, pp. 062110 
article DOI URL 
BibTeX:
@article{Busiello2017_vol96,
  author = {Busiello, Daniel M. and Hidalgo, Jorge and Maritan, Amos},
  title = {Entropy production in systems with random transition rates close to equilibrium},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2017},
  volume = {96},
  pages = {062110},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.96.062110},
  doi = {https://doi.org/10.1103/PhysRevE.96.062110}
}
Fischer, L., Pietzonka, P. and Seifert, U. Large Deviation Function for a Driven Underdamped Particle in a Periodic Potential 2017 arXiv  article  
BibTeX:
@article{Fischer2017_vol,
  author = {Fischer, L. P. and Pietzonka, P. and Seifert, U.},
  title = {Large Deviation Function for a Driven Underdamped Particle in a Periodic Potential},
  journal = {arXiv},
  year = {2017}
}
Kraaij, R., Lazarescu, A., Maes, C. and Peletier, M. Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation 2017 arXiv  article  
BibTeX:
@article{Kraaij2017_vola,
  author = {Kraaij, R. C. and Lazarescu, A. and Maes, C. and Peletier, M. A.},
  title = {Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation},
  journal = {arXiv},
  year = {2017}
}
Lang, J., Frank, B. and Halimeh, J. Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model 2017 arXiv  article  
BibTeX:
@article{Lang2017_vol,
  author = {Lang, J. and Frank, B. and Halimeh, J. C.},
  title = {Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model},
  journal = {arXiv},
  year = {2017}
}
Lee, J. and Park, H. Additivity of multiple heat reservoirs in Langevin equation 2017 arXiv  article  
BibTeX:
@article{Lee2017_vol,
  author = {Lee, J. S. and Park, H.},
  title = {Additivity of multiple heat reservoirs in Langevin equation},
  journal = {arXiv},
  year = {2017}
}
Pessoa, P. and Caticha, A. Exact Renormalization Groups as a form of Entropic Dynamics 2017 arXiv  article  
Abstract: The Renormalization Group (RG) is a set of methods that have been
instrumental in tackling problems involving an infinite number of degrees of
freedom. What all these methods have in common -- which is what explains
their success -- is that they allow a systematic search for those degrees of
freedom that happen to be relevant to the phenomena in question. In the
standard approaches the RG transformations are implemented by either coarse
graining or by changes of variables. When these transformations are
infinitesimal the formalism can be described as a continuous dynamical flow
in a fictitious time parameter. It is generally the case that these exact RG
equations are functional diffusion equations. In this paper we show that the
exact RG equations can be derived using entropic methods. The RG flow is then
described as a form of entropic dynamics of field configurations. Although
equivalent to other versions of the RG, in this approach the RG
transformations receive a purely inferential interpretation that establishes
a clear link to information theory.
BibTeX:
@article{Pessoa2017_vol,
  author = {Pessoa, P. and Caticha, A.},
  title = {Exact Renormalization Groups as a form of Entropic Dynamics},
  journal = {arXiv},
  year = {2017}
}
Purkayastha, A. Green-Kubo formula for general open quantum systems and open to closed system crossover 2017 arXiv  article  
BibTeX:
@article{Purkayastha2017_vol,
  author = {Purkayastha, A.},
  title = {Green-Kubo formula for general open quantum systems and open to closed system crossover},
  journal = {arXiv},
  year = {2017}
}
Sagawa, T. Second law, entropy production, and reversibility in thermodynamics of information 2017 arXiv  article  
Abstract: We present a pedagogical review of the fundamental concepts in thermodynamics
of information, by focusing on the second law of thermodynamics and the
entropy production. Especially, we discuss the relationship among
thermodynamic reversibility, logical reversibility, and heat emission in the
context of the Landauer principle and clarify that these three concepts are
fundamentally distinct to each other. We also discuss thermodynamics of
measurement and feedback control by Maxwell's demon. We clarify that the
demon and the second law are indeed consistent in the measurement and the
feedback processes individually, by including the mutual information to the
entropy production.
BibTeX:
@article{Sagawa2017_vol,
  author = {Sagawa, T.},
  title = {Second law, entropy production, and reversibility in thermodynamics of information},
  journal = {arXiv},
  year = {2017}
}
Yamano, T. Effect of temperature-dependent energy levels on exergy 2017 Journal of Physics Communications
Vol. 1(5), pp. 055007 
article DOI  
BibTeX:
@article{Yamano2017vol1,
  author = {Takuya Yamano},
  title = {Effect of temperature-dependent energy levels on exergy},
  journal = {Journal of Physics Communications},
  publisher = {IOP Publishing},
  year = {2017},
  volume = {1},
  number = {5},
  pages = {055007},
  doi = {https://doi.org/10.1088/2399-6528/aa95e4}
}
Chiuchiù, D. and Pigolotti, S. Mapping of uncertainty relations between continuous and discrete time 2017 arXiv  article  
BibTeX:
@article{Chiuchiu2017_vol,
  author = {Chiuchiù, D. and Pigolotti, S.},
  title = {Mapping of uncertainty relations between continuous and discrete time},
  journal = {arXiv},
  year = {2017}
}
Lee, J. and Park, H. Carnot efficiency is reachable in an irreversible process 2017 Sci. Rep.
Vol. 7(10725) 
article DOI  
BibTeX:
@article{Lee2017vol7,
  author = {Lee, J. S. and Park, H.},
  title = {Carnot efficiency is reachable in an irreversible process},
  journal = {Sci. Rep.},
  year = {2017},
  volume = {7},
  number = {10725},
  doi = {https://doi.org/10.1038/s41598-017-10664-9}
}
Majumdar, S. and Schehr, G. Large deviations 2017 arXiv  article  
BibTeX:
@article{Majumdar2017_vol,
  author = {Majumdar, S. N. and Schehr, G.},
  title = {Large deviations},
  journal = {arXiv},
  year = {2017}
}
Polettini, M. Oblique projections on metric spaces 2017   article  
Abstract: It is known that complementary oblique projections P_0 + P_1 = I on a Hilbert space H have the same standard operator norm \hatP_0 = \hatP_1} and the same singular values, but for the multiplicity of 0 and 1. We generalize these results to Hilbert spaces endowed with a positive-definite metric G on top of the scalar product. Our main result is that the volume elements (pseudodeterminants _+) of the metrics L_0,L_1 induced by G on the complementary oblique subspaces H = H_0 ⊕ H_1, and of those \Gamma_0,\Gamma_1 induced on their algebraic duals, obey the relations align \det_+ L_1_+ \Gamma_0 = \det_+ L_0_+ \Gamma_1 = det_+ G. nonumber align Furthermore, we break this result down to eigenvalues, proving a "supersymmetry" of the two operators \mathit{\Gamma}_0 L_0 and L_1 \mathit{\Gamma}_1. We connect the former result to a well-known duality property of the weighted-spanning-tree polynomials in graph theory.
BibTeX:
@article{Polettini2017vol,
  author = {Matteo Polettini},
  title = {Oblique projections on metric spaces},
  year = {2017}
}
Vroylandt, H., Esposito, M. and Verley, G. Collective effects enhancing power and efficiency 2017 Europhys. Lett.
Vol. 120(3), pp. 30009 
article DOI URL 
Abstract: Energy conversion is most efficient for micro or nano machines with tight
coupling between input and output power. To reach meaningful amounts of
power, ensembles of N such machines must be considered. We use a model system
to demonstrate that interactions between N tightly coupled nanomachines can
enhance the power output per machine. Furthermore, while interactions break
tight coupling and thus lower efficiency in finite ensembles, the macroscopic
limit restores it and enhances both the efficiency and the output power per
nanomachine.
BibTeX:
@article{Vroylandt2017_vol120,
  author = {Hadrien Vroylandt and Massimiliano Esposito and Gatien Verley},
  title = {Collective effects enhancing power and efficiency},
  journal = {Europhys. Lett.},
  publisher = {IOP Publishing},
  year = {2017},
  volume = {120},
  number = {3},
  pages = {30009},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Vroylandt2017_vol120.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Vroylandt2017_vol120.pdf},
  doi = {https://doi.org/10.1209/0295-5075/120/30009}
}
Baek, Y., Kafri, Y. and Lecomte, V. Dynamical phase transitions in the current distribution of driven diffusive channels 2017 arXiv  article  
BibTeX:
@article{Baek2017_vol,
  author = {Baek, Y. and Kafri, Y. and Lecomte, V.},
  title = {Dynamical phase transitions in the current distribution of driven diffusive channels},
  journal = {arXiv},
  year = {2017}
}
Bravetti, A. Contact Hamiltonian Dynamics: The Concept and Its Use 2017 Entropy
Vol. 19(10), pp. 535 
article DOI  
BibTeX:
@article{Bravetti2017vol19,
  author = {Alessandro Bravetti},
  title = {Contact Hamiltonian Dynamics: The Concept and Its Use},
  journal = {Entropy},
  publisher = {MDPI AG},
  year = {2017},
  volume = {19},
  number = {10},
  pages = {535},
  doi = {https://doi.org/10.3390/e19100535}
}
Fujii, T. and Hatakenaka, N. A path integral approach to Bayesian inference in Markov processes 2017 arXiv  article  
BibTeX:
@article{Fujii2017_vol,
  author = {Fujii, T. and Hatakenaka, N.},
  title = {A path integral approach to Bayesian inference in Markov processes},
  journal = {arXiv},
  year = {2017}
}
Gupta, D. and Sabhapandit, S. Stochastic efficiency of an isothermal work-to-work converter engine 2017 Phys. Rev. E
Vol. 96, pp. 042130 
article DOI URL 
BibTeX:
@article{Gupta2017_vol96,
  author = {Gupta, Deepak and Sabhapandit, Sanjib},
  title = {Stochastic efficiency of an isothermal work-to-work converter engine},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2017},
  volume = {96},
  pages = {042130},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.96.042130},
  doi = {https://doi.org/10.1103/PhysRevE.96.042130}
}
Squartini, T. and Garlaschelli, D. Reconnecting statistical physics and combinatorics beyond ensemble equivalence 2017 arXiv  article  
BibTeX:
@article{Squartini2017_vol,
  author = {Squartini, T. and Garlaschelli, D.},
  title = {Reconnecting statistical physics and combinatorics beyond ensemble equivalence},
  journal = {arXiv},
  year = {2017}
}
Wang, S.-W. Inferring dissipation from the violation of Fluctuation-Dissipation Theorem for Markov systems 2017 arXiv  article  
BibTeX:
@article{Wang2017_vol,
  author = {Wang, S.-W.},
  title = {Inferring dissipation from the violation of Fluctuation-Dissipation Theorem for Markov systems},
  journal = {arXiv},
  year = {2017}
}
Arkani-Hamed, N., Huang, T.-C. and Huang, Y.-t. Scattering Amplitudes For All Masses and Spins 2017   article  
Abstract: We introduce a formalism for describing four-dimensional scattering
amplitudes for particles of any mass and spin. This naturally extends the
familiar spinor-helicity formalism for massless particles to one where these
variables carry an extra SU(2) little group index for massive particles, with
the amplitudes for spin S particles transforming as symmetric rank 2S
tensors. We systematically characterise all possible three particle
amplitudes compatible with Poincare symmetry. Unitarity, in the form of
consistent factorization, imposes algebraic conditions that can be used to
construct all possible four-particle tree amplitudes. This also gives us a
convenient basis in which to expand all possible four-particle amplitudes in
terms of what can be called "spinning polynomials". Many general results of
quantum field theory follow the analysis of four-particle scattering, ranging
from the set of all possible consistent theories for massless particles, to
spin-statistics, and the Weinberg-Witten theorem. We also find a transparent
understanding for why massive particles of sufficiently high spin can not be
"elementary". The Higgs and Super-Higgs mechanisms are naturally discovered
as an infrared unification of many disparate helicity amplitudes into a
smaller number of massive amplitudes, with a simple understanding for why
this can't be extended to Higgsing for gravitons. We illustrate a number of
applications of the formalism at one-loop, giving few-line computations of
the electron (g-2) as well as the beta function and rational terms in QCD.
"Off-shell" observables like correlation functions and form-factors can be
thought of as scattering amplitudes with external "probe" particles of
general mass and spin, so all these objects--amplitudes, form factors and
correlators, can be studied from a common on-shell perspective.
BibTeX:
@article{ArkaniHamed2017vol,
  author = {Nima Arkani-Hamed and Tzu-Chen Huang and Yu-tin Huang},
  title = {Scattering Amplitudes For All Masses and Spins},
  year = {2017}
}
Gao, C. and Limmer, D. Transport Coefficients from Large Deviation Functions 2017 arXiv  article  
BibTeX:
@article{Gao2017_vol,
  author = {Gao, C. Y. and Limmer, D. T.},
  title = {Transport Coefficients from Large Deviation Functions},
  journal = {arXiv},
  year = {2017}
}
Gonzalez Lezcano, A. and Cabo Montes de Oca, A. A stochastic version of the Noether Theorem 2017 arXiv  article  
BibTeX:
@article{GonzalezLezcano2017_vol,
  author = {Gonzalez Lezcano, A. and Cabo Montes de Oca, A.},
  title = {A stochastic version of the Noether Theorem},
  journal = {arXiv},
  year = {2017}
}
Grafke, T. and Vanden-Eijnden, E. Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold 2017 Journal of Statistical Mechanics: Theory and Experiment
Vol. 2017(9), pp. 093208 
article DOI URL 
Abstract: Noise-induced transitions between metastable fixed points in systems evolving
on multiple time scales are analyzed in situations where the time scale
separation gives rise to a slow manifold with bifurcation. This analysis is
performed within the realm of large deviation theory. It is shown that these
non-equilibrium transitions make use of a reaction channel created by the
bifurcation structure of the slow manifold, leading to vastly increased
transition rates. Several examples are used to illustrate these findings,
including an insect outbreak model, a system modeling phase separation in the
presence of evaporation, and a system modeling transitions in active matter
self-assembly. The last example involves a spatially extended system modeled
by a stochastic partial differential equation.
BibTeX:
@article{Grafke2017_vol2017,
  author = {Tobias Grafke and Eric Vanden-Eijnden},
  title = {Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold},
  journal = {Journal of Statistical Mechanics: Theory and Experiment},
  publisher = {IOP Publishing},
  year = {2017},
  volume = {2017},
  number = {9},
  pages = {093208},
  url = {https://iopscience.iop.org/article/10.1088/1742-5468/aa85cb},
  doi = {https://doi.org/10.1088/1742-5468/aa85cb}
}
Holubec, V. and Ryabov, A. Work and power fluctuations in a critical heat engine 2017 Phys. Rev. E
Vol. 96, pp. 030102 
article DOI URL 
BibTeX:
@article{Holubec2017_vol96,
  author = {Holubec, Viktor and Ryabov, Artem},
  title = {Work and power fluctuations in a critical heat engine},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2017},
  volume = {96},
  pages = {030102},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.96.030102},
  doi = {https://doi.org/10.1103/PhysRevE.96.030102}
}
Wachtel, A., Rao, R. and Esposito, M. Thermodynamically Consistent Coarse Graining of Biocatalysts beyond Michaelis--Menten 2017 arXiv  article  
BibTeX:
@article{Wachtel2017_vol,
  author = {Wachtel, A. and Rao, R. and Esposito, M.},
  title = {Thermodynamically Consistent Coarse Graining of Biocatalysts beyond Michaelis--Menten},
  journal = {arXiv},
  year = {2017}
}
Cheung, C. TASI Lectures on Scattering Amplitudes 2017   article  
Abstract: These lectures are a brief introduction to scattering amplitudes. We begin
with a review of basic kinematical concepts like the spinor helicity
formalism, followed by a tutorial on bootstrapping tree-level scattering
amplitudes. Afterwards, we discuss on-shell recursion relations and soft
theorems, emphasizing their broad applicability to gravity, gauge theory, and
effective field theories. Lastly, we report on some of the new field
theoretic structures which have emerged from the on-shell picture, focusing
primarily on color-kinematics duality.
BibTeX:
@article{Cheung2017vol,
  author = {Clifford Cheung},
  title = {TASI Lectures on Scattering Amplitudes},
  year = {2017}
}
Apertet, Y., Ouerdane, H., Goupil, C. and Lecoeur, P. True nature of the Curzon-Ahlborn efficiency 2017 Phys. Rev. E
Vol. 96, pp. 022119 
article DOI URL 
BibTeX:
@article{Apertet2017_vol96,
  author = {Yann Apertet, Henni Ouerdane, Christophe Goupil, Philippe Lecoeur},
  title = {True nature of the Curzon-Ahlborn efficiency},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2017},
  volume = {96},
  pages = {022119},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.96.022119},
  doi = {https://doi.org/10.1103/PhysRevE.96.022119}
}
Goupil, C., Ouerdane, H., Herbert, E. and D'Angelo, Y. Thermodynamics of metabolic energy conversion under muscle load 2017 arXiv
Vol. 21(2), pp. 023021 
article DOI  
BibTeX:
@article{Goupil2017_vola,
  author = {Goupil, C. and Ouerdane, H. and Herbert, E. and D'Angelo, Y.},
  title = {Thermodynamics of metabolic energy conversion under muscle load},
  journal = {arXiv},
  publisher = {IOP Publishing},
  year = {2017},
  volume = {21},
  number = {2},
  pages = {023021},
  doi = {https://doi.org/10.1088/1367-2630/ab0223}
}
Horowitz, J.M. and Gingrich, T.R. Proof of the finite-time thermodynamic uncertainty relation for steady-state currents 2017 Phys. Rev. E
Vol. 96, pp. 020103 
article DOI URL 
BibTeX:
@article{Horowitz2017_vol96,
  author = {Horowitz, Jordan M. and Gingrich, Todd R.},
  title = {Proof of the finite-time thermodynamic uncertainty relation for steady-state currents},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2017},
  volume = {96},
  pages = {020103},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.96.020103},
  doi = {https://doi.org/10.1103/PhysRevE.96.020103}
}
Ray, U., Kin-Lic Chan, G. and Limmer, D. Exact fluctuations of nonequilibrium steady states from approximate auxiliary dynamics 2017 arXiv  article  
BibTeX:
@article{Ray2017_vol,
  author = {Ray, U. and Kin-Lic Chan, G. and Limmer, D. T.},
  title = {Exact fluctuations of nonequilibrium steady states from approximate auxiliary dynamics},
  journal = {arXiv},
  year = {2017}
}
Touchette, H. Asymptotic equivalence of probability measures and stochastic processes 2017 arXiv  article URL 
BibTeX:
@article{Touchette2017_vola,
  author = {Touchette, H.},
  title = {Asymptotic equivalence of probability measures and stochastic processes},
  journal = {arXiv},
  year = {2017},
  url = {http://adsabs.harvard.edu/abs/2017arXiv170802890T}
}
Xiong, D., Thiel, F. and Barkai, E. Using Hilbert transform and classical chains to simulate quantum walks 2017 Phys. Rev. E
Vol. 96, pp. 022114 
article DOI  
BibTeX:
@article{Xiong2017_vol96,
  author = {Xiong, Daxing and Thiel, Felix and Barkai, Eli},
  title = {Using Hilbert transform and classical chains to simulate quantum walks},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2017},
  volume = {96},
  pages = {022114},
  doi = {https://doi.org/10.1103/PhysRevE.96.022114}
}
Baiesi, M. and Maes, C. Life efficiency does not always increase with the dissipation rate 2017 arXiv  article  
BibTeX:
@article{Baiesi2017_vol,
  author = {Baiesi, M. and Maes, C.},
  title = {Life efficiency does not always increase with the dissipation rate},
  journal = {arXiv},
  year = {2017}
}
Bonella, S., Coretti, A., Rondoni, L. and Ciccotti, G. Time-reversal symmetry for systems in a constant external magnetic field 2017 Phys. Rev. E
Vol. 96, pp. 012160 
article DOI URL 
BibTeX:
@article{Bonella2017_vol96,
  author = {Bonella, S. and Coretti, A. and Rondoni, L. and Ciccotti, G.},
  title = {Time-reversal symmetry for systems in a constant external magnetic field},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2017},
  volume = {96},
  pages = {012160},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.96.012160},
  doi = {https://doi.org/10.1103/PhysRevE.96.012160}
}
Iyyappan, I. and Ponmurugan, M. Relations between the power, efficiency and dissipation for the minimally nonlinear irreversible heat engines 2017 arXiv  article  
BibTeX:
@article{Iyyappan2017_vol,
  author = {Iyyappan, I. and Ponmurugan, M.},
  title = {Relations between the power, efficiency and dissipation for the minimally nonlinear irreversible heat engines},
  journal = {arXiv},
  year = {2017}
}
Ajjawi, I., Verruto, J., Aqui, M., Soriaga, L.B., Coppersmith, J., Kwok, K., Peach, L., Orchard, E., Kalb, R., Xu, W., Carlson, T.J., Francis, K., Konigsfeld, K., Bartalis, J., Schultz, A., Lambert, W., Schwartz, A.S., Brown, R. and Moellering, E.R. Lipid production in Nannochloropsis gaditana is doubled by decreasing expression of a single transcriptional regulator 2017 Nature Biotechnology
Vol. 35(7), pp. 647-652 
article DOI  
BibTeX:
@article{Ajjawi2017vol35,
  author = {Imad Ajjawi and John Verruto and Moena Aqui and Leah B Soriaga and Jennifer Coppersmith and Kathleen Kwok and Luke Peach and Elizabeth Orchard and Ryan Kalb and Weidong Xu and Tom J Carlson and Kristie Francis and Katie Konigsfeld and Judit Bartalis and Andrew Schultz and William Lambert and Ariel S Schwartz and Robert Brown and Eric R Moellering},
  title = {Lipid production in Nannochloropsis gaditana is doubled by decreasing expression of a single transcriptional regulator},
  journal = {Nature Biotechnology},
  publisher = {Springer Science and Business Media LLC},
  year = {2017},
  volume = {35},
  number = {7},
  pages = {647--652},
  doi = {https://doi.org/10.1038/nbt.3865}
}
Friedland, G. and Metere, A. Isomorphism between Maximum Lyapunov Exponent and Shannon's Channel Capacity 2017 arXiv  article  
BibTeX:
@article{Friedland2017_vol,
  author = {Friedland, G. and Metere, A.},
  title = {Isomorphism between Maximum Lyapunov Exponent and Shannon's Channel Capacity},
  journal = {arXiv},
  year = {2017}
}
Maes, C. Frenetic bounds on the entropy production 2017 arXiv  article  
BibTeX:
@article{Maes2017_vol,
  author = {Maes, C.},
  title = {Frenetic bounds on the entropy production},
  journal = {arXiv},
  year = {2017}
}
Shiraishi, N. Stationary engines in and beyond the linear response regime at the Carnot efficiency 2017 Phys. Rev. E
Vol. 95, pp. 052128 
article DOI URL 
BibTeX:
@article{Shiraishi2017_vol95,
  author = {Shiraishi, Naoto},
  title = {Stationary engines in and beyond the linear response regime at the Carnot efficiency},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2017},
  volume = {95},
  pages = {052128},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.95.052128},
  doi = {https://doi.org/10.1103/PhysRevE.95.052128}
}
Choi, Y., Kwon, Y.-S., Jo, S. and Nazarenko, S. Nonstationary distributions of wave intensities in Wave Turbulence 2017 arXiv  article  
BibTeX:
@article{Choi2017_vol,
  author = {Choi, Y. and Kwon, Y.-S. and Jo, S. and Nazarenko, S.},
  title = {Nonstationary distributions of wave intensities in Wave Turbulence},
  journal = {arXiv},
  year = {2017}
}
Cugliandolo, L. and Lecomte, V. Rules of calculus in the path integral representation of white noise Langevin equations 2017 arXiv  article  
BibTeX:
@article{Cugliandolo2017_vol,
  author = {Cugliandolo, L. F. and Lecomte, V.},
  title = {Rules of calculus in the path integral representation of white noise Langevin equations},
  journal = {arXiv},
  year = {2017}
}
Fily, Y., Kafri, Y., Solon, A., Tailleur, J. and Turner, A. Mechanical pressure and momentum conservation in dry active matter 2017 arXiv  article  
BibTeX:
@article{Fily2017_vol,
  author = {Fily, Y. and Kafri, Y. and Solon, A. P. and Tailleur, J. and Turner, A.},
  title = {Mechanical pressure and momentum conservation in dry active matter},
  journal = {arXiv},
  year = {2017}
}
Gingrich, T.R., Rotskoff, G.M. and Horowitz, J.M. Inferring dissipation from current fluctuations 2017 Journal of Physics A: Mathematical and Theoretical
Vol. 50(18), pp. 184004 
article DOI  
BibTeX:
@article{Gingrich2017vol50,
  author = {Gingrich, Todd R and Rotskoff, Grant M and Horowitz, Jordan M},
  title = {Inferring dissipation from current fluctuations},
  journal = {Journal of Physics A: Mathematical and Theoretical},
  publisher = {IOP Publishing},
  year = {2017},
  volume = {50},
  number = {18},
  pages = {184004},
  doi = {https://doi.org/10.1088/1751-8121/aa672f}
}
Horowitz, J. and Kulkarni, R. Stochastic gene expression conditioned on large deviations 2017 arXiv  article  
BibTeX:
@article{Horowitz2017_vol,
  author = {Horowitz, J. M. and Kulkarni, R. V.},
  title = {Stochastic gene expression conditioned on large deviations},
  journal = {arXiv},
  year = {2017}
}
Elouard, C., Herrera-Marti, D.A., Clusel, M. and Auffeves, A. The role of quantum measurement in stochastic thermodynamics {2017} NPJ QUANTUM INFORMATION
Vol. {3} 
article DOI  
Abstract: This article sets up a new formalism to investigate stochastic
thermodynamics in the quantum regime, where stochasticity and irreversibility
primarily come from quantum measurement. In the absence of any bath, we
define a purely quantum component to heat exchange, that corresponds to
energy fluctuations caused by quantum measurement. Energetic and entropic
signatures of measurement-induced irreversibility are then explored for
canonical experiments of quantum optics, and the energetic cost of
counter-acting decoherence is studied on a simple state-stabilizing protocol.
By placing quantum measurement in a central position, our formalism
contributes to bridge a gap between experimental quantum optics and quantum
thermodynamics, and opens new paths to characterize the energetic features of
quantum processing.
BibTeX:
@article{Elouard2017_vol3,
  author = {Elouard, Cyril and Herrera-Marti, David A. and Clusel, Maxime and Auffeves, Alexia},
  title = {The role of quantum measurement in stochastic thermodynamics},
  journal = {NPJ QUANTUM INFORMATION},
  publisher = {NATURE PUBLISHING GROUP},
  year = {2017},
  volume = {3},
  doi = {https://doi.org/10.1038/s41534-017-0008-4}
}
Gabbar, H.A., Stoute, C.B., Steele, D., Simkin, C., Sleeman, T., Newell, D., Paterson, D. and Boafo, E. Evaluation and optimization of thermoelectric generator network for waste heat utilization in nuclear power plants and non-nuclear energy applications 2017 Annals of Nuclear Energy
Vol. 101, pp. 454-464 
article DOI  
BibTeX:
@article{Gabbar2017vol101,
  author = {Hossam A. Gabbar and C.A. Barry Stoute and Derek Steele and Cole Simkin and Thomas Sleeman and David Newell and Dominique Paterson and Emmanuel Boafo},
  title = {Evaluation and optimization of thermoelectric generator network for waste heat utilization in nuclear power plants and non-nuclear energy applications},
  journal = {Annals of Nuclear Energy},
  publisher = {Elsevier BV},
  year = {2017},
  volume = {101},
  pages = {454--464},
  doi = {https://doi.org/10.1016/j.anucene.2016.12.001}
}
Garrahan, J.P. Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables 2017 Phys. Rev. E
Vol. 95, pp. 032134 
article DOI URL 
BibTeX:
@article{Garrahan2017_vol95,
  author = {Garrahan, Juan P.},
  title = {Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2017},
  volume = {95},
  pages = {032134},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.95.032134},
  doi = {https://doi.org/10.1103/PhysRevE.95.032134}
}
Shiraishi, N. Tight-coupling beyond linear response regime 2017 arXiv  article  
BibTeX:
@article{Shiraishi2017_vol,
  author = {Shiraishi, N.},
  title = {Tight-coupling beyond linear response regime},
  journal = {arXiv},
  year = {2017}
}
Weber, M.F. and Frey, E. Master equations and the theory of stochastic path integrals 2017 Rep. Prog. Phys.
Vol. 80(4), pp. 046601 
article DOI URL 
Abstract: This review provides a pedagogic and self-contained introduction to master
equations and to their representation by path integrals. Since the 1930s,
master equations have served as a fundamental tool to understand the role of
fluctuations in complex biological, chemical, and physical systems. Despite
their simple appearance, analyses of master equations most often rely on
low-noise approximations such as the Kramers-“Moyal or the system size
expansion, or require ad-hoc closure schemes for the derivation of low-order
moment equations. We focus on numerical and analytical methods going beyond
the low-noise limit and provide a unified framework for the study of master
equations. After deriving the forward and backward master equations from the
Chapman-“Kolmogorov equation, we show how the two master equations can be
cast into either of four linear partial differential equations (PDEs). Three
of these PDEs are discussed in detail. The first PDE governs the time
evolution of a generalized probability generating function whose basis
depends on the stochastic process under consideration. Spectral methods, WKB
approximations, and a variational approach have been proposed for the
analysis of the PDE. The second PDE is novel and is obeyed by a distribution
that is marginalized over an initial state. It proves useful for the
computation of mean extinction times. The third PDE describes the time
evolution of a -˜generating functional-™, which generalizes the so-called
Poisson representation. Subsequently, the solutions of the PDEs are expressed
in terms of two path integrals: a -˜forward-™ and a -˜backward-™ path
integral. Combined with inverse transformations, one obtains two distinct
path integral representations of the conditional probability distribution
solving the master equations. We exemplify both path integrals in analysing
elementary chemical reactions. Moreover, we show how a well-known path
integral representation of averaged observables can be recovered from them.
Upon expanding the forward and the backward path integrals around stationary
paths, we then discuss and extend a recent method for the computation of rare
event probabilities. Besides, we also derive path integral representations
for processes with continuous state spaces whose forward and backward master
equations admit Kramers-“Moyal expansions. A truncation of the backward
expansion at the level of a diffusion approximation recovers a classic path
integral representation of the (backward) Fokker-“Planck equation. One can
rewrite this path integral in terms of an Onsager-“Machlup function and, for
purely diffusive Brownian motion, it simplifies to the path integral of
Wiener. To make this review accessible to a broad community, we have used the
language of probability theory rather than quantum (field) theory and do not
assume any knowledge of the latter. The probabilistic structures underpinning
various technical concepts, such as coherent states, the Doi-shift, and
normal-ordered observables, are thereby made explicit.
BibTeX:
@article{Weber2017_vol80,
  author = {Markus F Weber and Erwin Frey},
  title = {Master equations and the theory of stochastic path integrals},
  journal = {Rep. Prog. Phys.},
  publisher = {IOP Publishing},
  year = {2017},
  volume = {80},
  number = {4},
  pages = {046601},
  url = {https://doi.org/10.1088%2F1361-6633%2Faa5ae2},
  doi = {https://doi.org/10.1088/1361-6633/aa5ae2}
}
Zakine, R., Solon, A., Gingrich, T. and van Wijland, F. Stochastic Stirling engine operating in contact with active baths 2017 arXiv  article  
BibTeX:
@article{Zakine2017_vol,
  author = {Zakine, R. and Solon, A. and Gingrich, T. and van Wijland, F.},
  title = {Stochastic Stirling engine operating in contact with active baths},
  journal = {arXiv},
  year = {2017}
}
Braunstein, A., Muntoni, A. and Pagnani, A. An analytic approximation of the feasible space of metabolic networks 2017 arXiv  article  
BibTeX:
@article{Braunstein2017_vol,
  author = {Braunstein, A. and Muntoni, A. P. and Pagnani, A.},
  title = {An analytic approximation of the feasible space of metabolic networks},
  journal = {arXiv},
  year = {2017}
}
Gregory, A., Lasenby, J. and Agarwal, A. The Elastic Theory of Shells using Geometric Algebra 2017 Royal Society Open Science, 4, 170065 (2017)  article DOI  
Abstract: We present a novel derivation of the elastic theory of shells. We use the language of Geometric algebra, which allows us to express the fundamental laws in component-free form, thus aiding physical interpretation. It also provides the tools to express equations in an arbitrary coordinate system, which enhances their usefulness. The role of moments and angular velocity, and the apparent use by previous authors of an unphysical angular velocity, has been clarified through the use of a bivector representation. In the linearised theory, clarification of previous coordinate conventions which have been the cause of confusion, is provided, and the introduction of prior strain into the linearised theory of shells is made possible.
BibTeX:
@article{Gregory2017vol,
  author = {Alastair Gregory and Joan Lasenby and Anurag Agarwal},
  title = {The Elastic Theory of Shells using Geometric Algebra},
  journal = {Royal Society Open Science, 4, 170065 (2017)},
  year = {2017},
  doi = {https://doi.org/10.1098/rsos.170065}
}
Mukherji, S. Renormalization group analysis for an asymmetric simple exclusion process 2017 arXiv  article  
BibTeX:
@article{Mukherji2017_vol,
  author = {Mukherji, S.},
  title = {Renormalization group analysis for an asymmetric simple exclusion process},
  journal = {arXiv},
  year = {2017}
}
Neri, I., Roldán, É. and Jülicher, F. Statistics of Infima and Stopping Times of Entropy Production and Applications to Active Molecular Processes 2017 Phys. Rev. X
Vol. 7, pp. 011019 
article DOI URL 
BibTeX:
@article{Neri2017_vol7,
  author = {Neri, Izaak and Roldán, Édgar and Jülicher, Frank},
  title = {Statistics of Infima and Stopping Times of Entropy Production and Applications to Active Molecular Processes},
  journal = {Phys. Rev. X},
  publisher = {American Physical Society},
  year = {2017},
  volume = {7},
  pages = {011019},
  url = {https://link.aps.org/doi/10.1103/PhysRevX.7.011019},
  doi = {https://doi.org/10.1103/PhysRevX.7.011019}
}
Agazzi, A., Dembo, A. and Eckmann, J.-P. Large deviations theory for Markov jump models of chemical reaction networks 2017 arXiv  article  
BibTeX:
@article{Agazzi2017_vol,
  author = {Agazzi, A. and Dembo, A. and Eckmann, J.-P.},
  title = {Large deviations theory for Markov jump models of chemical reaction networks},
  journal = {arXiv},
  year = {2017}
}
Bravetti, A., Cruz, H. and Tapias, D. Contact Hamiltonian mechanics 2017 Annals of Physics
Vol. 376, pp. 17-39 
article DOI  
BibTeX:
@article{Bravetti2017vol376,
  author = {Alessandro Bravetti and Hans Cruz and Diego Tapias},
  title = {Contact Hamiltonian mechanics},
  journal = {Annals of Physics},
  publisher = {Elsevier BV},
  year = {2017},
  volume = {376},
  pages = {17--39},
  doi = {https://doi.org/10.1016/j.aop.2016.11.003}
}
Goldt, S. and Seifert, U. Stochastic Thermodynamics of Learning 2017 Physical Review Letters
Vol. 118(1), pp. 010601 
article DOI  
BibTeX:
@article{Goldt2017vol118,
  author = {Sebastian Goldt and Udo Seifert},
  title = {Stochastic Thermodynamics of Learning},
  journal = {Physical Review Letters},
  publisher = {American Physical Society (APS)},
  year = {2017},
  volume = {118},
  number = {1},
  pages = {010601},
  doi = {https://doi.org/10.1103/physrevlett.118.010601}
}
Mielke, A., Patterson, R.I.A., Peletier, M.A. and Renger, D.R.M. Non-equilibrium Thermodynamical Principles for Chemical Reactions with Mass-Action Kinetics 2017 SIAM Journal on Applied Mathematics
Vol. 77(4), pp. 1562-1585 
article DOI  
BibTeX:
@article{Mielke2017vol77,
  author = {Alexander Mielke and Robert I. A. Patterson and Mark A. Peletier and D. R. Michiel Renger},
  title = {Non-equilibrium Thermodynamical Principles for Chemical Reactions with Mass-Action Kinetics},
  journal = {SIAM Journal on Applied Mathematics},
  publisher = {Society for Industrial &amp; Applied Mathematics (SIAM)},
  year = {2017},
  volume = {77},
  number = {4},
  pages = {1562--1585},
  doi = {https://doi.org/10.1137/16m1102240}
}
Aljaradin, M., Uamusse, M.M. and Persson, K.M. Micro-Hydropower Plant - Energy Solution Used In Rural Areas, Mozambique 2017   article DOI  
BibTeX:
@article{Aljaradin2017vol,
  author = {Aljaradin, Mohammad and Uamusse, Miguel M. and Persson, Kenneth M.},
  title = {Micro-Hydropower Plant - Energy Solution Used In Rural Areas, Mozambique},
  publisher = {Zenodo},
  year = {2017},
  doi = {https://doi.org/10.5281/ZENODO.255257}
}
Apertet, Y. Comment on Carnot efficiency at divergent power output- by Polettini Matteo and Esposito Massimiliano 2017 Europhys. Lett.
Vol. 120(6), pp. 60002 
article URL 
BibTeX:
@article{Apertet2017_vol120,
  author = {Yann Apertet},
  title = {Comment on Carnot efficiency at divergent power output- by Polettini Matteo and Esposito Massimiliano},
  journal = {Europhys. Lett.},
  year = {2017},
  volume = {120},
  number = {6},
  pages = {60002},
  url = {http://stacks.iop.org/0295-5075/120/i=6/a=60002}
}
Aron, C., Biroli, G. and Cugliandolo, L.F. (Non) equilibrium dynamics: a (broken) symmetry of the Keldysh generating functional 2017 arXiv  article  
BibTeX:
@article{Aron2017_vol,
  author = {Aron, C. and Biroli, G. and Cugliandolo, L. F.},
  title = {(Non) equilibrium dynamics: a (broken) symmetry of the Keldysh generating functional},
  journal = {arXiv},
  year = {2017}
}
Benenti, G., Casati, G., Saito, K. and Whitney, R. Fundamental aspects of steady-state conversion of heat to work at the nanoscale 2017 Phys. Rep.
Vol. 694, pp. 1-124 
article DOI URL 
BibTeX:
@article{Benenti2017_vol694,
  author = {Benenti, G. and Casati, G. and Saito, K. and Whitney, R.S.},
  title = {Fundamental aspects of steady-state conversion of heat to work at the nanoscale},
  journal = {Phys. Rep.},
  year = {2017},
  volume = {694},
  pages = {1--124},
  url = {http://www.sciencedirect.com/science/article/pii/S0370157317301540},
  doi = {https://doi.org/10.1016/j.physrep.2017.05.008}
}
Benzaquen, M. and Bouchaud, J.P. A fractional reaction-diffusion description of supply and demand 2017 arXiv  article URL 
BibTeX:
@article{Benzaquen2017_vol,
  author = {Benzaquen, M. and Bouchaud, J. P.},
  title = {A fractional reaction-diffusion description of supply and demand},
  journal = {arXiv},
  year = {2017},
  url = {https://arxiv.org/abs/1704.02638}
}
Borlenghi, S., Lubini, S., Lepri, S. and Fransson, J. Entropy production for complex Langevin equations 2017 arXiv  article URL 
Abstract: We study irreversible processes for nonlinear oscillators networks described
by complex-valued Langevin equations that account for coupling to different
thermo-chemical baths. Dissipation is introduced via non-Hermitian terms in
the Hamiltonian of the model. We apply the stochastic thermodynamics
formalism to compute explicit expressions for the entropy production rates.
We discuss in particular the non-equilibrium steady states of the network
characterised by a constant production rate of entropy and flows of energy
and particle currents. For two specific examples, a one-dimensional chain and
a dimer, numerical calculations are presented. The role of asymmetric
coupling among the oscillators on the entropy production is illustrated.
BibTeX:
@article{Borlenghi2017_vol,
  author = {Borlenghi, S. and Lubini, S. and Lepri, S. and Fransson, J.},
  title = {Entropy production for complex Langevin equations},
  journal = {arXiv},
  year = {2017},
  url = {https://arxiv.org/abs/1704.01566v1}
}
Caticha, A. Entropic Dynamics: Mechanics without Mechanism 2017 arXiv  article URL 
BibTeX:
@article{Caticha2017_vol,
  author = {Caticha, A.},
  title = {Entropic Dynamics: Mechanics without Mechanism},
  journal = {arXiv},
  year = {2017},
  url = {https://arxiv.org/abs/1704.02663}
}
Cornu, F. and Hilhorst, H.J. Glaubers Ising chain between two thermostats 2017 J. Stat. Mech: Theory Exp.
Vol. 2017(4), pp. 043207 
article URL 
BibTeX:
@article{Cornu2017_vol2017,
  author = {F Cornu and H J Hilhorst},
  title = {Glaubers Ising chain between two thermostats},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2017},
  volume = {2017},
  number = {4},
  pages = {043207},
  url = {http://stacks.iop.org/1742-5468/2017/i=4/a=043207}
}
Grafke, T., Schäfer, T. and Vanden-Eijnden, E. Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools 2017 Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science, pp. 17-55  inbook DOI URL 
Abstract: Small random perturbations may have a dramatic impact on the long time
evolution of dynamical systems, and large deviation theory is often the right
theoretical framework to understand these effects. At the core of the theory
lies the minimization of an action functional, which in many cases of
interest has to be computed by numerical means. Here we review the
theoretical and computational aspects behind these calculations, and propose
an algorithm that simplifies the geometric minimum action method to minimize
the action in the space of arc-length parametrized curves. We then illustrate
this algorithm's capabilities by applying it to various examples from
material sciences, fluid dynamics, atmosphere/ocean sciences, and reaction
kinetics. In terms of models, these examples involve stochastic (ordinary or
partial) differential equations with multiplicative noise, Markov jump
processes, and systems with fast and slow degrees of freedom, which all
violate detailed balance, so that simpler computational methods are not
applicable.
BibTeX:
@inbook{Grafke2016vol,
  author = {Grafke, Tobias and Schäfer, Tobias and Vanden-Eijnden, Eric},
  title = {Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools},
  booktitle = {Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science},
  publisher = {Springer New York},
  year = {2017},
  pages = {17--55},
  url = {https://doi.org/10.1007/978-1-4939-6969-2_2},
  doi = {https://doi.org/10.1007/978-1-4939-6969-2_2}
}
Heimburg, T. Linear nonequilibrium thermodynamics of reversible periodic processes and chemical oscillations 2017 Physical Chemistry Chemical Physics
Vol. 19(26), pp. 17331-17341 
article DOI  
BibTeX:
@article{Heimburg2017vol19,
  author = {Heimburg, Thomas},
  title = {Linear nonequilibrium thermodynamics of reversible periodic processes and chemical oscillations},
  journal = {Physical Chemistry Chemical Physics},
  publisher = {Royal Society of Chemistry (RSC)},
  year = {2017},
  volume = {19},
  number = {26},
  pages = {17331--17341},
  doi = {https://doi.org/10.1039/c7cp02189e}
}
Lazarescu, A. Generic Dynamical Phase Transition in One-Dimensional Bulk-Driven Lattice Gases with Exclusion 2017 arXiv  article  
BibTeX:
@article{Lazarescu2017_vol,
  author = {Alexandre Lazarescu},
  title = {Generic Dynamical Phase Transition in One-Dimensional Bulk-Driven Lattice Gases with Exclusion},
  journal = {arXiv},
  year = {2017}
}
Macdonald, A. A Survey ofGeometric Algebra and Geometric Calculus 2017 Adv. Appl. Cliff. Alg.
Vol. 27, pp. 853891 
article  
Abstract: This paper is an introduction to geometric algebra and geometric calculus,
presented in the simplest way I could manage, without worrying too much about
completeness or rigor. An understanding of linear algebra and vector calculus
is presumed. This should be sufficient to read most of the paper.
BibTeX:
@article{Macdonaldvol,
  author = {Alan Macdonald},
  title = {A Survey ofGeometric Algebra and Geometric Calculus},
  journal = {Adv. Appl. Cliff. Alg.},
  year = {2017},
  volume = {27},
  pages = {853891}
}
Pechersky, E., Pirogov, S., Schütz, G.M., Vladimirov, A. and Yambartsev, A. Large fluctuations of radiation in stochastically activated two-level systems 2017 Journal of Physics A: Mathematical and Theoretical
Vol. 50(45), pp. 455203 
article URL 
Abstract: We study large fluctuations of emitted radiation in the system of N
non-interacting two-level atoms. Two methods are used to calculate the
probability of large fluctuations and the time dependence of excitation and
emission. The first method is based on the large deviation principle for
Markov processes. The second one uses an analogue of the quantum formalism
for classical probability problems. Particularly we prove that in a large
fluctuation limit approximately half of the atoms are excited. This fact is
independent on the fraction of the excited atoms in equilibrium.
BibTeX:
@article{Pechersky2017_vol50,
  author = {E Pechersky and S Pirogov and G M Schütz and A Vladimirov and A Yambartsev},
  title = {Large fluctuations of radiation in stochastically activated two-level systems},
  journal = {Journal of Physics A: Mathematical and Theoretical},
  year = {2017},
  volume = {50},
  number = {45},
  pages = {455203},
  url = {http://stacks.iop.org/1751-8121/50/i=45/a=455203}
}
Pigolotti, S., Neri, I., Roldán, É. and Jülicher, F. Generic Properties of Stochastic Entropy Production 2017 arXiv  article URL 
BibTeX:
@article{Pigolotti2017_vol,
  author = {Pigolotti, S. and Neri, I. and Roldán, É and Jülicher, F.},
  title = {Generic Properties of Stochastic Entropy Production},
  journal = {arXiv},
  year = {2017},
  url = {https://arxiv.org/abs/1704.03863}
}
Proesmans, K. and den Broeck, C.V. Discrete-time thermodynamic uncertainty relation 2017 Europhys. Lett.
Vol. 119(2), pp. 20001 
article URL 
Abstract: We generalize the thermodynamic uncertainty relation, providing an entropic
upper bound for average fluxes in time-continuous steady-state systems (G
ingrich T. R. et al ., Phys. Rev. Lett. , 116 (2016) 120601), to
time-discrete Markov chains and to systems under time-symmetric, periodic
driving.
BibTeX:
@article{Proesmans2017_vol119,
  author = {Karel Proesmans and Christian Van den Broeck},
  title = {Discrete-time thermodynamic uncertainty relation},
  journal = {Europhys. Lett.},
  year = {2017},
  volume = {119},
  number = {2},
  pages = {20001},
  url = {http://stacks.iop.org/0295-5075/119/i=2/a=20001}
}
Rax, J.M. Électromagnétisme, Milieux, structures &amp; énergie 2017   book  
BibTeX:
@book{Book_Rax2017,
  author = {Rax, J. M.},
  title = {Électromagnétisme, Milieux, structures &amp; énergie},
  publisher = {deboeck université},
  year = {2017}
}
Smith, E. and Krishnamurthy S. Flows, scaling, and the control of moment hierarchies for stochastic chemical reaction networks 2017 arXiv  article  
BibTeX:
@article{Smith2017_vol,
  author = {Smith, E. and Krishnamurthy, S.,},
  title = {Flows, scaling, and the control of moment hierarchies for stochastic chemical reaction networks},
  journal = {arXiv},
  year = {2017}
}
Sughiyama, Y. and Kobayashi, T.J. The explicit form of the rate function for semi-Markov processes and its contractions 2017 arXiv  article URL 
Abstract: We derive the explicit form of the rate function for semi-Markov processes.
Here, the ''random time change trick'' plays an essential role. Also, by
exploiting the contraction principle of the large deviation theory to the
explicit form, we show that the fluctuation theorem (Gallavotti-Cohen
Symmetry) holds for semi-Markov cases. Furthermore, we elucidate that our
rate function is an extension of the Level 2.5 rate function for Markov
processes to semi-Markov cases.
BibTeX:
@article{Sughiyama2017_vol,
  author = {Sughiyama, Y. and Kobayashi, T. J.},
  title = {The explicit form of the rate function for semi-Markov processes and its contractions},
  journal = {arXiv},
  year = {2017},
  url = {https://arxiv.org/abs/1709.04600}
}
Texier, C. and Roux, G. Physique Statistique 2017   book  
BibTeX:
@book{Texier2017vol,
  author = {C. Texier and G. Roux},
  title = {Physique Statistique},
  publisher = {Dunod (Malakoff)},
  year = {2017}
}
Utsumi, Y. Full counting statistics of information content and particle number 2017 arXiv  article URL 
BibTeX:
@article{Utsumi2017_vol,
  author = {Yasuhiro Utsumi},
  title = {Full counting statistics of information content and particle number},
  journal = {arXiv},
  year = {2017},
  url = {https://arxiv.org/abs/1704.02679}
}
Assaf, M. and Meerson, B. WKB theory of large deviations in stochastic populations 2016 arXiv  article  
Abstract: Stochasticity can play an important role in the dynamics of biologically
relevant populations. These span a broad range of scales: from intra-cellular
populations of molecules to population of cells and then to groups of plants,
animals and people. Large deviations in stochastic population dynamics - such
as those determining population extinction, fixation or switching between
different states - are presently in a focus of attention of statistical
physicists. We review recent progress in applying different variants of
dissipative WKB approximation (after Wentzel, Kramers and Brillouin) to this
class of problems. The WKB approximation allows one to evaluate the mean time
and/or probability of population extinction, fixation and switches resulting
from either intrinsic (demographic) noise, or a combination of the
demographic noise and environmental variations, deterministic or random. We
mostly cover well-mixed populations, single and multiple, but also briefly
consider populations on heterogeneous networks and spatial populations. The
spatial setting also allows one to study large fluctuations of the speed of
biological invasions. Finally, we briefly discuss possible directions of
future work.
BibTeX:
@article{Assaf2016_vol,
  author = {Assaf, M. and Meerson, B.},
  title = {WKB theory of large deviations in stochastic populations},
  journal = {arXiv},
  year = {2016}
}
Barato, A.C. and Seifert, U. Cost and Precision of Brownian Clocks 2016 Phys. Rev. X
Vol. 6, pp. 041053 
article DOI URL 
BibTeX:
@article{Barato2016_vol6,
  author = {Barato, Andre C. and Seifert, Udo},
  title = {Cost and Precision of Brownian Clocks},
  journal = {Phys. Rev. X},
  publisher = {American Physical Society},
  year = {2016},
  volume = {6},
  pages = {041053},
  url = {https://link.aps.org/doi/10.1103/PhysRevX.6.041053},
  doi = {https://doi.org/10.1103/PhysRevX.6.041053}
}
Kurchan, J. Quantum bound to chaos and the semiclassical limit 2016 arXiv  article  
BibTeX:
@article{Kurchan2016_vol,
  author = {Kurchan, J.},
  title = {Quantum bound to chaos and the semiclassical limit},
  journal = {arXiv},
  year = {2016}
}
Rao, R. and Esposito, M. Nonequilibrium Thermodynamics of Chemical Reaction Networks: Wisdom from Stochastic Thermodynamics 2016 Phys. Rev. X
Vol. 6, pp. 041064 
article DOI URL 
BibTeX:
@article{Rao2016_vol6,
  author = {Rao, Riccardo and Esposito, Massimiliano},
  title = {Nonequilibrium Thermodynamics of Chemical Reaction Networks: Wisdom from Stochastic Thermodynamics},
  journal = {Phys. Rev. X},
  publisher = {American Physical Society},
  year = {2016},
  volume = {6},
  pages = {041064},
  url = {http://link.aps.org/doi/10.1103/PhysRevX.6.041064},
  doi = {https://doi.org/10.1103/PhysRevX.6.041064}
}
Turner, R. Efficient path sampling for trajectory ensembles with applications to non-equilibrium systems 2016   phdthesis URL 
Abstract: This thesis utilises large deviation methods to study nonequilibrium
phenomena in both quantum and classical systems. The dynamical analogues of
the ensembles of statistical mechanics are used to explore dynamical phase
spaces of systems, quantifying atypical fluctuations that can play a critical
role in long term behaviour. A dynamical ensemble based on fixed numbers of
dynamical events, allowing trajectory observation time to fluctuate, is
introduced. This ensemble, denoted the x-ensemble, is found to be well suited
to numerically simulate atypical fluctuations using transition path sampling
(TPS). x-ensemble TPS schemes are analysed with reference to existing methods
in both quantum and classical stochastic systems, and are found to offer more
flexibility and efficiency in a variety of situations. The potential to
develop this scheme into a self-optimizing algorithm is discussed with
examples. The x-ensemble is then used in three non-equilibrium scenarios.
Firstly in plaquette models of glass formers, in an effort to provide insight
into the nature of the glass transition. It is shown that a two-dimensional
triangular plaquette model (TPM) exhibits both a trajectory phase-transition
between dynamical active and inactive phases, and when two replicas are
coupled, a thermal phase transition between states of low and high overlap
between the replicas. These two transitions are similar to those seen to
occur in more realistic glass formers. When the TPM is generalised to a
three-dimensional square pyramid plaquette model (SPyM) these dynamical and
thermodynamic features of interest remain. It is argued that these models
therefore provide an ideal test-bed for competing theories of the glass
transition. Secondly the x-ensemble is used to define and analyse the
dynamical analogue of the Jarzynski equality, allowing for the computation of
dynamical free energy differences with, in principle, arbitrarily fast
protocols linking two dynamical states. This relation is tested and found to
hold in open quantum systems. Finally the partition sum zeros method of Lee
and Yang is used to extract the location of dynamical phase transitions from
the high-order, short-time cumulants of the x-ensemble. Results in both
classical and open quantum systems are compared with previously studied
dynamical ensembles, providing insight into the nature in which dynamical
behaviours are encoded by these ensembles.
BibTeX:
@phdthesis{Phdthesis_Turner2016,
  author = {R.M. Turner},
  title = {Efficient path sampling for trajectory ensembles with applications to non-equilibrium systems},
  year = {2016},
  url = {http://eprints.nottingham.ac.uk/38498/}
}
Arita, C., Krapivsky, P. and Mallick, K. Variational calculation of transport coefficients in diffusive lattice gases 2016 arXiv  article  
BibTeX:
@article{Arita2016_vol,
  author = {Arita, C. and Krapivsky, P. L. and Mallick, K.},
  title = {Variational calculation of transport coefficients in diffusive lattice gases},
  journal = {arXiv},
  year = {2016}
}
Cafaro, C. and Ali, S.A. Maximum caliber inference and the stochastic Ising model 2016 Phys. Rev. E
Vol. 94, pp. 052145 
article DOI URL 
BibTeX:
@article{Cafaro2016_vol94,
  author = {Cafaro, Carlo and Ali, Sean Alan},
  title = {Maximum caliber inference and the stochastic Ising model},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {94},
  pages = {052145},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.94.052145},
  doi = {https://doi.org/10.1103/PhysRevE.94.052145}
}
Dettmer, S.L., Nguyen, H.C. and Berg, J. Network inference in the nonequilibrium steady state 2016 Phys. Rev. E
Vol. 94, pp. 052116 
article DOI URL 
BibTeX:
@article{Dettmer2016_vol94,
  author = {Dettmer, Simon L. and Nguyen, H. Chau and Berg, Johannes},
  title = {Network inference in the nonequilibrium steady state},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {94},
  pages = {052116},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.94.052116},
  doi = {https://doi.org/10.1103/PhysRevE.94.052116}
}
Goldenfeld, N. and Shih, H.-Y. Turbulence as a problem in non-equilibrium statistical mechanics 2016 arXiv  article  
BibTeX:
@article{Goldenfeld2016_vol,
  author = {Goldenfeld, N. and Shih, H.-Y.},
  title = {Turbulence as a problem in non-equilibrium statistical mechanics},
  journal = {arXiv},
  year = {2016}
}
Polettini, M., Bulnes-Cuetara, G. and Esposito, M. Conservation laws and symmetries in stochastic thermodynamics 2016 Phys. Rev. E
Vol. 94, pp. 052117 
article DOI URL 
BibTeX:
@article{Polettini2016_vol94,
  author = {Matteo Polettini and Gregory Bulnes-Cuetara and Massimiliano Esposito},
  title = {Conservation laws and symmetries in stochastic thermodynamics},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {94},
  pages = {052117},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.94.052117},
  doi = {https://doi.org/10.1103/PhysRevE.94.052117}
}
Polettini, M., Lazarescu, A. and Esposito, M. Tightening the uncertainty principle for stochastic currents 2016 Phys. Rev. E
Vol. 94, pp. 052104 
article DOI URL 
BibTeX:
@article{Polettini2016_vol94a,
  author = {Polettini, M. and Lazarescu, A. and Esposito, M.},
  title = {Tightening the uncertainty principle for stochastic currents},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {94},
  pages = {052104},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.94.052104},
  doi = {https://doi.org/10.1103/PhysRevE.94.052104}
}
Altaner, B., Polettini, M. and Esposito, M. Fluctuation-Dissipation Relations Far from Equilibrium 2016 Phys. Rev. Lett.
Vol. 117, pp. 180601 
article DOI URL 
BibTeX:
@article{Altaner2016_vol117,
  author = {Altaner, Bernhard and Polettini, Matteo and Esposito, Massimiliano},
  title = {Fluctuation-Dissipation Relations Far from Equilibrium},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2016},
  volume = {117},
  pages = {180601},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.117.180601},
  doi = {https://doi.org/10.1103/PhysRevLett.117.180601}
}
Anderson, D.F. and Cotter, S.L. Product-Form Stationary Distributions for Deficiency Zero Networks with Non-mass Action Kinetics 2016 Bulletin of Mathematical Biology
Vol. 78(12), pp. 2390-2407 
article DOI  
BibTeX:
@article{Anderson2016_vol78,
  author = {David F. Anderson and Simon L. Cotter},
  title = {Product-Form Stationary Distributions for Deficiency Zero Networks with Non-mass Action Kinetics},
  journal = {Bulletin of Mathematical Biology},
  publisher = {Springer Nature},
  year = {2016},
  volume = {78},
  number = {12},
  pages = {2390--2407},
  doi = {https://doi.org/10.1007/s11538-016-0220-y}
}
Goto, S.-i. Contact geometric descriptions of vector fields on dually flat spaces and their applications in electric circuit models and nonequilibrium statistical mechanics 2016 Journal of Mathematical Physics
Vol. 57(10), pp. 102702 
article DOI  
BibTeX:
@article{Goto2016vol57,
  author = {Shin-itiro Goto},
  title = {Contact geometric descriptions of vector fields on dually flat spaces and their applications in electric circuit models and nonequilibrium statistical mechanics},
  journal = {Journal of Mathematical Physics},
  publisher = {AIP Publishing},
  year = {2016},
  volume = {57},
  number = {10},
  pages = {102702},
  doi = {https://doi.org/10.1063/1.4964751}
}
Jacquin, H. and Rancon, A. Resummed mean-field inference for strongly coupled data 2016 Phys. Rev. E
Vol. 94, pp. 042118 
article DOI URL 
BibTeX:
@article{Jacquin2016_vol94,
  author = {Jacquin, H. and Rancon, A.},
  title = {Resummed mean-field inference for strongly coupled data},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {94},
  pages = {042118},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.94.042118},
  doi = {https://doi.org/10.1103/PhysRevE.94.042118}
}
Lewintan, P. Geometric Calculus of the Gauss Map 2016 Advances in Applied Clifford Algebras
Vol. 27(1), pp. 503-521 
article DOI  
BibTeX:
@article{Lewintan2016vol27,
  author = {Peter Lewintan},
  title = {Geometric Calculus of the Gauss Map},
  journal = {Advances in Applied Clifford Algebras},
  publisher = {Springer Science and Business Media LLC},
  year = {2016},
  volume = {27},
  number = {1},
  pages = {503--521},
  doi = {https://doi.org/10.1007/s00006-016-0727-1}
}
Proesmans, K., Dreher, Y., Gavrilov, M., Bechhoefer, J. and Van den Broeck, C. Brownian Duet: A Novel Tale of Thermodynamic Efficiency 2016 Phys. Rev. X
Vol. 6, pp. 041010 
article DOI URL 
BibTeX:
@article{Proesmans2016_vol6,
  author = {Proesmans, K. and Dreher, Y. and Gavrilov, M. and Bechhoefer, J and Van den Broeck, C.},
  title = {Brownian Duet: A Novel Tale of Thermodynamic Efficiency},
  journal = {Phys. Rev. X},
  publisher = {American Physical Society},
  year = {2016},
  volume = {6},
  pages = {041010},
  url = {https://link.aps.org/doi/10.1103/PhysRevX.6.041010},
  doi = {https://doi.org/10.1103/PhysRevX.6.041010}
}
Shiraishi, N., Saito, K. and Tasaki, H. Universal Trade-Off Relation between Power and Efficiency for Heat Engines 2016 Phys. Rev. Lett.
Vol. 117, pp. 190601 
article DOI URL 
BibTeX:
@article{Shiraishi2016_vol117,
  author = {Shiraishi, N. and Saito, K. and Tasaki, H.},
  title = {Universal Trade-Off Relation between Power and Efficiency for Heat Engines},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2016},
  volume = {117},
  pages = {190601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.117.190601},
  doi = {https://doi.org/10.1103/PhysRevLett.117.190601}
}
Baek, Y., Kafri, Y. and Lecomte, V. Dynamical symmetry breaking and phase transitions in driven diffusive systems 2016 arXiv  article  
BibTeX:
@article{Baek2016_vol,
  author = {Baek, Y. and Kafri, Y. and Lecomte, V.},
  title = {Dynamical symmetry breaking and phase transitions in driven diffusive systems},
  journal = {arXiv},
  year = {2016}
}
Goupil, C., Ouerdane, H., Herbert, E., Benenti, G., D'Angelo, Y. and Lecoeur, P. Closed-loop approach to thermodynamics 2016 Phys. Rev. E
Vol. 94, pp. 032136 
article DOI URL 
BibTeX:
@article{Goupil2016_vol94,
  author = {Goupil, C. and Ouerdane, H. and Herbert, E. and Benenti, G. and D'Angelo, Y. and Lecoeur, Ph.},
  title = {Closed-loop approach to thermodynamics},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {94},
  pages = {032136},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.94.032136},
  doi = {https://doi.org/10.1103/PhysRevE.94.032136}
}
Murashita, Y. and Esposito, M. Overdamped stochastic thermodynamics with multiple reservoirs 2016 arXiv  article  
BibTeX:
@article{Murashita2016_vol,
  author = {Murashita, Y. and Esposito, M.},
  title = {Overdamped stochastic thermodynamics with multiple reservoirs},
  journal = {arXiv},
  year = {2016}
}
Silva, R., Manzano, G., Skrzypczyk, P. and Brunner, N. Performance of autonomous quantum thermal machines: Hilbert space dimension as a thermodynamical resource 2016 Phys. Rev. E
Vol. 94, pp. 032120 
article DOI URL 
BibTeX:
@article{Silva2016_vol94,
  author = {Silva, Ralph and Manzano, Gonzalo and Skrzypczyk, Paul and Brunner, Nicolas},
  title = {Performance of autonomous quantum thermal machines: Hilbert space dimension as a thermodynamical resource},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {94},
  pages = {032120},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.94.032120},
  doi = {https://doi.org/10.1103/PhysRevE.94.032120}
}
Solon, A., Stenhammar, J., Cates, M., Kafri, Y. and Tailleur, J. Generalized Thermodynamics of Phase Equilibria in Scalar Active Matter 2016 arXiv  article  
BibTeX:
@article{Solon2016_vol,
  author = {Solon, A. P. and Stenhammar, J. and Cates, M. E. and Kafri, Y. and Tailleur, J.},
  title = {Generalized Thermodynamics of Phase Equilibria in Scalar Active Matter},
  journal = {arXiv},
  year = {2016}
}
Tsobgni Nyawo, P. and Touchette, H. Large deviations of the current for driven periodic diffusions 2016 Phys. Rev. E
Vol. 94, pp. 032101 
article DOI URL 
BibTeX:
@article{TsobgniNyawo2016_vol94,
  author = {Tsobgni Nyawo, Pelerine and Touchette, Hugo},
  title = {Large deviations of the current for driven periodic diffusions},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {94},
  pages = {032101},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.94.032101},
  doi = {https://doi.org/10.1103/PhysRevE.94.032101}
}
Venkataramani, G., Parankusam, P., Ramalingam, V. and Wang, J. A review on compressed air energy storage – A pathway for smart grid and polygeneration 2016 Renewable and Sustainable Energy Reviews
Vol. 62, pp. 895-907 
article DOI  
BibTeX:
@article{Venkataramani2016vol62,
  author = {Gayathri Venkataramani and Prasanna Parankusam and Velraj Ramalingam and Jihong Wang},
  title = {A review on compressed air energy storage – A pathway for smart grid and polygeneration},
  journal = {Renewable and Sustainable Energy Reviews},
  publisher = {Elsevier BV},
  year = {2016},
  volume = {62},
  pages = {895--907},
  doi = {https://doi.org/10.1016/j.rser.2016.05.002}
}
Wu, W., Zhang, F. and Wang, J. Potential landscape and flux field theory of turbulence 2016 arXiv  article  
BibTeX:
@article{Wu2016_vol,
  author = {Wu, W. and Zhang, F. and Wang, J.},
  title = {Potential landscape and flux field theory of turbulence},
  journal = {arXiv},
  year = {2016}
}
Baiesi, M., Ciliberto, S., Falasco, G. and Yolcu, C. Thermal response of nonequilibrium RC circuits 2016 Phys. Rev. E
Vol. 94, pp. 022144 
article DOI URL 
BibTeX:
@article{Baiesi2016_vol94,
  author = {Baiesi, Marco and Ciliberto, Sergio and Falasco, Gianmaria and Yolcu, Cem},
  title = {Thermal response of nonequilibrium RC circuits},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {94},
  pages = {022144},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.94.022144},
  doi = {https://doi.org/10.1103/PhysRevE.94.022144}
}
de Miguel, R. and Rubi, J.M. Finite Systems in a Heat Bath: Spectrum Perturbations and Thermodynamics 2016 The Journal of Physical Chemistry B
Vol. 120(34), pp. 9180-9186 
article DOI  
BibTeX:
@article{Miguel2016vol120,
  author = {Rodrigo de Miguel and J. Miguel Rubi},
  title = {Finite Systems in a Heat Bath: Spectrum Perturbations and Thermodynamics},
  journal = {The Journal of Physical Chemistry B},
  publisher = {American Chemical Society (ACS)},
  year = {2016},
  volume = {120},
  number = {34},
  pages = {9180--9186},
  doi = {https://doi.org/10.1021/acs.jpcb.6b05591}
}
Schierz, P., Zierenberg, J. and Janke, W. First-order phase transitions in the real microcanonical ensemble 2016 Phys. Rev. E
Vol. 94, pp. 021301 
article DOI URL 
BibTeX:
@article{Schierz2016_vol94,
  author = {Schierz, Philipp and Zierenberg, Johannes and Janke, Wolfhard},
  title = {First-order phase transitions in the real microcanonical ensemble},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {94},
  pages = {021301},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.94.021301},
  doi = {https://doi.org/10.1103/PhysRevE.94.021301}
}
Speck, T. Thermodynamic formalism and linear response theory for nonequilibrium steady states 2016 Phys. Rev. E
Vol. 94, pp. 022131 
article DOI URL 
BibTeX:
@article{Speck2016_vol94,
  author = {Speck, Thomas},
  title = {Thermodynamic formalism and linear response theory for nonequilibrium steady states},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {94},
  pages = {022131},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.94.022131},
  doi = {https://doi.org/10.1103/PhysRevE.94.022131}
}
Wang, S.-W., Kawaguchi, K., Sasa, S.-i. and Tang, L.-H. Entropy Production of Nanosystems with Time Scale Separation 2016 Phys. Rev. Lett.
Vol. 117, pp. 070601 
article DOI URL 
BibTeX:
@article{Wang2016_vol117,
  author = {Wang, Shou-Wen and Kawaguchi, Kyogo and Sasa, Shin-ichi and Tang, Lei-Han},
  title = {Entropy Production of Nanosystems with Time Scale Separation},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2016},
  volume = {117},
  pages = {070601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.117.070601},
  doi = {https://doi.org/10.1103/PhysRevLett.117.070601}
}
Berthoumieux, H. Fluctuations in reactive networks subject to extrinsic noise studied in the framework of the chemical Langevin equation 2016 Phys. Rev. E
Vol. 94, pp. 012310 
article DOI URL 
BibTeX:
@article{Berthoumieux2016_vol94,
  author = {Berthoumieux, H.},
  title = {Fluctuations in reactive networks subject to extrinsic noise studied in the framework of the chemical Langevin equation},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {94},
  pages = {012310},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.94.012310},
  doi = {https://doi.org/10.1103/PhysRevE.94.012310}
}
Fodor, É., Hayakawa, H., Visco, P. and van Wijland, F. Active cage model of glassy dynamics 2016 Phys. Rev. E
Vol. 94, pp. 012610 
article DOI URL 
BibTeX:
@article{Fodor2016_vol94,
  author = {Fodor, Étienne and Hayakawa, Hisao and Visco, Paolo and van Wijland, Frédéric},
  title = {Active cage model of glassy dynamics},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {94},
  pages = {012610},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.94.012610},
  doi = {https://doi.org/10.1103/PhysRevE.94.012610}
}
Fodor, É., Nardini, C., Cates, M.E., Tailleur, J., Visco, P. and van Wijland, F. How Far from Equilibrium Is Active Matter? 2016 Phys. Rev. Lett.
Vol. 117, pp. 038103 
article DOI URL 
BibTeX:
@article{Fodor2016_vol117,
  author = {Fodor, Étienne and Nardini, Cesare and Cates, Michael E. and Tailleur, Julien and Visco, Paolo and van Wijland, Frédéric},
  title = {How Far from Equilibrium Is Active Matter?},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2016},
  volume = {117},
  pages = {038103},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.117.038103},
  doi = {https://doi.org/10.1103/PhysRevLett.117.038103}
}
Marbach, S. and Bocquet, L. Active Osmotic Exchanger for Efficient Nanofiltration Inspired by the Kidney 2016 Physical Review X
Vol. 6(3), pp. 031008 
article DOI  
BibTeX:
@article{Marbach2016vol6,
  author = {Marbach, Sophie and Bocquet, Lydéric},
  title = {Active Osmotic Exchanger for Efficient Nanofiltration Inspired by the Kidney},
  journal = {Physical Review X},
  publisher = {American Physical Society (APS)},
  year = {2016},
  volume = {6},
  number = {3},
  pages = {031008},
  doi = {https://doi.org/10.1103/physrevx.6.031008}
}
Nemoto, T., Guevara Hidalgo, E. and Lecomte, V. Finite-Time and -Size Scalings in the Evaluation of Large Deviation Functions - Part I: Analytical Study using a Birth-Death Process 2016 arXiv  article  
BibTeX:
@article{Nemoto2016_vol,
  author = {Nemoto, T. and Guevara Hidalgo, E. and Lecomte, V.},
  title = {Finite-Time and -Size Scalings in the Evaluation of Large Deviation Functions - Part I: Analytical Study using a Birth-Death Process},
  journal = {arXiv},
  year = {2016}
}
Park, J.-M., Chun, H.-M. and Noh, J.D. Efficiency at maximum power and efficiency fluctuations in a linear Brownian heat-engine model 2016 Phys. Rev. E
Vol. 94, pp. 012127 
article DOI URL 
BibTeX:
@article{Park2016_vol94,
  author = {Park, Jong-Min and Chun, Hyun-Myung and Noh, Jae Dong},
  title = {Efficiency at maximum power and efficiency fluctuations in a linear Brownian heat-engine model},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {94},
  pages = {012127},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.94.012127},
  doi = {https://doi.org/10.1103/PhysRevE.94.012127}
}
Bouchet, F., Gawedzki, K. and Nardini, C. Perturbative Calculation of Quasi-Potential in Non-equilibrium Diffusions: A Mean-Field Example 2016 J. Stat. Phys.
Vol. 163(5), pp. 1157-1210 
article DOI URL 
Abstract: In stochastic systems with weak noise, the logarithm of the stationary
distribution becomes proportional to a large deviation rate function called
the quasi-potential. The quasi-potential, and its characterization through a
variational problem, lies at the core of the Freidlin--Wentzell large
deviations theory (Freidlin and Wentzell, Random perturbations of dynamical
systems, 2012). In many interacting particle systems, the particle density is
described by fluctuating hydrodynamics governed by Macroscopic Fluctuation
Theory (Bertini et al., arXiv:1404.6466, 2014), which formally fits within
Freidlin--Wentzell's framework with a weak noise proportional to
$$1/backslashsqrtN$$1/N, where N is the number of
particles. The quasi-potential then appears as a natural generalization of
the equilibrium free energy to non-equilibrium particle systems. A key
physical and practical issue is to actually compute quasi-potentials from
their variational characterization for non-equilibrium systems for which
detailed balance does not hold. We discuss how to perform such a computation
perturbatively in an external parameter $$backslashlambda
$$λ, starting from a known quasi-potential for
$$backslashlambda =0$$λ=0. In a general setup,
explicit iterative formulae for all terms of the power-series expansion of
the quasi-potential are given for the first time. The key point is a proof of
solvability conditions that assure the existence of the perturbation
expansion to all orders. We apply the perturbative approach to diffusive
particles interacting through a mean-field potential. For such systems, the
variational characterization of the quasi-potential was proven by Dawson and
Gartner (Stochastics 20:247--308, 1987; Stochastic differential systems, vol
96, pp 1--10, 1987). Our perturbative analysis provides new explicit results
about the quasi-potential and about fluctuations of one-particle observables
in a simple example of mean field diffusions: the Shinomoto--Kuramoto model
of coupled rotators (Prog Theoret Phys 75:1105--1110, [74]). This is one of
few systems for which non-equilibrium free energies can be computed and
analyzed in an effective way, at least perturbatively.
BibTeX:
@article{Bouchet2016_vol163,
  author = {Bouchet, Freddy and Gawedzki, Krzysztof and Nardini, Cesare},
  title = {Perturbative Calculation of Quasi-Potential in Non-equilibrium Diffusions: A Mean-Field Example},
  journal = {J. Stat. Phys.},
  year = {2016},
  volume = {163},
  number = {5},
  pages = {1157--1210},
  url = {https://doi.org/10.1007/s10955-016-1503-2},
  doi = {https://doi.org/10.1007/s10955-016-1503-2}
}
Bogovalov, S. and Borman, V. Separative Power of an Optimised Concurrent Gas Centrifuge 2016 Nuclear Engineering and Technology
Vol. 48(3), pp. 719-726 
article DOI  
BibTeX:
@article{Bogovalov2016vol48,
  author = {Sergey Bogovalov and Vladimir Borman},
  title = {Separative Power of an Optimised Concurrent Gas Centrifuge},
  journal = {Nuclear Engineering and Technology},
  publisher = {Elsevier BV},
  year = {2016},
  volume = {48},
  number = {3},
  pages = {719--726},
  doi = {https://doi.org/10.1016/j.net.2016.01.024}
}
Campisi, M. and Fazio, R. The power of a critical heat engine 2016 Nat. Commun.
Vol. 7, pp. 11895 
article DOI  
BibTeX:
@article{Campisi2016_vol7,
  author = {Campisi, M. and Fazio, R.},
  title = {The power of a critical heat engine},
  journal = {Nat. Commun.},
  year = {2016},
  volume = {7},
  pages = {11895},
  doi = {https://doi.org/10.1038/ncomms11895}
}
Proesmans, K., Cleuren, B. and Van den Broeck, C. Power-Efficiency-Dissipation Relations in Linear Thermodynamics 2016 Phys. Rev. Lett.
Vol. 116, pp. 220601 
article DOI URL 
BibTeX:
@article{Proesmans2016_vol116,
  author = {Proesmans, Karel and Cleuren, Bart and Van den Broeck, Christian},
  title = {Power-Efficiency-Dissipation Relations in Linear Thermodynamics},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2016},
  volume = {116},
  pages = {220601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.116.220601},
  doi = {https://doi.org/10.1103/PhysRevLett.116.220601}
}
Caticha, A. Changes of Variables and the Renormalization Group 2016 arXiv  article  
BibTeX:
@article{Caticha2016_vol,
  author = {Caticha, A.},
  title = {Changes of Variables and the Renormalization Group},
  journal = {arXiv},
  year = {2016}
}
Koleski, G. and Fournier, J.-B. Linear response approximation in effective field theory for the calculation of elastically mediated interactions in one dimension 2016 Phys. Rev. E
Vol. 93, pp. 052128 
article DOI URL 
BibTeX:
@article{Koleski2016_vol93,
  author = {Koleski, Goce and Fournier, Jean-Baptiste},
  title = {Linear response approximation in effective field theory for the calculation of elastically mediated interactions in one dimension},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {93},
  pages = {052128},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.93.052128},
  doi = {https://doi.org/10.1103/PhysRevE.93.052128}
}
Nicolis, G. and Nicolis, C. Detailed balance, nonequilibrium states, and dissipation in symbolic sequences 2016 Phys. Rev. E
Vol. 93, pp. 052134 
article DOI URL 
BibTeX:
@article{Nicolis2016_vol93,
  author = {Nicolis, G. and Nicolis, C.},
  title = {Detailed balance, nonequilibrium states, and dissipation in symbolic sequences},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {93},
  pages = {052134},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.93.052134},
  doi = {https://doi.org/10.1103/PhysRevE.93.052134}
}
Pietzonka, P., Barato, A.C. and Seifert, U. Universal bounds on current fluctuations 2016 Phys. Rev. E
Vol. 93, pp. 052145 
article DOI URL 
BibTeX:
@article{Pietzonka2016_vol93,
  author = {Pietzonka, P. and Barato, A. C. and Seifert, U.},
  title = {Universal bounds on current fluctuations},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {93},
  pages = {052145},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.93.052145},
  doi = {https://doi.org/10.1103/PhysRevE.93.052145}
}
Qian, H. Nonlinear Stochastic Dynamics of Complex Systems, I: A Chemical Reaction Kinetic Perspective with Mesoscopic Nonequilibrium Thermodynamics 2016 arXiv  article  
BibTeX:
@article{Qian2016_vola,
  author = {Qian, H.},
  title = {Nonlinear Stochastic Dynamics of Complex Systems, I: A Chemical Reaction Kinetic Perspective with Mesoscopic Nonequilibrium Thermodynamics},
  journal = {arXiv},
  year = {2016}
}
Speck, T. Stochastic thermodynamics for active matter 2016 EPL (Europhysics Letters)
Vol. 114(3), pp. 30006 
article DOI  
BibTeX:
@article{Speck2016vol114,
  author = {Thomas Speck},
  title = {Stochastic thermodynamics for active matter},
  journal = {EPL (Europhysics Letters)},
  publisher = {IOP Publishing},
  year = {2016},
  volume = {114},
  number = {3},
  pages = {30006},
  doi = {https://doi.org/10.1209/0295-5075/114/30006}
}
Thoma, J.U. Introduction to Bond Graphs and their Applications 2016   book URL 
BibTeX:
@book{Thoma2016vol,
  author = {Jean U. Thoma},
  title = {Introduction to Bond Graphs and their Applications},
  publisher = {Elsevier Science &amp; Techn.},
  year = {2016},
  url = {https://www.ebook.de/de/product/23285889/jean_u_thoma_introduction_to_bond_graphs_and_their_applications.html}
}
Thompson, L. and Qian, H. Nonlinear Stochastic Dynamics of Complex Systems, II: Potential of Entropic Force in Markov Systems with Nonequilibrium Steady State, Generalized Gibbs Function and Criticality 2016 arXiv  article  
BibTeX:
@article{Thompson2016_vol,
  author = {Thompson, L. F. and Qian, H.},
  title = {Nonlinear Stochastic Dynamics of Complex Systems, II: Potential of Entropic Force in Markov Systems with Nonequilibrium Steady State, Generalized Gibbs Function and Criticality},
  journal = {arXiv},
  year = {2016}
}
Baldiotti, M., Fresneda, R. and Molina, C. A Hamiltonian approach to Thermodynamics 2016 arXiv  article  
BibTeX:
@article{Baldiotti2016_vol,
  author = {Baldiotti, M. C. and Fresneda, R. and Molina, C.},
  title = {A Hamiltonian approach to Thermodynamics},
  journal = {arXiv},
  year = {2016}
}
Brandner, K. and Seifert, U. Periodic Thermodynamics of Open Quantum Systems 2016 arXiv  article  
BibTeX:
@article{Brandner2016_vol,
  author = {Brandner, K. and Seifert, U.},
  title = {Periodic Thermodynamics of Open Quantum Systems},
  journal = {arXiv},
  year = {2016}
}
De Decker, Y., Derivaux, J.-F.\c{c}.ç. and Nicolis, G. Stochastic thermodynamics of reactive systems: An extended local equilibrium approach 2016 Phys. Rev. E
Vol. 93, pp. 042127 
article DOI URL 
BibTeX:
@article{DeDecker2016_vol93,
  author = {De Decker, Yannick and Derivaux, Jean-Franifmmode \c{c}else çfiois and Nicolis, Grégoire},
  title = {Stochastic thermodynamics of reactive systems: An extended local equilibrium approach},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {93},
  pages = {042127},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.93.042127},
  doi = {https://doi.org/10.1103/PhysRevE.93.042127}
}
Sasa, S.-i. and Yokokura, Y. Thermodynamic Entropy as a Noether Invariant 2016 Phys. Rev. Lett.
Vol. 116, pp. 140601 
article DOI URL 
BibTeX:
@article{Sasa2016_vol116,
  author = {Sasa, Shin-ichi and Yokokura, Yuki},
  title = {Thermodynamic Entropy as a Noether Invariant},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2016},
  volume = {116},
  pages = {140601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.116.140601},
  doi = {https://doi.org/10.1103/PhysRevLett.116.140601}
}
Yamaguchi, H., Kawaguchi, K. and Sagawa, T. Dynamical Crossover in a Stochastic Model of Cell Fate Decision 2016 arXiv  article  
BibTeX:
@article{Yamaguchi2016_vol,
  author = {Yamaguchi, H. and Kawaguchi, K. and Sagawa, T.},
  title = {Dynamical Crossover in a Stochastic Model of Cell Fate Decision},
  journal = {arXiv},
  year = {2016}
}
Zatloukal, V. Classical field theories from Hamiltonian constraint: Symmetries and conservation laws 2016   article  
Abstract: We discuss the relation between symmetries and conservation laws in the realm
of classical field theories based on the Hamiltonian constraint. In this
approach, spacetime positions and field values are treated on equal footing,
and a generalized multivector-valued momentum is introduced. We derive a
field-theoretic Hamiltonian version of the Noether theorem, and identify
generalized Noether currents with the momentum contracted with
symmetry-generating vector fields. Their relation to the traditional
vectorial Noether currents is then established. Throughout, we employ the
mathematical language of geometric algebra and calculus.
BibTeX:
@article{Zatloukal2016vol,
  author = {Vaclav Zatloukal},
  title = {Classical field theories from Hamiltonian constraint: Symmetries and conservation laws},
  year = {2016}
}
Baez, J.C., Fong, B. and Pollard, B.S. A compositional framework for Markov processes 2016 Journal of Mathematical Physics
Vol. 57(3), pp. 033301 
article DOI  
BibTeX:
@article{Baez2016vol57,
  author = {John C. Baez and Brendan Fong and Blake S. Pollard},
  title = {A compositional framework for Markov processes},
  journal = {Journal of Mathematical Physics},
  publisher = {AIP Publishing},
  year = {2016},
  volume = {57},
  number = {3},
  pages = {033301},
  doi = {https://doi.org/10.1063/1.4941578}
}
Falasco, G. and Kroy, K. Nonisothermal fluctuating hydrodynamics and Brownian motion 2016 Phys. Rev. E
Vol. 93, pp. 032150 
article DOI URL 
BibTeX:
@article{Falasco2016_vol93,
  author = {Falasco, G. and Kroy, K.},
  title = {Nonisothermal fluctuating hydrodynamics and Brownian motion},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {93},
  pages = {032150},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.93.032150},
  doi = {https://doi.org/10.1103/PhysRevE.93.032150}
}
Garc\ia-Garc\ia, R., Lahiri, S. and Lacoste, D. Thermodynamic inference based on coarse-grained data or noisy measurements 2016 Phys. Rev. E
Vol. 93, pp. 032103 
article DOI URL 
BibTeX:
@article{Garcia-Garcia2016_vol93,
  author = {Garc\ia-Garc\ia, Reinaldo and Lahiri, Sourabh and Lacoste, David},
  title = {Thermodynamic inference based on coarse-grained data or noisy measurements},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {93},
  pages = {032103},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.93.032103},
  doi = {https://doi.org/10.1103/PhysRevE.93.032103}
}
Gingrich, T.R., Horowitz, J.M., Perunov, N. and England, J.L. Dissipation Bounds All Steady-State Current Fluctuations 2016 Phys. Rev. Lett.
Vol. 116, pp. 120601 
article DOI URL 
BibTeX:
@article{Gingrich2016_vol116,
  author = {Gingrich, T. R. and Horowitz, J. M. and Perunov, N. and England, J. L.},
  title = {Dissipation Bounds All Steady-State Current Fluctuations},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2016},
  volume = {116},
  pages = {120601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.116.120601},
  doi = {https://doi.org/10.1103/PhysRevLett.116.120601}
}
Ryabov, A. and Holubec, V. Maximum efficiency of steady-state heat engines at arbitrary power 2016 arXiv  article  
BibTeX:
@article{Ryabov2016_vol,
  author = {Ryabov, A. and Holubec, V.},
  title = {Maximum efficiency of steady-state heat engines at arbitrary power},
  journal = {arXiv},
  year = {2016}
}
Smith, N.R. and Meerson, B. Extinction of oscillating populations 2016 Phys. Rev. E
Vol. 93, pp. 032109 
article DOI URL 
BibTeX:
@article{Smith2016vol93,
  author = {Smith, Naftali R. and Meerson, Baruch},
  title = {Extinction of oscillating populations},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {93},
  pages = {032109},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.93.032109},
  doi = {https://doi.org/10.1103/PhysRevE.93.032109}
}
Turci, F., Royall, C. and Speck, T. Non-Equilibrium Phase Transition in an Atomistic Glassformer: the Connection to Thermodynamics 2016 arXiv  article  
BibTeX:
@article{Turci2016_vol,
  author = {Turci, F. and Royall, C. P. and Speck, T.},
  title = {Non-Equilibrium Phase Transition in an Atomistic Glassformer: the Connection to Thermodynamics},
  journal = {arXiv},
  year = {2016}
}
Amann-Winkel, K., Böhmer R.and Fujara, F., Gainaru, C., Geil, B. and Loerting, T. Colloquium: Water's controversial glass transitions 2016 Rev. Mod. Phys.
Vol. 88, pp. 011002 
article DOI URL 
BibTeX:
@article{Amann-Winkel2016_vol88,
  author = {Amann-Winkel, K. and Böhmer, R.and Fujara, F. and Gainaru, C. and Geil, B. and Loerting, T.},
  title = {Colloquium: Water's controversial glass transitions},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {2016},
  volume = {88},
  pages = {011002},
  url = {http://link.aps.org/doi/10.1103/RevModPhys.88.011002},
  doi = {https://doi.org/10.1103/RevModPhys.88.011002}
}
Braunstein, A., Dall'Asta, L., Semerjian, G. and Zdeborova, L. The large deviations of the whitening process in random constraint satisfaction problems 2016 arXiv  article  
BibTeX:
@article{Braunstein2016_vol,
  author = {Braunstein, A. and Dall'Asta, L. and Semerjian, G. and Zdeborova, L.},
  title = {The large deviations of the whitening process in random constraint satisfaction problems},
  journal = {arXiv},
  year = {2016}
}
Garrahan, J. Classical stochastic dynamics and continuous matrix product states: gauge transformations, conditioned and driven processes, and equivalence of trajectory ensembles 2016 J. Stat. Mech: Theory Exp.
Vol. 2016(7), pp. 073208 
article DOI URL 
Abstract: Borrowing ideas from open quantum systems, we describe a formalism to encode
ensembles of trajectories of classical stochastic dynamics in terms of
continuous matrix product states (cMPSs). We show how to define in this
approach -˜biased-™ or -˜conditioned-™ ensembles where the probability of
trajectories is biased from that of the natural dynamics by some condition on
trajectory observables. In particular, we show that the generalised Doob
transform which maps a conditioned process to an equivalent -˜auxiliary-™
or -˜driven-™ process (one where the same conditioned set of trajectories
is generated by a proper stochastic dynamics) is just a gauge transformation
of the corresponding cMPS. We also discuss how within this framework one can
easily prove properties of the dynamics such as trajectory ensemble
equivalence and fluctuation theorems.
BibTeX:
@article{Garrahan2016_vol2016,
  author = {Garrahan, J. P.},
  title = {Classical stochastic dynamics and continuous matrix product states: gauge transformations, conditioned and driven processes, and equivalence of trajectory ensembles},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2016},
  volume = {2016},
  number = {7},
  pages = {073208},
  url = {http://dx.doi.org/10.1088/1742-5468/2016/07/073208},
  doi = {https://doi.org/10.1088/1742-5468/2016/07/073208}
}
Grabsch, A. and Texier, C. Distribution of spectral linear statistics on random matrices beyond the large deviation function -- Wigner time delay in multichannel disordered wires 2016 arXiv  article  
BibTeX:
@article{Grabsch2016_vol,
  author = {Grabsch, A. and Texier, C.},
  title = {Distribution of spectral linear statistics on random matrices beyond the large deviation function -- Wigner time delay in multichannel disordered wires},
  journal = {arXiv},
  year = {2016}
}
Hoppenau, J., Nickelsen, D. and Engel, A. Level 2 large deviation functionals for systems with and without detailed balance 2016 arXiv  article  
BibTeX:
@article{Hoppenau2016_vol,
  author = {Hoppenau, J. and Nickelsen, D. and Engel, A.},
  title = {Level 2 large deviation functionals for systems with and without detailed balance},
  journal = {arXiv},
  year = {2016}
}
Martelloni, G., Martelloni, G., de Buyl, P. and Fanelli, D. Generalized maximum entropy approach to quasistationary states in long-range systems 2016 Phys. Rev. E
Vol. 93, pp. 022107 
article DOI URL 
Abstract: Systems with long-range interactions display a short-time relaxation towards
quasistationary states (QSSs) whose lifetime increases with the system size.
In the paradigmatic Hamiltonian mean-field model (HMF) out-of-equilibrium
phase transitions are predicted and numerically detected which separate
homogeneous (zero magnetization) and inhomogeneous (nonzero magnetization)
QSSs. In the former regime, the velocity distribution presents (at least) two
large, symmetric bumps, which cannot be self-consistently explained by
resorting to the conventional Lynden-Bell maximum entropy approach. We
propose a generalized maximum entropy scheme which accounts for the
pseudoconservation of additional charges, the even momenta of the
single-particle distribution. These latter are set to the asymptotic values,
as estimated by direct integration of the underlying Vlasov equation, which
formally holds in the thermodynamic limit. Methodologically, we operate in
the framework of a generalized Gibbs ensemble, as sometimes defined in
statistical quantum mechanics, which contains an infinite number of conserved
charges. The agreement between theory and simulations is satisfying, both
above and below the out-of-equilibrium transition threshold. A previously
unaccessible feature of the QSSs, the multiple bumps in the velocity profile,
is resolved by our approach.
BibTeX:
@article{Martelloni2016_vol93,
  author = {Martelloni, Gabriele and Martelloni, Gianluca and de Buyl, Pierre and Fanelli, Duccio},
  title = {Generalized maximum entropy approach to quasistationary states in long-range systems},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {93},
  pages = {022107},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.93.022107},
  doi = {https://doi.org/10.1103/PhysRevE.93.022107}
}
Borlenghi, S. Gauge invariance and geometric phase in nonequilibrium thermodynamics 2016 Phys. Rev. E
Vol. 93, pp. 012133 
article DOI URL 
BibTeX:
@article{Borlenghi2016_vol93,
  author = {Borlenghi, Simone},
  title = {Gauge invariance and geometric phase in nonequilibrium thermodynamics},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {93},
  pages = {012133},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.93.012133},
  doi = {https://doi.org/10.1103/PhysRevE.93.012133}
}
Qian, H., Kjelstrup, S., Kolomeisky, A. and Bedeaux, D. Entropy Production in Mesoscopic Stochastic Thermodynamics: Nonequilibrium Kinetic Cycles Driven by Chemical Potentials, Temperatures, and Mechanical Forces 2016 arXiv  article  
BibTeX:
@article{Qian2016_vol,
  author = {Qian, H. and Kjelstrup, S. and Kolomeisky, A. B. and Bedeaux, D.},
  title = {Entropy Production in Mesoscopic Stochastic Thermodynamics: Nonequilibrium Kinetic Cycles Driven by Chemical Potentials, Temperatures, and Mechanical Forces},
  journal = {arXiv},
  year = {2016}
}
Schmidtke, D. and Gemmer, J. Numerical evidence for approximate consistency and Markovianity of some quantum histories in a class of finite closed spin systems 2016 Phys. Rev. E
Vol. 93, pp. 012125 
article DOI URL 
BibTeX:
@article{Schmidtke2016_vol93,
  author = {Schmidtke, Daniel and Gemmer, Jochen},
  title = {Numerical evidence for approximate consistency and Markovianity of some quantum histories in a class of finite closed spin systems},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {93},
  pages = {012125},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.93.012125},
  doi = {https://doi.org/10.1103/PhysRevE.93.012125}
}
Shim, P.-S., Chun, H.-M. and Noh, J.D. Macroscopic time-reversal symmetry breaking at a nonequilibrium phase transition 2016 Phys. Rev. E
Vol. 93, pp. 012113 
article DOI URL 
BibTeX:
@article{Pyoung2016_PRE,
  author = {Shim, Pyoung-Seop and Chun, Hyun-Myung and Noh, Jae Dong},
  title = {Macroscopic time-reversal symmetry breaking at a nonequilibrium phase transition},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {93},
  pages = {012113},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.93.012113},
  doi = {https://doi.org/10.1103/PhysRevE.93.012113}
}
Altaner, B., Polettini, M. and Esposito, M. Local nonequilibrium fluctuation-dissipation relations 2016 arXiv  article  
BibTeX:
@article{Altaner2016_vol,
  author = {Altaner, B. and Polettini, M. and Esposito, M.},
  title = {Local nonequilibrium fluctuation-dissipation relations},
  journal = {arXiv},
  year = {2016}
}
Barci, D.G., Arenas, Z.G. and Moreno, M.V. Path integral approach to nonequilibrium potentials in multiplicative Langevin dynamics 2016 Europhys. Lett.
Vol. 113(1), pp. 10009 
article URL 
Abstract: We present a path integral formalism to compute potentials for nonequilibrium
steady states, reached by a multiplicative stochastic dynamics. We develop a
weak-noise expansion, which allows the explicit evaluation of the potential
in arbitrary dimensions and for any stochastic prescription. We apply this
general formalism to study noise-induced phase transitions. We focus on a
class of multiplicative stochastic lattice models and compute the
steady-state phase diagram in terms of the noise intensity and the lattice
coupling. We obtain, under appropriate conditions, an ordered phase induced
by noise. By computing entropy production, we show that microscopic
irreversibility is a necessary condition to develop noise-induced phase
transitions. This property of the nonequilibrium stationary state has no
relation with the initial stages of the dynamical evolution, in contrast with
previous interpretations, based on the short-time evolution of the order
parameter.
BibTeX:
@article{Barci2016_vol113,
  author = {Daniel G. Barci and Zochil Gonz�lez Arenas and Miguel Vera Moreno},
  title = {Path integral approach to nonequilibrium potentials in multiplicative Langevin dynamics},
  journal = {Europhys. Lett.},
  year = {2016},
  volume = {113},
  number = {1},
  pages = {10009},
  url = {http://stacks.iop.org/0295-5075/113/i=1/a=10009}
}
Bierkens, J., Chernyak, V.Y., Chertkov, M. and Kappen, H.J. Linear PDEs and eigenvalue problems corresponding to ergodic stochastic optimization problems on compact manifolds 2016 J. Stat. Mech: Theory Exp.
Vol. 2016(1), pp. 013206 
article URL 
Abstract: Long term average or 'ergodic' optimal control problems on a compact manifold
are considered. The problems exhibit a special structure which is typical of
control problems related to large deviations theory: Control is exerted in
all directions and the control costs are proportional to the square of the
norm of the control field with respect to the metric induced by the noise.
The long term stochastic dynamics on the manifold will be completely
characterized by the long term density ρ and the long term current
density J . As such, control problems may be reformulated as variational
problems over ρ and J . The density ρ is paired in the cost
functional with a state dependent cost function V , and the current density
J is paired with a vector potential or gauge field A . We discuss several
optimization problems: the problem in which both ρ and J are varied
freely, the problem in which ρ is fixed and the one in which J is
fixed. These problems lead to different kinds of operator problems: linear
PDEs in the first two cases and a nonlinear PDE in the latter case. These
results are obtained through a variational principle using infinite
dimensional Lagrange multipliers. In the case where the initial dynamics are
reversible the optimally controlled diffusion is also reversible. The
particular case of constraining the dynamics to be reversible of the
optimally controlled process leads to a linear eigenvalue problem for the
square root of the density process.
BibTeX:
@article{Bierkens2016_vol2016,
  author = {Joris Bierkens and Vladimir Y Chernyak and Michael Chertkov and Hilbert J Kappen},
  title = {Linear PDEs and eigenvalue problems corresponding to ergodic stochastic optimization problems on compact manifolds},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2016},
  volume = {2016},
  number = {1},
  pages = {013206},
  url = {http://stacks.iop.org/1742-5468/2016/i=1/a=013206}
}
Bromborsky, A. An Introduction to Geometric Algebra and Calculus 2016   article  
BibTeX:
@article{Bromborsky2016,
  author = {Alan Bromborsky},
  title = {An Introduction to Geometric Algebra and Calculus},
  year = {2016}
}
Elouard, C., Herrera Marti, D., Clusel, M. and Auffèves, A. Stochastic thermodynamics in the quantum regime: From quantum measurement to quantum trajectories 2016 arXiv  article  
BibTeX:
@article{Elouard2016_vol,
  author = {Elouard, C. and Herrera Marti, D. and Clusel, M. and Auffèves, A.},
  title = {Stochastic thermodynamics in the quantum regime: From quantum measurement to quantum trajectories},
  journal = {arXiv},
  year = {2016}
}
Falasco, G. and Baiesi, M. Nonequilibrium temperature response for stochastic overdamped systems 2016 New J. Phys.
Vol. 18(4), pp. 043039 
article URL 
Abstract: The thermal response of nonequilibrium systems requires the knowledge of
concepts that go beyond entropy production. This is showed for systems
obeying overdamped Langevin dynamics, either in steady states or going
through a relaxation process. Namely, we derive the linear response to
perturbations of the noise intensity, mapping it onto the quadratic response
to a constant small force. The latter, displaying divergent terms, is
explicitly regularised with a novel path-integral method. The nonequilibrium
equivalents of heat capacity and thermal expansion coefficient are two
applications of this approach, as we show with numerical examples.
BibTeX:
@article{Falasco2016_vol18a,
  author = {G Falasco and M Baiesi},
  title = {Nonequilibrium temperature response for stochastic overdamped systems},
  journal = {New J. Phys.},
  year = {2016},
  volume = {18},
  number = {4},
  pages = {043039},
  url = {http://stacks.iop.org/1367-2630/18/i=4/a=043039}
}
Falasco, G., Baldovin, F., Kroy, K. and Baiesi, M. Mesoscopic virial equation for nonequilibrium statistical mechanics 2016 New J. Phys.
Vol. 18(9), pp. 093043 
article URL 
Abstract: We derive a class of mesoscopic virial equations governing energy partition
between conjugate position and momentum variables of individual degrees of
freedom. They are shown to apply to a wide range of nonequilibrium steady
states with stochastic (Langevin) and deterministic (Nos�-Hoover) dynamics,
and to extend to collective modes for models of heat-conducting lattices. A
macroscopic virial theorem ensues upon summation over all degrees of freedom.
It allows for the derivation of generalised (nonequilibrium) equations of
state that involve average dissipative heat flows besides genuine state
variables, as exemplified for inertial Brownian motion with solid friction
and overdamped active Brownian particles subject to inhomogeneous pressure.
BibTeX:
@article{Falasco2016_vol18,
  author = {G Falasco and F Baldovin and K Kroy and M Baiesi},
  title = {Mesoscopic virial equation for nonequilibrium statistical mechanics},
  journal = {New J. Phys.},
  year = {2016},
  volume = {18},
  number = {9},
  pages = {093043},
  url = {http://stacks.iop.org/1367-2630/18/i=9/a=093043}
}
Feidt, M. Thermodynamique et optimisation énergétique des systèmes et procédés 2016   book  
Comment: Plusieurs efficacité calculée pour des cycles connus (Stirling, diesel, etc)
BibTeX:
@book{,
  author = {Michel Feidt},
  title = {Thermodynamique et optimisation énergétique des systèmes et procédés},
  publisher = {Édition Lavoisier},
  year = {2016}
}
Ge, H. and Qian, H. Mathematical Formalism of Nonequilibrium Thermodynamics for Nonlinear Chemical Reaction Systems with General Rate Law 2016 arXiv  article  
BibTeX:
@article{Ge2016_vol,
  author = {Ge, H. and Qian, H.},
  title = {Mathematical Formalism of Nonequilibrium Thermodynamics for Nonlinear Chemical Reaction Systems with General Rate Law},
  journal = {arXiv},
  year = {2016}
}
Hoppenau, J., Nickelsen, D. and Engel, A. Level 2 and level 2.5 large deviation functionals for systems with and without detailed balance 2016 New J. Phys.
Vol. 18(8), pp. 083010 
article URL 
Abstract: Large deviation functions are an essential tool in the statistics of rare
events. Often they can be obtained by contraction from a so-called level 2 or
level 2.5 large deviation functional characterizing the empirical density and
current of the underlying stochastic process. For Langevin systems obeying
detailed balance, the explicit form of the level 2 functional has been known
ever since the mathematical work of Donsker and Varadhan. We rederive the
Donsker-Varadhan result using stochastic path-integrals. We than generalize
the derivation to level 2.5 large deviation functionals for non-equilibrium
steady states and elucidate the relation between the large deviation
functionals and different notions of entropy production in stochastic
thermodynamics. Finally, we discuss some aspects of the contractions to level
1 large deviation functions and illustrate our findings with examples.
BibTeX:
@article{Hoppenau2016_vol18,
  author = {J Hoppenau and D Nickelsen and A Engel},
  title = {Level 2 and level 2.5 large deviation functionals for systems with and without detailed balance},
  journal = {New J. Phys.},
  year = {2016},
  volume = {18},
  number = {8},
  pages = {083010},
  url = {http://stacks.iop.org/1367-2630/18/i=8/a=083010}
}
Kafri, Y. Large deviations (cours Beg-Rohu) 2016   unpublished  
BibTeX:
@unpublished{Notes_Kafri2016,
  author = {Kafri, Y.},
  title = {Large deviations (cours Beg-Rohu)},
  year = {2016}
}
Koning, J. and Indekeu, J.O. Engines with ideal efficiency and nonzero power for sublinear transport laws 2016 J. Eur. Phys. J. B
Vol. 89(11), pp. 248 
article DOI URL 
BibTeX:
@article{Koning2016_vol89,
  author = {Koning, J. and Indekeu, J. O.},
  title = {Engines with ideal efficiency and nonzero power for sublinear transport laws},
  journal = {J. Eur. Phys. J. B},
  year = {2016},
  volume = {89},
  number = {11},
  pages = {248},
  url = {http://dx.doi.org/10.1140/epjb/e2016-70297-9},
  doi = {https://doi.org/10.1140/epjb/e2016-70297-9}
}
Laffargue, T., Tailleur, J. and van Wijland, F. Lyapunov exponents of stochastic systems from micro to macro 2016 J. Stat. Mech: Theory Exp.
Vol. 2016(3), pp. 034001 
article URL 
Abstract: Lyapunov exponents of dynamical systems are defined from the rates of
divergence of nearby trajectories. For stochastic systems, one typically
assumes that these trajectories are generated under the -˜same noise
realization-™. The purpose of this work is to critically examine what this
expression means. For Brownian particles, we consider two natural
interpretations of the noise: intrinsic to the particles or stemming from the
fluctuations of the environment. We show how they lead to different
distributions of the largest Lyapunov exponent as well as different
fluctuating hydrodynamics for the collective density field. We discuss, both
at microscopic and macroscopic levels, the limits in which these noise
prescriptions become equivalent. We close this paper by providing an estimate
of the largest Lyapunov exponent and of its fluctuations for interacting
particles evolving with Dean-Kawasaki dynamics.
BibTeX:
@article{Laffargue2016_vol2016,
  author = {Tanguy Laffargue and Julien Tailleur and Frédéric van Wijland},
  title = {Lyapunov exponents of stochastic systems from micro to macro},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2016},
  volume = {2016},
  number = {3},
  pages = {034001},
  url = {http://stacks.iop.org/1742-5468/2016/i=3/a=034001}
}
Macdonald, A. An elementary construction of the geometric algebra 2016   article URL 
BibTeX:
@article{Macdonald2016vol,
  author = {Alan Macdonald},
  title = {An elementary construction of the geometric algebra},
  year = {2016},
  url = {http://www.faculty.luther.edu/ macdonal/laga/GAConstructLAGA.html}
}
Martiniani, S., Schrenk, K., Stevenson, J., Wales, D. and Frenkel, D. Structural analysis of high-dimensional basins of attraction 2016 arXiv  article  
BibTeX:
@article{Martiniani2016_vol,
  author = {Martiniani, S. and Schrenk, K. J. and Stevenson, J. D. and Wales, D. J. and Frenkel, D.},
  title = {Structural analysis of high-dimensional basins of attraction},
  journal = {arXiv},
  year = {2016}
}
Mehen, T. Notes on Baker-Campbell-Hausdorff (BCH) Formulae 2016   unpublished  
BibTeX:
@unpublished{Notes_Mehen2016,
  author = {Thomas Mehen},
  title = {Notes on Baker-Campbell-Hausdorff (BCH) Formulae},
  year = {2016}
}
Morrison, M. and Kinney, J. Modeling multi-particle complexes in stochastic chemical systems 2016 arXiv  article  
BibTeX:
@article{Morrison2016_vol,
  author = {Morrison, M. J. and Kinney, J. B.},
  title = {Modeling multi-particle complexes in stochastic chemical systems},
  journal = {arXiv},
  year = {2016}
}
Orioli, S. and Faccioli, P. Dimensional Reduction of Markov State Models from Renormalization Group Theory 2016 arXiv  article  
BibTeX:
@article{Orioli2016_vol,
  author = {Orioli, S. and Faccioli, P.},
  title = {Dimensional Reduction of Markov State Models from Renormalization Group Theory},
  journal = {arXiv},
  year = {2016}
}
Pietzonka, P., Barato, A.C. and Seifert, U. Universal bound on the efficiency of molecular motors 2016 J. Stat. Mech: Theory Exp.
Vol. 2016(12), pp. 124004 
article URL 
Abstract: The thermodynamic uncertainty relation provides an inequality relating any
mean current, the associated dispersion and the entropy production rate for
arbitrary non-equilibrium steady states. Applying it here to a general model
of a molecular motor running against an external force or torque, we show
that the thermodynamic efficiency of such motors is universally bounded by an
expression involving only experimentally accessible quantities. For motors
pulling cargo through a viscous fluid, a universal bound for the
corresponding Stokes efficiency follows as a variant. A similar result holds
if mechanical force is used to synthesize molecules of high chemical
potential. Crucially, no knowledge of the detailed underlying
mechano-chemical mechanism is required for applying these bounds.
BibTeX:
@article{Pietzonka2016_vol2016,
  author = {Pietzonka, P. and Barato, A. C. and Seifert, U.},
  title = {Universal bound on the efficiency of molecular motors},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2016},
  volume = {2016},
  number = {12},
  pages = {124004},
  url = {http://stacks.iop.org/1742-5468/2016/i=12/a=124004}
}
Pigeon, S. and Xuereb, A. Thermodynamics of trajectories of open quantum systems, step by step 2016 J. Stat. Mech: Theory Exp.
Vol. 2016(6), pp. 063203 
article URL 
Abstract: Thermodynamics of trajectories promises to make possible the thorough
analysis of the dynamical properties of an open quantum system, a
sought-after goal in modern physics. Unfortunately, calculation of the
relevant quantities presents severe challenges. Determining the
large-deviation function that gives access to the full counting statistics
associated with a dynamical order parameter is challenging, if not
impossible, even for systems evolving in a restricted Liouville space. Acting
on the realisation that the salient features of most dynamical systems are
encoded in the first few moments of the counting statistics, in this article
we present a method that gives sequential access to these moments. Our method
allows for obtaining analytical result in several cases, as we illustrate,
and allows using large deviation theory to reinterpret certain well-known
results.
BibTeX:
@article{Pigeon2016_vol2016,
  author = {Simon Pigeon and Andr� Xuereb},
  title = {Thermodynamics of trajectories of open quantum systems, step by step},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2016},
  volume = {2016},
  number = {6},
  pages = {063203},
  url = {http://stacks.iop.org/1742-5468/2016/i=6/a=063203}
}
Proesmans, K., Cleuren, B. and den Broeck, C.V. Linear stochastic thermodynamics for periodically driven systems 2016 J. Stat. Mech: Theory Exp.
Vol. 2016(2), pp. 023202 
article URL 
Abstract: We develop a theory of linear stochastic thermodynamics for general
periodically driven, Markovian systems. Appropriate thermodynamic forces and
fluxes are identified, starting from the entropy production for a Markov
process. Onsager coefficients are evaluated, the Onsager-Casimir relations
are verified, and explicit expressions are given for an expansion in terms of
Fourier components. The results are illustrated on a periodically modulated
two level system including the optimization of the power output.
BibTeX:
@article{Proesmans2016_vol2016,
  author = {Karel Proesmans and Bart Cleuren and Christian Van den Broeck},
  title = {Linear stochastic thermodynamics for periodically driven systems},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2016},
  volume = {2016},
  number = {2},
  pages = {023202},
  url = {http://stacks.iop.org/1742-5468/2016/i=2/a=023202}
}
Romão, J.C. and Silva, J.P. Helicity and Chirality 2016   unpublished  
BibTeX:
@unpublished{Notes_Romao2016,
  author = {J. C. Romão and J. P. Silva},
  title = {Helicity and Chirality},
  year = {2016}
}
Roßnagel, J., Dawkins, S.T., Tolazzi, K.N., Abah, O., Lutz, E., Schmidt-Kaler, F. and Singer, K. A single-atom heat engine 2016 Science
Vol. 352(6283), pp. 325-329 
article DOI URL 
Abstract: Steam locomotives, cars, and the drinking bird toy all convert heat into
useful work as it cycles between two reservoirs at different temperatures.
Usually, the working substance where the heat-work conversion occurs is a
liquid or a gas, consisting of many molecules. Roβnagel et al. have made a
working substance of a single calcium ion in a tapered ion trap. A
laser-cooling beam plays the part of a cold reservoir for the calcium ion,
and in turn, electric field noise acts as a hot reservoir.Science, this issue
p. 325Heat engines convert thermal energy into mechanical work and generally
involve a large number of particles. We report the experimental realization
of a single-atom heat engine. An ion is confined in a linear Paul trap with
tapered geometry and driven thermally by coupling it alternately to hot and
cold reservoirs. The output power of the engine is used to drive a harmonic
oscillation. From direct measurements of the ion dynamics, we were able to
determine the thermodynamic cycles for various temperature differences of the
reservoirs. We then used these cycles to evaluate the power P and efficiency
η of the engine, obtaining values up to P = 3.4 texttimes
10–22 joules per second and η = 0.28%, consistent with
analytical estimations. Our results demonstrate that thermal machines can be
reduced to the limit of single atoms.
BibTeX:
@article{Rosnagel2016_vol352,
  author = {Roßnagel, Johannes and Dawkins, Samuel T. and Tolazzi, Karl N. and Abah, Obinna and Lutz, Eric and Schmidt-Kaler, Ferdinand and Singer, Kilian},
  title = {A single-atom heat engine},
  journal = {Science},
  publisher = {American Association for the Advancement of Science},
  year = {2016},
  volume = {352},
  number = {6283},
  pages = {325--329},
  url = {http://science.sciencemag.org/content/352/6283/325},
  doi = {https://doi.org/10.1126/science.aad6320}
}
Rupprecht, J.-F. and Prost, J. A fresh eye on nonequilibrium systems 2016 Science
Vol. 352(6285), pp. 514-515 
article DOI URL 
BibTeX:
@article{Rupprecht2016_vol352,
  author = {Rupprecht, Jean-Francois and Prost, Jacques},
  title = {A fresh eye on nonequilibrium systems},
  journal = {Science},
  publisher = {American Association for the Advancement of Science},
  year = {2016},
  volume = {352},
  number = {6285},
  pages = {514--515},
  url = {http://science.sciencemag.org/content/352/6285/514},
  doi = {https://doi.org/10.1126/science.aaf4611}
}
Schawe, H. and Hartmann, A.K. Phase transitions of Traveling Salesperson problems solved with linear programming and cutting planes 2016 Europhys. Lett.
Vol. 113(3), pp. 30004 
article URL 
Abstract: The Traveling Salesperson problem asks for the shortest cyclic tour visiting
a set of cities given their pairwise distances and belongs to the NP-hard
complexity class, which means that with all known algorithms in the worst
case instances are not solvable in polynomial time, i.e. , the problem is
hard . However, this does not mean that there are not subsets of the problem
which are easy to solve. To examine numerically transitions from an easy to a
hard phase, a random ensemble of cities in the Euclidean plane, given a
parameter σ , which governs the hardness, is introduced. Here, a
linear programming approach together with suitable cutting planes is applied.
Such algorithms operate outside the space of feasible solutions and are often
used in practical applications but rarely studied in physics so far. We
observe several transitions. To characterize these transitions, scaling
assumptions from continuous phase transitions are applied.
BibTeX:
@article{Schawe2016_vol113,
  author = {Hendrik Schawe and Alexander K. Hartmann},
  title = {Phase transitions of Traveling Salesperson problems solved with linear programming and cutting planes},
  journal = {Europhys. Lett.},
  year = {2016},
  volume = {113},
  number = {3},
  pages = {30004},
  url = {http://stacks.iop.org/0295-5075/113/i=3/a=30004}
}
Verley, G. Nonequilibrium thermodynamic potentials for continuous-time Markov chains 2016 Phys. Rev. E
Vol. 93, pp. 012111 
article DOI URL 
Abstract: We connect the rare fluctuations of an equilibrium (EQ) process and the
typical fluctuations of a nonequilibrium (NE) stationary process. In the
framework of large deviation theory, this observation allows us to introduce
NE thermodynamic potentials. For continuous-time Markov chains, we identify
the relevant pairs of conjugated variables and propose two NE ensembles: one
with fixed dynamics and fluctuating time-averaged variables, and another with
fixed time-averaged variables, but a fluctuating dynamics. Accordingly, we
show that NE processes are equivalent to conditioned EQ processes ensuring
that NE potentials are Legendre dual. We find a variational principle
satisfied by the NE potentials that reach their maximum in the NE stationary
state and whose first derivatives produce the NE equations of state and
second derivatives produce the NE Maxwell relations generalizing the Onsager
reciprocity relations.
BibTeX:
@article{Verley2016_vol93,
  author = {Verley, Gatien},
  title = {Nonequilibrium thermodynamic potentials for continuous-time Markov chains},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {93},
  pages = {012111},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2016_vol93.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2016_vol93.pdf},
  doi = {https://doi.org/10.1103/PhysRevE.93.012111}
}
Vroylandt, H., Bonfils, A. and Verley, G. Efficiency fluctuations of small machines with unknown losses 2016 Phys. Rev. E
Vol. 93, pp. 052123 
article DOI URL 
Abstract: The efficiency statistics of a small thermodynamic machine has been recently
investigated assuming that the total dissipation is a linear combination of
two currents: the input and output currents. Here, we relax this standard
assumption and consider the question of the efficiency fluctuations for a
machine involving three different currents, first in full generality and
second for two different examples. Since the third current may not be
measurable and/or may decrease the machine efficiency, our motivation is to
study the effect of unknown losses in small machines.
BibTeX:
@article{Vroylandt2016_vol93,
  author = {Vroylandt, H. and Bonfils, A. and Verley, G.},
  title = {Efficiency fluctuations of small machines with unknown losses},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2016},
  volume = {93},
  pages = {052123},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Vroylandt2016_vol93.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Vroylandt2016_vol93.pdf},
  doi = {https://doi.org/10.1103/PhysRevE.93.052123}
}
Ye, F.X.-F., Wang, Y. and Qian, H. Stochastic dynamics: Markov chains and random transformations 2016 Discrete and Continuous Dynamical Systems - Series B
Vol. 21(7), pp. 2337-2361 
article DOI URL 
Abstract: Abstract This article outlines an attempt to lay the groundwork for
understanding stochastic dynamical descriptions of biological processes in
terms of a discrete-state space, discrete-time random dynamical system (RDS),
or random transformation approach. Such mathematics is not new for continuous
systems, but the discrete state space formulation significantly reduces the
technical requirements for its introduction to a much broader audiences. In
particular, we establish some elementary contradistinctions between Markov
chain (MC) and RDS descriptions of a stochastic dynamics. It is shown that a
given MC is compatible with many possible RDS, and we study in particular the
corresponding RDS with maximum metric entropy. Specifically, we show an
emergent behavior of an MC with a unique absorbing and aperiodic
communicating class, after all the trajectories of the RDS synchronizes. In
biological modeling, it is now widely acknowledged that stochastic dynamics
is a more complete description of biological reality than deterministic
equations; here we further suggest that the RDS description could be a more
refined description of stochastic dynamics than a Markov process. Possible
applications of discrete-state RDS are systems with fluctuating law of
motion, or environment, rather than inherent stochastic movements of
individuals.
BibTeX:
@article{Ye2016_vol21,
  author = {Felix X.-F. Ye and Yue Wang and Hong Qian},
  title = {Stochastic dynamics: Markov chains and random transformations},
  journal = {Discrete and Continuous Dynamical Systems - Series B},
  year = {2016},
  volume = {21},
  number = {7},
  pages = {2337--2361},
  url = {http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=12937},
  doi = {https://doi.org/10.3934/dcdsb.2016050}
}
Zhou, P. and Li, T. Construction of the landscape for multi-stable systems: Potential landscape, quasi-potential, A-type integral and beyond 2016 J. Chem. Phys.
Vol. 144(9) 
article DOI URL 
BibTeX:
@article{Zhou2016_vol144,
  author = {Zhou, Peijie and Li, Tiejun},
  title = {Construction of the landscape for multi-stable systems: Potential landscape, quasi-potential, A-type integral and beyond},
  journal = {J. Chem. Phys.},
  year = {2016},
  volume = {144},
  number = {9},
  url = {http://scitation.aip.org/content/aip/journal/jcp/144/9/10.1063/1.4943096},
  doi = {https://doi.org/10.1063/1.4943096}
}
Zia, R.K.P., Weiss, J.B., Mandal, D. and Fox-Kemper, B. Manifest and Subtle Cyclic Behavior in Nonequilibrium Steady States 2016 J. Phys. Conf. Ser.
Vol. 750(1), pp. 012003 
article URL 
Abstract: Many interesting phenomena in nature are described by stochastic processes
with irreversible dynamics. To model these phenomena, we focus on a master
equation or a Fokker-Planck equation with rates which violate detailed
balance. When the system settles in a stationary state, it will be a
nonequilibrium steady state (NESS), with time independent probability
distribution as well as persistent probability current loops. The observable
consequences of the latter are explored. In particular, cyclic behavior of
some form must be present: some are prominent and manifest, while others are
more obscure and subtle. We present a theoretical framework to analyze such
properties, introducing the notion of "probability angular momentum" and its
distribution. Using several examples, we illustrate the manifest and subtle
categories and how best to distinguish between them. These techniques can be
applied to reveal the NESS nature of a wide range of systems in a large
variety of areas. We illustrate with one application: variability of ocean
heat content in our climate system.
BibTeX:
@article{Zia2016_vol750,
  author = {R K P Zia and Jeffrey B Weiss and Dibyendu Mandal and Baylor Fox-Kemper},
  title = {Manifest and Subtle Cyclic Behavior in Nonequilibrium Steady States},
  journal = {J. Phys. Conf. Ser.},
  year = {2016},
  volume = {750},
  number = {1},
  pages = {012003},
  url = {http://stacks.iop.org/1742-6596/750/i=1/a=012003}
}
Agarwalla, B.K., Jiang, J.-H. and Segal, D. Full counting statistics of vibrationally assisted electronic conduction: Transport and fluctuations of thermoelectric efficiency 2015 Phys. Rev. B
Vol. 92, pp. 245418 
article DOI URL 
BibTeX:
@article{Agarwalla2015_vol92,
  author = {Agarwalla, Bijay Kumar and Jiang, Jian-Hua and Segal, Dvira},
  title = {Full counting statistics of vibrationally assisted electronic conduction: Transport and fluctuations of thermoelectric efficiency},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2015},
  volume = {92},
  pages = {245418},
  url = {https://link.aps.org/doi/10.1103/PhysRevB.92.245418},
  doi = {https://doi.org/10.1103/PhysRevB.92.245418}
}
Dhar, A., Saito, K. and Roy, A. Energy current cumulants in one-dimensional systems in equilibrium 2015 arXiv  article  
BibTeX:
@article{Dhar2015_vol,
  author = {Dhar, A. and Saito, K. and Roy, A.},
  title = {Energy current cumulants in one-dimensional systems in equilibrium},
  journal = {arXiv},
  year = {2015}
}
Garc\ia-Garc\ia, R., Lahiri, S. and Lacoste, D. Thermodynamic inference based on coarse-grained data or noisy measurements 2015 arXiv  article  
BibTeX:
@article{Garcia-Garcia2015_vol,
  author = {Garc\ia-Garc\ia, R. and Lahiri, S. and Lacoste, D.},
  title = {Thermodynamic inference based on coarse-grained data or noisy measurements},
  journal = {arXiv},
  year = {2015}
}
Rotskoff, G.M. and Crooks, G.E. Optimal control in nonequilibrium systems: Dynamic Riemannian geometry of the Ising model 2015 Phys. Rev. E
Vol. 92, pp. 060102 
article DOI URL 
BibTeX:
@article{Rotskoff2015_vol92,
  author = {Rotskoff, Grant M. and Crooks, Gavin E.},
  title = {Optimal control in nonequilibrium systems: Dynamic Riemannian geometry of the Ising model},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2015},
  volume = {92},
  pages = {060102},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.92.060102},
  doi = {https://doi.org/10.1103/PhysRevE.92.060102}
}
Shah, T., Chattopadhyay, R., Vaidya, K. and Chakraborty, S. Conservative perturbation theory for nonconservative systems 2015 Physical Review E
Vol. 92(6), pp. 062927 
article DOI  
BibTeX:
@article{Shah2015vol92,
  author = {Tirth Shah and Rohitashwa Chattopadhyay and Kedar Vaidya and Sagar Chakraborty},
  title = {Conservative perturbation theory for nonconservative systems},
  journal = {Physical Review E},
  publisher = {American Physical Society (APS)},
  year = {2015},
  volume = {92},
  number = {6},
  pages = {062927},
  doi = {https://doi.org/10.1103/physreve.92.062927}
}
Torkaman, P. and Jafarpour, F.H. Effective stochastic generators for conditioned dynamics at an atypical reaction-diffusion current 2015 Phys. Rev. E
Vol. 92, pp. 062104 
article DOI URL 
BibTeX:
@article{Torkaman2015_vol92,
  author = {Torkaman, P. and Jafarpour, F. H.},
  title = {Effective stochastic generators for conditioned dynamics at an atypical reaction-diffusion current},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2015},
  volume = {92},
  pages = {062104},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.92.062104},
  doi = {https://doi.org/10.1103/PhysRevE.92.062104}
}
Vorberg, D., Wustmann, W., Schomerus, H., Ketzmerick, R. and Eckardt, A. Nonequilibrium steady states of ideal bosonic and fermionic quantum gases 2015 Phys. Rev. E
Vol. 92, pp. 062119 
article DOI URL 
BibTeX:
@article{Vorberg2015_vol92,
  author = {Vorberg, D. and Wustmann, W. and Schomerus, H. and Ketzmerick, R. and Eckardt, A.},
  title = {Nonequilibrium steady states of ideal bosonic and fermionic quantum gases},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2015},
  volume = {92},
  pages = {062119},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.92.062119},
  doi = {https://doi.org/10.1103/PhysRevE.92.062119}
}
Polettini, M., Wachtel, A. and Esposito, M. Dissipation in noisy chemical networks: The role of deficiency 2015 The Journal of Chemical Physics
Vol. 143(18), pp. 184103 
article DOI  
BibTeX:
@article{Polettini2015vol143,
  author = {M. Polettini and A. Wachtel and M. Esposito},
  title = {Dissipation in noisy chemical networks: The role of deficiency},
  journal = {The Journal of Chemical Physics},
  publisher = {AIP Publishing},
  year = {2015},
  volume = {143},
  number = {18},
  pages = {184103},
  doi = {https://doi.org/10.1063/1.4935064}
}
Shiraishi, N. Attainability of Carnot efficiency with autonomous engines 2015 Phys. Rev. E
Vol. 92, pp. 050101 
article DOI URL 
BibTeX:
@article{Shiraishi2015_vol92,
  author = {Shiraishi, N.},
  title = {Attainability of Carnot efficiency with autonomous engines},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2015},
  volume = {92},
  pages = {050101},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.92.050101},
  doi = {https://doi.org/10.1103/PhysRevE.92.050101}
}
Sørdal, V., Bergli, J. and Galperin, Y. Cooling by Heating: Restoration of the Third Law of Thermodynamics 2015 arXiv  article  
BibTeX:
@article{Sordal2015_vol,
  author = {Sørdal, V. B. and Bergli, J. and Galperin, Y. M.},
  title = {Cooling by Heating: Restoration of the Third Law of Thermodynamics},
  journal = {arXiv},
  year = {2015}
}
Altaner, B., Wachtel, A. and Vollmer, J. Fluctuating currents in stochastic thermodynamics. II. Energy conversion and nonequilibrium response in kinesin models 2015 Phys. Rev. E
Vol. 92, pp. 042133 
article DOI URL 
BibTeX:
@article{Altaner2015_vol92,
  author = {Altaner, B. and Wachtel, A. and Vollmer, J.},
  title = {Fluctuating currents in stochastic thermodynamics. II. Energy conversion and nonequilibrium response in kinesin models},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2015},
  volume = {92},
  pages = {042133},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.92.042133},
  doi = {https://doi.org/10.1103/PhysRevE.92.042133}
}
Angeletti, F. and Touchette, H. Diffusions conditioned on occupation measures 2015 arXiv  article  
BibTeX:
@article{Angeletti2015_vol,
  author = {Angeletti, F. and Touchette, H.},
  title = {Diffusions conditioned on occupation measures},
  journal = {arXiv},
  year = {2015}
}
Bravetti, A., Lopez-Monsalvo, C. and Nettel, F. Contact symmetries and Hamiltonian thermodynamics 2015 Annals of Physics
Vol. 361, pp. 377-400 
article DOI  
BibTeX:
@article{Bravetti2015vol361,
  author = {A. Bravetti and C.S. Lopez-Monsalvo and F. Nettel},
  title = {Contact symmetries and Hamiltonian thermodynamics},
  journal = {Annals of Physics},
  publisher = {Elsevier BV},
  year = {2015},
  volume = {361},
  pages = {377--400},
  doi = {https://doi.org/10.1016/j.aop.2015.07.010}
}
Eynard, B., Kimura, T. and Ribault, S. Random matrices 2015 arXiv  article  
Abstract: We provide a self-contained introduction to random matrices. While some
applications are mentioned, our main emphasis is on three different
approaches to random matrix models: the Coulomb gas method and its
interpretation in terms of algebraic geometry, loop equations and their
solution using topological recursion, orthogonal polynomials and their
relation with integrable systems. Each approach provides its own definition
of the spectral curve, a geometric object which encodes all the properties of
a model. We also introduce the two peripheral subjects of counting polygonal
surfaces, and computing angular integrals.
BibTeX:
@article{Eynard2015_vol,
  author = {Eynard, B. and Kimura, T. and Ribault, S.},
  title = {Random matrices},
  journal = {arXiv},
  year = {2015}
}
Gomes, P. An Introduction to Emergent Symmetries 2015 arXiv  article  
Abstract: These are intended to be introductory notes on emergent symmetries, i.e.,
symmetries which manifest themselves in specific sectors of energy in many
systems. The emphasis is on the physical aspects rather than computation
methods. We include some elementary background material and proceed to our
discussion by examining several interesting problems in field theory,
statistical mechanics and condensed matter. These problems illustrate how
some important symmetries, such as Lorentz invariance and supersymmetry,
usually believed to be fundamental, can arise naturally in low-energy regimes
of systems involving a large number of degrees of freedom. The aim is to
discuss how these examples could help us to face other complex and
fundamental problems.
BibTeX:
@article{Gomes2015_vol,
  author = {Gomes, P. R. S.},
  title = {An Introduction to Emergent Symmetries},
  journal = {arXiv},
  year = {2015}
}
Jacquin, H. and Rancon, A. Efficient, fast and principled mean-field inference for strongly coupled data 2015 arXiv  article  
BibTeX:
@article{Jacquin2015_vol,
  author = {Jacquin, H. and Rancon, A.},
  title = {Efficient, fast and principled mean-field inference for strongly coupled data},
  journal = {arXiv},
  year = {2015}
}
Kim, J., Jeong, K., Park, M., Shon, H. and Kim, J. Recent Advances in Osmotic Energy Generation via Pressure-Retarded Osmosis (PRO): A Review 2015 Energies
Vol. 8(10), pp. 11821-11845 
article DOI  
BibTeX:
@article{Kim2015vol8,
  author = {Jihye Kim and Kwanho Jeong and Myoung Park and Ho Shon and Joon Kim},
  title = {Recent Advances in Osmotic Energy Generation via Pressure-Retarded Osmosis (PRO): A Review},
  journal = {Energies},
  publisher = {MDPI AG},
  year = {2015},
  volume = {8},
  number = {10},
  pages = {11821--11845},
  doi = {https://doi.org/10.3390/en81011821}
}
Lacoste, D. and Gaspard, P. Fluctuation relations for equilibrium states with broken discrete or continuous symmetries 2015 arXiv  article  
Abstract: Isometric fluctuation relations are deduced for the fluctuations of the order
parameter in equilibrium systems of condensed-matter physics with broken
discrete or continuous symmetries. These relations are similar to their
analogues obtained for non-equilibrium systems where the broken symmetry is
time reversal. At equilibrium, these relations show that the ratio of the
probabilities of opposite fluctuations goes exponentially with the
symmetry-breaking external field and the magnitude of the fluctuations. These
relations are applied to the Curie-Weiss, Heisenberg, and XY models of
magnetism where the continuous rotational symmetry is broken, as well as to
the q-state Potts model and the p-state clock model where discrete
symmetries are broken. Broken symmetries are also considered in the
anisotropic Curie-Weiss model. For infinite systems, the results are
calculated using large-deviation theory. The relations are also applied to
mean-field models of nematic liquid crystals where the order parameter is
tensorial. Moreover, their extension to quantum systems is also deduced.
BibTeX:
@article{Lacoste2015_vol,
  author = {Lacoste, D. and Gaspard, P.},
  title = {Fluctuation relations for equilibrium states with broken discrete or continuous symmetries},
  journal = {arXiv},
  year = {2015}
}
Leblé, T., Serfaty, S. and Zeitouni, O. Large deviations for the two-dimensional two-component plasma 2015 arXiv  article  
Abstract: We derive a large deviations principle for the two-dimensional two-component
plasma in a box. As a consequence, we obtain a variational representation for
the free energy, and also show that the macroscopic empirical measure of
either positive or negative charges converges to the uniform measure. An
appendix, written by Wei Wu, discusses applications to the supercritical
complex Gaussian multiplicative chaos and to the XY model.
BibTeX:
@article{Leble2015_vol,
  author = {Leblé, T. and Serfaty, S. and Zeitouni, O.},
  title = {Large deviations for the two-dimensional two-component plasma},
  journal = {arXiv},
  year = {2015}
}
Mielke, A., Peletier, M. and Renger, D. A generalization of Onsager's reciprocity relations to gradient flows with nonlinear mobility 2015 arXiv  article  
BibTeX:
@article{Mielke2015_vol,
  author = {Mielke, A. and Peletier, M. A. and Renger, D. R. M.},
  title = {A generalization of Onsager's reciprocity relations to gradient flows with nonlinear mobility},
  journal = {arXiv},
  year = {2015}
}
Nickelsen, D. Markov Processes linking Thermodynamics and Turbulence 2015 arXiv  phdthesis  
Abstract: This PhD thesis deals with the Markov picture of developed turbulence from
the theoretical point of view. The thesis consists of two parts. The first
part introduces stochastic thermodynamics, the second part aims at
transferring the concepts of stochastic thermodynamics to developed
turbulence. / Central in stochastic thermodynamics are Markov processes. An
elementary example is Brownian motion. In contrast to macroscopic
thermodynamics, the work done and the entropy produced for single
trajectories of the Brownian particles are random quantities. Statistical
properties of such fluctuating quantities are central in the field of
stochastic thermodynamics. Prominent results are so-called fluctuation
theorems which express the balance between production and consumption of
entropy and generalise the second law. / Turbulent cascades of eddies are
assumed to be the predominant mechanism of turbulence generation and fix the
statistical properties of developed turbulent flows. An intriguing phenomenon
of developed turbulence, known as small-scale intermittency, are violent
small-scale fluctuations in flow velocity that exceed any Gaussian
prediction. / In analogy to Brownian motion, it is demonstrated in the thesis
how the assumption of the Markov property leads to a Markov process for the
turbulent cascade that is equivalent to the seminal K62 model. In addition to
the K62 model, it is demonstrated how many other models of turbulence can be
written as a Markov process, including scaling laws, multiplicative cascades,
multifractal models and field-theoretic approaches. Based on the various
Markov processes, the production of entropy along the cascade and the
corresponding fluctuation theorems is discussed. In particular, experimental
data indicates that entropy consumption is linked to small-scale
intermittency, and a connection between entropy consumption and an inverse
cascade is suggestive.
BibTeX:
@phdthesis{Phdthesis_Nickelsen2015,
  author = {Nickelsen, D.},
  title = {Markov Processes linking Thermodynamics and Turbulence},
  journal = {arXiv},
  year = {2015}
}
Wachtel, A., Vollmer, J. and Altaner, B. Fluctuating currents in stochastic thermodynamics. I. Gauge invariance of asymptotic statistics 2015 Phys. Rev. E
Vol. 92, pp. 042132 
article DOI URL 
BibTeX:
@article{Wachtel2015_vol92,
  author = {Wachtel, A. and Vollmer, J. and Altaner, B.},
  title = {Fluctuating currents in stochastic thermodynamics. I. Gauge invariance of asymptotic statistics},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2015},
  volume = {92},
  pages = {042132},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.92.042132},
  doi = {https://doi.org/10.1103/PhysRevE.92.042132}
}
Anderson, D.F., Craciun, G., Gopalkrishnan, M. and Wiuf, C. Lyapunov Functions, Stationary Distributions, and Non-equilibrium Potential for Reaction Networks 2015 Bull. Math. Biol.
Vol. 77(9), pp. 1744-1767 
article DOI URL 
Abstract: We consider the relationship between stationary distributions for stochastic
models of reaction systems and Lyapunov functions for their deterministic
counterparts. Specifically, we derive the well-known Lyapunov function of
reaction network theory as a scaling limit of the non-equilibrium potential
of the stationary distribution of stochastically modeled complex balanced
systems. We extend this result to general birth--death models and demonstrate
via example that similar scaling limits can yield Lyapunov functions even for
models that are not complex or detailed balanced, and may even have multiple
equilibria.
BibTeX:
@article{Anderson2015_vol77,
  author = {Anderson, David F. and Craciun, Gheorghe and Gopalkrishnan, Manoj and Wiuf, Carsten},
  title = {Lyapunov Functions, Stationary Distributions, and Non-equilibrium Potential for Reaction Networks},
  journal = {Bull. Math. Biol.},
  year = {2015},
  volume = {77},
  number = {9},
  pages = {1744--1767},
  url = {https://doi.org/10.1007/s11538-015-0102-8},
  doi = {https://doi.org/10.1007/s11538-015-0102-8}
}
Ferraz de Arruda, G., Cozzo, E., Peixoto, T., Rodrigues, F. and Moreno, Y. Epidemic spreading in interconnected networks: a continuous time approach 2015 arXiv  article  
BibTeX:
@article{FerrazdeArruda2015_vol,
  author = {Ferraz de Arruda, G. and Cozzo, E. and Peixoto, T. P. and Rodrigues, F. A. and Moreno, Y.},
  title = {Epidemic spreading in interconnected networks: a continuous time approach},
  journal = {arXiv},
  year = {2015}
}
Franz, S., Parisi, G., Ricci-Tersenghi, F. and Urbani, P. Quasi equilibrium construction for the long time limit of glassy dynamics 2015 arXiv  article  
BibTeX:
@article{Franz2015_vol,
  author = {Franz, S. and Parisi, G. and Ricci-Tersenghi, F. and Urbani, P.},
  title = {Quasi equilibrium construction for the long time limit of glassy dynamics},
  journal = {arXiv},
  year = {2015}
}
Grosberg, A.Y. and Joanny, J.-F. Nonequilibrium statistical mechanics of mixtures of particles in contact with different thermostats 2015 Phys. Rev. E
Vol. 92, pp. 032118 
article DOI URL 
BibTeX:
@article{Grosberg2015_vol92,
  author = {Grosberg, A. Y. and Joanny, J.-F.},
  title = {Nonequilibrium statistical mechanics of mixtures of particles in contact with different thermostats},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2015},
  volume = {92},
  pages = {032118},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.92.032118},
  doi = {https://doi.org/10.1103/PhysRevE.92.032118}
}
Hartich, D., Barato, A. and Seifert, U. Sensory capacity: an information theoretical measure of the performance of a sensor 2015 arXiv  article  
BibTeX:
@article{Hartich2015_vol,
  author = {Hartich, D. and Barato, A. C. and Seifert, U.},
  title = {Sensory capacity: an information theoretical measure of the performance of a sensor},
  journal = {arXiv},
  year = {2015}
}
Jack, R.L. and Sollich, P. Effective interactions and large deviations in stochastic processes {2015} EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
Vol. {224}({12}), pp. {2351-2367} 
article DOI  
Abstract: We discuss the relationships between large deviations in stochastic systems,
and ``effective interactions'' that induce particular rare events. We focus
on the nature of these effective interactions in physical systems with many
interacting degrees of freedom, which we illustrate by reviewing several
recent studies. We describe the connections between effective interactions,
large deviations at ``level 2.5'', and the theory of optimal control.
Finally, we discuss possible physical applications of variational results
associated with those theories.
BibTeX:
@article{Jack2015vol224,
  author = {Jack, R. L. and Sollich, P.},
  title = {Effective interactions and large deviations in stochastic processes},
  journal = {EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS},
  year = {2015},
  volume = {224},
  number = {12},
  pages = {2351--2367},
  doi = {https://doi.org/10.1140/epjst/e2015-02416-9}
}
Proesmans, K., Driesen, C., Cleuren, B. and Van den Broeck, C. Efficiency of single-particle engines 2015 Phys. Rev. E
Vol. 92, pp. 032105 
article DOI URL 
BibTeX:
@article{Proesmans2015_vol92,
  author = {Proesmans, K. and Driesen, C. and Cleuren, B. and Van den Broeck, C.},
  title = {Efficiency of single-particle engines},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2015},
  volume = {92},
  pages = {032105},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.92.032105},
  doi = {https://doi.org/10.1103/PhysRevE.92.032105}
}
Rao, R., Lacoste, D. and Esposito, M. Glucans monomer-exchange dynamics as an open chemical network 2015 arXiv  article  
BibTeX:
@article{Rao2015_vol,
  author = {Rao, R. and Lacoste, D. and Esposito, M.},
  title = {Glucans monomer-exchange dynamics as an open chemical network},
  journal = {arXiv},
  year = {2015}
}
Solano-Carrillo, E. and Millis, A. Theory of Entropy Production in Quantum Many-Body Systems 2015 arXiv  article  
BibTeX:
@article{Solano-Carrillo2015_vol,
  author = {Solano-Carrillo, E. and Millis, A. J.},
  title = {Theory of Entropy Production in Quantum Many-Body Systems},
  journal = {arXiv},
  year = {2015}
}
Bertini, L., Faggionato, A. and Gabrielli, D. Large deviations of the empirical flow for continuous time Markov chains 2015 Annales Henri Poincaré
Vol. 51(3), pp. 867-900 
article DOI URL 
BibTeX:
@article{Bertini2015_vol51,
  author = {Bertini, L. and Faggionato, A. and Gabrielli, D.},
  title = {Large deviations of the empirical flow for continuous time Markov chains},
  journal = {Annales Henri Poincaré},
  publisher = {Institut Henri Poincar�},
  year = {2015},
  volume = {51},
  number = {3},
  pages = {867--900},
  url = {http://dx.doi.org/10.1214/14-AIHP601},
  doi = {https://doi.org/10.1214/14-AIHP601}
}
Pastor-Satorras, R., Castellano, C., Van Mieghem, P. and Vespignani, A. Epidemic processes in complex networks 2015 Rev. Mod. Phys.
Vol. 87, pp. 925-979 
article DOI URL 
BibTeX:
@article{Pastor-Satorras2015_vol87,
  author = {Pastor-Satorras, Romualdo and Castellano, Claudio and Van Mieghem, Piet and Vespignani, Alessandro},
  title = {Epidemic processes in complex networks},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {2015},
  volume = {87},
  pages = {925--979},
  url = {http://link.aps.org/doi/10.1103/RevModPhys.87.925},
  doi = {https://doi.org/10.1103/RevModPhys.87.925}
}
Poulter, J. In defence of negative temperature 2015 arXiv  article  
BibTeX:
@article{Poulter2015_vol,
  author = {Poulter, J.},
  title = {In defence of negative temperature},
  journal = {arXiv},
  year = {2015}
}
Proesmans, K. and Van den Broeck, C. Onsager Coefficients in Periodically Driven Systems 2015 Phys. Rev. Lett.
Vol. 115, pp. 090601 
article DOI URL 
BibTeX:
@article{Proesmans2015_vol115,
  author = {Proesmans, K. and Van den Broeck, C.},
  title = {Onsager Coefficients in Periodically Driven Systems},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2015},
  volume = {115},
  pages = {090601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.115.090601},
  doi = {https://doi.org/10.1103/PhysRevLett.115.090601}
}
De Decker, Y., Garcia Cantú Ros, A. and Nicolis, G. Extended local equilibrium approach to stochastic thermodynamics 2015 The European Physical Journal Special Topics
Vol. 224(5), pp. 947-968 
article DOI URL 
Abstract: A new approach to stochastic thermodynamics is developed, in which the local
equilibrium hypothesis is extended to incorporate the effect of fluctuations.
A fluctuating entropy in the form of a random functional of the fluctuating
state variables is introduced, whose balance equation allows to identify the
stochastic entropy flux and stochastic entropy production. The statistical
properties of these quantities are analyzed and illustrated on representative
examples.
BibTeX:
@article{DeDecker2015_vol224,
  author = {De Decker, Y. and Garcia Cantú Ros, A. and Nicolis, G.},
  title = {Extended local equilibrium approach to stochastic thermodynamics},
  journal = {The European Physical Journal Special Topics},
  year = {2015},
  volume = {224},
  number = {5},
  pages = {947--968},
  url = {https://doi.org/10.1140/epjst/e2015-02438-3},
  doi = {https://doi.org/10.1140/epjst/e2015-02438-3}
}
Bertini, L., Faggionato, A. and Gabrielli, D. Flows, currents, and cycles for Markov chains: Large deviation asymptotics 2015 Stochastic Processes and their Applications
Vol. 125(7), pp. 2786-2819 
article DOI  
BibTeX:
@article{Bertini2015vol125,
  author = {Lorenzo Bertini and Alessandra Faggionato and Davide Gabrielli},
  title = {Flows, currents, and cycles for Markov chains: Large deviation asymptotics},
  journal = {Stochastic Processes and their Applications},
  publisher = {Elsevier BV},
  year = {2015},
  volume = {125},
  number = {7},
  pages = {2786--2819},
  doi = {https://doi.org/10.1016/j.spa.2015.02.001}
}
Cates, M. and Manoharan, V. Testing the Foundations of Classical Entropy: Colloid Experiments 2015 arXiv  article  
BibTeX:
@article{Cates2015_vol,
  author = {Cates, M. E. and Manoharan, V. N.},
  title = {Testing the Foundations of Classical Entropy: Colloid Experiments},
  journal = {arXiv},
  year = {2015}
}
Curtright, T.L. and Zachos, C.K. Elementary results for the fundamental representation of SU(3) 2015 Reports on Mathematical Physics 76 (2015) 401-404  article DOI  
Abstract: A general group element for the fundamental representation of SU(3) is expressed as a second order polynomial in the hermitian generating matrix H, with coefficients consisting of elementary trigonometric functions dependent on the sole invariant det(H), in addition to the group parameter.
BibTeX:
@article{Curtright2015vol,
  author = {Thomas L. Curtright and Cosmas K. Zachos},
  title = {Elementary results for the fundamental representation of SU(3)},
  journal = {Reports on Mathematical Physics 76 (2015) 401-404},
  year = {2015},
  doi = {https://doi.org/10.1016/S0034-4877(15)30040-9}
}
Elouard, C., Auffèves, A. and Clusel, M. Stochastic thermodynamics in the quantum regime 2015 arXiv  article  
BibTeX:
@article{Elouard2015_vol,
  author = {Elouard, C. and Auffèves, A. and Clusel, M.},
  title = {Stochastic thermodynamics in the quantum regime},
  journal = {arXiv},
  year = {2015}
}
Jiang, J.-H., Agarwalla, B.K. and Segal, D. Efficiency Statistics and Bounds for Systems with Broken Time-Reversal Symmetry 2015 Phys. Rev. Lett.
Vol. 115, pp. 040601 
article DOI URL 
BibTeX:
@article{Jiang2015_vol115,
  author = {Jiang, Jian-Hua and Agarwalla, Bijay Kumar and Segal, Dvira},
  title = {Efficiency Statistics and Bounds for Systems with Broken Time-Reversal Symmetry},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2015},
  volume = {115},
  pages = {040601},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.115.040601},
  doi = {https://doi.org/10.1103/PhysRevLett.115.040601}
}
Knoch, F. and Speck, T. Cycle representatives for the coarse-graining of systems driven into a non-equilibrium steady state 2015 arXiv  article  
Abstract: A major current challenge poses the systematic construction of coarse-grained
models that are dynamically consistent, and, moreover, might be used for
systems driven out of thermal equilibrium. Here we present a novel
prescription that extends the Markov state modelling approach to driven
systems. The first step is to construct a complex network of microstates from
detailed atomistic simulations with transition rates that break detailed
balance. The coarse-graining is then carried out in the cycle space of this
network. To this end we introduce the concept of representatives, which stand
for many cycles with similar properties. We show how to find these cycle
communities using well-developed standard algorithms. Removing all cycles
except for the representatives defines the coarse-grained model, which is
mapped back onto a network with far fewer states and renormalized transition
rates that, however, preserve the entropy production of the original network.
Our approach is illustrated and validated for a single driven particle.
BibTeX:
@article{Knoch2015_vol,
  author = {Knoch, F. and Speck, T.},
  title = {Cycle representatives for the coarse-graining of systems driven into a non-equilibrium steady state},
  journal = {arXiv},
  year = {2015}
}
Bertini, L., De Sole, A., Gabrielli, D., Jona-Lasinio, G. and Landim, C. Macroscopic fluctuation theory 2015 Rev. Mod. Phys.
Vol. 87, pp. 593-636 
article DOI URL 
BibTeX:
@article{Bertini2015_vol87,
  author = {Bertini, L. and De Sole, A. and Gabrielli, D. and Jona-Lasinio, G. and Landim, C.},
  title = {Macroscopic fluctuation theory},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {2015},
  volume = {87},
  pages = {593--636},
  url = {http://link.aps.org/doi/10.1103/RevModPhys.87.593},
  doi = {https://doi.org/10.1103/RevModPhys.87.593}
}
Horowitz, J. Diffusion approximations to the chemical master equation only have a consistent stochastic thermodynamics at chemical equilibrium 2015 arXiv  article  
BibTeX:
@article{Horowitz2015_vol,
  author = {Horowitz, J. M.},
  title = {Diffusion approximations to the chemical master equation only have a consistent stochastic thermodynamics at chemical equilibrium},
  journal = {arXiv},
  year = {2015}
}
Ito, S. and Sagawa, T. Information flow and entropy production on Bayesian networks 2015 arXiv  article  
BibTeX:
@article{Ito2015_vol,
  author = {Ito, S. and Sagawa, T.},
  title = {Information flow and entropy production on Bayesian networks},
  journal = {arXiv},
  year = {2015}
}
Ito, S. and Sagawa, T. Maxwell's demon in biochemical signal transduction with feedback loop 2015 Nature Communications
Vol. 6(1) 
article DOI  
BibTeX:
@article{Ito2015vol6,
  author = {Ito, Sosuke and Sagawa, Takahiro},
  title = {Maxwell's demon in biochemical signal transduction with feedback loop},
  journal = {Nature Communications},
  publisher = {Springer Science and Business Media LLC},
  year = {2015},
  volume = {6},
  number = {1},
  doi = {https://doi.org/10.1038/ncomms8498}
}
Lahiri, S., Wang, Y., Esposito, M. and Lacoste, D. Kinetics and thermodynamics of reversible polymerization in closed systems 2015 arXiv  article  
BibTeX:
@article{Lahiri2015_vol,
  author = {Lahiri, S. and Wang, Y. and Esposito, M. and Lacoste, D.},
  title = {Kinetics and thermodynamics of reversible polymerization in closed systems},
  journal = {arXiv},
  year = {2015}
}
Maitland, M., Grosskinsky, S. and Harris, R. Large deviation analysis of a simple information engine 2015 arXiv  article  
BibTeX:
@article{Maitland2015_vol,
  author = {Maitland, M. and Grosskinsky, S. and Harris, R. J.},
  title = {Large deviation analysis of a simple information engine},
  journal = {arXiv},
  year = {2015}
}
Baek, Y. and Kafri, Y. Singularities in large deviation functions 2015 arXiv  article  
BibTeX:
@article{2015arXiv150505796B,
  author = {Baek, Y. and Kafri, Y.},
  title = {Singularities in large deviation functions},
  journal = {arXiv},
  year = {2015}
}
Brandner, K., Saito, K. and Seifert, U. Thermodynamics of Micro- and Nano-Systems Driven by Periodic Temperature Variations 2015 arXiv  article  
BibTeX:
@article{Brandner2015_vol,
  author = {Brandner, K. and Saito, K. and Seifert, U.},
  title = {Thermodynamics of Micro- and Nano-Systems Driven by Periodic Temperature Variations},
  journal = {arXiv},
  year = {2015}
}
Harris, R. Fluctuations in interacting particle systems with memory 2015 arXiv  article  
BibTeX:
@article{Harris2015_vol,
  author = {Harris, R. J.},
  title = {Fluctuations in interacting particle systems with memory},
  journal = {arXiv},
  year = {2015}
}
Kuehn, C. Moment Closure - A Brief Review 2015   article  
BibTeX:
@article{Kuehn2015_vol,
  author = {Kuehn, C.},
  title = {Moment Closure - A Brief Review},
  year = {2015}
}
Mehta, P., Lang, A. and Schwab, D. Landauer in the age of synthetic biology: energy consumption and information processing in biochemical networks 2015 arXiv  article  
BibTeX:
@article{Mehta2015_vol,
  author = {Mehta, P. and Lang, A. H. and Schwab, D. J.},
  title = {Landauer in the age of synthetic biology: energy consumption and information processing in biochemical networks},
  journal = {arXiv},
  year = {2015}
}
Mihelich, M., Dubrulle, B., Paillard, D., Faranda, D. and Kral, Q. Maximum Kolmogorov-Sinai entropy vs minimum mixing time in Markov chains 2015 arXiv  article  
BibTeX:
@article{Mihelich2015_vol,
  author = {Mihelich, M. and Dubrulle, B. and Paillard, D. and Faranda, D. and Kral, Q.},
  title = {Maximum Kolmogorov-Sinai entropy vs minimum mixing time in Markov chains},
  journal = {arXiv},
  year = {2015}
}
MacMahon, M. and Garlaschelli, D. Community Detection for Correlation Matrices 2015 Phys. Rev. X
Vol. 5, pp. 021006 
article DOI URL 
BibTeX:
@article{MacMahon2015_vol5,
  author = {MacMahon, M. and Garlaschelli, D.},
  title = {Community Detection for Correlation Matrices},
  journal = {Phys. Rev. X},
  publisher = {American Physical Society},
  year = {2015},
  volume = {5},
  pages = {021006},
  url = {http://link.aps.org/doi/10.1103/PhysRevX.5.021006},
  doi = {https://doi.org/10.1103/PhysRevX.5.021006}
}
Tomé, T. and de Oliveira, M.J. Stochastic approach to equilibrium and nonequilibrium thermodynamics 2015 Phys. Rev. E
Vol. 91, pp. 042140 
article DOI URL 
BibTeX:
@article{Tome2015_vol91,
  author = {Tomé, Tânia and de Oliveira, Mário J.},
  title = {Stochastic approach to equilibrium and nonequilibrium thermodynamics},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2015},
  volume = {91},
  pages = {042140},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.91.042140},
  doi = {https://doi.org/10.1103/PhysRevE.91.042140}
}
Zatloukal, V. Classical field theories from Hamiltonian constraint: Canonical equations of motion and local Hamilton-Jacobi theory 2015 Int. J. Geom. Methods Mod. Phys., 13, 1650072 (2016)  article DOI  
Abstract: Classical field theory is considered as a theory of unparametrized surfaces
embedded in a configuration space, which accommodates, in a symmetric way,
spacetime positions and field values. Dynamics is defined by a (Hamiltonian)
constraint between multivector-valued generalized momenta, and points in the
configuration space. Starting from a variational principle, we derive local
equations of motion, that is, differential equations that determine classical
surfaces and momenta. A local Hamilton-Jacobi equation applicable in the
field theory then follows readily. The general method is illustrated with
three examples: non-relativistic Hamiltonian mechanics, De Donder-Weyl scalar
field theory, and string theory. Throughout, we use the mathematical
formalism of geometric algebra and geometric calculus, which allows to
perform completely coordinate-free manipulations.
BibTeX:
@article{Zatloukal2015vol,
  author = {Vaclav Zatloukal},
  title = {Classical field theories from Hamiltonian constraint: Canonical equations of motion and local Hamilton-Jacobi theory},
  journal = {Int. J. Geom. Methods Mod. Phys., 13, 1650072 (2016)},
  year = {2015},
  doi = {https://doi.org/10.1142/S0219887816500729}
}
Chappell, J.M., Iqbal, A., Gunn, L.J. and Abbott, D. Functions of Multivector Variables 2015 PLOS ONE
Vol. 10(3), pp. 1-21 
article DOI URL 
Abstract: As is well known, the common elementary functions defined over the real
numbers can be generalized to act not only over the complex number field but
also over the skew (non-commuting) field of the quaternions. In this paper,
we detail a number of elementary functions extended to act over the skew
field of Clifford multivectors, in both two and three dimensions. Complex
numbers, quaternions and Cartesian vectors can be described by the various
components within a Clifford multivector and from our results we are able to
demonstrate new inter-relationships between these algebraic systems. One key
relationship that we discover is that a complex number raised to a vector
power produces a quaternion thus combining these systems within a single
equation. We also find a single formula that produces the square root,
amplitude and inverse of a multivector over one, two and three dimensions.
Finally, comparing the functions over different dimension we observe that
Cl(R3) provides a particularly versatile algebraic framework.
BibTeX:
@article{Chappell2015vol10,
  author = {Chappell, James M. AND Iqbal, Azhar AND Gunn, Lachlan J. AND Abbott, Derek},
  title = {Functions of Multivector Variables},
  journal = {PLOS ONE},
  publisher = {Public Library of Science},
  year = {2015},
  volume = {10},
  number = {3},
  pages = {1--21},
  url = {https://doi.org/10.1371/journal.pone.0116943},
  doi = {https://doi.org/10.1371/journal.pone.0116943}
}
Esposito, M., Ochoa, M.A. and Galperin, M. Efficiency fluctuations in quantum thermoelectric devices 2015 Phys. Rev. B
Vol. 91, pp. 115417 
article DOI URL 
Abstract: We present a method, based on characterizing efficiency fluctuations, to
assess the performance of nanoscale thermoelectric junctions. This method
accounts for effects typically arising in small junctions, namely,
stochasticity in the junction's performance, quantum effects, and
nonequilibrium features preventing a linear response analysis. It is based on
a nonequilibrium Green's function (NEGF) approach, which we use to derive the
full counting statistics (FCS) for heat and work, and which in turn allows us
to calculate the statistical properties of efficiency fluctuations. We
simulate the latter for a variety of simple models where our method is exact.
By analyzing the discrepancies with the semiclassical prediction of a quantum
master equation (QME) approach, we emphasize the quantum nature of efficiency
fluctuations for realistic junction parameters. We finally propose an
approximate Gaussian method to express efficiency fluctuations in terms of
nonequilibrium currents and noises which are experimentally measurable in
molecular junctions.
BibTeX:
@article{Esposito2015_vol91,
  author = {Esposito, M. and Ochoa, M. A. and Galperin, M.},
  title = {Efficiency fluctuations in quantum thermoelectric devices},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2015},
  volume = {91},
  pages = {115417},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.91.115417},
  doi = {https://doi.org/10.1103/PhysRevB.91.115417}
}
Gardas, B. and Deffner, S. Thermodynamic universality of quantum Carnot engines 2015 arXiv  article  
BibTeX:
@article{Gardas2015_vol,
  author = {Gardas, B. and Deffner, S.},
  title = {Thermodynamic universality of quantum Carnot engines},
  journal = {arXiv},
  year = {2015}
}
Ichiki, A. and Ohzeki, M. Full-order fluctuation-dissipation relation for a class of non-equilibrium steady states 2015 arXiv  article  
BibTeX:
@article{Ichiki2015_vol,
  author = {Ichiki, A. and Ohzeki, M.},
  title = {Full-order fluctuation-dissipation relation for a class of non-equilibrium steady states},
  journal = {arXiv},
  year = {2015}
}
Mendoza-Coto, A., D\iaz-Méndez, R. and Pupillo, G. Stochastic dynamics in real time for discrete-variable classical models 2015 arXiv  article  
BibTeX:
@article{Mendoza-Coto2015_vol,
  author = {Mendoza-Coto, A. and D\iaz-Méndez, R. and Pupillo, G.},
  title = {Stochastic dynamics in real time for discrete-variable classical models},
  journal = {arXiv},
  year = {2015}
}
Esposito, M., Ochoa, M.A. and Galperin, M. Quantum Thermodynamics: A Nonequilibrium Green's Function Approach 2015 Phys. Rev. Lett.
Vol. 114, pp. 080602 
article DOI URL 
BibTeX:
@article{Esposito2015_vol114,
  author = {Esposito, Massimiliano and Ochoa, Maicol A. and Galperin, Michael},
  title = {Quantum Thermodynamics: A Nonequilibrium Green's Function Approach},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2015},
  volume = {114},
  pages = {080602},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.114.080602},
  doi = {https://doi.org/10.1103/PhysRevLett.114.080602}
}
Solon, A.P., Chaté, H. and Tailleur, J. From Phase to Microphase Separation in Flocking Models: The Essential Role of Nonequilibrium Fluctuations 2015 Phys. Rev. Lett.
Vol. 114, pp. 068101 
article DOI URL 
BibTeX:
@article{Solon2015_vol114,
  author = {Solon, Alexandre P. and Chaté, Hugues and Tailleur, Julien},
  title = {From Phase to Microphase Separation in Flocking Models: The Essential Role of Nonequilibrium Fluctuations},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2015},
  volume = {114},
  pages = {068101},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.114.068101},
  doi = {https://doi.org/10.1103/PhysRevLett.114.068101}
}
Spiechowicz, J. and Łuczka, J. Efficiency of the SQUID Ratchet Driven by External Current 2015 arXiv  article  
BibTeX:
@article{Spiechowicz2015_vol,
  author = {Spiechowicz, J. and Łuczka, J.},
  title = {Efficiency of the SQUID Ratchet Driven by External Current},
  journal = {arXiv},
  year = {2015}
}
Apertet, Y., Ouerdane, H., Goupil, C. and Lecoeur, P. Equivalent parameters for series thermoelectrics 2015 Energy Conversion and Management
Vol. 93, pp. 160-165 
article DOI URL 
Abstract: We study the physical processes at work at the interface of two thermoelectric generators (TEGs) thermally and electrically connected in series. We show and explain how these processes impact on the system's performance: the derivation of the equivalent electrical series resistance yields a term whose physical meaning is thoroughly discussed. We demonstrate that this term must exist as a consequence of thermal continuity at the interface, since it is related to the variation of the junction temperature between the two TEGs associated in series as the electrical current varies. We then derive an expression for the equivalent series figure of merit. Finally we highlight the strong thermal/electrical symmetry between the parallel and series configurations and we compare our derivation with recent published results for the parallel configuration.
BibTeX:
@article{Apertet2015vol93,
  author = {Yann Apertet and Henni Ouerdane and Christophe Goupil and Philippe Lecoeur},
  title = {Equivalent parameters for series thermoelectrics},
  journal = {Energy Conversion and Management},
  year = {2015},
  volume = {93},
  pages = {160-165},
  url = {https://www.sciencedirect.com/science/article/pii/S0196890414011169},
  doi = {https://doi.org/10.1016/j.enconman.2014.12.077}
}
Astumian, R.D. Huxley's Model for Muscle Contraction Revisited: The Importance of Microscopic Reversibility 2015 Polymer Mechanochemistry, pp. 285-316  inbook DOI URL 
Abstract: Andrew Huxley's model for muscle contraction is the first mechanistic
description of how an energy-providing chemical reaction, ATP hydrolysis, can
be coupled by a molecule (myosin) to do work in the environment in a cyclic
process. The model was originally used to fit experimentally obtained force
vs velocity curves, and has served as a paradigm for understanding
mechanochemical coupling ever since. Despite the remarkable success in
fitting kinetic data, Huxley's model is thermodynamically inconsistent in
several regards, most notably in its failure to include thermal noise in the
description of the mechanical transitions by which motion occurs. This
inconsistency has led subsequent workers to incorrect conclusions regarding
the importance of mechanical transitions for determining the direction of
motion, the efficiency of energy conversion, the ratio of forward to backward
steps, and the applied force necessary to stop the motion of chemically
driven molecular motors. In this chapter an extension of Huxley's model is
described where the principle of microscopic reversibility provides a
framework for developing a thermodynamically consistent description of a
molecular machine. The results show clearly that mechanical strain and the
so-called ``power stroke'' are irrelevant for determining the directionality
and thermodynamic properties of any chemically driven molecular motor.
Instead these properties are controlled entirely by the chemical specificity
that describes how the relative rates of the ATP hydrolysis reaction depend,
by allosteric interactions, on the mechanical state of the molecule. This
mechanism has been termed an ``information ratchet'' in the literature. In
contrast to the results for chemical driving, a power stroke can be a key
component for the operation of an optically driven motor, the transitions of
which do not obey microscopic reversibility.
BibTeX:
@inbook{Astumian2015_vol,
  author = {Astumian, R. Dean},
  title = {Huxley's Model for Muscle Contraction Revisited: The Importance of Microscopic Reversibility},
  booktitle = {Polymer Mechanochemistry},
  publisher = {Springer International Publishing},
  year = {2015},
  pages = {285--316},
  url = {https://doi.org/10.1007/128_2015_644},
  doi = {https://doi.org/10.1007/128_2015_644}
}
Barato, A.C. and Chétrite, R. A Formal View on Level 2.5 Large Deviations and Fluctuation Relations 2015 J. Stat. Phys., pp. 1-19  article DOI URL 
BibTeX:
@article{Barato2015_vol,
  author = {Barato, A. C.. and Chétrite, R.},
  title = {A Formal View on Level 2.5 Large Deviations and Fluctuation Relations},
  journal = {J. Stat. Phys.},
  publisher = {Springer US},
  year = {2015},
  pages = {1--19},
  url = {http://dx.doi.org/10.1007/s10955-015-1283-0},
  doi = {https://doi.org/10.1007/s10955-015-1283-0}
}
Bauer, M. and Cornu, F. Local detailed balance: a microscopic derivation 2015 J. Phys. A: Math. Theor.
Vol. 48(1), pp. 015008 
article URL 
Abstract: Thermal contact is the archetype of non-equilibrium processes driven by
constant non-equilibrium constraints when the latter are enforced by
reservoirs exchanging conserved microscopic quantities. At a mesoscopic scale
only the energies of the macroscopic bodies are accessible together with the
configurations of the contact system. We consider a class of models where the
contact system, as well as macroscopic bodies, have a finite number of
possible configurations. The global system, with only discrete degrees of
freedom, has no microscopic Hamiltonian dynamics, but it is shown that, if
the microscopic dynamics is assumed to be deterministic and ergodic and to
conserve energy according to some specific pattern, and if the mesoscopic
evolution of the global system is approximated by a Markov process as closely
as possible, then the mesoscopic transition rates obey three constraints. In
the limit where macroscopic bodies can be considered as reservoirs at
thermodynamic equilibrium (but with different intensive parameters), the
mesoscopic transition rates turn into transition rates for the contact system
and the third constraint becomes local detailed balance; the latter is
generically expressed in terms of the microscopic exchange entropy variation,
namely the opposite of the variation of the thermodynamic entropy of the
reservoir involved in a given microscopic jump of the contact system
configuration. For a finite-time evolution after contact has been switched
on, we derive a fluctuation relation for the joint probability of the heat
amounts received from the various reservoirs. The generalization to systems
exchanging energy, volume and matter with several reservoirs, with a possible
conservative external force acting on the contact system, is given
explicitly.
BibTeX:
@article{Bauer2015_vol48,
  author = {M Bauer and F Cornu},
  title = {Local detailed balance: a microscopic derivation},
  journal = {J. Phys. A: Math. Theor.},
  year = {2015},
  volume = {48},
  number = {1},
  pages = {015008},
  url = {http://stacks.iop.org/1751-8121/48/i=1/a=015008}
}
Bérut, A. Fluctuations and Interactions of Brownian Particles in Multiple Optical Traps 2015 School: ɉcole Normale Supérieure de Lyon  phdthesis  
BibTeX:
@phdthesis{Phdthesis_Berut2015,
  author = {Bérut, A.},
  title = {Fluctuations and Interactions of Brownian Particles in Multiple Optical Traps},
  school = {ɉcole Normale Supérieure de Lyon},
  year = {2015}
}
Bianca, C. and Lemarchand, A. Evaluation of reaction fluxes in stationary and oscillating far-from-equilibrium biological systems 2015 Physica A
Vol. 438, pp. 1-16 
article DOI URL 
Abstract: The complex spatio-temporal structures that appear in chemical and biological
systems require far-from-equilibrium conditions which may lead to the
circulation of reaction fluxes. We investigate how time asymmetry of
cross-correlation functions of concentration fluctuations may be exploited to
determine reaction fluxes at the cellular level. Using simulations of the
master equation as a reference, we show that, far from a bifurcation, the
Langevin approach provides a reliable tool to compute analytical expressions
for time correlation functions. Biochemical mechanisms associated with
bistability and oscillations issued from a Hopf bifurcation or a saddle-node
infinite period bifurcation are considered. We show that the blind use of the
simple relation obtained when assuming a linear deterministic dynamics often
leads to a poor estimation of the value of the reaction flux and even of its
sign.
BibTeX:
@article{Bianca2015_vol438,
  author = {C. Bianca and A. Lemarchand},
  title = {Evaluation of reaction fluxes in stationary and oscillating far-from-equilibrium biological systems},
  journal = {Physica A},
  year = {2015},
  volume = {438},
  pages = {1--16},
  url = {http://www.sciencedirect.com/science/article/pii/S0378437115005658},
  doi = {https://doi.org/10.1016/j.physa.2015.06.012}
}
Bolmatov, D., Zav'yalov, D., Zhernenkov, M., Musaev, E.T. and Cai, Y.Q. Unified phonon-based approach to the thermodynamics of solid, liquid and gas states 2015 Ann. Phys.
Vol. 363, pp. 221-242 
article DOI URL 
Abstract: Abstract We introduce a unified approach to states of matter (solid, liquid
and gas) and describe the thermodynamics of the pressure-temperature phase
diagram in terms of phonon excitations. We derive the effective Hamiltonian
with low-energy cutoff in two transverse phonon polarizations (phononic band
gaps) by breaking the symmetry in phonon interactions. Further, we construct
the statistical mechanics of states of aggregation employing the Debye
approximation. The introduced formalism covers the Debye theory of solids,
the phonon theory of liquids, and thermodynamic limits such as the
Dulong-Petit thermodynamic limit ( c_V = 3 k_B ), the ideal gas limit (
c_V = 3/2 k_B ) and the new thermodynamic limit ( c_V = 2 k_B ), dubbed
here the Frenkel line thermodynamic limit. We discuss the phonon propagation
and localization effects in liquids above and below the Frenkel line, and
explain the "fast sound" phenomenon. As a test for our theory we calculate
velocity-velocity autocorrelation and pair distribution functions within the
Green-Kubo formalism. We show the consistency between dynamics of phonons and
pair correlations in the framework of the unified approach. New directions
towards advancements in phononic band gaps engineering, hypersound
manipulation technologies and exploration of exotic behaviour of fluids
relevant to geo- and planetary sciences are discussed. The presented results
are equally important both for practical implications and for fundamental
research.
BibTeX:
@article{Bolmatov2015_vol363,
  author = {Dima Bolmatov and Dmitry Zav'yalov and Mikhail Zhernenkov and Edvard T. Musaev and Yong Q. Cai},
  title = {Unified phonon-based approach to the thermodynamics of solid, liquid and gas states},
  journal = {Ann. Phys.},
  year = {2015},
  volume = {363},
  pages = {221--242},
  url = {http://www.sciencedirect.com/science/article/pii/S000349161500353X},
  doi = {https://doi.org/10.1016/j.aop.2015.09.018}
}
Bravetti, A., Lopez-Monsalvo, C. and Nettel, F. Contact symmetries and Hamiltonian thermodynamics 2015 Annals of Physics
Vol. 361, pp. 377-400 
article DOI URL 
Abstract: It has been shown that contact geometry is the proper framework underlying classical thermodynamics and that thermodynamic fluctuations are captured by an additional metric structure related to Fisher?s Information Matrix. In this work we analyse several unaddressed aspects about the application of contact and metric geometry to thermodynamics. We consider here the Thermodynamic Phase Space and start by investigating the role of gauge transformations and Legendre symmetries for metric contact manifolds and their significance in thermodynamics. Then we present a novel mathematical characterization of first order phase transitions as equilibrium processes on the Thermodynamic Phase Space for which the Legendre symmetry is broken. Moreover, we use contact Hamiltonian dynamics to represent thermodynamic processes in a way that resembles the classical Hamiltonian formulation of conservative mechanics and we show that the relevant Hamiltonian coincides with the irreversible entropy production along thermodynamic processes. Therefore, we use such property to give a geometric definition of thermodynamically admissible fluctuations according to the Second Law of thermodynamics. Finally, we show that the length of a curve describing a thermodynamic process measures its entropy production.
BibTeX:
@article{Bravetti2015vol361a,
  author = {A. Bravetti and C.S. Lopez-Monsalvo and F. Nettel},
  title = {Contact symmetries and Hamiltonian thermodynamics},
  journal = {Annals of Physics},
  year = {2015},
  volume = {361},
  pages = {377-400},
  url = {https://www.sciencedirect.com/science/article/pii/S0003491615002754},
  doi = {https://doi.org/10.1016/j.aop.2015.07.010}
}
Campisi, M., Pekola, J. and Fazio, R. Nonequilibrium fluctuations in quantum heat engines: theory, example, and possible solid state experiments 2015 New J. Phys.
Vol. 17(3), pp. 035012 
article URL 
Abstract: We study stochastic energetic exchanges in quantum heat engines. Due to
microreversibility, these obey a fluctuation relation, called the heat engine
fluctuation relation, which implies the Carnot bound: no machine can have an
efficiency greater than Carnot's efficiency. The stochastic thermodynamics of
a quantum heat engine (including the joint statistics of heat and work and
the statistics of efficiency) are illustrated by means of an optimal
two-qubit heat engine, where each qubit is coupled to a thermal bath and a
two-qubit gate determines energy exchanges between the two qubits. We discuss
possible solid-state implementations with Cooper-pair boxes and flux qubits,
quantum gate operations, and fast calorimetric on-chip measurements of single
stochastic events.
BibTeX:
@article{Campisi2015_vol17,
  author = {M. Campisi and J. Pekola and R. Fazio},
  title = {Nonequilibrium fluctuations in quantum heat engines: theory, example, and possible solid state experiments},
  journal = {New J. Phys.},
  year = {2015},
  volume = {17},
  number = {3},
  pages = {035012},
  url = {http://stacks.iop.org/1367-2630/17/i=3/a=035012}
}
Cavallaro, M., Mondragon, R.J. and Harris, R.J. Temporally correlated zero-range process with open boundaries: steady state and fluctuations 2015 arXiv  article URL 
BibTeX:
@article{Cavallaro2015_vol,
  author = {Cavallaro, M. and Mondragon, R. J. and Harris, R. J.},
  title = {Temporally correlated zero-range process with open boundaries: steady state and fluctuations},
  journal = {arXiv},
  year = {2015},
  url = {http://arxiv.org/abs/1504.06309}
}
Cherubini, A., Papini, A., Vertechy, R. and Fontana, M. Airborne Wind Energy Systems: A review of the technologies 2015 Renewable Sustainable Energy Rev.
Vol. 51, pp. 1461-1476 
article DOI URL 
BibTeX:
@article{Cherubini2015_vol51,
  author = {Antonello Cherubini and Andrea Papini and Rocco Vertechy and Marco Fontana},
  title = {Airborne Wind Energy Systems: A review of the technologies},
  journal = {Renewable Sustainable Energy Rev.},
  year = {2015},
  volume = {51},
  pages = {1461--1476},
  url = {http://www.sciencedirect.com/science/article/pii/S1364032115007005},
  doi = {https://doi.org/10.1016/j.rser.2015.07.053}
}
Chétrite, R. and Touchette, H. Nonequilibrium Markov Processes Conditioned on Large Deviations 2015 Annales Henri Poincaré
Vol. 16(9), pp. 2005-2057 
article DOI URL 
Abstract: We consider the problem of conditioning a Markov process on a rare event and
of representing this conditioned process by a conditioning-free process,
called the effective or driven process. The basic assumption is that the rare
event used in the conditioning is a large deviation-type event, characterized
by a convex rate function. Under this assumption, we construct the driven
process via a generalization of Doob's h-transform, used in the context of
bridge processes, and show that this process is equivalent to the conditioned
process in the long-time limit. The notion of equivalence that we consider is
based on the logarithmic equivalence of path measures and implies that the
two processes have the same typical states. In constructing the driven
process, we also prove equivalence with the so-called exponential tilting of
the Markov process, often used with importance sampling to simulate rare
events and giving rise, from the point of view of statistical mechanics, to a
nonequilibrium version of the canonical ensemble. Other links between our
results and the topics of bridge processes, quasi-stationary distributions,
stochastic control, and conditional limit theorems are mentioned.
BibTeX:
@article{Chetrite2015_vol16,
  author = {Chétrite, R. and Touchette, H.},
  title = {Nonequilibrium Markov Processes Conditioned on Large Deviations},
  journal = {Annales Henri Poincaré},
  year = {2015},
  volume = {16},
  number = {9},
  pages = {2005--2057},
  url = {http://dx.doi.org/10.1007/s00023-014-0375-8},
  doi = {https://doi.org/10.1007/s00023-014-0375-8}
}
Chétrite, R. and Touchette, T. Variational and optimal control representations of conditioned and driven processes 2015 J. Stat. Mech: Theory Exp.
Vol. 2015(12), pp. P12001 
article URL 
Abstract: We have shown recently that a Markov process conditioned on rare events
involving time-integrated random variables can be described in the long-time
limit by an effective Markov process, called the driven process , which is
given mathematically by a generalization of Doob's h -transform. We show here
that this driven process can be represented in two other ways: first, as a
process satisfying various variational principles involving large deviation
functions and relative entropies and, second, as an optimal stochastic
control process minimizing a cost function also related to large deviation
functions. These interpretations of the driven process generalize and unify
many previous results on maximum entropy approaches to nonequilibrium
systems, spectral characterizations of positive operators, and control
approaches to large deviation theory. They also lead, as briefly discussed,
to new methods for analytically or numerically approximating large deviation
functions.
BibTeX:
@article{Chetrite2015_vol2015,
  author = {Chétrite, R. and Touchette, T.},
  title = {Variational and optimal control representations of conditioned and driven processes},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2015},
  volume = {2015},
  number = {12},
  pages = {P12001},
  url = {http://stacks.iop.org/1742-5468/2015/i=12/a=P12001}
}
Cleuren, B., Rutten, B. and Van den Broeck, C. Universality of efficiency at maximum power 2015 Eur. Phys. J. Special Topics
Vol. 224(5), pp. 879-889 
article DOI URL 
Abstract: Universal properties of efficiency at maximum power are investigated in a
general setting. In particular, it is demonstrated how successive symmetries
placed upon the dynamics manifest themselves at the macroscopic level. A
general condition is derived under which thermodynamic devices are able to
attain a reversible operation.
BibTeX:
@article{Cleuren2015_vol224,
  author = {Cleuren, B. and Rutten, B. and Van den Broeck, C.},
  title = {Universality of efficiency at maximum power},
  journal = {Eur. Phys. J. Special Topics},
  year = {2015},
  volume = {224},
  number = {5},
  pages = {879--889},
  url = {http://dx.doi.org/10.1140/epjst/e2015-02433-8},
  doi = {https://doi.org/10.1140/epjst/e2015-02433-8}
}
Coates, L., Loche, V. and Laborde-Cast�rot, H. Hyperacousie�: mise au point pour le m�decin du travail 2015 Archives des Maladies Professionnelles et de l'Environnement, pp. -  article DOI URL 
BibTeX:
@article{Coates2015_vol,
  author = {L. Coates and V. Loche and H. Laborde-Cast�rot},
  title = {Hyperacousie�: mise au point pour le m�decin du travail},
  journal = {Archives des Maladies Professionnelles et de l'Environnement},
  year = {2015},
  pages = {-},
  url = {http://www.sciencedirect.com/science/article/pii/S1775878515001678},
  doi = {https://doi.org/10.1016/j.admp.2015.07.001}
}
Crowther, P., Turci, F. and Royall, C.P. The nature of geometric frustration in the Kob-Andersen mixture 2015 J. Chem. Phys.
Vol. 143(4), pp. - 
article DOI URL 
BibTeX:
@article{Crowther2015_vol143,
  author = {Crowther, P. and Turci, F. and Royall, C. P.},
  title = {The nature of geometric frustration in the Kob-Andersen mixture},
  journal = {J. Chem. Phys.},
  year = {2015},
  volume = {143},
  number = {4},
  pages = {-},
  url = {http://scitation.aip.org/content/aip/journal/jcp/143/4/10.1063/1.4927302},
  doi = {https://doi.org/10.1063/1.4927302}
}
Cuetara, G.B., Engel, A. and Esposito, M. Stochastic thermodynamics of rapidly driven systems 2015 New J. Phys.
Vol. 17(5), pp. 055002 
article URL 
Abstract: We present the stochastic thermodynamics analysis of an open quantum system
weakly coupled to multiple reservoirs and driven by a rapidly oscillating
external field. The analysis is built on a modified stochastic master
equation in the Floquet basis. Transition rates are shown to satisfy the
local detailed balance involving the entropy flowing out of the reservoirs.
The first and second law of thermodynamics are also identified at the
trajectory level. Mechanical work is identified by means of initial and final
projections on energy eigenstates of the system. We explicitly show that this
two step measurement becomes unnecessary in the long time limit. A
steady-state fluctuation theorem for the currents and rate of mechanical work
is also established. This relation does not require the introduction of a
time reversed external driving which is usually needed when considering
systems subjected to time asymmetric external fields. This is understood as a
consequence of the secular approximation applied in consistency with the
large time scale separation between the fast driving oscillations and the
slower relaxation dynamics induced by the environment. Our results are
finally illustrated on a model describing a thermodynamic engine.
BibTeX:
@article{Cuetara2015_vol17a,
  author = {Gregory Bulnes Cuetara and Andreas Engel and Massimiliano Esposito},
  title = {Stochastic thermodynamics of rapidly driven systems},
  journal = {New J. Phys.},
  year = {2015},
  volume = {17},
  number = {5},
  pages = {055002},
  url = {http://stacks.iop.org/1367-2630/17/i=5/a=055002}
}
Cuetara, G.B. and Esposito, M. Double quantum dot coupled to a quantum point contact: a stochastic thermodynamics approach 2015 New J. Phys.
Vol. 17(9), pp. 095005 
article URL 
Abstract: We study the nonequilibrium properties of an electronic circuit composed of a
double quantum dot (DQD) channel capacitively coupled to a quantum point
contact (QPC) within the framework of stochastic thermodynamics. We show that
the transition rates describing the dynamics satisfy a nontrivial local
detailed balance and that the statistics of energy and particle currents
across both channels obeys a fluctuation theorem. We analyze two regimes
where the device operates as a thermodynamic machine and study its output
power and efficiency fluctuations. We show that the electrons tunneling
through the QPC without interacting with the DQD have a strong effect on the
device efficiency.
BibTeX:
@article{Cuetara2015_vol17,
  author = {G. Bulnes Cuetara and M. Esposito},
  title = {Double quantum dot coupled to a quantum point contact: a stochastic thermodynamics approach},
  journal = {New J. Phys.},
  year = {2015},
  volume = {17},
  number = {9},
  pages = {095005},
  url = {http://stacks.iop.org/1367-2630/17/i=9/a=095005}
}
Elvang, H. and Huang, Y.-t. Scattering Amplitudes in Gauge Theory and Gravity 2015   book DOI  
BibTeX:
@book{elvang_huang_2015,
  author = {Elvang, Henriette and Huang, Yu-tin},
  title = {Scattering Amplitudes in Gauge Theory and Gravity},
  publisher = {Cambridge University Press},
  year = {2015},
  doi = {https://doi.org/10.1017/CBO9781107706620}
}
Erhard, M. and Strauch, H. Flight control of tethered kites in autonomous pumping cycles for airborne wind energy 2015 Control Eng. Pract.
Vol. 40, pp. 13-26 
article DOI URL 
Abstract: Abstract Energy harvesting based on tethered kites benefits from exploiting
higher wind speeds at higher altitudes. The setup considered in this paper is
based on a pumping cycle. It generates energy by winching out at high tether
forces, driving an electrical generator while flying crosswind. Then it
winches in at a stationary neutral position, thus leaving a net amount of
generated energy. The focus of this paper is put on the flight control
design, which implements an accurate direction control towards target points
and allows for a flight with an eight-down pattern. An extended overview on
the control system approach, as well as details of each element of the flight
controller, is presented. The control architecture is motivated by a simple,
yet comprehensive model for the kite dynamics. In addition, winch strategies
based on an optimization scheme are presented. In order to demonstrate the
real world functionality of the presented algorithms, flight data from a
fully automated pumping-cycle operation of a small-scale prototype are given.
The setup is based on a 30 m2 kite linked to a ground-based 50 kW electrical
motor/generator by a single line.
BibTeX:
@article{Erhard2015_vol40,
  author = {M. Erhard and H. Strauch},
  title = {Flight control of tethered kites in autonomous pumping cycles for airborne wind energy},
  journal = {Control Eng. Pract.},
  year = {2015},
  volume = {40},
  pages = {13--26},
  url = {http://www.sciencedirect.com/science/article/pii/S0967066115000490},
  doi = {https://doi.org/10.1016/j.conengprac.2015.03.001}
}
Esposito, M. Thermodynamics : Lecture Notes 2015   unpublished  
BibTeX:
@unpublished{Notes_Esposito2015,
  author = {Esposito, M.},
  title = {Thermodynamics : Lecture Notes},
  year = {2015}
}
Goupil, C. Continuum theory and modeling of thermoelectric elements 2015   book  
BibTeX:
@book{Goupil2015vol,
  author = {Christophe Goupil},
  title = {Continuum theory and modeling of thermoelectric elements},
  publisher = {John Wiley &amp; Sons},
  year = {2015}
}
Hazoglou, M.J., Walther, V., Dixit, P.D. and Dill, K.A. Maximum caliber is a general variational principle for nonequilibrium statistical mechanics 2015 arXiv  article URL 
BibTeX:
@article{Hazoglou2015_vol,
  author = {Hazoglou, M. J. and Walther, V. and Dixit, P. D. and Dill, K. A.},
  title = {Maximum caliber is a general variational principle for nonequilibrium statistical mechanics},
  journal = {arXiv},
  year = {2015},
  url = {http://arxiv.org/abs/1505.05479}
}
Hestenes, D. Space-Time Algebra 2015   book  
BibTeX:
@book{Book_Hestenes2015,
  author = {David Hestenes},
  title = {Space-Time Algebra},
  year = {2015}
}
Hilhorst, H.J. Statistical Mechanics 2015   unpublished  
BibTeX:
@unpublished{Notes_Hilhorst2015,
  author = {Hendrik Jan Hilhorst},
  title = {Statistical Mechanics},
  year = {2015}
}
Horowitz, P. and Hill, W. The Art of Electronics 2015   book  
BibTeX:
@book{Horowitz2015vol,
  author = {Paul Horowitz and Winfield Hill},
  title = {The Art of Electronics},
  publisher = {Cambridge University Press},
  year = {2015}
}
Hui, S., Silverman, J.M., Chen, S.S., Erickson, D.W., Basan, M., Wang, J., Hwa, T. and Williamson, J.R. Quantitative proteomic analysis reveals a simple strategy of global resource allocation in bacteria 2015 Mol. Syst. Biol.
Vol. 11(2) 
article DOI URL 
Abstract: A central aim of cell biology was to understand the strategy of gene
expression in response to the environment. Here, we study gene expression
response to metabolic challenges in exponentially growing Escherichia coli
using mass spectrometry. Despite enormous complexity in the details of the
underlying regulatory network, we find that the proteome partitions into
several coarse-grained sectors, with each sector total mass abundance
exhibiting positive or negative linear relations with the growth rate. The
growth rate-dependent components of the proteome fractions comprise about
half of the proteome by mass, and their mutual dependencies can be
characterized by a simple flux model involving only two effective parameters.
The success and apparent generality of this model arises from tight
coordination between proteome partition and metabolism, suggesting a
principle for resource allocation in proteome economy of the cell. This
strategy of global gene regulation should serve as a basis for future studies
on gene expression and constructing synthetic biological circuits. Coarse
graining may be an effective approach to derive predictive phenomenological
models for other 'omics' studies. SynopsisQuantitative relative and absolute
protein abundance data allow the use of coarse-graining analysis to reveal
strategies of resource allocation by E. coli. A predictive, mathematical
model of the proteome is constructed requiring only a few parameters.
Coarse-graining procedure makes proteomics data amenable to quantitative
analysis. Five functionally distinct proteome sectors each exhibit linear
relations with the growth rate.A simple flux model captures proteome-wide
responses accurately with few parameters. Proteome economy is shown to be a
principle governing global gene regulation.
BibTeX:
@article{Hui2015_vol11,
  author = {Hui,Sheng and Silverman,Josh M and Chen,Stephen S and Erickson,David W and Basan,Markus and Wang,Jilong and Hwa,Terence and Williamson,James R},
  title = {Quantitative proteomic analysis reveals a simple strategy of global resource allocation in bacteria},
  journal = {Mol. Syst. Biol.},
  publisher = {EMBO Press},
  year = {2015},
  volume = {11},
  number = {2},
  url = {http://msb.embopress.org/content/11/2/784},
  doi = {https://doi.org/10.15252/msb.20145697}
}
Imparato, A. Stochastic thermodynamics in many-particle systems 2015 New J. Phys.
Vol. 17(12), pp. 125004 
article URL 
Abstract: We study the thermodynamic properties of a microscopic model of coupled
oscillators that exhibits a dynamical phase transition from a desynchronized
to a synchronized phase. We consider two different configurations for the
thermodynamic forces applied on the oscillators, one resembling the
macroscopic power grids, and one resembling autonomous molecular motors. We
characterize the input and the output power as well as the efficiency at
maximum power, providing analytic expressions for such quantities near the
critical coupling strength. We discuss the role of the quenched disorder in
the thermodynamic force distributions and show that such a disorder may lead
to an enhancement of the efficiency at maximum power.
BibTeX:
@article{Imparato2015_vol17,
  author = {Alberto Imparato},
  title = {Stochastic thermodynamics in many-particle systems},
  journal = {New J. Phys.},
  year = {2015},
  volume = {17},
  number = {12},
  pages = {125004},
  url = {http://stacks.iop.org/1367-2630/17/i=12/a=125004}
}
Lazarescu, A. The physicist's companion to current fluctuations: one-dimensional bulk-driven lattice gases 2015 J. Phys. A: Math. Theor.
Vol. 48(50), pp. 503001 
article URL 
Abstract: One of the main features of statistical systems out of equilibrium is the
currents they exhibit in their stationary state: microscopic currents of
probability between configurations, which translate into macroscopic currents
of mass, charge, etc. Understanding the general behaviour of these currents
is an important step towards building a universal framework for
non-equilibrium steady states akin to the Gibbs-Boltzmann distribution for
equilibrium systems. In this review, we consider one-dimensional bulk-driven
particle gases, and in particular the asymmetric simple exclusion process
(ASEP) with open boundaries, which is one of the most popular models of
one-dimensional transport. We focus, in particular, on the current of
particles flowing through the system in its steady state, and on its
fluctuations. We show how one can obtain the complete statistics of that
current, through its large deviation function, by combining results from
various methods: exact calculation of the cumulants of the current, using the
integrability of the model; direct diagonalization of a biased process in the
limits of very high or low current; hydrodynamic description of the model in
the continuous limit using the macroscopic fluctuation theory. We give a
pedagogical account of these techniques, starting with a quick introduction
to the necessary mathematical tools, as well as a short overview of the
existing works relating to the ASEP. We conclude by drawing the complete
dynamical phase diagram of the current. We also remark on a few possible
generalizations of these results.
BibTeX:
@article{Lazarescu2015_vol48,
  author = {Alexandre Lazarescu},
  title = {The physicist's companion to current fluctuations: one-dimensional bulk-driven lattice gases},
  journal = {J. Phys. A: Math. Theor.},
  year = {2015},
  volume = {48},
  number = {50},
  pages = {503001},
  url = {http://stacks.iop.org/1751-8121/48/i=50/a=503001}
}
Lervik, A., Kjelstrup, S. and Qian, H. Michaelis-Menten kinetics under non-isothermal conditions 2015 Phys. Chem. Chem. Phys.
Vol. 17, pp. 1317-1324 
article DOI URL 
Abstract: We extend the celebrated Michaelis-Menten kinetics description of an
enzymatic reaction taking into consideration the presence of a thermal
driving force. A coupling of chemical and thermal driving forces is expected
from the principle of non-equilibrium thermodynamics, and specifically we
obtain an additional term to the classical Michaelis-Menten kinetic
equation, which describes the coupling in terms of a single parameter. A
companion equation for the heat flux is also derived, which actually can
exist even in the absence of a temperature difference. Being thermodynamic in
nature, this result is general and independent of the detailed mechanism of
the coupling. Conditions for the experimental verification of the new
equation are discussed.
BibTeX:
@article{Lervik2015_vol17,
  author = {Lervik, Anders and Kjelstrup, Signe and Qian, Hong},
  title = {Michaelis-Menten kinetics under non-isothermal conditions},
  journal = {Phys. Chem. Chem. Phys.},
  publisher = {The Royal Society of Chemistry},
  year = {2015},
  volume = {17},
  pages = {1317--1324},
  url = {http://dx.doi.org/10.1039/C4CP04334K},
  doi = {https://doi.org/10.1039/C4CP04334K}
}
Leyvraz, F. Understanding rigid body motion in arbitrary dimensions 2015 Eur. J. Phys.
Vol. 36(3), pp. 035021 
article URL 
Abstract: Why would anyone wish to generalize the already unappetizing subject of rigid
body motion to an arbitrary number of dimensions? At first sight, the subject
seems to be both repellent and superfluous. The author will try to argue that
an approach involving no specific three-dimensional constructs is actually
easier to grasp than the traditional approach and might thus be generally
useful to understand rigid body motion both in three dimensions and in the
general case. Specific differences between the viewpoint suggested here and
the usual one include the following: here angular velocities are
systematically treated as antisymmetric matrices, a symmetric tensor I quite
different from the moment of inertia tensor plays a central role, whereas the
latter is shown to be a far more complex object, namely a tensor of rank
four. A straightforward way to define it is given. The Euler equation is
derived and the use of Noether’s theorem to obtain conserved quantities
is illustrated. Finally the equations of motion for a heavy top as well as
for two bodies linked by a spherical joint are derived to display the
simplicity and the power of the method.
BibTeX:
@article{Leyvraz2015_vol36,
  author = {Francois Leyvraz},
  title = {Understanding rigid body motion in arbitrary dimensions},
  journal = {Eur. J. Phys.},
  year = {2015},
  volume = {36},
  number = {3},
  pages = {035021},
  url = {http://stacks.iop.org/0143-0807/36/i=3/a=035021}
}
Lim, L. Hodge Laplacians on graphs 2015 CoRR  article URL 
BibTeX:
@article{Lim2015_vol,
  author = {Lek-Heng Lim},
  title = {Hodge Laplacians on graphs},
  journal = {CoRR},
  year = {2015},
  url = {http://arxiv.org/abs/1507.05379}
}
Maitra, A. and Dill, K.A. Bacterial growth laws reflect the evolutionary importance of energy efficiency 2015 Proceedings of the National Academy of Sciences
Vol. 112(2), pp. 406-411 
article DOI URL 
Abstract: We are interested in the balance of energy and protein synthesis in bacterial
growth. How has evolution optimized this balance? We describe an analytical
model that leverages extensive literature data on growth laws to infer the
underlying fitness landscape and to draw inferences about what evolution has
optimized in Escherichia coli. Is E. coli optimized for growth speed, energy
efficiency, or some other property? Experimental data show that at its
replication speed limit, E. coli produces about four mass equivalents of
nonribosomal proteins for every mass equivalent of ribosomes. This ratio can
be explained if the cell's fitness function is the the energy efficiency of
cells under fast growth conditions, indicating a tradeoff between the high
energy costs of ribosomes under fast growth and the high energy costs of
turning over nonribosomal proteins under slow growth. This model gives
insight into some of the complex nonlinear relationships between energy
utilization and ribosomal and nonribosomal production as a function of cell
growth conditions.
BibTeX:
@article{Maitra2015_vol112,
  author = {Maitra,Arijit and Dill,Ken A.},
  title = {Bacterial growth laws reflect the evolutionary importance of energy efficiency},
  journal = {Proceedings of the National Academy of Sciences},
  year = {2015},
  volume = {112},
  number = {2},
  pages = {406--411},
  url = {http://www.pnas.org/content/112/2/406.abstract},
  doi = {https://doi.org/10.1073/pnas.1421138111}
}
Martinez, I., Roldán, E., Dinis, L., Petrov, D., Parrondo, J. and Rica, R. Brownian Carnot engine 2015 Nat. Phys.
Vol. 12, pp. 67 
article DOI  
BibTeX:
@article{Martinez2015_vol,
  author = {Martinez, I. A. and Roldán, E. and Dinis, L. and Petrov, D. and Parrondo, J. M. R. and Rica, R.},
  title = {Brownian Carnot engine},
  journal = {Nat. Phys.},
  year = {2015},
  volume = {12},
  pages = {67},
  doi = {https://doi.org/10.1038/nphys3518}
}
Polettini, M. BEST statistics of Markovian fluxes: a tale of Eulerian tours and Fermionic ghosts 2015 J. Phys. A: Math. Theor.
Vol. 48(36), pp. 365005 
article URL 
Abstract: We provide an exact expression for the statistics of the fluxes of Markov
jump processes at all times, improving on asymptotic results from large
deviation theory. The main ingredient is a generalization of the BEST theorem
in enumeratoric graph theory to Eulerian tours with open ends. In the
long-time limit we reobtain Sanov's theorem for Markov processes, which
expresses the exponential suppression of fluctuations in terms of relative
entropy. The finite-time power-law term, increasingly important with the
system size, is a spanning-tree determinant that, by introducing Grassmann
variables, can be absorbed into the effective Lagrangian of a Fermionic ghost
field on a metric space, coupled to a gauge potential. With reference to
concepts in nonequilibrium stochastic thermodynamics, the metric is related
to the dynamical activity that measures net communication between states, and
the connection is made to a previous gauge theory for diffusion processes.
BibTeX:
@article{Polettini2015_vol48,
  author = {Matteo Polettini},
  title = {BEST statistics of Markovian fluxes: a tale of Eulerian tours and Fermionic ghosts},
  journal = {J. Phys. A: Math. Theor.},
  year = {2015},
  volume = {48},
  number = {36},
  pages = {365005},
  url = {http://stacks.iop.org/1751-8121/48/i=36/a=365005}
}
Polettini, M., Verley, G. and Esposito, M. Efficiency Statistics at All Times: Carnot Limit at Finite Power 2015 Phys. Rev. Lett.
Vol. 114, pp. 050601 
article DOI URL 
Abstract: We derive the statistics of the efficiency under the assumption that
thermodynamic fluxes fluctuate with normal law, parametrizing it in terms of
time, macroscopic efficiency, and a coupling parameter ζ . It has a
peculiar behavior: no moments, one sub-, and one super-Carnot maxima
corresponding to reverse operating regimes (engine or pump), the most
probable efficiency decreasing in time. The limit ζ → 0
where the Carnot bound can be saturated gives rise to two extreme situations,
one where the machine works at its macroscopic efficiency, with Carnot limit
corresponding to no entropy production, and one where for a transient time
scaling like 1 / ζ microscopic fluctuations are enhanced in such a way
that the most probable efficiency approaches the Carnot limit at finite
entropy production.
BibTeX:
@article{Polettini2015_vol114,
  author = {Polettini, M. and Verley, G. and Esposito, M.},
  title = {Efficiency Statistics at All Times: Carnot Limit at Finite Power},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2015},
  volume = {114},
  pages = {050601},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Polettini2015_vol114.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Polettini2015_vol114.pdf},
  doi = {https://doi.org/10.1103/PhysRevLett.114.050601}
}
Proesmans, K. and den Broeck, C.V. Stochastic efficiency: five case studies 2015 New J. Phys.
Vol. 17(6), pp. 065004 
article URL 
Abstract: Stochastic efficiency is evaluated in five case studies: driven Brownian
motion, effusion with a thermo-chemical and thermo-velocity gradient, a
quantum dot and a model for information to work conversion. The salient
features of stochastic efficiency, including the maximum of the large
deviation function at the reversible efficiency, are reproduced. The approach
to and extrapolation into the asymptotic time regime are documented.
BibTeX:
@article{Proesmans2015_vol17,
  author = {K. Proesmans and C. Van den Broeck},
  title = {Stochastic efficiency: five case studies},
  journal = {New J. Phys.},
  year = {2015},
  volume = {17},
  number = {6},
  pages = {065004},
  url = {http://stacks.iop.org/1367-2630/17/i=6/a=065004}
}
Proesmans, K., Cleuren, B. and den Broeck, C.V. Stochastic efficiency for effusion as a thermal engine 2015 Europhys. Lett.
Vol. 109(2), pp. 20004 
article URL 
Abstract: The stochastic efficiency of effusion as a thermal engine is investigated
within the framework of stochastic thermodynamics. Explicit results are
obtained for the probability distribution of the efficiency both at finite
times and in the asymptotic regime of large deviations. The universal
features, derived in V erley�et al. ( Nat. Commun. , 5 (2014) 4721), are
reproduced. The effusion engine is a good candidate for both the numerical
and experimental verification of these predictions.
BibTeX:
@article{Proesmans2015_vol109,
  author = {K. Proesmans and B. Cleuren and C. Van den Broeck},
  title = {Stochastic efficiency for effusion as a thermal engine},
  journal = {Europhys. Lett.},
  year = {2015},
  volume = {109},
  number = {2},
  pages = {20004},
  url = {http://stacks.iop.org/0295-5075/109/i=2/a=20004}
}
Prost, J., Jülicher, F. and Joanny, J.-F. Active gel physics 2015 Nat. Phys.
Vol. 11, pp. 111-117 
article DOI  
BibTeX:
@article{Prost2015_vol11,
  author = {Prost, J. and Jülicher, F. and Joanny, J.-F.},
  title = {Active gel physics},
  journal = {Nat. Phys.},
  year = {2015},
  volume = {11},
  pages = {111--117},
  doi = {https://doi.org/10.1038/nphys3224}
}
Rax, J.-M. Physique de la conversion d'énergie 2015   book  
BibTeX:
@book{Book_Rax2015,
  author = {Jean-Marcel Rax},
  title = {Physique de la conversion d'énergie},
  publisher = {EDP Science et Edition CNRS},
  year = {2015}
}
Rios de Anda, I., Statt, A., Turci, F. and Royall, C. Low-Density Crystals in Charged Colloids: Comparison with Yukawa Theory 2015 Contrib. Plasma Phys.
Vol. 55(2-3), pp. 172-179 
article DOI URL 
Abstract: Charged colloids can behave as Yukawa systems, with similar phase behaviour.
Using particle-resolved studies, we consider a system with an unusually long
Debye screening length which forms crystals at low colloid volume fraction
ϖ ≃ 0.01. We quantitatively compare this system with the Yukawa
model and find that its freezing point is compatible with the theoretical
prediction but that the crystal polymorph is not always that expected. In
particular we find body-centred cubic crystals where face-centred cubic
crystals are expected.
BibTeX:
@article{RiosdeAnda2015_vol55,
  author = {Rios de Anda, I. and Statt, A. and Turci, F. and Royall, C.P.},
  title = {Low-Density Crystals in Charged Colloids: Comparison with Yukawa Theory},
  journal = {Contrib. Plasma Phys.},
  publisher = {WILEY-VCH Verlag},
  year = {2015},
  volume = {55},
  number = {2-3},
  pages = {172--179},
  url = {http://dx.doi.org/10.1002/ctpp.201400099},
  doi = {https://doi.org/10.1002/ctpp.201400099}
}
Szavits-Nossan, J. and Evans, M.R. Inequivalence of nonequilibrium path ensembles: the example of stochastic bridges 2015 J. Stat. Mech: Theory Exp.
Vol. 2015(12), pp. P12008 
article URL 
Abstract: We study stochastic processes in which the trajectories are constrained so
that the process realises a large deviation of the unconstrained process. In
particular we consider stochastic bridges and the question of inequivalence
of path ensembles between the microcanonical ensemble, in which the end
points of the trajectory are constrained, and the canonical or s ensemble in
which a bias or tilt is introduced into the process. We show how ensemble
inequivalence can be manifested by the phenomenon of temporal condensation in
which the large deviation is realised in a vanishing fraction of the duration
(for long durations). For diffusion processes we find that condensation
happens whenever the process is subject to a confining potential, such as for
the Ornstein-Uhlenbeck process, but not in the borderline case of dry
friction in which there is partial ensemble equivalence. We also discuss
continuous-space, discrete-time random walks for which in the case of a heavy
tailed step-size distribution it is known that the large deviation may be
achieved in a single step of the walk. Finally we consider possible effects
of several constraints on the process and in particular give an alternative
explanation of the interaction-driven condensation in terms of constrained
Brownian excursions.
BibTeX:
@article{Szavits-Nossan2015_vol2015,
  author = {J Szavits-Nossan and M R Evans},
  title = {Inequivalence of nonequilibrium path ensembles: the example of stochastic bridges},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2015},
  volume = {2015},
  number = {12},
  pages = {P12008},
  url = {http://stacks.iop.org/1742-5468/2015/i=12/a=P12008}
}
R Core Team R: A Language and Environment for Statistical Computing 2015   manual URL 
BibTeX:
@manual{LangageR,
  author = {R Core Team},
  title = {R: A Language and Environment for Statistical Computing},
  year = {2015},
  note = {http://www.R-project.org/},
  url = {http://www.R-project.org/}
}
Thanh, V.H. and Priami, C. Simulation of biochemical reactions with time-dependent rates by the rejection-based algorithm 2015 The Journal of Chemical Physics
Vol. 143(5), pp. 054104 
article DOI URL 
BibTeX:
@article{Thanh2015_vol143,
  author = {Thanh,Vo Hong and Priami,Corrado},
  title = {Simulation of biochemical reactions with time-dependent rates by the rejection-based algorithm},
  journal = {The Journal of Chemical Physics},
  year = {2015},
  volume = {143},
  number = {5},
  pages = {054104},
  url = {https://doi.org/10.1063/1.4927916},
  doi = {https://doi.org/10.1063/1.4927916}
}
Vroylandt, H. Étude stochastique et thermodynamique du métabolisme 2015   unpublished  
Abstract: Une cellule biologique transforme des nutriments pour maintenir son
métabolisme et aussi pour se diviser. Comprendre l'efficacité thermodynamique
de ces processus est un enjeu majeur pour comprendre les mécanismes de
croissance cellulaire. A cette fin, nous avons donc construit un modèle
simple de cellule, qui soit à la fois assez simple pour permettre une étude
physique, mais assez complexe pour s'accorder avec certains résultats
expérimentaux. Ce rapport présente le modèle construit au cours du stage et
les principaux résultats obtenus à partir du modèle.
BibTeX:
@unpublished{Notes_Vroylandt2015,
  author = {Vroylandt, H.},
  title = {Étude stochastique et thermodynamique du métabolisme},
  year = {2015}
}
Weisse, A.Y., Oyarzun, D.A., Danos, V. and Swain, P. A mechanistic link between cellular trade-offs, gene expression and growth 2015 Proceedings of the National Academy of Sciences
Vol. 112(9), pp. E1038-E1047 
article URL 
Abstract: Intracellular processes rarely work in isolation but continually interact
with the rest of the cell. In microbes, for example, we now know that gene
expression across the whole genome typically changes withgrowth rate. The
mechanisms driving such global regulation, however, are not well understood.
Here we consider three tradeoffs that because of limitations in levels of
cellular energy, free ribosomes, and proteins are faced by all living cells
and construct a mechanistic model that comprises these tradeoffs. Our model
couples gene expression with growth rate and growth rate with a growing
population of cells. We show that the model recovers Monod's law for the
growth of microbes and two other empirical relationships connecting growth
rate to the mass fraction of ribosomes. Further, we can explain growthrelated
effects in dosage compensation by paralogs and predict host-circuit
interactions in synthetic biology. Simulating competitions between strains,
we find that the regulation of metabolic pathways mayhave evolved not to
match expression of enzymes to levels of extracellular substrates in changing
environments but rather to balance a trade-off between exploiting one type of
nutrient over another. Although coarse-grained, the trade-offs that the model
embodies are fundamental, and, as such, our modelling framework has
potentially wide application, including in both biotechnology and medicine.
BibTeX:
@article{Weisse2015_vol112,
  author = {Andrea Y. Weisse and Diego A. Oyarzun and Vincent Danos and Peter Swain},
  title = {A mechanistic link between cellular trade-offs, gene expression and growth},
  journal = {Proceedings of the National Academy of Sciences},
  year = {2015},
  volume = {112},
  number = {9},
  pages = {E1038-E1047},
  url = {http://www.pnas.org/content/112/9/E1038.long}
}
wikipedia Chemical elements 2015   book  
BibTeX:
@book{Book_wikipedia2015,
  author = {wikipedia},
  title = {Chemical elements},
  publisher = {wikipedia books},
  year = {2015}
}
Zdeborová, L. and Krzakala, F. Statistical physics of inference: Thresholds and algorithms 2015 arXiv  article  
BibTeX:
@article{Zdeborova2015_vol,
  author = {Zdeborová, L. and Krzakala, F.},
  title = {Statistical physics of inference: Thresholds and algorithms},
  journal = {arXiv},
  year = {2015}
}
Fung, M.K. Dirac Bracket for Pedestrians 2014 Chinese Journal of Physics
Vol. 52(6), pp. 1643-1651 
article DOI  
Abstract: We present an exposition explaining the implication of the Dirac bracket as
well as its application to derive equations of motion in the full phase space
for some simple dynamical systems in classical mechanics.
BibTeX:
@article{Fung2014vol52,
  author = {M. K. Fung},
  title = {Dirac Bracket for Pedestrians},
  journal = {Chinese Journal of Physics},
  year = {2014},
  volume = {52},
  number = {6},
  pages = {1643--1651},
  doi = {https://doi.org/10.6122/CJP.20140609}
}
Goddard, J.D. Dissipation Potentials for Reaction-Diffusion Systems 2014 Industrial & Engineering Chemistry Research
Vol. 54(16), pp. 4078-4083 
article DOI  
BibTeX:
@article{Goddard2014vol54,
  author = {Goddard, J. D.},
  title = {Dissipation Potentials for Reaction-Diffusion Systems},
  journal = {Industrial & Engineering Chemistry Research},
  publisher = {American Chemical Society (ACS)},
  year = {2014},
  volume = {54},
  number = {16},
  pages = {4078--4083},
  doi = {https://doi.org/10.1021/ie503661b}
}
Jona-Lasinio, G. Large deviations and the Boltzmann entropy formula 2014 arXiv  article  
BibTeX:
@article{Jona-Lasinio2014_vol,
  author = {Jona-Lasinio, G.},
  title = {Large deviations and the Boltzmann entropy formula},
  journal = {arXiv},
  year = {2014}
}
Lacoste, D. and Gaspard, P. Isometric fluctuation relations for equilibrium states with broken symmetry 2014 arXiv  article  
BibTeX:
@article{Lacoste2014_vol,
  author = {Lacoste, D. and Gaspard, P.},
  title = {Isometric fluctuation relations for equilibrium states with broken symmetry},
  journal = {arXiv},
  year = {2014}
}
Milledge, J., Smith, B., Dyer, P. and Harvey, P. Macroalgae-Derived Biofuel: A Review of Methods of Energy Extraction from Seaweed Biomass 2014 Energies
Vol. 7(11), pp. 7194-7222 
article DOI  
BibTeX:
@article{Milledge2014vol7,
  author = {John Milledge and Benjamin Smith and Philip Dyer and Patricia Harvey},
  title = {Macroalgae-Derived Biofuel: A Review of Methods of Energy Extraction from Seaweed Biomass},
  journal = {Energies},
  publisher = {MDPI AG},
  year = {2014},
  volume = {7},
  number = {11},
  pages = {7194--7222},
  doi = {https://doi.org/10.3390/en7117194}
}
Polettini, M. Cycle/Cocycle Oblique Projections on Oriented Graphs 2014 Letters in Mathematical Physics
Vol. 105(1), pp. 89-107 
article DOI  
BibTeX:
@article{Polettini2014vol105,
  author = {Matteo Polettini},
  title = {Cycle/Cocycle Oblique Projections on Oriented Graphs},
  journal = {Letters in Mathematical Physics},
  publisher = {Springer Science and Business Media LLC},
  year = {2014},
  volume = {105},
  number = {1},
  pages = {89--107},
  doi = {https://doi.org/10.1007/s11005-014-0732-z}
}
Altaner, B. Foundations of Stochastic Thermodynamics 2014 arXiv  phdthesis  
BibTeX:
@phdthesis{Altaner2014_vol,
  author = {Altaner, B.},
  title = {Foundations of Stochastic Thermodynamics},
  journal = {arXiv},
  year = {2014}
}
Gingrich, T.R., Vaikuntanathan, S. and Geissler, P.L. Heterogeneity-induced large deviations in activity and (in some cases) entropy production 2014 Phys. Rev. E
Vol. 90, pp. 042123 
article DOI URL 
BibTeX:
@article{Gingrich2014_vol90,
  author = {Gingrich, T. R. and Vaikuntanathan, S. and Geissler, P. L.},
  title = {Heterogeneity-induced large deviations in activity and (in some cases) entropy production},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {90},
  pages = {042123},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.90.042123},
  doi = {https://doi.org/10.1103/PhysRevE.90.042123}
}
Himeoka, Y. and Kaneko, K. Entropy production of a steady-growth cell with catalytic reactions 2014 Phys. Rev. E
Vol. 90, pp. 042714 
article DOI URL 
Abstract: Cells generally convert external nutrient resources to support metabolism and
growth. Understanding the thermodynamic efficiency of this conversion is
essential to determine the general characteristics of cellulargrowth. Using a
simple protocell model with catalytic reaction dynamics to synthesize the
necessary enzyme and membrane components from nutrients, the entropy
production per unit-cell-volume growth is calculated analytically and
numerically based on the rate equation for chemical kinetics and linear
nonequilibrium thermodynamics. The minimal entropy production per unit-cell
growth is found to be achieved at a nonzero nutrient uptake rate rather than
at a quasistatic limit as in the standard Carnot engine. This difference
appears because the equilibration mediated by the enzyme exists only within
cells that grow through enzyme and membrane synthesis. Optimal nutrient
uptake is also confirmed by protocell models with many chemical components
synthesized through a catalytic reaction network. The possible relevance of
the identified optimal uptake to optimal yield for cellular growth is also
discussed.
BibTeX:
@article{Himeoka2014_vol90,
  author = {Himeoka,Yusuke and Kaneko,Kunihiko},
  title = {Entropy production of a steady-growth cell with catalytic reactions},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {90},
  pages = {042714},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.90.042714},
  doi = {https://doi.org/10.1103/PhysRevE.90.042714}
}
Horn, M.E. An Introduction to Geometric Algebra with some Preliminary Thoughts on the Geometric Meaning of Quantum Mechanics 2014 Journal of Physics: Conference Series
Vol. 538, pp. 012010 
article DOI URL 
Abstract: It is still a great riddle to me why Wolfgang Pauli and P.A.M. Dirac had not
fully grasped the meaning of their own mathematical constructions. They
invented magnificent, fantastic and very important mathematical features of
modern physics, but they only delivered half of the interpretations of their
own inventions. Of course, Pauli matrices and Dirac matrices represent
operators, which Pauli and Dirac discussed in length. But this is only part
of the true meaning behind them, as the non-commutative ideas of Grassmann,
Clifford, Hamilton and Cartan allow a second, very far reaching
interpretation of Pauli and Dirac matrices. An introduction to this
alternative interpretation will be discussed. Some applications of this view
on Pauli and Dirac matrices are given, e.g. a geometric algebra picture of
the plane wave solution of the Maxwell equation, a geometric algebra picture
of special relativity, a toy model of SU(3) symmetry, and some only very
preliminary thoughts about a possible geometric meaning of quantum mechanics.
BibTeX:
@article{Horn2014vol538,
  author = {Martin Erik Horn},
  title = {An Introduction to Geometric Algebra with some Preliminary Thoughts on the Geometric Meaning of Quantum Mechanics},
  journal = {Journal of Physics: Conference Series},
  publisher = {IOP Publishing},
  year = {2014},
  volume = {538},
  pages = {012010},
  url = {https://doi.org/10.1088%2F1742-6596%2F538%2F1%2F012010},
  doi = {https://doi.org/10.1088/1742-6596/538/1/012010}
}
Matthews, J., Battista, F., Sánchez, D., Samuelsson, P. and Linke, H. Experimental verification of reciprocity relations in quantum thermoelectric transport 2014 Phys. Rev. B
Vol. 90, pp. 165428 
article DOI URL 
BibTeX:
@article{Matthews2014_vol90,
  author = {Matthews, J. and Battista, F. and Sánchez, D. and Samuelsson, P. and Linke, H.},
  title = {Experimental verification of reciprocity relations in quantum thermoelectric transport},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2014},
  volume = {90},
  pages = {165428},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.90.165428},
  doi = {https://doi.org/10.1103/PhysRevB.90.165428}
}
Murashita, Y., Funo, K. and Ueda, M. Nonequilibrium equalities in absolutely irreversible processes 2014 Physical Review E
Vol. 90(4), pp. 042110 
article DOI  
BibTeX:
@article{Murashita2014vol90,
  author = {Murashita, Yûto and Funo, Ken and Ueda, Masahito},
  title = {Nonequilibrium equalities in absolutely irreversible processes},
  journal = {Physical Review E},
  publisher = {American Physical Society (APS)},
  year = {2014},
  volume = {90},
  number = {4},
  pages = {042110},
  doi = {https://doi.org/10.1103/physreve.90.042110}
}
Rana, S., Pal, P.S., Saha, A. and Jayannavar, A.M. Single-particle stochastic heat engine 2014 Phys. Rev. E
Vol. 90, pp. 042146 
article DOI URL 
BibTeX:
@article{Rana2014_vol90,
  author = {Rana, Shubhashis and Pal, P. S. and Saha, Arnab and Jayannavar, A. M.},
  title = {Single-particle stochastic heat engine},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {90},
  pages = {042146},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.90.042146},
  doi = {https://doi.org/10.1103/PhysRevE.90.042146}
}
Manzano, D. and Hurtado, P.I. Symmetry and the thermodynamics of currents in open quantum systems 2014 Phys. Rev. B
Vol. 90, pp. 125138 
article DOI URL 
BibTeX:
@article{Manzano2014_vol90,
  author = {Manzano, Daniel and Hurtado, Pablo I.},
  title = {Symmetry and the thermodynamics of currents in open quantum systems},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2014},
  volume = {90},
  pages = {125138},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.90.125138},
  doi = {https://doi.org/10.1103/PhysRevB.90.125138}
}
Rohwer, C., Angeletti, F. and Touchette, H. Convergence of large deviation estimators 2014 arXiv  article  
BibTeX:
@article{Rohwer2014_vol,
  author = {Rohwer, C. M. and Angeletti, F. and Touchette, H.},
  title = {Convergence of large deviation estimators},
  journal = {arXiv},
  year = {2014}
}
Apertet, Y., Ouerdane, H., Goupil, C. and Lecoeur, P. Revisiting Feynman's ratchet with thermoelectric transport theory 2014 Phys. Rev. E
Vol. 90, pp. 012113 
article DOI URL 
BibTeX:
@article{Apertet2014_vol90,
  author = {Yann Apertet, Henni Ouerdane, Christophe Goupil, Philippe Lecoeur},
  title = {Revisiting Feynman's ratchet with thermoelectric transport theory},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {90},
  pages = {012113},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.90.012113},
  doi = {https://doi.org/10.1103/PhysRevE.90.012113}
}
Harrison, P., Krishnan, R. and Scott, W. TheSU(3)algebra in a cyclic basis 2014 Physical Review D
Vol. 90(1) 
article DOI  
BibTeX:
@article{Harrison2014vol90,
  author = {P. F. Harrison and R. Krishnan and W. G. Scott},
  title = {TheSU(3)algebra in a cyclic basis},
  journal = {Physical Review D},
  publisher = {American Physical Society (APS)},
  year = {2014},
  volume = {90},
  number = {1},
  doi = {https://doi.org/10.1103/physrevd.90.017502}
}
Horowitz, J.M. and Esposito, M. Thermodynamics with Continuous Information Flow 2014 Phys. Rev. X
Vol. 4, pp. 031015 
article DOI URL 
BibTeX:
@article{Horowitz2014_vol4,
  author = {Horowitz, J. M. and Esposito, M.},
  title = {Thermodynamics with Continuous Information Flow},
  journal = {Phys. Rev. X},
  publisher = {American Physical Society},
  year = {2014},
  volume = {4},
  pages = {031015},
  url = {http://link.aps.org/doi/10.1103/PhysRevX.4.031015},
  doi = {https://doi.org/10.1103/PhysRevX.4.031015}
}
Nifenecker, H. Physique des éoliennes 2014 Ressources énergétiques et stockage  article DOI  
BibTeX:
@article{Nifenecker2014vol,
  author = {Nifenecker, Hervé},
  title = {Physique des éoliennes},
  journal = {Ressources énergétiques et stockage},
  publisher = {Editions Techniques de l Ingenieur},
  year = {2014},
  doi = {https://doi.org/10.51257/a-v1-be8584}
}
Tkacik, G., Mora, T., Marre, O., Amodei, D., Berry II, M. and Bialek, W. Thermodynamics for a network of neurons: Signatures of criticality 2014 arXiv  article  
BibTeX:
@article{Tkacik2014_vol,
  author = {Tkacik, G. and Mora, T. and Marre, O. and Amodei, D. and Berry, II, M. J. and Bialek, W.},
  title = {Thermodynamics for a network of neurons: Signatures of criticality},
  journal = {arXiv},
  year = {2014}
}
Zannetti, M., Corberi, F. and Gonnella, G. Condensation of fluctuations in and out of equilibrium 2014 Phys. Rev. E
Vol. 90, pp. 012143 
article DOI URL 
BibTeX:
@article{Zannetti2014_vol90,
  author = {Zannetti, Marco and Corberi, Federico and Gonnella, Giuseppe},
  title = {Condensation of fluctuations in and out of equilibrium},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {90},
  pages = {012143},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.90.012143},
  doi = {https://doi.org/10.1103/PhysRevE.90.012143}
}
Golubeva, N. and Imparato, A. Efficiency at maximum power of motor traffic on networks 2014 Phys. Rev. E
Vol. 89, pp. 062118 
article DOI URL 
BibTeX:
@article{Golubeva2014_vol89,
  author = {Golubeva, N. and Imparato, A.},
  title = {Efficiency at maximum power of motor traffic on networks},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {89},
  pages = {062118},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.89.062118},
  doi = {https://doi.org/10.1103/PhysRevE.89.062118}
}
Ito, S. and Sagawa, T. Maxwell's demon in biochemical signal transduction with feedback loop 2014 arXiv  article  
BibTeX:
@article{Ito2014_vol,
  author = {Ito, S. and Sagawa, T.},
  title = {Maxwell's demon in biochemical signal transduction with feedback loop},
  journal = {arXiv},
  year = {2014}
}
Vaikuntanathan, S., Gingrich, T.R. and Geissler, P.L. Dynamic phase transitions in simple driven kinetic networks 2014 Phys. Rev. E
Vol. 89, pp. 062108 
article DOI URL 
BibTeX:
@article{Vaikuntanathan2014_vol89,
  author = {Vaikuntanathan, S. and Gingrich, T. R. and Geissler, P. L.},
  title = {Dynamic phase transitions in simple driven kinetic networks},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {89},
  pages = {062108},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.89.062108},
  doi = {https://doi.org/10.1103/PhysRevE.89.062108}
}
Bulnes Cuetara, G., Esposito, M. and Imparato, A. Exact fluctuation theorem without ensemble quantities 2014 Phys. Rev. E
Vol. 89, pp. 052119 
article DOI URL 
BibTeX:
@article{BulnesCuetara2014_vol,
  author = {Bulnes Cuetara, G. and Esposito, M. and Imparato, A.},
  title = {Exact fluctuation theorem without ensemble quantities},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {89},
  pages = {052119},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.89.052119},
  doi = {https://doi.org/10.1103/PhysRevE.89.052119}
}
Tu, Z.C. Stochastic heat engine with the consideration of inertial effects and shortcuts to adiabaticity 2014 Phys. Rev. E
Vol. 89, pp. 052148 
article DOI URL 
BibTeX:
@article{Tu2014_vol89,
  author = {Tu, Z. C.},
  title = {Stochastic heat engine with the consideration of inertial effects and shortcuts to adiabaticity},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {89},
  pages = {052148},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.89.052148},
  doi = {https://doi.org/10.1103/PhysRevE.89.052148}
}
Utsumi, Y., Entin-Wohlman, O., Aharony, A., Kubo, T. and Tokura, Y. Fluctuation theorem for heat transport probed by a thermal probe electrode 2014 Phys. Rev. B
Vol. 89, pp. 205314 
article DOI URL 
BibTeX:
@article{Utsumi2014_vol89,
  author = {Utsumi, Y. and Entin-Wohlman, O. and Aharony, A. and Kubo, T. and Tokura, Y.},
  title = {Fluctuation theorem for heat transport probed by a thermal probe electrode},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2014},
  volume = {89},
  pages = {205314},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.89.205314},
  doi = {https://doi.org/10.1103/PhysRevB.89.205314}
}
Vosk, R. and Altman, E. Dynamical Quantum Phase Transitions in Random Spin Chains 2014 Phys. Rev. Lett.
Vol. 112, pp. 217204 
article DOI URL 
BibTeX:
@article{Vosk2014_vol112,
  author = {Vosk, Ronen and Altman, Ehud},
  title = {Dynamical Quantum Phase Transitions in Random Spin Chains},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2014},
  volume = {112},
  pages = {217204},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.112.217204},
  doi = {https://doi.org/10.1103/PhysRevLett.112.217204}
}
Lippiello, E., Baiesi, M. and Sarracino, A. Nonequilibrium Fluctuation-Dissipation Theorem and Heat Production 2014 Phys. Rev. Lett.
Vol. 112, pp. 140602 
article DOI URL 
BibTeX:
@article{Lippiello2014_vol112,
  author = {Lippiello, E. and Baiesi, M. and Sarracino, A.},
  title = {Nonequilibrium Fluctuation-Dissipation Theorem and Heat Production},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2014},
  volume = {112},
  pages = {140602},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.112.140602},
  doi = {https://doi.org/10.1103/PhysRevLett.112.140602}
}
Whitney, R.S. Most Efficient Quantum Thermoelectric at Finite Power Output 2014 Phys. Rev. Lett.
Vol. 112, pp. 130601 
article DOI URL 
BibTeX:
@article{Whitney2014_vol112,
  author = {Whitney, Robert S.},
  title = {Most Efficient Quantum Thermoelectric at Finite Power Output},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2014},
  volume = {112},
  pages = {130601},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.112.130601},
  doi = {https://doi.org/10.1103/PhysRevLett.112.130601}
}
Kadanoff, L. Innovations in Statistical Physics 2014 arXiv  article URL 
BibTeX:
@article{Kadanoff2014_vol,
  author = {Kadanoff, L. P.},
  title = {Innovations in Statistical Physics},
  journal = {arXiv},
  year = {2014},
  url = {http://arxiv.org/abs/1403.6464}
}
Sasa, S.-i. Derivation of Hydrodynamics from the Hamiltonian Description of Particle Systems 2014 Physical Review Letters
Vol. 112(10), pp. 100602 
article DOI  
BibTeX:
@article{Sasa2014vol112,
  author = {Shin-ichi Sasa},
  title = {Derivation of Hydrodynamics from the Hamiltonian Description of Particle Systems},
  journal = {Physical Review Letters},
  publisher = {American Physical Society (APS)},
  year = {2014},
  volume = {112},
  number = {10},
  pages = {100602},
  doi = {https://doi.org/10.1103/physrevlett.112.100602}
}
Baek, S.K. and Marchesoni, F. Nonequilibrium steady state of the kinetic Glauber-Ising model under an alternating magnetic field 2014 Phys. Rev. E
Vol. 89, pp. 022136 
article DOI URL 
BibTeX:
@article{Baek2014_vol89,
  author = {Baek, Seung Ki and Marchesoni, Fabio},
  title = {Nonequilibrium steady state of the kinetic Glauber-Ising model under an alternating magnetic field},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {89},
  pages = {022136},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.89.022136},
  doi = {https://doi.org/10.1103/PhysRevE.89.022136}
}
Garc\ia-Garc\ia, R. and Dom\inguez, D. Duration of local violations of the second law of thermodynamics along single trajectories in phase space 2014 Phys. Rev. E
Vol. 89, pp. 022116 
article DOI URL 
BibTeX:
@article{Garcia-Garcia2014_vol89,
  author = {Garc\ia-Garc\ia, Reinaldo and Dom\inguez, Daniel},
  title = {Duration of local violations of the second law of thermodynamics along single trajectories in phase space},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {89},
  pages = {022116},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.89.022116},
  doi = {https://doi.org/10.1103/PhysRevE.89.022116}
}
Entin-Wohlman, O., Jiang, J.-H. and Imry, Y. Efficiency and dissipation in a two-terminal thermoelectric junction, emphasizing small dissipation 2014 Phys. Rev. E
Vol. 89, pp. 012123 
article DOI URL 
BibTeX:
@article{Entin-Wohlman2014_vol89,
  author = {Entin-Wohlman, O. and Jiang, J.-H. and Imry, Y.},
  title = {Efficiency and dissipation in a two-terminal thermoelectric junction, emphasizing small dissipation},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {89},
  pages = {012123},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.89.012123},
  doi = {https://doi.org/10.1103/PhysRevE.89.012123}
}
Harbola, U., Van den Broeck, C. and Lindenberg, K. Large deviation function and fluctuation theorem for classical particle transport 2014 Phys. Rev. E
Vol. 89, pp. 012141 
article DOI URL 
BibTeX:
@article{Harbola2014_vol89,
  author = {Harbola, U. and Van den Broeck, C. and Lindenberg, K.},
  title = {Large deviation function and fluctuation theorem for classical particle transport},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {89},
  pages = {012141},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.89.012141},
  doi = {https://doi.org/10.1103/PhysRevE.89.012141}
}
Langemeyer, M. and Holthaus, M. Energy flow in periodic thermodynamics 2014 Phys. Rev. E
Vol. 89, pp. 012101 
article DOI URL 
BibTeX:
@article{Langemeyer2014_vol89,
  author = {Langemeyer, Matthias and Holthaus, Martin},
  title = {Energy flow in periodic thermodynamics},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {89},
  pages = {012101},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.89.012101},
  doi = {https://doi.org/10.1103/PhysRevE.89.012101}
}
Masharian, S.R., Torkaman, P. and Jafarpour, F.H. Particle-current fluctuations in a variant of the asymmetric Glauber model 2014 Phys. Rev. E
Vol. 89, pp. 012133 
article DOI URL 
BibTeX:
@article{Masharian2014_vol89,
  author = {Masharian, S. R. and Torkaman, P. and Jafarpour, F. H.},
  title = {Particle-current fluctuations in a variant of the asymmetric Glauber model},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {89},
  pages = {012133},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.89.012133},
  doi = {https://doi.org/10.1103/PhysRevE.89.012133}
}
Roßnagel, J., Abah, O., Schmidt-Kaler, F., Singer, K. and Lutz, E. Nanoscale Heat Engine Beyond the Carnot Limit 2014 Physical Review Letters
Vol. 112(3) 
article DOI  
BibTeX:
@article{Rosnagel2014vol112,
  author = {J. Roßnagel and O. Abah and F. Schmidt-Kaler and K. Singer and E. Lutz},
  title = {Nanoscale Heat Engine Beyond the Carnot Limit},
  journal = {Physical Review Letters},
  publisher = {American Physical Society (APS)},
  year = {2014},
  volume = {112},
  number = {3},
  doi = {https://doi.org/10.1103/physrevlett.112.030602}
}
Sheng, S. and Tu, Z.C. Weighted reciprocal of temperature, weighted thermal flux, and their applications in finite-time thermodynamics 2014 Phys. Rev. E
Vol. 89, pp. 012129 
article DOI URL 
BibTeX:
@article{Sheng2014_vol89,
  author = {Sheng, S. and Tu, Z. C.},
  title = {Weighted reciprocal of temperature, weighted thermal flux, and their applications in finite-time thermodynamics},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {89},
  pages = {012129},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.89.012129},
  doi = {https://doi.org/10.1103/PhysRevE.89.012129}
}
Baiesi M. andBasu, U. and Maes, C. Thermal response in driven diffusive systems 2014 European Physical Journal B
Vol. 87, pp. 277 
article DOI  
BibTeX:
@article{Baiesi2014_vol87,
  author = {Baiesi, M. andBasu, U. and Maes, C.},
  title = {Thermal response in driven diffusive systems},
  journal = {European Physical Journal B},
  year = {2014},
  volume = {87},
  pages = {277},
  doi = {https://doi.org/10.1140/epjb/e2014-50622-2}
}
Barato, A.C. and Seifert, U. Unifying Three Perspectives on Information Processing in Stochastic Thermodynamics 2014 Phys. Rev. Lett.
Vol. 112, pp. 090601 
article DOI URL 
BibTeX:
@article{Barato2014_vol112,
  author = {Barato, A. C. and Seifert, U.},
  title = {Unifying Three Perspectives on Information Processing in Stochastic Thermodynamics},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2014},
  volume = {112},
  pages = {090601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.112.090601},
  doi = {https://doi.org/10.1103/PhysRevLett.112.090601}
}
Bauer, M. and Cornu, F. Affinity and Fluctuations in a Mesoscopic Noria 2014 J. Stat. Phys.
Vol. 155(4), pp. 703-736 
article DOI URL 
BibTeX:
@article{Bauer2014_vol155,
  author = {Bauer, M. and Cornu, F.},
  title = {Affinity and Fluctuations in a Mesoscopic Noria},
  journal = {J. Stat. Phys.},
  publisher = {Springer US},
  year = {2014},
  volume = {155},
  number = {4},
  pages = {703--736},
  url = {http://dx.doi.org/10.1007/s10955-014-0969-z},
  doi = {https://doi.org/10.1007/s10955-014-0969-z}
}
Bihouix, P. L'Age des low tech 2014   book  
BibTeX:
@book{Bihouix2014vol,
  author = {Philippe Bihouix},
  title = {L'Age des low tech},
  year = {2014}
}
Bomont, J.-M., Hansen, J.-P. and Pastore, G. An investigation of the liquid to glass transition using integral equations for the pair structure of coupled replicae 2014 J. Chem. Phys.
Vol. 141(17), pp. - 
article DOI URL 
BibTeX:
@article{Bomont2014_vol141,
  author = {Bomont, Jean-Marc and Hansen, Jean-Pierre and Pastore, Giorgio},
  title = {An investigation of the liquid to glass transition using integral equations for the pair structure of coupled replicae},
  journal = {J. Chem. Phys.},
  year = {2014},
  volume = {141},
  number = {17},
  pages = {-},
  url = {http://scitation.aip.org/content/aip/journal/jcp/141/17/10.1063/1.4900774},
  doi = {https://doi.org/10.1063/1.4900774}
}
Bomont, Jean-Marc, Pastore, Giorgio and Hansen, Jean-Pierre Probing the pair structure of supercooled fluids by integral equations: Evidence for an equilibrium liquid-ideal glass transition? 2014 Europhys. Lett.
Vol. 105(3), pp. 36003 
article DOI URL 
BibTeX:
@article{Bomont2014_vol105,
  author = {Bomont, Jean-Marc and Pastore, Giorgio and Hansen, Jean-Pierre},
  title = {Probing the pair structure of supercooled fluids by integral equations: Evidence for an equilibrium liquid-ideal glass transition?},
  journal = {Europhys. Lett.},
  year = {2014},
  volume = {105},
  number = {3},
  pages = {36003},
  url = {http://dx.doi.org/10.1209/0295-5075/105/36003},
  doi = {https://doi.org/10.1209/0295-5075/105/36003}
}
Bonella, S., Ciccotti, G. and Rondoni, L. Time reversal symmetry in time-dependent correlation functions for systems in a constant magnetic field 2014 Europhys. Lett.
Vol. 108(6), pp. 60004 
article URL 
Abstract: A generalised time reversal symmetry for systems subject to a constant
magnetic field is introduced, based on the analogy between the evolution
equations of these systems and those of a system subject to shear. This
generalisation makes it possible to derive symmetry relations for time
correlation functions that do not require to change the sign of the magnetic
field upon time reversal. This is to be contrasted with the standard Kubo
result in which the sign of the magnetic field does change, thus establishing
a symmetry relation between two distinct physical situations. Our result
implies, for example, that Onsager-Casimir relations may be replaced by
Onsager reciprocal relations even in the presence of a constant magnetic
field. It is also of practical importance to interpret experiments and
numerical simulations in which the systems considered are in a single
magnetic field.
BibTeX:
@article{Bonella2014_vol108,
  author = {S. Bonella and G. Ciccotti and L. Rondoni},
  title = {Time reversal symmetry in time-dependent correlation functions for systems in a constant magnetic field},
  journal = {Europhys. Lett.},
  year = {2014},
  volume = {108},
  number = {6},
  pages = {60004},
  url = {http://stacks.iop.org/0295-5075/108/i=6/a=60004}
}
Budini, A.A., Turner, R.M. and Garrahan, J.P. Fluctuating observation time ensembles in the thermodynamics of trajectories 2014 J. Stat. Mech: Theory Exp.
Vol. 2014(3), pp. P03012 
article URL 
Abstract: The dynamics of stochastic systems, both classical and quantum, can be
studied by analysing the statistical properties of dynamical trajectories.
The properties of ensembles of such trajectories for long, but fixed, times
are described by large-deviation (LD) rate functions. These LD functions play
the role of dynamical free energies: they are cumulant generating functions
for time-integrated observables, and their analytic structure encodes
dynamical phase behaviour. This 'thermodynamics of trajectories' approach is
to trajectories and dynamics what the equilibrium ensemble method of
statistical mechanics is to configurations and statics. Here we show that,
just like in the static case, there are a variety of alternative ensembles of
trajectories, each defined by their global constraints, with that of
trajectories of fixed total time being just one of these. We show how the LD
functions that describe an ensemble of trajectories where some time-extensive
quantity is constant (and large) but where total observation time fluctuates
can be mapped to those of the fixed-time ensemble. We discuss how the
correspondence between generalized ensembles can be exploited in path
sampling schemes for generating rare dynamical trajectories.
BibTeX:
@article{Budini2014_vol2014,
  author = {Adrián A Budini and Robert M Turner and Juan P Garrahan},
  title = {Fluctuating observation time ensembles in the thermodynamics of trajectories},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2014},
  volume = {2014},
  number = {3},
  pages = {P03012},
  url = {http://stacks.iop.org/1742-5468/2014/i=3/a=P03012}
}
Campisi, M. Fluctuation relation for quantum heat engines and refrigerators 2014 J. Phys. A: Math. Theor.
Vol. 47(24), pp. 245001 
article URL 
BibTeX:
@article{Campisi2014_vol47,
  author = {M. Campisi},
  title = {Fluctuation relation for quantum heat engines and refrigerators},
  journal = {J. Phys. A: Math. Theor.},
  year = {2014},
  volume = {47},
  number = {24},
  pages = {245001},
  url = {http://stacks.iop.org/1751-8121/47/i=24/a=245001}
}
Cornu, F. and Hilhorst, H.J. A parity breaking Ising chain Hamiltonian as a Brownian motor 2014 Europhys. Lett.
Vol. 108(1), pp. 10002 
article URL 
BibTeX:
@article{Cornu2014_vol108,
  author = {F. Cornu and H. J. Hilhorst},
  title = {A parity breaking Ising chain Hamiltonian as a Brownian motor},
  journal = {Europhys. Lett.},
  year = {2014},
  volume = {108},
  number = {1},
  pages = {10002},
  url = {http://stacks.iop.org/0295-5075/108/i=1/a=10002}
}
Diana, G. and Esposito, M. Mutual entropy production in bipartite systems 2014 J. Stat. Mech: Theory Exp.
Vol. 2014(4), pp. P04010 
article URL 
Abstract: It was recently shown by Barato et�al (2013 Phys. Rev.E�87 042104) that
the mutual information at the trajectory level of a bipartite Markovian
system is not bounded by the entropy production. In the same way as Gaspard
showed (2004 J. Stat. Phys.�117 599) that the entropy production is not
directly related to the Shannon entropy at the trajectory level but is in
fact equal to its difference from the so-called time-reversed Shannon
entropy, we show in this paper that the difference between the mutual
information and its time-reversed form is equal to the mutual entropy
production (MEP), i.e. the difference between the full entropy production and
that of the two marginal processes. Evaluation of the MEP is in general a
difficult task due to non-Markovian effects. For bipartite systems, we
provide closed expressions in various limiting regimes which we verify by
numerical simulations.
BibTeX:
@article{Diana2014_vol2014,
  author = {G. Diana and M. Esposito},
  title = {Mutual entropy production in bipartite systems},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2014},
  volume = {2014},
  number = {4},
  pages = {P04010},
  url = {http://stacks.iop.org/1742-5468/2014/i=4/a=P04010}
}
Dickman, R. Failure of steady-state thermodynamics in nonuniform driven lattice gases 2014 Phys. Rev. E
Vol. 90, pp. 062123 
article  
BibTeX:
@article{Dickman2014_vol90,
  author = {Dickman, R.},
  title = {Failure of steady-state thermodynamics in nonuniform driven lattice gases},
  journal = {Phys. Rev. E},
  year = {2014},
  volume = {90},
  pages = {062123}
}
Dickman, R. and Motai, R. Inconsistencies in steady-state thermodynamics 2014 Phys. Rev. E
Vol. 89, pp. 032134 
article  
BibTeX:
@article{Dickman2014_vol89,
  author = {Dickman, R. and Motai, R.},
  title = {Inconsistencies in steady-state thermodynamics},
  journal = {Phys. Rev. E},
  year = {2014},
  volume = {89},
  pages = {032134}
}
Engel, A. LDF of empirical density and current and Donsker-Varadhan formula 2014   unpublished  
BibTeX:
@unpublished{Notes_Engel2014,
  author = {Andreas Engel},
  title = {LDF of empirical density and current and Donsker-Varadhan formula},
  year = {2014},
  note = {handwritten notes; i should generalize for large number of particle following a langevin process and to time dependent case, and also to non thermal case.}
}
Farina, A., Frasca, M. and Sedehi, M. Solving Schrödinger equation via Tartaglia/Pascal triangle: a possible link between stochastic processing and quantum mechanics 2014 Signal, Image and Video Processing
Vol. 8(1), pp. 27-37 
article DOI URL 
Abstract: In a recent paper (Farina et al. in Signal Image Video Process 1--16, 2011),
it was shown a clean connection between the solution of the classical heat
equation and the Tartaglia/Pascal/Yang-Hui triangle. When the time variable
in the heat equation is substituted with the imaginary time, the heat
equation becomes the Schrödinger equation of the quantum mechanics. So, a
conjecture was put forward about a connection between the solution of the
Schrödinger equation and a suitable generalization of the Tartaglia
triangle. This paper proves that this conjecture is true and shows a new---as
far as the authors are aware---result concerning the generalization of the
classical Tartaglia triangle by introducing the ``complex-valued Tartaglia
triangle.'' A ``complex-valued Tartaglia triangle'' is just the square root
of an ordinary Tartaglia triangle, with a suitable phase factor calculated
via a discretized version of the ordinary continuous case of the
Schrödinger equation. So, taking the square of this complex-valued
Tartaglia triangle gives back exactly the probability distribution of a
discrete random walk. We also discuss about potential connections between the
theories of stochastic processes and quantum mechanics: a connection debated
since the inception of the theories and still lively hot today.
BibTeX:
@article{Farina2014_vol8,
  author = {Farina, A. and Frasca, M. and Sedehi, M.},
  title = {Solving Schrödinger equation via Tartaglia/Pascal triangle: a possible link between stochastic processing and quantum mechanics},
  journal = {Signal, Image and Video Processing},
  year = {2014},
  volume = {8},
  number = {1},
  pages = {27--37},
  url = {http://dx.doi.org/10.1007/s11760-013-0473-y},
  doi = {https://doi.org/10.1007/s11760-013-0473-y}
}
Gingrich, T., Rotskoff, G., Vaikuntanathan, S. and Geissler, P. Efficiency and large deviations in time-asymmetric stochastic heat engines 2014 New J. Phys.
Vol. 16(10), pp. 102003 
article DOI URL 
BibTeX:
@article{Gingrich2014_vol16,
  author = {Gingrich, T. R. and Rotskoff, G. M. and Vaikuntanathan, S. and Geissler, P. L.},
  title = {Efficiency and large deviations in time-asymmetric stochastic heat engines},
  journal = {New J. Phys.},
  year = {2014},
  volume = {16},
  number = {10},
  pages = {102003},
  url = {http://stacks.iop.org/1367-2630/16/i=10/a=102003},
  doi = {https://doi.org/10.1088/1367-2630/16/10/102003}
}
Jona-Lasinio, G. Thermodynamics of stationary states 2014 J. Stat. Mech: Theory Exp.
Vol. 2014(2), pp. P02004 
article URL 
Abstract: In the study of nonequilibrium phenomena, improving on near-equilibrium
linear approximations has long been a major goal. Over the past ten years, in
collaboration with Bertini, De Sole, Gabrielli and Landim, we developed a
general approach to nonequilibrium diffusive systems known as Macroscopic
Fluctuation Theory , making some progress in this direction. Our theory has
been inspired by stochastic models of interacting particles (stochastic
lattice gases). It is based on the study of rare fluctuations of macroscopic
variables in stationary states and leads to interesting new results and
predictions. This paper gives a compact presentation of the theory with some
applications.
BibTeX:
@article{Jona-Lasinio2014_vol2014,
  author = {Giovanni Jona-Lasinio},
  title = {Thermodynamics of stationary states},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2014},
  volume = {2014},
  number = {2},
  pages = {P02004},
  url = {http://stacks.iop.org/1742-5468/2014/i=2/a=P02004}
}
Kerner, R. Méthodes classiques de physique théorique, cours et problèmes résolus 2014   book  
Abstract: L'ouvrage de Richard Kerner, M�thodes classiques de physique th�orique,
arrive fort � propos. Ce n'est pas un nouvel ouvrage de math�matiques
pour la physique -- il en existe d'excellents -- mais un ouvrage d'initiation
� la physique th�orique dont l'ambition est de faire d�couvrir aux
�l�ves de licence certains aspects de sa d�marche et de ses m�thodes.
Nourri par une longue exp�rience de recherche et d'enseignement, l'ouvrage
met l'accent sur les m�thodes g�om�triques en physique. C'est l� un
choix tout � fait judicieux car les approches g�om�triques impr�gnent
toutes les grandes th�ories physiques actuelles. Dans un texte �crit dans
un style clair, direct et expurg� de tout formalisme inutile, l'auteur fait
partager au lecteur son int�r�t pour les approches g�om�triques.
Chaque chapitre est accompagn� d'une s�rie d'exercices corrig�s
permettant de v�rifier que les concepts ont bien �t� assimil�s. Ce
livre original qui n'a pas d'�quivalent en langue fran�aise est �
recommander chaleureusement aux �tudiants de L3 et de M1 int�ress�s par
la physique fondamentale. Alain Comtet
BibTeX:
@book{Book_Kerner2014,
  author = {Kerner, R.},
  title = {Méthodes classiques de physique théorique, cours et problèmes résolus},
  publisher = {Ellipses},
  year = {2014}
}
Kim, S.-Y. Yang-Lee Edge Singularity of the Infinite-Range Ising Model 2014
Vol. 1(2), pp. 193School: Korea National University of Transportation 
article URL 
Abstract: The Ising model, consisting magnetic spins, is the simplest system showing
phase transitions and critical phenomena at finite temperatures. The Ising
model has played a central role in our understanding of phase transitions and
critical phenomena. Also, the Ising model explains the gas-liquid phase
transitions accurately. However, the Ising model in a nonzero magnetic field
has been one of the most intriguing and outstanding unsolved problems. We
study analytically the partition function zeros in the complex magnetic-field
plane and the Yang-Lee edge singularity of the infinite-range Ising model in
an external magnetic field. In addition, we compare the Yang-Lee edge
singularity of the infinite-range Ising model with that of the square-lattice
Ising model in an external magnetic field.
BibTeX:
@article{Kim2014_vol1,
  author = {Seung-Yeon Kim},
  title = {Yang-Lee Edge Singularity of the Infinite-Range Ising Model},
  publisher = {World Academy of Science, Engineering and Technology},
  school = {Korea National University of Transportation},
  year = {2014},
  volume = {1},
  number = {2},
  pages = {193},
  url = {http://waset.org/abstracts/Physical-and-Mathematical-Sciences}
}
Liu, L.-W. and Hong, H.-K. A Clifford Algebra Formulation of Navier-cauchy Equation 2014 Procedia Engineering
Vol. 79, pp. 184-188 
article DOI  
BibTeX:
@article{Liu2014vol79,
  author = {Li-Wei Liu and Hong-Ki Hong},
  title = {A Clifford Algebra Formulation of Navier-cauchy Equation},
  journal = {Procedia Engineering},
  publisher = {Elsevier BV},
  year = {2014},
  volume = {79},
  pages = {184--188},
  doi = {https://doi.org/10.1016/j.proeng.2014.06.329}
}
Mazza, F., Bosisio, R., Benenti, G., Giovannetti, V., Fazio, R. and Taddei, F. Thermoelectric efficiency of three-terminal quantum thermal machines 2014 New J. Phys.
Vol. 16(8), pp. 085001 
article URL 
Abstract: The efficiency of a thermal engine working in the linear response regime in a
multi-terminal configuration is discussed. For the generic three-terminal
case, we provide a general definition of local and non-local transport
coefficients: electrical and thermal conductances, and thermoelectric powers.
Within the Onsager formalism, we derive analytical expressions for the
efficiency at maximum power, which can be written in terms of generalized
figures of merit. Furthermore, using two examples, we investigate numerically
how a third terminal could improve the performance of a quantum system, and
under which conditions non-local thermoelectric effects can be observed.
BibTeX:
@article{Mazza2014_vol16,
  author = {F. Mazza and R. Bosisio and G. Benenti and V. Giovannetti and R. Fazio and F. Taddei},
  title = {Thermoelectric efficiency of three-terminal quantum thermal machines},
  journal = {New J. Phys.},
  year = {2014},
  volume = {16},
  number = {8},
  pages = {085001},
  url = {http://stacks.iop.org/1367-2630/16/i=8/a=085001}
}
Mielke, A., Peletier, M. and Renger, D. On the Relation between Gradient Flows and the Large-Deviation Principle, with Applications to Markov Chains and Diffusion 2014 Potential Analysis
Vol. 41(4), pp. 1293-1327 
article DOI URL 
BibTeX:
@article{Mielke2014_vol41,
  author = {Mielke, A. and Peletier, M.A. and Renger, D.R.M.},
  title = {On the Relation between Gradient Flows and the Large-Deviation Principle, with Applications to Markov Chains and Diffusion},
  journal = {Potential Analysis},
  publisher = {Springer Netherlands},
  year = {2014},
  volume = {41},
  number = {4},
  pages = {1293--1327},
  url = {http://dx.doi.org/10.1007/s11118-014-9418-5},
  doi = {https://doi.org/10.1007/s11118-014-9418-5}
}
Nemoto, T., Lecomte, V., Sasa, S.I. and van Wijland, F. Finite-size effects in a mean-field kinetically constrained model: dynamical glassiness and quantum criticality 2014 J. Stat. Mech: Theory Exp.
Vol. 2014(10), pp. P10001 
article URL 
Abstract: On the example of a mean-field Fredrickson-Andersen kinetically constrained
model, we focus on the known property that equilibrium dynamics take place at
a first-order dynamical phase transition point in the space of time
realizations. We investigate the finite-size properties of this first-order
transition. By discussing and exploiting a mapping of the classical dynamical
transition-an argued glassiness signature-to a first-order quantum
transition, we show that the quantum analogy can be exploited to extract
finite-size properties, which in many respects are similar to those in
genuine mean-field quantum systems with a first-order transition. We fully
characterize the finite-size properties of the order parameter across the
first-order transition.
BibTeX:
@article{Nemoto2014_vol2014,
  author = {Nemoto,T. and Lecomte, V. and Sasa,S. I. and van Wijland, F.},
  title = {Finite-size effects in a mean-field kinetically constrained model: dynamical glassiness and quantum criticality},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2014},
  volume = {2014},
  number = {10},
  pages = {P10001},
  url = {http://stacks.iop.org/1742-5468/2014/i=10/a=P10001}
}
Polettini, M. and Esposito, M. Irreversible thermodynamics of open chemical networks. I. Emergent cycles and broken conservation laws 2014 J. Chem. Phys.
Vol. 141(2) 
article DOI URL 
BibTeX:
@article{Polettini2014_vol141,
  author = {Matteo Polettini and Massimiliano Esposito},
  title = {Irreversible thermodynamics of open chemical networks. I. Emergent cycles and broken conservation laws},
  journal = {J. Chem. Phys.},
  year = {2014},
  volume = {141},
  number = {2},
  url = {http://scitation.aip.org/content/aip/journal/jcp/141/2/10.1063/1.4886396},
  doi = {https://doi.org/10.1063/1.4886396}
}
Polettini, M. and Esposito, M. Transient fluctuation theorems for the currents and initial equilibrium ensembles 2014 J. Stat. Mech: Theory Exp.
Vol. 2014(10), pp. P10033 
article URL 
Abstract: We prove a transient fluctuation theorem for the currents for continuous-time
Markov jump processes with stationary rates, generalizing an asymptotic
result by Andrieux and Gaspard (2007 J. Stat. Phys. 127
[http://dx.doi.org/10.1007/s10955-006-9233-5] 107 ) to finite times. The
result is based on a graph-theoretical decomposition in cycle currents and an
additional set of tidal currents that characterize the transient relaxation
regime. The tidal term can then be removed by a preferred choice of a
suitable initial equilibrium ensemble, a result that provides the general
theory for the fluctuation theorem without ensemble quantities recently
addressed in Bulnes-Cuetara et al (2014 Phys. Rev. E 89
[http://dx.doi.org/10.1103/PhysRevE.89.052119] 052119 ). As an example we
study the reaction network of a simple stochastic chemical engine, and
finally we digress on general properties of fluctuation relations for more
complex chemical reaction networks.
BibTeX:
@article{Polettini2014_vol2014,
  author = {Polettini, M. and Esposito, M.},
  title = {Transient fluctuation theorems for the currents and initial equilibrium ensembles},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2014},
  volume = {2014},
  number = {10},
  pages = {P10033},
  url = {http://stacks.iop.org/1742-5468/2014/i=10/a=P10033}
}
Roldán, É.., Martínez, I.A., Parrondo, J.M.R. and Petrov, D. Universal features in the energetics of symmetry breaking 2014 Nat. Phys.
Vol. 10, pp. 457-461 
article DOI  
BibTeX:
@article{Roldan2014_vol10,
  author = {Roldán, É. and Martínez, I. A. and Parrondo, J. M. R. and Petrov, D.},
  title = {Universal features in the energetics of symmetry breaking},
  journal = {Nat. Phys.},
  year = {2014},
  volume = {10},
  pages = {457--461},
  doi = {https://doi.org/10.1038/nphys2940}
}
Ruelle, D. Non-Equilibrium Statistical Mechanics of Turbulence 2014 J. Stat. Phys.
Vol. 157(2), pp. 205-218 
article DOI URL 
BibTeX:
@article{Ruelle2014_vol157,
  author = {Ruelle, David},
  title = {Non-Equilibrium Statistical Mechanics of Turbulence},
  journal = {J. Stat. Phys.},
  publisher = {Springer US},
  year = {2014},
  volume = {157},
  number = {2},
  pages = {205--218},
  url = {http://dx.doi.org/10.1007/s10955-014-1086-8},
  doi = {https://doi.org/10.1007/s10955-014-1086-8}
}
Schaller, G. Non-Equilibrium Master Equations 2014   unpublished URL 
BibTeX:
@unpublished{Notes_Schaller2014,
  author = {Gernot Schaller},
  title = {Non-Equilibrium Master Equations},
  year = {2014},
  url = {http://wwwitp.physik.tu-berlin.de/ schaller/}
}
Touchette, H. Equivalence and nonequivalence of ensembles: Thermodynamic, macrostate, and measure levels 2014 arXiv  article URL 
BibTeX:
@article{Touchette2014_vol,
  author = {H. Touchette},
  title = {Equivalence and nonequivalence of ensembles: Thermodynamic, macrostate, and measure levels},
  journal = {arXiv},
  year = {2014},
  url = {http://arxiv.org/abs/1403.6608}
}
Touchette, H. Legendre-Fenchel transforms in a nutshell 2014   unpublished  
BibTeX:
@unpublished{Notes_Touchette2014,
  author = {Touchette, H.},
  title = {Legendre-Fenchel transforms in a nutshell},
  year = {2014}
}
Tusch, S., Kundu, A., Verley, G., Blondel, T., Miralles, V., Démoulin, D., Lacoste, D. and Baudry, J. Energy versus Information Based Estimations of Dissipation Using a Pair of Magnetic Colloidal Particles 2014 Phys. Rev. Lett.
Vol. 112, pp. 180604 
article DOI URL 
Abstract: Using the framework of stochastic thermodynamics, we present an experimental
study of a doublet of magnetic colloidal particles that is manipulated by a
time-dependent magnetic field. Because of hydrodynamic interactions, each
bead experiences a state-dependent friction, which we characterize using a
hydrodynamic model. In this work, we compare two estimates of the dissipation
in this system: the first one is energy based since it relies on the measured
interaction potential, while the second one is information based since it
uses only the information content of the trajectories. While the latter only
offers a lower bound of the former, we find it to be simple to implement and
of general applicability to more complex systems.
BibTeX:
@article{Tusch2014_vol112,
  author = {Tusch, S. and Kundu, A. and Verley, G. and Blondel, T. and Miralles, V. and Démoulin, D. and Lacoste, D. and Baudry, J.},
  title = {Energy versus Information Based Estimations of Dissipation Using a Pair of Magnetic Colloidal Particles},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2014},
  volume = {112},
  pages = {180604},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Tusch2014_vol112.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Tusch2014_vol112.pdf},
  doi = {https://doi.org/10.1103/PhysRevLett.112.180604}
}
Van den Broeck, C. and Esposito, M. Ensemble and trajectory thermodynamics: A brief introduction 2014 Phys. A
Vol. 418(0), pp. 6-16 
article DOI URL 
Abstract: We revisit stochastic thermodynamics for a system with discrete energy states
in contact with a heat and particle reservoir.
BibTeX:
@article{VandenBroeck2014_vol418,
  author = {Van den Broeck, C. and Esposito, M.},
  title = {Ensemble and trajectory thermodynamics: A brief introduction},
  journal = {Phys. A},
  year = {2014},
  volume = {418},
  number = {0},
  pages = {6--16},
  url = {http://www.sciencedirect.com/science/article/pii/S037843711400346X},
  doi = {https://doi.org/10.1016/j.physa.2014.04.035}
}
Verley, G. Diffusion de Colloid avec coefficient de diffusion d�pendant de l'espace 2014   unpublished  
BibTeX:
@unpublished{Notes_Verley2014,
  author = {G. Verley},
  title = {Diffusion de Colloid avec coefficient de diffusion d�pendant de l'espace},
  year = {2014}
}
Verley, G., Van den Broeck, C. and Esposito, M. Work statistics in stochastically driven systems 2014 New J. Phys.
Vol. 16(9), pp. 095001 
article DOI URL 
Abstract: We identify the conditions under which a stochastic driving that induces
energy changes into a system coupled with a thermal bath can be treated as a
work source. When these conditions are met, the work statistics satisfy the
Crooks fluctuation theorem traditionally derived for deterministic drivings.
We illustrate this fact by calculating and comparing the work statistics for
a two-level system driven respectively by a stochastic and a deterministic
piecewise constant protocol.
BibTeX:
@article{Verley2014_vol16,
  author = {Verley, G. and Van den Broeck, C. and Esposito, M.},
  title = {Work statistics in stochastically driven systems},
  journal = {New J. Phys.},
  year = {2014},
  volume = {16},
  number = {9},
  pages = {095001},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2014_vol16.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2014_vol16.pdf},
  doi = {https://doi.org/10.1088/1367-2630/16/9/095001}
}
Verley, G., Willaert, T., Van den Broeck, C. and Esposito, M. The unlikely Carnot efficiency 2014 Nat. Commun.
Vol. 5, pp. 4721 
article DOI URL 
Abstract: The efficiency of an heat engine is traditionally defined as the ratio of its
average output work over its average input heat. Its highest possible value
was discovered by Carnot in 1824 and is a cornerstone concept in
thermodynamics. It led to the discovery of the second law and to the
definition of the Kelvin temperature scale. Small-scale engines operate in
the presence of highly fluctuating input and output energy fluxes. They are
therefore much better characterized by fluctuating efficiencies. In this
study, using the fluctuation theorem, we identify universal features of
efficiency fluctuations. While the standard thermodynamic efficiency is, as
expected, the most likely value, we find that the Carnot efficiency is,
surprisingly, the least likely in the long time limit. Furthermore, the
probability distribution for the efficiency assumes a universal scaling form
when operating close-to-equilibrium. We illustrate our results analytically
and numerically on two model systems.
BibTeX:
@article{Verley2014_vol5,
  author = {Verley, G. and Willaert, T. and Van den Broeck, C. and Esposito, M.},
  title = {The unlikely Carnot efficiency},
  journal = {Nat. Commun.},
  year = {2014},
  volume = {5},
  pages = {4721},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2014_vol5_Arxiv.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2014_vol5_Arxiv.pdf},
  doi = {https://doi.org/10.1038/ncomms5721}
}
Verley, G., Willaert, T., Van den Broeck, C. and Esposito, M. Universal theory of efficiency fluctuations 2014 Phys. Rev. E
Vol. 90, pp. 052145 
article DOI URL 
Abstract: Using the fluctuation theorem supplemented with geometric arguments, we
derive universal features of the (long-time) efficiency fluctuations for
thermal and isothermal machines operating under steady or periodic driving,
close or far from equilibrium. In particular, the probabilities for observing
the reversible efficiency and the least likely efficiency are identical to
those of the same machine working under the time-reversed driving. For
time-symmetric drivings, this reversible and the least probable efficiency
coincide.
BibTeX:
@article{Verley2014_vol90,
  author = {Verley, G. and Willaert, T. and Van den Broeck, C. and Esposito, M.},
  title = {Universal theory of efficiency fluctuations},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2014},
  volume = {90},
  pages = {052145},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2014_vol90.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2014_vol90.pdf},
  doi = {https://doi.org/10.1103/PhysRevE.90.052145}
}
Steane, A.M. An introduction to spinors 2013   article  
Abstract: We introduce spinors, at a level appropriate for an undergraduate or first
year graduate course on relativity, astrophysics or particle physics. The
treatment assumes very little mathematical knowledge (mainly just vector
analysis and some idea of what a group is). The SU(2)--SO(3) homomorphism is
presented in detail. Lorentz transformation, chirality, and the spinor
Minkowski metric are introduced. Applications to electromagnetism, parity
violation, and to Dirac spinors are presented. A classical form of the Dirac
equation is obtained, and the (quantum) prediction that g=2 for Dirac
particles is presented.
BibTeX:
@article{Steane2013vol,
  author = {Andrew M. Steane},
  title = {An introduction to spinors},
  year = {2013}
}
Apertet, Y. Reflections on the thermodynamic optimization of thermoelectric generators 2013 (2013PA112322)School: Université Paris Sud - Paris XI  phdthesis URL 
BibTeX:
@phdthesis{Apertet2013vol,
  author = {Apertet, Yann},
  title = {Reflections on the thermodynamic optimization of thermoelectric generators},
  school = {Université Paris Sud - Paris XI},
  year = {2013},
  number = {2013PA112322},
  url = {https://tel.archives-ouvertes.fr/tel-00942393}
}
Jack, R.L. and Sollich, P. Large deviations of the dynamical activity in the East model: analysing structure in biased trajectories 2013 Journal of Physics A: Mathematical and Theoretical
Vol. 47(1), pp. 015003 
article DOI URL 
Abstract: We consider large deviations of the dynamical activity in the East model. We
bias this system to larger than average activity and investigate the
structure that emerges. To best characterize this structure, we exploit the
fact that there are effective interactions that would reproduce the same
behaviour in an equilibrium system. We combine numerical results with linear
response theory and variational estimates of these effective interactions,
giving the first insights into such interactions in a many-body system,
across a wide range of biases. The system exhibits a hierarchy of responses
to the bias, remaining quasi-equilibrated on short length scales, but
deviating far from equilibrium on large length scales. We discuss the
connection between this hierarchy and the hierarchical ageing behaviour of
the system.
BibTeX:
@article{Jack2013vol47,
  author = {Robert L Jack and Peter Sollich},
  title = {Large deviations of the dynamical activity in the East model: analysing structure in biased trajectories},
  journal = {Journal of Physics A: Mathematical and Theoretical},
  publisher = {IOP Publishing},
  year = {2013},
  volume = {47},
  number = {1},
  pages = {015003},
  url = {https://doi.org/10.1088%2F1751-8113%2F47%2F1%2F015003},
  doi = {https://doi.org/10.1088/1751-8113/47/1/015003}
}
Baerts, P., Basu, U., Maes, C. and Safaverdi, S. Frenetic origin of negative differential response 2013 Phys. Rev. E
Vol. 88, pp. 052109 
article DOI URL 
BibTeX:
@article{Baerts2013_vol88,
  author = {Baerts, P. and Basu, U. and Maes, C. and Safaverdi, S.},
  title = {Frenetic origin of negative differential response},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {88},
  pages = {052109},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.88.052109},
  doi = {https://doi.org/10.1103/PhysRevE.88.052109}
}
Benenti, G., Casati, G., Prosen, T. and Saito, K. Fundamental aspects of steady state heat to work conversion 2013 arXiv  article  
BibTeX:
@article{Benenti2013_vol,
  author = {Benenti, G. and Casati, G. and Prosen, T. and Saito, K.},
  title = {Fundamental aspects of steady state heat to work conversion},
  journal = {arXiv},
  year = {2013}
}
Lazarescu, A. Exact Large Deviations of the Current in the Asymmetric Simple Exclusion Process with Open Boundaries 2013 arXiv  phdthesis  
BibTeX:
@phdthesis{Phdthesis_Lazarescu2013,
  author = {Lazarescu, A.},
  title = {Exact Large Deviations of the Current in the Asymmetric Simple Exclusion Process with Open Boundaries},
  journal = {arXiv},
  year = {2013}
}
Maarleveld, T.R., Olivier, B.G. and Bruggeman, F.J. StochPy: A Comprehensive, User-Friendly Tool for Simulating Stochastic Biological Processes {2013} PLOS ONE
Vol. {8}({11}) 
article DOI  
BibTeX:
@article{Maarleveld2013_vol8,
  author = {Maarleveld, Timo R. and Olivier, Brett G. and Bruggeman, Frank J.},
  title = {StochPy: A Comprehensive, User-Friendly Tool for Simulating Stochastic Biological Processes},
  journal = {PLOS ONE},
  year = {2013},
  volume = {8},
  number = {11},
  doi = {https://doi.org/10.1371/journal.pone.0079345}
}
Bény, C. and Osborne, T. Renormalisation as an inference problem 2013 arXiv  article URL 
BibTeX:
@article{Beny2013_vol,
  author = {Bény, C. and Osborne, T. J.},
  title = {Renormalisation as an inference problem},
  journal = {arXiv},
  year = {2013},
  url = {http://arxiv.org/abs/1310.3188}
}
Bulnes Cuetara, G. Fluctuation theorem for quantum electron transport in mesoscopic circuits 2013 arXivSchool: Universit� Libre de Bruxelles  phdthesis  
BibTeX:
@phdthesis{BulnesCuetara2013_vol,
  author = {Bulnes Cuetara, G.},
  title = {Fluctuation theorem for quantum electron transport in mesoscopic circuits},
  journal = {arXiv},
  school = {Universit� Libre de Bruxelles},
  year = {2013}
}
Ferretti, L., Mamino, M. and Bianconi, G. Condensation and topological phase transitions in a dynamical network model with rewiring of the links 2013 arXiv  article URL 
BibTeX:
@article{Ferretti2013_vol,
  author = {Ferretti, L. and Mamino, M. and Bianconi, G.},
  title = {Condensation and topological phase transitions in a dynamical network model with rewiring of the links},
  journal = {arXiv},
  year = {2013},
  url = {http://arxiv.org/abs/1310.3852}
}
Mitchell, J., Hsu, B. and Galitski, V. Kramers-Wannier Duality of Statistical Mechanics Applied to the Boolean Satisfiability Problem of Computer Science 2013 arXiv  article URL 
BibTeX:
@article{Mitchell2013_vol,
  author = {Mitchell, J. and Hsu, B. and Galitski, V.},
  title = {Kramers-Wannier Duality of Statistical Mechanics Applied to the Boolean Satisfiability Problem of Computer Science},
  journal = {arXiv},
  year = {2013},
  url = {http://arxiv.org/abs/1310.2252}
}
Mordovina, U. and Emary, C. Full counting statistics of random transition-rate matrices 2013 arXiv  article URL 
BibTeX:
@article{Mordovina2013_vol,
  author = {Mordovina, U. and Emary, C.},
  title = {Full counting statistics of random transition-rate matrices},
  journal = {arXiv},
  year = {2013},
  url = {http://arxiv.org/abs/1310.4070}
}
Porporato, A. On the Dual Structure of Thermodynamics 2013 arXiv  article URL 
BibTeX:
@article{Porporato2013_vol,
  author = {Porporato, A.},
  title = {On the Dual Structure of Thermodynamics},
  journal = {arXiv},
  year = {2013},
  url = {http://arxiv.org/abs/1310.4135}
}
Seganti, A., Ricci-Tersenghi, F. and De Martino, A. Searching for feasible stationary states in reaction networks by solving a Boolean constraint satisfaction problem 2013 arXiv  article URL 
BibTeX:
@article{Seganti2013_vol,
  author = {Seganti, A. and Ricci-Tersenghi, F. and De Martino, A.},
  title = {Searching for feasible stationary states in reaction networks by solving a Boolean constraint satisfaction problem},
  journal = {arXiv},
  year = {2013},
  url = {http://arxiv.org/abs/1310.5637}
}
Becker, T., Nelissen, K., Cleuren, B., Partoens, B. and Van den Broeck, C. Diffusion of Interacting Particles in Discrete Geometries 2013 Phys. Rev. Lett.
Vol. 111, pp. 110601 
article DOI URL 
BibTeX:
@article{Becker2013_vol111,
  author = {Becker, T. and Nelissen, K. and Cleuren, B. and Partoens, B. and Van den Broeck, C.},
  title = {Diffusion of Interacting Particles in Discrete Geometries},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {111},
  pages = {110601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.111.110601},
  doi = {https://doi.org/10.1103/PhysRevLett.111.110601}
}
Bulnes Cuetara, G., Esposito, M., Schaller, G. and Gaspard, P. Effective fluctuation theorems for electron transport in a double quantum dot coupled to a quantum point contact 2013 Phys. Rev. B
Vol. 88, pp. 115134 
article DOI URL 
BibTeX:
@article{BulnesCuetara2013_vol88,
  author = {Bulnes Cuetara, G. and Esposito, M. and Schaller, G. and Gaspard, P.},
  title = {Effective fluctuation theorems for electron transport in a double quantum dot coupled to a quantum point contact},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2013},
  volume = {88},
  pages = {115134},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.88.115134},
  doi = {https://doi.org/10.1103/PhysRevB.88.115134}
}
Chétrite, R. and Touchette, H. Nonequilibrium Microcanonical and Canonical Ensembles and Their Equivalence 2013 Phys. Rev. Lett.
Vol. 111, pp. 120601 
article DOI URL 
BibTeX:
@article{Chetrite2013_vol111,
  author = {Chétrite, R. and Touchette, H.},
  title = {Nonequilibrium Microcanonical and Canonical Ensembles and Their Equivalence},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {111},
  pages = {120601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.111.120601},
  doi = {https://doi.org/10.1103/PhysRevLett.111.120601}
}
Noh, J.D., Kwon, C. and Park, H. Multiple Dynamic Transitions in Nonequilibrium Work Fluctuations 2013 Phys. Rev. Lett.
Vol. 111, pp. 130601 
article DOI URL 
BibTeX:
@article{Noh2013_vol111,
  author = {Noh, Jae Dong and Kwon, Chulan and Park, Hyunggyu},
  title = {Multiple Dynamic Transitions in Nonequilibrium Work Fluctuations},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {111},
  pages = {130601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.111.130601},
  doi = {https://doi.org/10.1103/PhysRevLett.111.130601}
}
Apertet, Y., Ouerdane, H., Goupil, C. and Lecoeur, P. From local force-flux relationships to internal dissipations and their impact on heat engine performance: The illustrative case of a thermoelectric generator 2013 Phys. Rev. E
Vol. 88, pp. 022137 
article DOI URL 
BibTeX:
@article{Apertet2013_vol88,
  author = {Yann Apertet and Henni Ouerdane and Christophe Goupil and Philippe Lecoeur},
  title = {From local force-flux relationships to internal dissipations and their impact on heat engine performance: The illustrative case of a thermoelectric generator},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {88},
  pages = {022137},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.88.022137},
  doi = {https://doi.org/10.1103/PhysRevE.88.022137}
}
Dhar, A. and Saito, K. Anomalous transport and current fluctuations in a model of diffusing Levy walkers 2013 arXiv  article  
BibTeX:
@article{Dhar2013_vol,
  author = {Dhar, A. and Saito, K.},
  title = {Anomalous transport and current fluctuations in a model of diffusing Levy walkers},
  journal = {arXiv},
  year = {2013}
}
Maes, C. and Netocný, K. A Nonequilibrium Extension of the Clausius Heat Theorem 2013 J. Stat. Phys.  article DOI  
BibTeX:
@article{Maes2013_vol,
  author = {Maes, C. and Netocný, K.},
  title = {A Nonequilibrium Extension of the Clausius Heat Theorem},
  journal = {J. Stat. Phys.},
  year = {2013},
  doi = {https://doi.org/10.1007/s10955-013-0822-9}
}
Davies, R.W., Davies, K.T.R. and Nydick, D.S. Field equations for the massive vector boson from Dirac and Weinberg formalisms 2013 Canadian Journal of Physics
Vol. 91(7), pp. 506-518 
article DOI  
BibTeX:
@article{Davies2013vol91,
  author = {Davies, Richard W. and Davies, K. Thomas R. and Nydick, Daniel S.},
  title = {Field equations for the massive vector boson from Dirac and Weinberg formalisms},
  journal = {Canadian Journal of Physics},
  publisher = {Canadian Science Publishing},
  year = {2013},
  volume = {91},
  number = {7},
  pages = {506--518},
  doi = {https://doi.org/10.1139/cjp-2012-0433}
}
Fleming, C.H., Hu, B.L. and Roura, A. Nonequilibrium fluctuation-dissipation inequality and nonequilibrium uncertainty principle 2013 Phys. Rev. E
Vol. 88, pp. 012102 
article DOI URL 
BibTeX:
@article{Fleming2013vol88,
  author = {Fleming, C. H. and Hu, B. L. and Roura, Albert},
  title = {Nonequilibrium fluctuation-dissipation inequality and nonequilibrium uncertainty principle},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {88},
  pages = {012102},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.88.012102},
  doi = {https://doi.org/10.1103/PhysRevE.88.012102}
}
Fort, E., Eddi, A., Boudaoud, A., Moukhtar, J. and Couder, Y. Path-memory induced quantization of classical orbits 2013 Proc. Natl. Acad. Sci. U.S.A.
Vol. 107(41), pp. 17515-17520 
article DOI  
BibTeX:
@article{Fort2013_vol107,
  author = {Fort, E. and Eddi, A. and Boudaoud, A. and Moukhtar, J. and Couder, Y.},
  title = {Path-memory induced quantization of classical orbits},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  year = {2013},
  volume = {107},
  number = {41},
  pages = {17515--17520},
  doi = {https://doi.org/10.1073/pnas.1007386107}
}
Golubeva, N. and Imparato, A. Maximum power operation of interacting molecular motors 2013 Phys. Rev. E
Vol. 88, pp. 012114 
article DOI URL 
BibTeX:
@article{Golubeva2013_vol88,
  author = {Golubeva, N. and Imparato, A.},
  title = {Maximum power operation of interacting molecular motors},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {88},
  pages = {012114},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.88.012114},
  doi = {https://doi.org/10.1103/PhysRevE.88.012114}
}
Illien, P., B}enichou, O., Mejía-Monasterio, C., Oshanin, G. and Voituriez, R. Active Transport in Dense Diffusive Single-File Systems 2013 Phys. Rev. Lett.
Vol. 111, pp. 038102 
article DOI URL 
BibTeX:
@article{Illien2013_vol111,
  author = {Illien, P. and B}enichou, O. and Mejía-Monasterio, C. and Oshanin, G. and Voituriez, R.},
  title = {Active Transport in Dense Diffusive Single-File Systems},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {111},
  pages = {038102},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.111.038102},
  doi = {https://doi.org/10.1103/PhysRevLett.111.038102}
}
Mandal, D., Quan, H.T. and JaMandal, D. Maxwell's Refrigerator: An Exactly Solvable Model 2013 Phys. Rev. Lett.
Vol. 111, pp. 030602 
article DOI URL 
BibTeX:
@article{Mandal2013_vol111,
  author = {Mandal, D. and Quan, H. T. and JaMandal, DC},
  title = {Maxwell's Refrigerator: An Exactly Solvable Model},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {111},
  pages = {030602},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.111.030602},
  doi = {https://doi.org/10.1103/PhysRevLett.111.030602}
}
Polettini, M. and Esposito, M. Nonconvexity of the relative entropy for Markov dynamics: A Fisher information approach 2013 Phys. Rev. E
Vol. 88, pp. 012112 
article DOI URL 
BibTeX:
@article{Polettini2013_vol88,
  author = {Polettini, M. and Esposito, M.},
  title = {Nonconvexity of the relative entropy for Markov dynamics: A Fisher information approach},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {88},
  pages = {012112},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.88.012112},
  doi = {https://doi.org/10.1103/PhysRevE.88.012112}
}
Pressé, S., Ghosh, K., Lee, J. and Dill, K.A. Principles of maximum entropy and maximum caliber in statistical physics 2013 Rev. Mod. Phys.
Vol. 85, pp. 1115-1141 
review DOI URL 
BibTeX:
@review{Presse2013_vol85,
  author = {Pressé, Steve and Ghosh, Kingshuk and Lee, Julian and Dill, Ken A.},
  title = {Principles of maximum entropy and maximum caliber in statistical physics},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {85},
  pages = {1115--1141},
  url = {http://link.aps.org/doi/10.1103/RevModPhys.85.1115},
  doi = {https://doi.org/10.1103/RevModPhys.85.1115}
}
Zuber, J.-B. Invariances in Physics and Group Theory 2013 arXiv  article URL 
BibTeX:
@article{Zuber2013_vol,
  author = {Zuber, J.-B.},
  title = {Invariances in Physics and Group Theory},
  journal = {arXiv},
  year = {2013},
  url = {http://fr.arxiv.org/abs/1307.3970}
}
Brett, T. and Galla, T. Stochastic Processes with Distributed Delays: Chemical Langevin Equation and Linear-Noise Approximation 2013 Phys. Rev. Lett.
Vol. 110, pp. 250601 
article DOI URL 
BibTeX:
@article{Brett2013_vol110,
  author = {Brett, Tobias and Galla, Tobias},
  title = {Stochastic Processes with Distributed Delays: Chemical Langevin Equation and Linear-Noise Approximation},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {110},
  pages = {250601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.110.250601},
  doi = {https://doi.org/10.1103/PhysRevLett.110.250601}
}
Dotsenko, V., Maciołek, A., Vasilyev, O. and Oshanin, G. Two-temperature Langevin dynamics in a parabolic potential 2013 Phys. Rev. E
Vol. 87, pp. 062130 
article DOI URL 
BibTeX:
@article{Dotsenko2013,
  author = {Dotsenko, Victor and Maciołek, Anna and Vasilyev, Oleg and Oshanin, Gleb},
  title = {Two-temperature Langevin dynamics in a parabolic potential},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {87},
  pages = {062130},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.87.062130},
  doi = {https://doi.org/10.1103/PhysRevE.87.062130}
}
Michel, G. and Searles, D.J. Local Fluctuation Theorem for Large Systems 2013 Phys. Rev. Lett.
Vol. 110, pp. 260602 
article DOI URL 
BibTeX:
@article{Michel2013_vol110,
  author = {Michel, G. and Searles, D. J.},
  title = {Local Fluctuation Theorem for Large Systems},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {110},
  pages = {260602},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.110.260602},
  doi = {https://doi.org/10.1103/PhysRevLett.110.260602}
}
Hickey, J., Flindt, C. and Garrahan, J. Trajectory phase transitions and dynamical Lee-Yang zeros of the Glauber-Ising chain 2013 arXiv  article  
BibTeX:
@article{Hickey2013_vol,
  author = {Hickey, J. M. and Flindt, C. and Garrahan, J. P.},
  title = {Trajectory phase transitions and dynamical Lee-Yang zeros of the Glauber-Ising chain},
  journal = {arXiv},
  year = {2013}
}
Nickelsen, D. and Engel, A. Probing Small-Scale Intermittency with a Fluctuation Theorem 2013 Phys. Rev. Lett.
Vol. 110, pp. 214501 
article DOI URL 
BibTeX:
@article{Nickelsen2013_vol110,
  author = {Nickelsen, Daniel and Engel, Andreas},
  title = {Probing Small-Scale Intermittency with a Fluctuation Theorem},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {110},
  pages = {214501},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.110.214501},
  doi = {https://doi.org/10.1103/PhysRevLett.110.214501}
}
Ciliberto, S., Imparato, A., Naert, A. and Tanase, M. Heat Flux and Entropy Produced by Thermal Fluctuations 2013 Phys. Rev. Lett.
Vol. 110, pp. 180601 
article DOI URL 
BibTeX:
@article{Ciliberto2013_vol110,
  author = {Ciliberto, S. and Imparato, A. and Naert, A. and Tanase, M.},
  title = {Heat Flux and Entropy Produced by Thermal Fluctuations},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {110},
  pages = {180601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.110.180601},
  doi = {https://doi.org/10.1103/PhysRevLett.110.180601}
}
Galley, C.R. Classical Mechanics of Nonconservative Systems 2013 Phys. Rev. Lett.
Vol. 110, pp. 174301 
article DOI URL 
BibTeX:
@article{Galley2013_vol110,
  author = {Galley, Chad R.},
  title = {Classical Mechanics of Nonconservative Systems},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {110},
  pages = {174301},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.110.174301},
  doi = {https://doi.org/10.1103/PhysRevLett.110.174301}
}
Allahverdyan, A.E. and Wang, Q.A. Adaptive machine and its thermodynamic costs 2013 Phys. Rev. E
Vol. 87, pp. 032139 
article DOI URL 
BibTeX:
@article{Allahverdyan2013_vol87,
  author = {Allahverdyan, Armen E. and Wang, Q. A.},
  title = {Adaptive machine and its thermodynamic costs},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {87},
  pages = {032139},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.87.032139},
  doi = {https://doi.org/10.1103/PhysRevE.87.032139}
}
Espigares, C.P., Garrido, P.L. and Hurtado, P.I. Dynamical phase transition for current statistics in a simple driven diffusive system 2013 Phys. Rev. E
Vol. 87, pp. 032115 
article DOI URL 
BibTeX:
@article{Espigares2013_vol87,
  author = {Espigares, Carlos P. and Garrido, Pedro L. and Hurtado, Pablo I.},
  title = {Dynamical phase transition for current statistics in a simple driven diffusive system},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {87},
  pages = {032115},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.87.032115},
  doi = {https://doi.org/10.1103/PhysRevE.87.032115}
}
Faizal, M. and Ahmed, M.R. Experimental studies on a closed cycle demonstration OTEC plant working on small temperature difference 2013 Renewable Energy
Vol. 51, pp. 234-240 
article DOI  
BibTeX:
@article{Faizal2013vol51,
  author = {Mohammed Faizal and M. Rafiuddin Ahmed},
  title = {Experimental studies on a closed cycle demonstration OTEC plant working on small temperature difference},
  journal = {Renewable Energy},
  publisher = {Elsevier BV},
  year = {2013},
  volume = {51},
  pages = {234--240},
  doi = {https://doi.org/10.1016/j.renene.2012.09.041}
}
Kim, G., Dominguez-Caballero, J.A., Lee, H., Friedman, D.J. and Menon, R. Increased Photovoltaic Power Output via Diffractive Spectrum Separation 2013 Physical Review Letters
Vol. 110(12), pp. 123901 
article DOI  
BibTeX:
@article{Kim2013vol110,
  author = {Ganghun Kim and Jose A. Dominguez-Caballero and Howard Lee and Daniel J. Friedman and Rajesh Menon},
  title = {Increased Photovoltaic Power Output via Diffractive Spectrum Separation},
  journal = {Physical Review Letters},
  publisher = {American Physical Society (APS)},
  year = {2013},
  volume = {110},
  number = {12},
  pages = {123901},
  doi = {https://doi.org/10.1103/physrevlett.110.123901}
}
Polettini, M. Diffusion in nonuniform temperature and its geometric analog 2013 Phys. Rev. E
Vol. 87, pp. 032126 
article DOI URL 
BibTeX:
@article{Polettini2013_vol87,
  author = {Polettini, M.},
  title = {Diffusion in nonuniform temperature and its geometric analog},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {87},
  pages = {032126},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.87.032126},
  doi = {https://doi.org/10.1103/PhysRevE.87.032126}
}
Saad, D. and Mozeika, A. Emergence of equilibriumlike domains within nonequilibrium Ising spin systems 2013 Phys. Rev. E
Vol. 87, pp. 032131 
article DOI URL 
BibTeX:
@article{Saad2013_vol87,
  author = {Saad, David and Mozeika, Alexander},
  title = {Emergence of equilibriumlike domains within nonequilibrium Ising spin systems},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {87},
  pages = {032131},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.87.032131},
  doi = {https://doi.org/10.1103/PhysRevE.87.032131}
}
Brandner, K., Saito, K. and Seifert, U. Strong Bounds on Onsager Coefficients and Efficiency for Three-Terminal Thermoelectric Transport in a Magnetic Field 2013 Phys. Rev. Lett.
Vol. 110, pp. 070603 
article DOI URL 
BibTeX:
@article{Brandner2013_vol110,
  author = {Brandner, Kay and Saito, Keiji and Seifert, Udo},
  title = {Strong Bounds on Onsager Coefficients and Efficiency for Three-Terminal Thermoelectric Transport in a Magnetic Field},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {110},
  pages = {070603},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.110.070603},
  doi = {https://doi.org/10.1103/PhysRevLett.110.070603}
}
Crisanti, A., Picco, M. and Ritort, F. Fluctuation Relation for Weakly Ergodic Aging Systems 2013 Phys. Rev. Lett.
Vol. 110, pp. 080601 
article DOI URL 
BibTeX:
@article{Crisanti2013_vol110,
  author = {Crisanti, A. and Picco, M. and Ritort, F.},
  title = {Fluctuation Relation for Weakly Ergodic Aging Systems},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {110},
  pages = {080601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.110.080601},
  doi = {https://doi.org/10.1103/PhysRevLett.110.080601}
}
Maes, C., Safaverdi, S., Visco, P. and van Wijland, F. Fluctuation-response relations for nonequilibrium diffusions with memory 2013 Phys. Rev. E
Vol. 87, pp. 022125 
article DOI URL 
BibTeX:
@article{Maes2013_vol87,
  author = {Maes, C. and Safaverdi, S. and Visco, P. and van Wijland, F.},
  title = {Fluctuation-response relations for nonequilibrium diffusions with memory},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {87},
  pages = {022125},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.87.022125},
  doi = {https://doi.org/10.1103/PhysRevE.87.022125}
}
Maes, C. and Thomas, S.R. From Langevin to generalized Langevin equations for the nonequilibrium Rouse model 2013 Phys. Rev. E
Vol. 87, pp. 022145 
article DOI URL 
BibTeX:
@article{Maes2013_vol87a,
  author = {Maes, C. and Thomas, S. R.},
  title = {From Langevin to generalized Langevin equations for the nonequilibrium Rouse model},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {87},
  pages = {022145},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.87.022145},
  doi = {https://doi.org/10.1103/PhysRevE.87.022145}
}
Nakagawa, N. and Sasa, S.-I. Work relations for time-dependent states 2013 Phys. Rev. E
Vol. 87, pp. 022109 
article DOI URL 
BibTeX:
@article{Nakagawa2013_vol87,
  author = {Nakagawa, N. and Sasa, S.-I.},
  title = {Work relations for time-dependent states},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {87},
  pages = {022109},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.87.022109},
  doi = {https://doi.org/10.1103/PhysRevE.87.022109}
}
Touchette, H. and Harris, R.J. Large Deviation Approach to Nonequilibrium Systems 2013 Nonequilibrium Statistical Physics of Small Systems, pp. 335-360  incollection DOI  
BibTeX:
@incollection{Touchette2013vol,
  author = {Hugo Touchette and Rosemary J. Harris},
  title = {Large Deviation Approach to Nonequilibrium Systems},
  booktitle = {Nonequilibrium Statistical Physics of Small Systems},
  publisher = {Wiley-VCH Verlag GmbH &amp; Co. KGaA},
  year = {2013},
  pages = {335--360},
  doi = {https://doi.org/10.1002/9783527658701.ch11}
}
Flindt, C. and Garrahan, J.P. Trajectory Phase Transitions, Lee-Yang Zeros, and High-Order Cumulants in Full Counting Statistics 2013 Phys. Rev. Lett.
Vol. 110, pp. 050601 
article DOI URL 
BibTeX:
@article{Flindt2013_vol110,
  author = {Flindt, Christian and Garrahan, Juan P.},
  title = {Trajectory Phase Transitions, Lee-Yang Zeros, and High-Order Cumulants in Full Counting Statistics},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {110},
  pages = {050601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.110.050601},
  doi = {https://doi.org/10.1103/PhysRevLett.110.050601}
}
King, S.F. and Luhn, C. Neutrino Mass and Mixing with Discrete Symmetry 2013 Rept. Prog. Phys. 76 (2013) 056201  article DOI  
Abstract: This is a review article about neutrino mass and mixing and flavour model building strategies based on discrete family symmetry. After a pedagogical introduction and overview of the whole of neutrino physics, we focus on the PMNS mixing matrix and the latest global fits following the Daya Bay and RENO experiments which measure the reactor angle. We then describe the simple bimaximal, tri-bimaximal and golden ratio patterns of lepton mixing and the deviations required for a non-zero reactor angle, with solar or atmospheric mixing sum rules resulting from charged lepton corrections or residual trimaximal mixing. The different types of see-saw mechanism are then reviewed as well as the sequential dominance mechanism. We then give a mini-review of finite group theory, which may be used as a discrete family symmetry broken by flavons either completely, or with different subgroups preserved in the neutrino and charged lepton sectors. These two approaches are then reviewed in detail in separate chapters including mechanisms for flavon vacuum alignment and different model building strategies that have been proposed to generate the reactor angle. We then briefly review grand unified theories (GUTs) and how they may be combined with discrete family symmetry to describe all quark and lepton masses and mixing. Finally we discuss three model examples which combine an SU(5) GUT with the discrete family symmetries A4, S4 and Delta(96).
BibTeX:
@article{King2013vol,
  author = {Stephen F. King and Christoph Luhn},
  title = {Neutrino Mass and Mixing with Discrete Symmetry},
  journal = {Rept. Prog. Phys. 76 (2013) 056201},
  year = {2013},
  doi = {https://doi.org/10.1088/0034-4885/76/5/056201}
}
Baez, J.C. and Fong, B. A Noether theorem for Markov processes 2013 J. Math. Phys.
Vol. 54(1), pp. - 
article DOI URL 
BibTeX:
@article{Baez2013_vol54,
  author = {Baez, John C. and Fong, Brendan},
  title = {A Noether theorem for Markov processes},
  journal = {J. Math. Phys.},
  year = {2013},
  volume = {54},
  number = {1},
  pages = {-},
  url = {http://scitation.aip.org/content/aip/journal/jmp/54/1/10.1063/1.4773921},
  doi = {https://doi.org/10.1063/1.4773921}
}
Baiesi, M. and Maes, C. An update on the nonequilibrium linear response 2013 New J. Phys.
Vol. 15(1), pp. 013004 
article URL 
Abstract: The unique fluctuation-dissipation theorem for equilibrium stands in contrast
with the wide variety of nonequilibrium linear response formulae. Their most
traditional approach is 'analytic', which, in the absence of detailed
balance, introduces the logarithm of the stationary probability density as
observable. The theory of dynamical systems offers an alternative with a
formula that continues to work even when the stationary distribution is not
smooth. We show that this method works equally well for stochastic dynamics,
and we illustrate it with a numerical example for the perturbation of
circadian cycles. A second 'probabilistic' approach starts from dynamical
ensembles and expands the probability weights on path space. This line
suggests new physical questions, as we meet the frenetic contribution to
linear response, and the relevance of the change in dynamical activity in the
relaxation to a (new) nonequilibrium condition.
BibTeX:
@article{Baiesi2013_vol15,
  author = {M Baiesi and C Maes},
  title = {An update on the nonequilibrium linear response},
  journal = {New J. Phys.},
  year = {2013},
  volume = {15},
  number = {1},
  pages = {013004},
  url = {http://stacks.iop.org/1367-2630/15/i=1/a=013004}
}
Belitsky, V. and Sch�tz, G. Microscopic Structure of Shocks and Antishocks in the ASEP Conditioned on Low Current 2013 J. Stat. Phys.
Vol. 152(1), pp. 93-111 
article DOI URL 
BibTeX:
@article{Belitsky2013_vol152,
  author = {Belitsky, V. and Sch�tz, G.M.},
  title = {Microscopic Structure of Shocks and Antishocks in the ASEP Conditioned on Low Current},
  journal = {J. Stat. Phys.},
  publisher = {Springer US},
  year = {2013},
  volume = {152},
  number = {1},
  pages = {93--111},
  url = {http://dx.doi.org/10.1007/s10955-013-0758-0},
  doi = {https://doi.org/10.1007/s10955-013-0758-0}
}
Belitsky, V. and Sch�tz, G.M. Antishocks in the ASEP with open boundaries conditioned on low current 2013 J. Phys. A: Math. Theor.
Vol. 46(29), pp. 295004 
article URL 
BibTeX:
@article{Belitsky2013_vol46,
  author = {V Belitsky and G M Sch�tz},
  title = {Antishocks in the ASEP with open boundaries conditioned on low current},
  journal = {J. Phys. A: Math. Theor.},
  year = {2013},
  volume = {46},
  number = {29},
  pages = {295004},
  url = {http://stacks.iop.org/1751-8121/46/i=29/a=295004}
}
Bénichou, O., Illien, P., Mejía-Monasterio, C. and Oshanin, G. A biased intruder in a dense quiescent medium: looking beyond the force?velocity relation 2013 J. Stat. Mech: Theory Exp.
Vol. 2013(05), pp. P05008 
article URL 
BibTeX:
@article{Benichou2013_vol2013,
  author = {Bénichou, O. and Illien, P. and Mejía-Monasterio, C. and Oshanin, G.},
  title = {A biased intruder in a dense quiescent medium: looking beyond the force?velocity relation},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2013},
  volume = {2013},
  number = {05},
  pages = {P05008},
  url = {http://stacks.iop.org/1742-5468/2013/i=05/a=P05008}
}
Bochkov, G.N. and Kuzovlev, Y.E. Fluctuation-dissipation relations. Achievements and misunderstandings 2013 Phys. Usp.
Vol. 56(6), pp. 590 
article URL 
Abstract: We discuss the 'generalized fluctuation?dissipation relations (theorems)'
introduced for the first time in our work of 1977?1984 as
statistical-thermodynamic consequences of time symmetry (reversibility) of
microscopic dynamics. We show, in particular, that various similar relations,
including 'fluctuation theorems' that have appeared since the 1990s, are, in
essence, alternative formulations or special cases of our old results.
BibTeX:
@article{Bochkov2013_vol56,
  author = {Bochkov, G. N. and Kuzovlev, Y. E.},
  title = {Fluctuation-dissipation relations. Achievements and misunderstandings},
  journal = {Phys. Usp.},
  year = {2013},
  volume = {56},
  number = {6},
  pages = {590},
  url = {http://stacks.iop.org/1063-7869/56/i=6/a=590}
}
Bouchaud, J.P. Crises and Collective Socio-Economic Phenomena: Simple Models and Challenges 2013 J. Stat. Phys.
Vol. 151(3-4), pp. 567-606 
article DOI URL 
BibTeX:
@article{Bouchaud2013_vol151,
  author = {Bouchaud, J. P.},
  title = {Crises and Collective Socio-Economic Phenomena: Simple Models and Challenges},
  journal = {J. Stat. Phys.},
  publisher = {Springer US},
  year = {2013},
  volume = {151},
  number = {3-4},
  pages = {567--606},
  url = {http://dx.doi.org/10.1007/s10955-012-0687-3},
  doi = {https://doi.org/10.1007/s10955-012-0687-3}
}
Brandner, K. and Seifert, U. Multi-terminal thermoelectric transport in a magnetic field: bounds on Onsager coefficients and efficiency 2013 New J. Phys.
Vol. 15(10), pp. 105003 
article URL 
Abstract: Thermoelectric transport involving an arbitrary number of terminals is
discussed in the presence of a magnetic field breaking time-reversal symmetry
within the linear response regime using the Landauer-Büttiker formalism.
We derive a universal bound on the Onsager coefficients that depends only on
the number of terminals. This bound implies bounds on the efficiency and on
efficiency at maximum power for heat engines and refrigerators. For
isothermal engines pumping particles and for absorption refrigerators these
bounds become independent even of the number of terminals. On a technical
level, these results follow from an original algebraic analysis of the
asymmetry index of doubly substochastic matrices and their Schur complements.
BibTeX:
@article{Brandner2013_vol15,
  author = {K. Brandner and U. Seifert},
  title = {Multi-terminal thermoelectric transport in a magnetic field: bounds on Onsager coefficients and efficiency},
  journal = {New J. Phys.},
  year = {2013},
  volume = {15},
  number = {10},
  pages = {105003},
  url = {http://stacks.iop.org/1367-2630/15/i=10/a=105003}
}
Cornu, F. and Bauer, M. Thermal Contact I : Symmetries ruled by Exchange Entropy Variations 2013 arXiv(1302.4538)  article  
BibTeX:
@article{Cornu2013_vola,
  author = {Cornu, F. and Bauer, M.},
  title = {Thermal Contact I : Symmetries ruled by Exchange Entropy Variations},
  journal = {arXiv},
  year = {2013},
  number = {1302.4538}
}
Cornu, F. and Bauer, M. Thermal contact through a diathermal wall: a solvable toy model 2013 J. Stat. Mech: Theory Exp.
Vol. 2013(10), pp. P10009 
article URL 
Abstract: A diathermal wall between two heat baths at different temperatures can be
mimicked by a layer of independent spin pairs with some internal energy and
where each spin is flipped by thermostat a ( a�=�1,2). The transition
rates are determined from the modified detailed balance. Generalized heat
capacities, excess heats, the housekeeping entropy flow and the thermal
conductivity in the steady state are calculated. The joint probability
distribution of the heat cumulated exchanges at any time is computed
explicitly. We obtain the large deviation function of heat transfer via a
variety of approaches. In particular, by a saddle-point method performed
accurately, we obtain the explicit expressions not only of the large
deviation function, but also of the amplitude prefactor, in the long-time
probability density for the heat current. The following physical properties
are discussed: the effects of typical time scales of the mesoscopic dynamics
which do not appear in equilibrium statistical averages and the limit of
strict energy dissipation towards a thermostat when its temperature goes to
zero.
BibTeX:
@article{Cornu2013_vol2013,
  author = {F Cornu and M Bauer},
  title = {Thermal contact through a diathermal wall: a solvable toy model},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2013},
  volume = {2013},
  number = {10},
  pages = {P10009},
  url = {http://stacks.iop.org/1742-5468/2013/i=10/a=P10009}
}
Cornu, F. and Bauer, M. Thermal Contact. II. A Solvable Toy Model 2013 arXiv(1302.4540)  article  
BibTeX:
@article{Cornu2013_vol,
  author = {Cornu, F. and Bauer, M.},
  title = {Thermal Contact. II. A Solvable Toy Model},
  journal = {arXiv},
  year = {2013},
  number = {1302.4540}
}
Diana, G., Bagci, G.B. and Esposito, M. Finite-time erasing of information stored in fermionic bits 2013 Phys. Rev. E
Vol. 87, pp. 012111 
article DOI URL 
BibTeX:
@article{Diana2013_vol87,
  author = {Diana, G. and Bagci, G. B. and Esposito, M.},
  title = {Finite-time erasing of information stored in fermionic bits},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {87},
  pages = {012111},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.87.012111},
  doi = {https://doi.org/10.1103/PhysRevE.87.012111}
}
Do Yi, S., Kim, B. and Yi, J. Nonequilbrium work by charge control in a Josephson junction 2013 arXiv  article URL 
BibTeX:
@article{DoYi2013_vol,
  author = {Do Yi, S. and Kim, B. J. and Yi, J.},
  title = {Nonequilbrium work by charge control in a Josephson junction},
  journal = {arXiv},
  year = {2013},
  url = {http://arxiv.org/abs/1302.1273}
}
Goldstein, L. Theoretical analysis of an airborne wind energy conversion system with a ground generator and fast motion transfer 2013 Energy
Vol. 55, pp. 987-995 
article DOI URL 
Abstract: Abstract A novel airborne wind energy conversion concept is presented, in
which the wind power, which is harvested by the crosswind motion of a
tethered wing, is transferred to a ground-based generator by a belt with a
high speed close to the speed of the wing. The belt trails behind the wing.
The high speed of the motion transferring belt results in a low belt tension,
a high rotational speed and a low torque on the shaft connected to the rotor.
The theoretical analysis and numeric calculations, which consider the drag of
the tether and the weight of both the tether and the wing, demonstrate the
practical feasibility of the concept. Two practical constructions are
described, one with a single wing and one with two wings in counter phase.
The economic analysis shows that the proposed system is 10 times less
expensive than a conventional wind turbine with a comparable average power
output.
BibTeX:
@article{Goldstein2013_vol55,
  author = {Leo Goldstein},
  title = {Theoretical analysis of an airborne wind energy conversion system with a ground generator and fast motion transfer},
  journal = {Energy},
  year = {2013},
  volume = {55},
  pages = {987--995},
  url = {http://www.sciencedirect.com/science/article/pii/S0360544213002843},
  doi = {https://doi.org/10.1016/j.energy.2013.03.087}
}
Goutsias, J. and Jenkinson, G. markovian dynamics on complex reaction networks 2013 Phys. Rep.
Vol. 529(2), pp. 199-264 
article DOI URL 
Abstract: Abstract Complex networks, comprised of individual elements that interact
with each other through reaction channels, are ubiquitous across many
scientific and engineering disciplines. Examples include biochemical,
pharmacokinetic, epidemiological, ecological, social, neural, and multi-agent
networks. A common approach to modeling such networks is by a master equation
that governs the dynamic evolution of the joint probability mass function of
the underlying population process and naturally leads to Markovian dynamics
for such process. Due however to the nonlinear nature of most reactions and
the large size of the underlying state-spaces, computation and analysis of
the resulting stochastic population dynamics is a difficult task. This review
article provides a coherent and comprehensive coverage of recently developed
approaches and methods to tackle this problem. After reviewing a general
framework for modeling Markovian reaction networks and giving specific
examples, the authors present numerical and computational techniques capable
of evaluating or approximating the solution of the master equation, discuss a
recently developed approach for studying the stationary behavior of Markovian
reaction networks using a potential energy landscape perspective, and provide
an introduction to the emerging theory of thermodynamic analysis of such
networks. Three representative problems of opinion formation, transcription
regulation, and neural network dynamics are used as illustrative examples.
BibTeX:
@article{Goutsias2013_vol529,
  author = {J. Goutsias and G. Jenkinson},
  title = {markovian dynamics on complex reaction networks},
  journal = {Phys. Rep.},
  year = {2013},
  volume = {529},
  number = {2},
  pages = {199--264},
  note = {Markovian Dynamics on Complex Reaction Networks},
  url = {http://www.sciencedirect.com/science/article/pii/S0370157313001014},
  doi = {https://doi.org/10.1016/j.physrep.2013.03.004}
}
Gradenigo, G., Sarracino, A., Puglisi, A. and Touchette, H. Fluctuation relations without uniform large deviations 2013 arXiv  article  
BibTeX:
@article{Gradenigo2013_vol,
  author = {Gradenigo, G. and Sarracino, A. and Puglisi, A. and Touchette, H.},
  title = {Fluctuation relations without uniform large deviations},
  journal = {arXiv},
  year = {2013}
}
Hoppenau, J. and Engel, A. On the work distribution in quasi-static processes 2013 J. Stat. Mech: Theory Exp.(06), pp. P06004  article URL 
Abstract: We derive a systematic, multiple time-scale perturbation expansion for the
work distribution in isothermal quasi-static Langevin processes. To first
order we find a Gaussian distribution reproducing the result of Speck and
Seifert (2004 Phys. Rev. E 70 066112). Scrutinizing the applicability of
perturbation theory we then show that, irrespective of time-scale separation,
the expansion breaks down when applied to untypical work values from the
tails of the distribution. We thus reconcile the result of Speck and Seifert
with apparently conflicting exact expressions for the asymptotics of work
distributions in special systems and with an intuitive argument building on
the central limit theorem.
BibTeX:
@article{Hoppenau2013_vol,
  author = {Johannes Hoppenau and Andreas Engel},
  title = {On the work distribution in quasi-static processes},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2013},
  number = {06},
  pages = {P06004},
  url = {http://stacks.iop.org/1742-5468/2013/i=06/a=P06004}
}
Koski, J.V., Sagawa, T., Saira, O.-P., Yoon, Y., Kutvonen, A., Solinas, P., Möttönen, M., Ala-Nissila, T. and Pekola, J.P. Distribution of entropy production in a single-electron box 2013 Nat. Phys.
Vol. 9, pp. 644-648 
article DOI  
BibTeX:
@article{Koski2013_vol9,
  author = {Koski, J. V. and Sagawa, T. and Saira, O-P. and Yoon, Y. and Kutvonen, A. and Solinas, P. and Möttönen, M. and Ala-Nissila, T. and Pekola, J. P.},
  title = {Distribution of entropy production in a single-electron box},
  journal = {Nat. Phys.},
  year = {2013},
  volume = {9},
  pages = {644--648},
  doi = {https://doi.org/10.1038/nphys2711}
}
Küng, B., Rössler, C., Beck, M., Marthaler, M., Golubev, D.S., Utsumi, Y., Ihn, T. and Ensslin, K. Test of the fluctuation theorem for single-electron transport 2013 J. Appl. Phys.
Vol. 113(13) 
article DOI URL 
BibTeX:
@article{Kung2013_vol113,
  author = {Küng, B. and Rössler, C. and Beck, M. and Marthaler, M. and Golubev, D. S. and Utsumi, Y. and Ihn, T. and Ensslin, K.},
  title = {Test of the fluctuation theorem for single-electron transport},
  journal = {J. Appl. Phys.},
  year = {2013},
  volume = {113},
  number = {13},
  url = {http://scitation.aip.org/content/aip/journal/jap/113/13/10.1063/1.4795540},
  doi = {https://doi.org/10.1063/1.4795540}
}
Kuwahara, Y., Nakamura, Y. and Yamanaka, Y. From classical mechanics with doubled degrees of freedom to quantum field theory for nonconservative systems 2013 Phys. Lett. A
Vol. 377(43), pp. 3102-3105 
article DOI URL 
Abstract: Abstract The 2 x 2 -matrix structure of Green's functions is a common feature
for the real-time formalisms of quantum field theory under thermal
situations, such as the closed time path formalism and Thermo Field Dynamics
(TFD). It has been believed to originate from quantum nature. Recently,
Galley has proposed the Hamilton's principle with initial data for
nonconservative classical systems, doubling each degree of freedom [1]. We
show that the Galley's Hamilton formalism can be extended to quantum field
and that the resulting theory is naturally identical with nonequilibrium TFD.
BibTeX:
@article{Kuwahara2013_vol377,
  author = {Y. Kuwahara and Y. Nakamura and Y. Yamanaka},
  title = {From classical mechanics with doubled degrees of freedom to quantum field theory for nonconservative systems},
  journal = {Phys. Lett. A},
  year = {2013},
  volume = {377},
  number = {43},
  pages = {3102--3105},
  url = {http://www.sciencedirect.com/science/article/pii/S0375960113009195},
  doi = {https://doi.org/10.1016/j.physleta.2013.10.001}
}
Mori, R. New Understanding of the Bethe Approximation and the Replica Method 2013 arXiv  phdthesis  
BibTeX:
@phdthesis{Mori2013_vol,
  author = {Mori, R.},
  title = {New Understanding of the Bethe Approximation and the Replica Method},
  journal = {arXiv},
  year = {2013}
}
Munakata, T. and Rosinberg, M. Feedback cooling, measurement errors, and entropy production 2013 arXiv  article  
BibTeX:
@article{Munakata2013_vol,
  author = {Munakata, T. and Rosinberg, M. L.},
  title = {Feedback cooling, measurement errors, and entropy production},
  journal = {arXiv},
  year = {2013}
}
Nakanishi, H., Sakaue, T. and Wakou, J. Hamilton-Jacobi method for molecular distribution function in a chemical oscillator 2013 arXiv  article URL 
BibTeX:
@article{Nakanishi2013_vol,
  author = {Nakanishi, H. and Sakaue, T. and Wakou, J.I.},
  title = {Hamilton-Jacobi method for molecular distribution function in a chemical oscillator},
  journal = {arXiv},
  year = {2013},
  url = {http://arxiv.org/abs/1309.2060}
}
Pal, A. and Sabhapandit, S. Work fluctuations for a Brownian particle in a harmonic trap with fluctuating locations 2013 Phys. Rev. E
Vol. 87, pp. 022138 
article DOI URL 
BibTeX:
@article{Pal2013_vol87,
  author = {Pal, A. and Sabhapandit, S.},
  title = {Work fluctuations for a Brownian particle in a harmonic trap with fluctuating locations},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {87},
  pages = {022138},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.87.022138},
  doi = {https://doi.org/10.1103/PhysRevE.87.022138}
}
Polettini, M. Fact-Checking Ziegler's Maximum Entropy Production Principle beyond the Linear Regime and towards Steady States 2013 Entropy
Vol. 15(7), pp. 2570-2584 
article DOI URL 
BibTeX:
@article{Polettini2013_vol15,
  author = {Polettini, M.},
  title = {Fact-Checking Ziegler's Maximum Entropy Production Principle beyond the Linear Regime and towards Steady States},
  journal = {Entropy},
  year = {2013},
  volume = {15},
  number = {7},
  pages = {2570--2584},
  url = {http://www.mdpi.com/1099-4300/15/7/2570},
  doi = {https://doi.org/10.3390/e15072570}
}
Rahav, S. and Jarzynski, C. Nonequilibrium fluctuation theorems from equilibrium fluctuations 2013 New J. Phys.
Vol. 15(12), pp. 125029 
article URL 
Abstract: A system can be driven to nonequilibrium behavior in the presence of
thermodynamic imbalances in its environment, such as temperature or chemical
potential differences. In derivations of far-from-equilibrium fluctuation
theorems, such imbalances are typically modeled as fixed, externally imposed
thermodynamic forces. Here, we argue that fluctuation theorems can instead be
understood in terms of the equilibrium dynamics of a larger supersystem,
containing both the system of interest and its thermal surroundings. To this
end, we consider rare fluctuations that spontaneously produce imbalances in
the surroundings. In the aftermath of such fluctuations, the system of
interest transiently behaves as though it were in the presence of an
externally applied thermodynamic force. By applying the principle of detailed
balance to these rare events, we recover the fluctuation theorem in both its
transient and steady-state formulations.
BibTeX:
@article{Rahav2013_vol15,
  author = {S. Rahav and C. Jarzynski},
  title = {Nonequilibrium fluctuation theorems from equilibrium fluctuations},
  journal = {New J. Phys.},
  year = {2013},
  volume = {15},
  number = {12},
  pages = {125029},
  url = {http://stacks.iop.org/1367-2630/15/i=12/a=125029}
}
Rashkovskiy, S.A. Eulerian and Newtonian dynamics of quantum particles 2013 Progress of Theoretical and Experimental Physics
Vol. 2013(6), pp. 063A02 
article DOI  
BibTeX:
@article{Rashkovskiy2013_vol2013,
  author = {Rashkovskiy, S. A.},
  title = {Eulerian and Newtonian dynamics of quantum particles},
  journal = {Progress of Theoretical and Experimental Physics},
  year = {2013},
  volume = {2013},
  number = {6},
  pages = {063A02},
  doi = {https://doi.org/10.1093/ptep/ptt036}
}
Rubido, N., Grebogi, C. and Baptista, M.S. Structure and function in flow networks 2013 Europhys. Lett.
Vol. 101(6), pp. 68001 
article URL 
Abstract: This letter presents a unified approach for the fundamental relationship
between structure and function in flow networks by solving analytically the
voltages in a resistor network, transforming the network structure to an
effective all-to-all topology, and then measuring the resultant flows.
Moreover, it defines a way to study the structural resilience of the graph
and to detect possible communities.
BibTeX:
@article{Rubido2013_vol101,
  author = {Nicol�s Rubido and Celso Grebogi and Murilo S. Baptista},
  title = {Structure and function in flow networks},
  journal = {Europhys. Lett.},
  year = {2013},
  volume = {101},
  number = {6},
  pages = {68001},
  url = {http://stacks.iop.org/0295-5075/101/i=6/a=68001}
}
Schwartz, M. Quantum Field Theory and the Standard Model 2013   book DOI  
BibTeX:
@book{Schwartz2013vol,
  author = {Matthew Schwartz},
  title = {Quantum Field Theory and the Standard Model},
  publisher = {Cambridge University Press, Cambridge, England},
  year = {2013},
  doi = {https://doi.org/10.1017/9781139540940}
}
Sughiyama, Y. and Ohzeki, M. Nonequilibrium work relation in a macroscopic system 2013 J. Stat. Mech: Theory Exp.(04), pp. P04012  article URL 
Abstract: We reconsider a well-known relationship between the fluctuation theorem and
the second law of thermodynamics by evaluating stochastic evolution of the
density field (probability measure valued process). In order to establish a
bridge between microscopic and macroscopic behaviors, we must take the
thermodynamic limit of a stochastic dynamical system following the standard
procedure in statistical mechanics. The thermodynamic path characterizing a
dynamical behavior in the macroscopic scale can be formulated as an infimum
of the action functional for the stochastic evolution of the density field.
In our formulation, the second law of thermodynamics can be derived only by
symmetry of the action functional without recourse to the Jarzynski equality.
Our formulation leads to a nontrivial nonequilibrium work relation for
metastable (quasi-stationary) states, which are peculiar in the macroscopic
system. We propose a prescription for computing the free energy for
metastable states based on the resultant work relation.
BibTeX:
@article{Sughiyama2013_vol2013,
  author = {Yuki Sughiyama and Masayuki Ohzeki},
  title = {Nonequilibrium work relation in a macroscopic system},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2013},
  number = {04},
  pages = {P04012},
  url = {http://stacks.iop.org/1742-5468/2013/i=04/a=P04012}
}
Talbot, J. and Viot, P. Work fluctuation theorem for a granular motor 2013 Eur. Phys. J. Special Topics
Vol. 216(1), pp. 213-218 
article DOI URL 
BibTeX:
@article{Talbot2013_vol216,
  author = {Talbot, J. and Viot, P.},
  title = {Work fluctuation theorem for a granular motor},
  journal = {Eur. Phys. J. Special Topics},
  publisher = {Springer-Verlag},
  year = {2013},
  volume = {216},
  number = {1},
  pages = {213--218},
  url = {http://dx.doi.org/10.1140/epjst/e2013-01745-y},
  doi = {https://doi.org/10.1140/epjst/e2013-01745-y}
}
Thomson, M. Modern Particle Physics 2013   book  
BibTeX:
@book{Thomson2013,
  author = {Mark Thomson},
  title = {Modern Particle Physics},
  publisher = {Cambridge University Press},
  year = {2013}
}
Van den Broeck, C. Stochastic thermodynamics: a brief introduction 2013 Proceedings of the International School of Physics "Enrico Fermi", Course CLXXXIV Physics of Complex Colloids, C. Bechinger, F. Sciortino and P. Ziherl eds., Italian Physical Society  article DOI URL 
BibTeX:
@article{Broeck2013_vol,
  author = {Van den Broeck, C.},
  title = {Stochastic thermodynamics: a brief introduction},
  journal = {Proceedings of the International School of Physics "Enrico Fermi", Course CLXXXIV Physics of Complex Colloids, C. Bechinger, F. Sciortino and P. Ziherl eds., Italian Physical Society},
  year = {2013},
  url = {http://doi.org/10.3254/978-1-61499-278-3-155},
  doi = {https://doi.org/10.3254/978-1-61499-278-3-155}
}
Varilly, P. and Chandler, D. Water Evaporation: A Transition Path Sampling Study 2013 J. Phys. Chem. B
Vol. 117(5), pp. 1419-1428 
article DOI URL 
Abstract: We use transition path sampling to study evaporation in the SPC/E model of
liquid water. On the basis of thousands of evaporation trajectories, we
characterize the members of the transition state ensemble (TSE), which
exhibit a liquid?vapor interface with predominantly negative mean curvature
at the site of evaporation. We also find that after evaporation is complete,
the distributions of translational and angular momenta of the evaporated
water are Maxwellian with a temperature equal to that of the liquid. To
characterize the evaporation trajectories in their entirety, we find that it
suffices to project them onto just two coordinates: the distance of the
evaporating molecule to the instantaneous liquid?vapor interface and the
velocity of the water along the average interface normal. In this projected
space, we find that the TSE is well-captured by a simple model of ballistic
escape from a deep potential well, with no additional barrier to evaporation
beyond the cohesive strength of the liquid. Equivalently, they are consistent
with a near-unity probability for a water molecule impinging upon a liquid
droplet to condense. These results agree with previous simulations and with
some, but not all, recent experiments.
BibTeX:
@article{Varilly2013_vol117,
  author = {Varilly, Patrick and Chandler, David},
  title = {Water Evaporation: A Transition Path Sampling Study},
  journal = {J. Phys. Chem. B},
  year = {2013},
  volume = {117},
  number = {5},
  pages = {1419--1428},
  url = {http://pubs.acs.org/doi/abs/10.1021/jp310070y},
  doi = {https://doi.org/10.1021/jp310070y}
}
Verley, G., Van den Broeck, C. and Esposito, M. Modulated two-level system: Exact work statistics 2013 Phys. Rev. E
Vol. 88, pp. 032137 
article DOI URL 
Abstract: We consider an open two-level system driven by a piecewise constant periodic
field and described by a rate equation with Fermi, Bose, and Arrhenius rates,
respectively. We derive an analytical expression for the generating function
and large deviation function of the work performed by the field and show that
a work fluctuation theorem holds.
BibTeX:
@article{Verley2013_vol88,
  author = {Verley, G. and Van den Broeck, C. and Esposito, M.},
  title = {Modulated two-level system: Exact work statistics},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2013},
  volume = {88},
  pages = {032137},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2013_vol88.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2013_vol88.pdf},
  doi = {https://doi.org/10.1103/PhysRevE.88.032137}
}
Barato, A., Hartich, D. and Seifert, U. Information-theoretic vs. thermodynamic entropy production in autonomous sensory networks 2012 arXiv  article  
BibTeX:
@article{Barato2012_vol,
  author = {Barato, A. C. and Hartich, D and Seifert, U.},
  title = {Information-theoretic vs. thermodynamic entropy production in autonomous sensory networks},
  journal = {arXiv},
  year = {2012}
}
Celani, A., Bo, S., Eichhorn, R. and Aurell, E. Anomalous Thermodynamics at the Microscale 2012 Phys. Rev. Lett.
Vol. 109, pp. 260603 
article DOI URL 
BibTeX:
@article{Celani2012_vol109,
  author = {Celani, Antonio and Bo, Stefano and Eichhorn, Ralf and Aurell, Erik},
  title = {Anomalous Thermodynamics at the Microscale},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {109},
  pages = {260603},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.109.260603},
  doi = {https://doi.org/10.1103/PhysRevLett.109.260603}
}
Jun, Y. and Bechhoefer, J. Virtual potentials for feedback traps 2012 Phys. Rev. E
Vol. 86, pp. 061106 
article DOI URL 
BibTeX:
@article{Jun2012_vol86,
  author = {Jun, Yonggun and Bechhoefer, John},
  title = {Virtual potentials for feedback traps},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {86},
  pages = {061106},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.86.061106},
  doi = {https://doi.org/10.1103/PhysRevE.86.061106}
}
Vogl, M., Schaller, G. and Brandes, T. Criticality in Transport through the Quantum Ising Chain 2012 Phys. Rev. Lett.
Vol. 109, pp. 240402 
article DOI URL 
BibTeX:
@article{Vogl2012_vol109,
  author = {Vogl, Malte and Schaller, Gernot and Brandes, Tobias},
  title = {Criticality in Transport through the Quantum Ising Chain},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {109},
  pages = {240402},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.109.240402},
  doi = {https://doi.org/10.1103/PhysRevLett.109.240402}
}
Golubeva, N. and Imparato, A. Efficiency at Maximum Power of Interacting Molecular Machines 2012 Phys. Rev. Lett.
Vol. 109, pp. 190602 
article DOI URL 
BibTeX:
@article{Golubeva2012_vol109,
  author = {Golubeva, N. and Imparato, A.},
  title = {Efficiency at Maximum Power of Interacting Molecular Machines},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {109},
  pages = {190602},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.109.190602},
  doi = {https://doi.org/10.1103/PhysRevLett.109.190602}
}
Polettini, M. Constrained Brownian motion as thermodiffusion 2012 arXiv  article  
BibTeX:
@article{Polettini2012_vola,
  author = {Polettini, M.},
  title = {Constrained Brownian motion as thermodiffusion},
  journal = {arXiv},
  year = {2012}
}
Sagawa, T. and Ueda, M. Fluctuation Theorem with Information Exchange: Role of Correlations in Stochastic Thermodynamics 2012 Phys. Rev. Lett.
Vol. 109(18), pp. 180602 
article DOI  
BibTeX:
@article{Sagawa2012vol109,
  author = {Takahiro Sagawa and Masahito Ueda},
  title = {Fluctuation Theorem with Information Exchange: Role of Correlations in Stochastic Thermodynamics},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society (APS)},
  year = {2012},
  volume = {109},
  number = {18},
  pages = {180602},
  doi = {https://doi.org/10.1103/physrevlett.109.180602}
}
Speck, T., Malins, A. and Royall, C.P. First-Order Phase Transition in a Model Glass Former: Coupling of Local Structure and Dynamics 2012 Phys. Rev. Lett.
Vol. 109, pp. 195703 
article DOI URL 
Abstract: Recently, numerical evidence for a dynamical first-order phase transition in
trajectory space [L. O. Hedges et al., Science 323, 1309 (2009)] has been
found. In a model glass former in which clusters of 11 particles form upon
cooling, we find that the transition has both dynamical and structural
character. It occurs between an active phase with a high fraction of mobile
and low fraction of cluster particles, and an inactive phase with few mobile
but many cluster particles. The transition can be driven both dynamically and
structurally with a chemical potential, showing that local order forms a
mechanism for dynamical arrest.
BibTeX:
@article{Speck2012_vol109,
  author = {Speck, Thomas and Malins, Alex and Royall, C. Patrick},
  title = {First-Order Phase Transition in a Model Glass Former: Coupling of Local Structure and Dynamics},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {109},
  pages = {195703},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.109.195703},
  doi = {https://doi.org/10.1103/PhysRevLett.109.195703}
}
Dorner, R., Goold, J., Cormick, C., Paternostro, M. and Vedral, V. Emergent Thermodynamics in a Quenched Quantum Many-Body System 2012 Phys. Rev. Lett.
Vol. 109, pp. 160601 
article DOI URL 
BibTeX:
@article{Dorner2012_vol109,
  author = {Dorner, R. and Goold, J. and Cormick, C. and Paternostro, M. and Vedral, V.},
  title = {Emergent Thermodynamics in a Quenched Quantum Many-Body System},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {109},
  pages = {160601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.109.160601},
  doi = {https://doi.org/10.1103/PhysRevLett.109.160601}
}
Gorissen, M., Lazarescu, A., Mallick, K. and Vanderzande, C. Exact Current Statistics of the Asymmetric Simple Exclusion Process with Open Boundaries 2012 Phys. Rev. Lett.
Vol. 109, pp. 170601 
article DOI URL 
BibTeX:
@article{Gorissen2012_vol109,
  author = {Gorissen, Mieke and Lazarescu, Alexandre and Mallick, Kirone and Vanderzande, Carlo},
  title = {Exact Current Statistics of the Asymmetric Simple Exclusion Process with Open Boundaries},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {109},
  pages = {170601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.109.170601},
  doi = {https://doi.org/10.1103/PhysRevLett.109.170601}
}
Lee, J. and Pressé, S. Microcanonical origin of the maximum entropy principle for open systems 2012 Phys. Rev. E
Vol. 86, pp. 041126 
article DOI URL 
BibTeX:
@article{Lee2012_vol86,
  author = {Lee, J. and Pressé, S.},
  title = {Microcanonical origin of the maximum entropy principle for open systems},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {86},
  pages = {041126},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.86.041126},
  doi = {https://doi.org/10.1103/PhysRevE.86.041126}
}
Saira, O.-P., Yoon, Y., Tanttu, T., Möttönen, M., Averin, D.V. and Pekola, J.P. Test of the Jarzynski and Crooks Fluctuation Relations in an Electronic System 2012 Phys. Rev. Lett.
Vol. 109, pp. 180601 
article DOI URL 
BibTeX:
@article{Saira2012_vol109,
  author = {Saira, O.-P. and Yoon, Y. and Tanttu, T. and Möttönen, M. and Averin, D. V. and Pekola, J. P.},
  title = {Test of the Jarzynski and Crooks Fluctuation Relations in an Electronic System},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {109},
  pages = {180601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.109.180601},
  doi = {https://doi.org/10.1103/PhysRevLett.109.180601}
}
Zimmermann, E. and Seifert, U. Efficiencies of a molecular motor: a generic hybrid model applied to the F1-ATPase 2012 New Journal of Physics
Vol. 14(10), pp. 103023 
article DOI  
BibTeX:
@article{Zimmermann2012vol14,
  author = {Zimmermann, Eva and Seifert, Udo},
  title = {Efficiencies of a molecular motor: a generic hybrid model applied to the F1-ATPase},
  journal = {New Journal of Physics},
  publisher = {IOP Publishing},
  year = {2012},
  volume = {14},
  number = {10},
  pages = {103023},
  doi = {https://doi.org/10.1088/1367-2630/14/10/103023}
}
Ge, H. and Qian, H. Analytical Mechanics in Stochastic Dynamics: Most Probable Path, Large-Deviation Rate Function and Hamilton-Jacobi Equation 2012 Int. J. Mod. Phys. B
Vol. 26, pp. 1230012 
article DOI  
BibTeX:
@article{Ge2012_vol26,
  author = {Ge, H. and Qian, H.},
  title = {Analytical Mechanics in Stochastic Dynamics: Most Probable Path, Large-Deviation Rate Function and Hamilton-Jacobi Equation},
  journal = {Int. J. Mod. Phys. B},
  year = {2012},
  volume = {26},
  pages = {1230012},
  doi = {https://doi.org/10.1142/S0217979212300125}
}
Goddard, B.D., Nold, A., Savva, N., Pavliotis, G.A. and Kalliadasis, S. General Dynamical Density Functional Theory for Classical Fluids 2012 Phys. Rev. Lett.
Vol. 109, pp. 120603 
article DOI URL 
BibTeX:
@article{Goddard2012_vol109,
  author = {Goddard, Benjamin D. and Nold, Andreas and Savva, Nikos and Pavliotis, Grigorios A. and Kalliadasis, Serafim},
  title = {General Dynamical Density Functional Theory for Classical Fluids},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {109},
  pages = {120603},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.109.120603},
  doi = {https://doi.org/10.1103/PhysRevLett.109.120603}
}
Nickelsen, D. and Engel, A. Asymptotic work distributions in driven bistable systems 2012 arXiv  article URL 
BibTeX:
@article{Nickelsen2012_vol,
  author = {Nickelsen, D. and Engel, A.},
  title = {Asymptotic work distributions in driven bistable systems},
  journal = {arXiv},
  year = {2012},
  url = {http://arxiv.org/abs/1209.3961}
}
Ohzeki, M. Fluctuation Theorems on Nishimori Line 2012 arXiv  article  
BibTeX:
@article{Ohzeki2012_vol,
  author = {Ohzeki, M.},
  title = {Fluctuation Theorems on Nishimori Line},
  journal = {arXiv},
  year = {2012}
}
Still, S., Sivak, D.A., Bell, A.J. and Crooks, G.E. Thermodynamics of Prediction 2012 Phys. Rev. Lett.
Vol. 109, pp. 120604 
article DOI URL 
BibTeX:
@article{Still2012_vol109,
  author = {Still, Susanne and Sivak, David A. and Bell, Anthony J. and Crooks, Gavin E.},
  title = {Thermodynamics of Prediction},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {109},
  pages = {120604},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.109.120604},
  doi = {https://doi.org/10.1103/PhysRevLett.109.120604}
}
Turci, F., Pitard, E. and Sellitto, M. Driving kinetically constrained models into nonequilibrium steady states: Structural and slow transport properties 2012 Phys. Rev. E
Vol. 86, pp. 031112 
article DOI URL 
BibTeX:
@article{Turci2012_vol86,
  author = {Turci, F. and Pitard, E. and Sellitto, M.},
  title = {Driving kinetically constrained models into nonequilibrium steady states: Structural and slow transport properties},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {86},
  pages = {031112},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.86.031112},
  doi = {https://doi.org/10.1103/PhysRevE.86.031112}
}
Alfinito, E. and Reggiani, L. Generalized Gumbel distribution of current fluctuations in purple membrane monolayers 2012 arXiv  article  
BibTeX:
@article{Alfinito2012_vol,
  author = {Alfinito, E. and Reggiani, L.},
  title = {Generalized Gumbel distribution of current fluctuations in purple membrane monolayers},
  journal = {arXiv},
  year = {2012}
}
Andrieux, D. Equivalence classes for large deviations 2012 arXiv  article URL 
BibTeX:
@article{Andrieux2012_vola,
  author = {Andrieux, David},
  title = {Equivalence classes for large deviations},
  journal = {arXiv},
  year = {2012},
  url = {http://arxiv.org/abs/1208.5699}
}
Kundu, A. Nonequilibrium fluctuation theorem for systems under discrete and continuous feedback control 2012 Phys. Rev. E
Vol. {86}({2, Part 1}) 
article DOI  
Abstract: In the time reverse process of a feedback manipulated stochastic system, we
allow performing measurements without violating causality. As a result we
come across an entropy production due to the measurement process. This
entropy production, in addition to the usual system and medium entropy
production, constitutes the total entropy production of the combined system
of the reservoir, the system, and the feedback controller. We show that this
total entropy production of ``full'' system satisfies an integrated
fluctuation theorem as well as a detailed fluctuation theorem as expected. We
illustrate and verify this idea through explicit calculation and direct
simulation in two examples.
BibTeX:
@article{Kundu2012_vol86,
  author = {Kundu, A.},
  title = {Nonequilibrium fluctuation theorem for systems under discrete and continuous feedback control},
  journal = {Phys. Rev. E},
  publisher = {AMER PHYSICAL SOC},
  year = {2012},
  volume = {86},
  number = {2, Part 1},
  doi = {https://doi.org/10.1103/PhysRevE.86.021107}
}
Celani, A. and Vergassola, M. Nonlinearity, Fluctuations, and Response in Sensory Systems 2012 Phys. Rev. Lett.
Vol. 108, pp. 258102 
article DOI URL 
BibTeX:
@article{Celani2012_vol108,
  author = {Celani, Antonio and Vergassola, Massimo},
  title = {Nonlinearity, Fluctuations, and Response in Sensory Systems},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {108},
  pages = {258102},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.108.258102},
  doi = {https://doi.org/10.1103/PhysRevLett.108.258102}
}
Ginoux, J.-M. and Letellier, C. Van der Pol and the history of relaxation oscillations: Toward the emergence of a concept 2012 Chaos: An Interdisciplinary Journal of Nonlinear Science
Vol. 22(2), pp. 023120 
article DOI  
BibTeX:
@article{Ginoux2012vol22,
  author = {Jean-Marc Ginoux and Christophe Letellier},
  title = {Van der Pol and the history of relaxation oscillations: Toward the emergence of a concept},
  journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
  publisher = {AIP Publishing},
  year = {2012},
  volume = {22},
  number = {2},
  pages = {023120},
  doi = {https://doi.org/10.1063/1.3670008}
}
Nemoto, T. Zon-Cohen singularity and negative inverse temperature in a trapped-particle limit 2012 Phys. Rev. E
Vol. 85, pp. 061124 
article DOI URL 
BibTeX:
@article{Nemoto2012_vol85,
  author = {Nemoto, Takahiro},
  title = {Zon-Cohen singularity and negative inverse temperature in a trapped-particle limit},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {85},
  pages = {061124},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.85.061124},
  doi = {https://doi.org/10.1103/PhysRevE.85.061124}
}
Noh, J.D. and Park, J.-M. Fluctuation Relation for Heat 2012 Phys. Rev. Lett.
Vol. 108, pp. 240603 
article DOI URL 
BibTeX:
@article{Noh2012_vol108,
  author = {Noh, Jae Dong and Park, Jong-Min},
  title = {Fluctuation Relation for Heat},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {108},
  pages = {240603},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.108.240603},
  doi = {https://doi.org/10.1103/PhysRevLett.108.240603}
}
Polettini, M. Generally covariant state-dependent diffusion 2012 arXiv  article  
BibTeX:
@article{Polettini2012_vol,
  author = {Polettini, M.},
  title = {Generally covariant state-dependent diffusion},
  journal = {arXiv},
  year = {2012}
}
Garc\ia-Garc\ia, R. Non-adiabatic entropy production for non-Markov dynamics 2012 arXiv  article  
BibTeX:
@article{Garc'ia-Garc'ia2012_vol,
  author = {Garc\ia-Garc\ia, R.},
  title = {Non-adiabatic entropy production for non-Markov dynamics},
  journal = {arXiv},
  year = {2012}
}
Krzakala, F., Mézard, M., Sausset, F., Sun, Y.F. and Zdeborová, L. Statistical-Physics-Based Reconstruction in Compressed Sensing 2012 Phys. Rev. X
Vol. 2, pp. 021005 
article DOI URL 
BibTeX:
@article{Krzakala2012_vol2,
  author = {Krzakala, F. and Mézard, M. and Sausset, F. and Sun, Y. F. and Zdeborová, L.},
  title = {Statistical-Physics-Based Reconstruction in Compressed Sensing},
  journal = {Phys. Rev. X},
  publisher = {American Physical Society},
  year = {2012},
  volume = {2},
  pages = {021005},
  url = {http://link.aps.org/doi/10.1103/PhysRevX.2.021005},
  doi = {https://doi.org/10.1103/PhysRevX.2.021005}
}
Sonnenschein, B. and Schimansky-Geier, L. Onset of synchronization in complex networks of noisy oscillators 2012 Phys. Rev. E
Vol. 85, pp. 051116 
article DOI URL 
BibTeX:
@article{Sonnenschein2012_vol85,
  author = {Sonnenschein, Bernard and Schimansky-Geier, Lutz},
  title = {Onset of synchronization in complex networks of noisy oscillators},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {85},
  pages = {051116},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.85.051116},
  doi = {https://doi.org/10.1103/PhysRevE.85.051116}
}
Apertet, Y., Ouerdane, H., Goupil, C. and Lecoeur, P. Efficiency at maximum power of thermally coupled heat engines 2012 Phys. Rev. E
Vol. 85, pp. 041144 
article DOI URL 
BibTeX:
@article{Apertet2012vol85,
  author = {Yann Apertet and Henni Ouerdane and Christophe Goupil and Philippe Lecoeur},
  title = {Efficiency at maximum power of thermally coupled heat engines},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {85},
  pages = {041144},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.85.041144},
  doi = {https://doi.org/10.1103/PhysRevE.85.041144}
}
van Beijeren, H. Exact Results for Anomalous Transport in One-Dimensional Hamiltonian Systems 2012 Phys. Rev. Lett.
Vol. 108, pp. 180601 
article DOI URL 
BibTeX:
@article{Beijeren2012_vol108,
  author = {van Beijeren, Henk},
  title = {Exact Results for Anomalous Transport in One-Dimensional Hamiltonian Systems},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {108},
  pages = {180601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.108.180601},
  doi = {https://doi.org/10.1103/PhysRevLett.108.180601}
}
Bradde, S. and Biroli, G. The Generalized Arrhenius Law in Out of Equilibrium Systems 2012 arXiv  article  
BibTeX:
@article{Bradde2012_vol,
  author = {Bradde, S. and Biroli, G.},
  title = {The Generalized Arrhenius Law in Out of Equilibrium Systems},
  journal = {arXiv},
  year = {2012}
}
Sasa, S.-i. Physics of Large Deviation 2012 arXiv  article  
BibTeX:
@article{Sasa2012_vol,
  author = {Sasa, S.-i.},
  title = {Physics of Large Deviation},
  journal = {arXiv},
  year = {2012}
}
Spinney, R.E. and Ford, I.J. Nonequilibrium Thermodynamics of Stochastic Systems with Odd and Even Variables 2012 Phys. Rev. Lett.
Vol. 108, pp. 170603 
article DOI URL 
BibTeX:
@article{Spinney2012_vol108,
  author = {Spinney, Richard E. and Ford, Ian J.},
  title = {Nonequilibrium Thermodynamics of Stochastic Systems with Odd and Even Variables},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {108},
  pages = {170603},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.108.170603},
  doi = {https://doi.org/10.1103/PhysRevLett.108.170603}
}
Apertet, Y., Ouerdane, H., Goupil, C. and Lecoeur, P. Irreversibilities and efficiency at maximum power of heat engines: The illustrative case of a thermoelectric generator 2012 Phys. Rev. E
Vol. 85, pp. 031116 
article DOI URL 
BibTeX:
@article{Apertet2012_vol85,
  author = {Yann Apertet and Henni Ouerdane and Christophe Goupil and Philippe Lecoeur},
  title = {Irreversibilities and efficiency at maximum power of heat engines: The illustrative case of a thermoelectric generator},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {85},
  pages = {031116},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.85.031116},
  doi = {https://doi.org/10.1103/PhysRevE.85.031116}
}
Bohec, P., Gallet, F., Maes, C., Safaverdi, S., Visco, P. and Van Wijland, F. Probing active forces via a fluctuation-dissipation relation 2012 arXiv  article  
BibTeX:
@article{Bohec2012_vol,
  author = {Bohec, P. and Gallet, F. and Maes, C. and Safaverdi, S. and Visco, P. and Van Wijland, F.},
  title = {Probing active forces via a fluctuation-dissipation relation},
  journal = {arXiv},
  year = {2012}
}
Cleuren, B., Rutten, B. and Van den Broeck, C. Cooling by Heating: Refrigeration Powered by Photons 2012 Phys. Rev. Lett.
Vol. 108, pp. 120603 
article DOI URL 
BibTeX:
@article{Cleuren2012_vol108,
  author = {Cleuren, B. and Rutten, B. and Van den Broeck, C.},
  title = {Cooling by Heating: Refrigeration Powered by Photons},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {108},
  pages = {120603},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.108.120603},
  doi = {https://doi.org/10.1103/PhysRevLett.108.120603}
}
Esposito, M., Kumar, N., Lindenberg, K. and Van den Broeck, C. Stochastically driven single-level quantum dot: A nanoscale finite-time thermodynamic machine and its various operational modes 2012 Phys. Rev. E
Vol. 85, pp. 031117 
article DOI URL 
BibTeX:
@article{Esposito2012_vol85a,
  author = {Esposito, M. and Kumar, N. and Lindenberg, K. and Van den Broeck, C.},
  title = {Stochastically driven single-level quantum dot: A nanoscale finite-time thermodynamic machine and its various operational modes},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {85},
  pages = {031117},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.85.031117},
  doi = {https://doi.org/10.1103/PhysRevE.85.031117}
}
Gradenigo, G., Puglisi, A., Sarracino, A., Villamaina, D. and Vulpiani, A. Out-of-equilibrium generalized fluctuation-dissipation relations 2012 arXiv  article  
BibTeX:
@article{Gradenigo2012_vol,
  author = {Gradenigo, G. and Puglisi, A. and Sarracino, A. and Villamaina, D. and Vulpiani, A.},
  title = {Out-of-equilibrium generalized fluctuation-dissipation relations},
  journal = {arXiv},
  year = {2012}
}
Horowitz, J.M. Quantum-trajectory approach to the stochastic thermodynamics of a forced harmonic oscillator 2012 Phys. Rev. E
Vol. 85, pp. 031110 
article DOI URL 
BibTeX:
@article{Horowitz2012_vol85,
  author = {Horowitz, Jordan M.},
  title = {Quantum-trajectory approach to the stochastic thermodynamics of a forced harmonic oscillator},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {85},
  pages = {031110},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.85.031110},
  doi = {https://doi.org/10.1103/PhysRevE.85.031110}
}
Mari, A. and Eisert, J. Cooling by Heating: Very Hot Thermal Light Can Significantly Cool Quantum Systems 2012 Phys. Rev. Lett.
Vol. 108, pp. 120602 
article DOI URL 
BibTeX:
@article{Mari2012_vol108,
  author = {Mari, A. and Eisert, J.},
  title = {Cooling by Heating: Very Hot Thermal Light Can Significantly Cool Quantum Systems},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {108},
  pages = {120602},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.108.120602},
  doi = {https://doi.org/10.1103/PhysRevLett.108.120602}
}
Pérez-Espigares, C., Kolton, A.B. and Kurchan, J. Infinite family of second-law-like inequalities 2012 Phys. Rev. E
Vol. 85, pp. 031135 
article DOI URL 
BibTeX:
@article{Perez-Espigares2012_vol85,
  author = {Pérez-Espigares, C. and Kolton, A. B. and Kurchan, J.},
  title = {Infinite family of second-law-like inequalities},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {85},
  pages = {031135},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.85.031135},
  doi = {https://doi.org/10.1103/PhysRevE.85.031135}
}
Roldán, É. and Parrondo, J.M.R. Entropy production and Kullback-Leibler divergence between stationary trajectories of discrete systems 2012 Phys. Rev. E
Vol. 85, pp. 031129 
article DOI URL 
BibTeX:
@article{Roldan2012_vol85,
  author = {Roldán, É. and Parrondo, J. M. R.},
  title = {Entropy production and Kullback-Leibler divergence between stationary trajectories of discrete systems},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {85},
  pages = {031129},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.85.031129},
  doi = {https://doi.org/10.1103/PhysRevE.85.031129}
}
Jiang, J.-H., Entin-Wohlman, O. and Imry, Y. Thermoelectric three-terminal hopping transport through one-dimensional nanosystems 2012 Phys. Rev. B
Vol. 85, pp. 075412 
article DOI URL 
BibTeX:
@article{Jiang2012_vol85,
  author = {Jiang, J.-H. and Entin-Wohlman, O. and Imry, Y.},
  title = {Thermoelectric three-terminal hopping transport through one-dimensional nanosystems},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2012},
  volume = {85},
  pages = {075412},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.85.075412},
  doi = {https://doi.org/10.1103/PhysRevB.85.075412}
}
Abreu, D. and Seifert, U. Thermodynamics of Genuine Nonequilibrium States under Feedback Control 2012 Phys. Rev. Lett.
Vol. 108, pp. 030601 
article DOI URL 
BibTeX:
@article{Abreu2012vol108,
  author = {Abreu, D. and Seifert, U.},
  title = {Thermodynamics of Genuine Nonequilibrium States under Feedback Control},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {108},
  pages = {030601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.108.030601},
  doi = {https://doi.org/10.1103/PhysRevLett.108.030601}
}
Apertet, Y., Ouerdane, H., Glavatskaya, O., Goupil, C. and Lecoeur, P. Optimal working conditions for thermoelectric generators with realistic thermal coupling 2012 Europhysics Letters
Vol. 97(2), pp. 28001 
article DOI URL 
Abstract: We study how maximum output power can be obtained from a thermoelectric generator (TEG) with non-ideal heat exchangers. We demonstrate with an analytic approach based on a force-flux formalism that the sole improvement of the intrinsic characteristics of thermoelectric modules including the enhancement of the figure of merit is of limited interest: the constraints imposed by the working conditions of the TEG must be considered on the same footing. Introducing an effective thermal conductance we derive the conditions which permit maximization of both efficiency and power production of the TEG dissipatively coupled to heat reservoirs. Thermal impedance matching must be accounted for as well as electrical impedance matching in order to maximize the output power. Our calculations also show that the thermal impedance does not only depend on the thermal conductivity at zero electrical current: it also depends on the TEG figure of merit. Our analysis thus yields both electrical and thermal conditions permitting optimal use of a thermoelectric generator.
BibTeX:
@article{Apertet2012vol97,
  author = {Yann Apertet and Henni Ouerdane and Olga Glavatskaya and Christophe Goupil and Philippe Lecoeur},
  title = {Optimal working conditions for thermoelectric generators with realistic thermal coupling},
  journal = {Europhysics Letters},
  year = {2012},
  volume = {97},
  number = {2},
  pages = {28001},
  url = {https://dx.doi.org/10.1209/0295-5075/97/28001},
  doi = {https://doi.org/10.1209/0295-5075/97/28001}
}
Apertet, Y., Ouerdane, H., Goupil, C. and Lecoeur, P. Thermoelectric internal current loops inside inhomogeneous systems 2012 Physical Review B
Vol. 85(3), pp. 033201 
article DOI  
BibTeX:
@article{Apertet2012vol85a,
  author = {Yann Apertet and Henni Ouerdane and Christophe Goupil and Philippe Lecoeur},
  title = {Thermoelectric internal current loops inside inhomogeneous systems},
  journal = {Physical Review B},
  publisher = {American Physical Society (APS)},
  year = {2012},
  volume = {85},
  number = {3},
  pages = {033201},
  doi = {https://doi.org/10.1103/physrevb.85.033201}
}
Frasca, M. Quantum mechanics is the square root of a stochastic process 2012 arXiv  article  
BibTeX:
@article{Frasca2012_vol,
  author = {Frasca, M.},
  title = {Quantum mechanics is the square root of a stochastic process},
  journal = {arXiv},
  year = {2012}
}
Küng, B., Rössler, C., Beck, M., Marthaler, M., Golubev, D.S., Utsumi, Y., Ihn, T. and Ensslin, K. Irreversibility on the Level of Single-Electron Tunneling 2012 Phys. Rev. X
Vol. 2, pp. 011001 
article DOI URL 
BibTeX:
@article{Kung2012_vol2,
  author = {Küng, B. and Rössler, C. and Beck, M. and Marthaler, M. and Golubev, D. S. and Utsumi, Y. and Ihn, T. and Ensslin, K.},
  title = {Irreversibility on the Level of Single-Electron Tunneling},
  journal = {Phys. Rev. X},
  publisher = {American Physical Society},
  year = {2012},
  volume = {2},
  pages = {011001},
  url = {http://link.aps.org/doi/10.1103/PhysRevX.2.011001},
  doi = {https://doi.org/10.1103/PhysRevX.2.011001}
}
Mainardi, F. Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics 2012 arXiv  article  
BibTeX:
@article{Mainardi2012_vol,
  author = {Mainardi, F.},
  title = {Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics},
  journal = {arXiv},
  year = {2012}
}
Alemany, A., Mossa, A., Junier, I. and Ritort, F. Experimental free-energy measurements of kinetic molecular states using fluctuation theorems 2012 Nat. Phys.
Vol. 8, pp. 688-694 
article DOI  
BibTeX:
@article{Alemany2012_vol8,
  author = {Alemany, A. and Mossa, A. and Junier, I. and Ritort, F.},
  title = {Experimental free-energy measurements of kinetic molecular states using fluctuation theorems},
  journal = {Nat. Phys.},
  year = {2012},
  volume = {8},
  pages = {688--694},
  doi = {https://doi.org/10.1038/nphys2375}
}
Andrieux, D. Nonequilibrium large deviations are determined by equilibrium dynamics 2012 arXiv  article URL 
BibTeX:
@article{Andrieux2012_vol,
  author = {Andrieux, David},
  title = {Nonequilibrium large deviations are determined by equilibrium dynamics},
  journal = {arXiv},
  year = {2012},
  url = {http://arxiv.org/abs/1212.1807}
}
Bauer, M., Abreu, D. and Seifert, U. Efficiency of a Brownian information machine 2012 J. Phys. A: Math. Theor.
Vol. 45(16), pp. 162001 
article URL 
Abstract: A Brownian information machine extracts work from a heat bath through a
feedback process that exploits the information acquired in a measurement. For
the paradigmatic case of a particle trapped in a harmonic potential, we
determine how power and efficiency for two variants of such a machine
operating cyclically depend on the cycle time and the precision of the
positional measurements. Controlling only the center of the trap leads to a
machine that has zero efficiency at maximum power, whereas additional optimal
control of the stiffness of the trap leads to an efficiency bounded between
1/2, which holds for maximum power, and 1 reached even for finite cycle time
in the limit of perfect measurements.
BibTeX:
@article{Bauer2012_vol45,
  author = {Bauer, M. and Abreu, D. and Seifert, U.},
  title = {Efficiency of a Brownian information machine},
  journal = {J. Phys. A: Math. Theor.},
  year = {2012},
  volume = {45},
  number = {16},
  pages = {162001},
  url = {http://stacks.iop.org/1751-8121/45/i=16/a=162001}
}
Bérut, A., Arakelyan, A., Petrosyan, A., Ciliberto, S., Dillenschneider, R. and Lutz, E. Experimental verification of Landauer's principle linking information and thermodynamics 2012 Nature
Vol. 483, pp. 187-189 
article DOI  
Abstract: In 1961, Rolf Landauer argued that the erasure of information is a
dissipative process(1). A minimal quantity of heat, proportional to the
thermal energy and called the Landauer bound, is necessarily produced when a
classical bit of information is deleted. A direct consequence of this
logically irreversible transformation is that the entropy of the environment
increases by a finite amount. Despite its fundamental importance for
information theory and computer science(2-5), the erasure principle has not
been verified experimentally so far, the main obstacle being the difficulty
of doing single-particle experiments in the low-dissipation regime. Here we
experimentally show the existence of the Landauer bound in a generic model of
a one-bit memory. Using a system of a single colloidal particle trapped in a
modulated double-well potential, we establish that the mean dissipated heat
saturates at the Landauer bound in the limit of long erasure cycles. This
result demonstrates the intimate link between information theory and
thermodynamics. It further highlights the ultimate physical limit of
irreversible computation.
BibTeX:
@article{Berut2012_vol483,
  author = {Bérut, A. and Arakelyan, A. and Petrosyan, A. and Ciliberto, S. and Dillenschneider, R. and Lutz, E.},
  title = {Experimental verification of Landauer's principle linking information and thermodynamics},
  journal = {Nature},
  publisher = {NATURE PUBLISHING GROUP},
  year = {2012},
  volume = {483},
  pages = {187--189},
  doi = {https://doi.org/10.1038/nature10872}
}
Blickle, V. and Bechinger, C. Realization of a micrometre-sized stochastic heat engine 2012 Nat. Phys.
Vol. 8, pp. 143-146 
article DOI  
BibTeX:
@article{Blickle2012_vol8,
  author = {Blickle, V. and Bechinger, C.},
  title = {Realization of a micrometre-sized stochastic heat engine},
  journal = {Nat. Phys.},
  year = {2012},
  volume = {8},
  pages = {143--146},
  doi = {https://doi.org/10.1038/nphys2163}
}
Brunner, N., Linden, N., Popescu, S. and Skrzypczyk, P. Virtual qubits, virtual temperatures, and the foundations of thermodynamics 2012 Phys. Rev. E
Vol. 85, pp. 051117 
article DOI URL 
BibTeX:
@article{Brunner2012_vol85,
  author = {Brunner, Nicolas and Linden, Noah and Popescu, Sandu and Skrzypczyk, Paul},
  title = {Virtual qubits, virtual temperatures, and the foundations of thermodynamics},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {85},
  pages = {051117},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.85.051117},
  doi = {https://doi.org/10.1103/PhysRevE.85.051117}
}
Calvo, F., Van-Oanh, N.-T., Parneix, P. and Falvo, C. Vibrational spectra of polyatomic molecules assisted by quantum thermal baths 2012 Phys. Chem. Chem. Phys.
Vol. 14, pp. 10503-10506 
article DOI URL 
Abstract: We assess the performance of colored-noise thermostats to generate quantum
mechanical initial conditions for molecular dynamics simulations, in the
context of infrared spectra of large polyatomic molecules. Comparison with
centroid molecular dynamics simulations taken as reference shows that the
method is accurate in predicting line shifts and band widths in the ionic
cluster (NaCl)32 and in the naphthalene molecule. As illustrated on much
larger polycyclic aromatic hydrocarbons, the method also allows fundamental
spectra to be evaluated in the limit of T = 0, taking into account
anharmonicities and vibrational delocalization.
BibTeX:
@article{Calvo2012_vol14,
  author = {Calvo, Florent and Van-Oanh, Nguyen-Thi and Parneix, Pascal and Falvo, Cyril},
  title = {Vibrational spectra of polyatomic molecules assisted by quantum thermal baths},
  journal = {Phys. Chem. Chem. Phys.},
  publisher = {The Royal Society of Chemistry},
  year = {2012},
  volume = {14},
  pages = {10503--10506},
  url = {http://dx.doi.org/10.1039/C2CP41663H},
  doi = {https://doi.org/10.1039/C2CP41663H}
}
Chechkin, A.V., Lenz, F. and Klages, R. Normal and anomalous fluctuation relations for Gaussian stochastic dynamics 2012 J. Stat. Mech: Theory Exp.(11), pp. L11001  article URL 
Abstract: We study transient work fluctuation relations (FRs) for Gaussian stochastic
systems generating anomalous diffusion. For this purpose we use a Langevin
approach by employing two different types of additive noise: (i) internal
noise where the fluctuation?dissipation relation of the second kind (FDR II)
holds, and (ii) external noise without FDR II. For internal noise we
demonstrate that the existence of FDR II implies the existence of the
fluctuation?dissipation relation of the first kind (FDR I), which in turn
leads to conventional (normal) forms of transient work FRs. For systems
driven by external noise we obtain violations of normal FRs, which we call
anomalous FRs. We derive them in the long-time limit and demonstrate the
existence of logarithmic factors in FRs for intermediate times. We also
outline possible experimental verifications.
BibTeX:
@article{Chechkin2012_vol2012,
  author = {A V Chechkin and F Lenz and R Klages},
  title = {Normal and anomalous fluctuation relations for Gaussian stochastic dynamics},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2012},
  number = {11},
  pages = {L11001},
  url = {http://stacks.iop.org/1742-5468/2012/i=11/a=L11001}
}
Chisolm, E. Geometric Algebra 2012   misc  
BibTeX:
@misc{Chisolm2012vol,
  author = {Eric Chisolm},
  title = {Geometric Algebra},
  year = {2012}
}
Delamotte, B. An Introduction to the Nonperturbative Renormalization Group 2012
Vol. 852Lecture Notes in Physics, Berlin Springer Verlag, pp. 49 
article DOI  
BibTeX:
@article{Delamotte2012_vol852,
  author = {Delamotte, B.},
  title = {An Introduction to the Nonperturbative Renormalization Group},
  booktitle = {Lecture Notes in Physics, Berlin Springer Verlag},
  year = {2012},
  volume = {852},
  pages = {49},
  doi = {https://doi.org/10.1007/978-3-642-27320-9_2}
}
Démoulin, D. Les billes magnétiques comme capteurs de force: application à la pression de croissance de filaments d?actine 2012 School: UPMC  phdthesis  
BibTeX:
@phdthesis{Demoulin2012_vol,
  author = {Démoulin, D.},
  title = {Les billes magnétiques comme capteurs de force: application à la pression de croissance de filaments d?actine},
  school = {UPMC},
  year = {2012}
}
Deseigne, J., Leonard, S., Dauchot, O. and Chate, H. Vibrated polar disks: spontaneous motion, binary collisions, and collective dynamics 2012 Soft Matter
Vol. 8, pp. 5629-5639 
article DOI URL 
Abstract: We study the spontaneous motion, binary collisions, and collective
dynamics of "polar disks", i.e. specially designed particles which,
when vibrated between two horizontal plates, move coherently along a
direction strongly correlated to their intrinsic polarity. The motion of our
particles, although nominally three-dimensional and complicated, is well
accounted for by a two-dimensional persistent random walk. Their binary
collisions are spatiotemporally extended events during which multiple actual
collisions happen, yielding a weak average effective alignment. We show
that this well-controlled, "dry active matter" system can display
collective motion with orientationally-ordered regions of the order of the
system size. We provide evidence of strong number density fluctuations in the
most ordered regimes observed. These results are discussed in the light of
the limitations of our system, notably those due to the inevitable presence
of walls.
BibTeX:
@article{Deseigne2012_vol8,
  author = {Deseigne, J. and Leonard, S. and Dauchot, O. and Chate, H.},
  title = {Vibrated polar disks: spontaneous motion, binary collisions, and collective dynamics},
  journal = {Soft Matter},
  publisher = {The Royal Society of Chemistry},
  year = {2012},
  volume = {8},
  pages = {5629--5639},
  url = {http://dx.doi.org/10.1039/C2SM25186H},
  doi = {https://doi.org/10.1039/C2SM25186H}
}
Dybiec, B., Parrondo, J.M.R. and Gudowska-Nowak, E. Fluctuation-dissipation relations under L�vy noises 2012 Europhys. Lett.
Vol. 98(5), pp. 50006 
article URL 
Abstract: For systems close to equilibrium, the relaxation properties of measurable
physical quantities are described by the linear response theory and the
fluctuation-dissipation theorem (FDT). Accordingly, the response or the
generalized susceptibility, which is a function of the unperturbed
equilibrium system, can be related to the correlation between spontaneous
fluctuations of a given conjugate variable. There have been several attempts
to extend the FDT far from equilibrium, introducing new terms or using
effective temperatures. Here, we discuss applicability of the generalized FDT
to out-of-equilibrium systems perturbed by time-dependent deterministic
forces and acting under the influence of white Levy noise. For the linear and
Gaussian case, the equilibrium correlation function provides a full
description of the dynamic properties of the system. This is, however, no
longer true for non-Gaussian Levy noises, for which the second and sometimes
also the first moments are divergent, indicating absence of underlying
physical scales. This self-similar behavior of Levy noises results in
violation of the classical dissipation theorem for the stability index
α<2. We show that by properly identifying appropriate variables
conjugated to external perturbations and analyzing time-dependent
distributions, the generalized FDT can be restored also for systems subject
to Levy noises. As a working example, we test the use of the generalized FDT
for a linear system subject to Cauchy white noise.
BibTeX:
@article{Dybiec2012_vol98,
  author = {Bartlomiej Dybiec and Juan M. R. Parrondo and Ewa Gudowska-Nowak},
  title = {Fluctuation-dissipation relations under L�vy noises},
  journal = {Europhys. Lett.},
  year = {2012},
  volume = {98},
  number = {5},
  pages = {50006},
  url = {http://stacks.iop.org/0295-5075/98/i=5/a=50006}
}
Esposito, M. Stochastic thermodynamics under coarse graining 2012 Phys. Rev. E
Vol. 85, pp. 041125 
article DOI URL 
BibTeX:
@article{Esposito2012_vol85,
  author = {Esposito, M.},
  title = {Stochastic thermodynamics under coarse graining},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {85},
  pages = {041125},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.85.041125},
  doi = {https://doi.org/10.1103/PhysRevE.85.041125}
}
Esposito, M. and Schaller, G. Stochastic thermodynamics for ``Maxwell demon'' feedbacks 2012 Europhys. Lett.
Vol. 99(3), pp. 30003 
article URL 
Abstract: We propose a way to incorporate the effect of a specific class of feedback
processes into stochastic thermodynamics. These ?Maxwell demon? feedbacks do
not affect the system energetics but only the energy barriers between the
system states (in a way which depends on the system states). They are thus of
a purely informational nature. We show that the resulting formalism can be
applied to study the thermodynamic effect of a feedback process acting on
electron transfers through a junction.
BibTeX:
@article{Esposito2012_vol99,
  author = {Esposito, M. and Schaller, G.},
  title = {Stochastic thermodynamics for ``Maxwell demon'' feedbacks},
  journal = {Europhys. Lett.},
  year = {2012},
  volume = {99},
  number = {3},
  pages = {30003},
  url = {http://stacks.iop.org/0295-5075/99/i=3/a=30003}
}
Fogedby, H.C. and Imparato, A. Heat flow in chains driven by thermal noise 2012 J. Stat. Mech: Theory Exp.(04), pp. P04005  article URL 
Abstract: We consider the large deviation function for a classical harmonic chain
composed of N particles driven at the end points by heat reservoirs, first
derived in the quantum regime by Saito and Dhar (2007 Phys. Rev. Lett. 99
180601) and in the classical regime by Saito and Dhar(2011 Phys. Rev. E 83
041121) and Kundu et al(2011 J. Stat. Mech. P03007). Within a Langevin
description we perform this calculation on the basis of a standard path
integral calculation in Fourier space. The cumulant generating function
yielding the large deviation function is given in terms of a transmission
Green's function and is consistent with the fluctuation theorem. We find a
simple expression for the tails of the heat distribution, which turns out to
decay exponentially. We, moreover, consider an extension of a single-particle
model suggested by Derrida and Brunet (2005 Einstein Aujourd'hui (Les Ulis:
EDP Sciences)) and discuss the two-particle case. We also discuss the limit
for large N and present a closed expression for the cumulant generating
function. Finally, we present a derivation of the fluctuation theorem on the
basis of a Fokker?Planck description. This result is not restricted to the
harmonic case but is valid for a general interaction potential between the
particles.
BibTeX:
@article{Fogedby2012_vol2012,
  author = {Hans C Fogedby and Alberto Imparato},
  title = {Heat flow in chains driven by thermal noise},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2012},
  number = {04},
  pages = {P04005},
  url = {http://stacks.iop.org/1742-5468/2012/i=04/a=P04005}
}
Freidlin, M.I. and Wentzell, A.D. Random Perturbations of Dynamical Systems 2012   book DOI  
BibTeX:
@book{Freidlin2012vol,
  author = {Mark I. Freidlin and Alexander D. Wentzell},
  title = {Random Perturbations of Dynamical Systems},
  publisher = {Springer Berlin Heidelberg},
  year = {2012},
  doi = {https://doi.org/10.1007/978-3-642-25847-3}
}
Gammaitoni, L. There's plenty of energy at the bottom (micro and nano scale nonlinear noise harvesting) 2012 Contemp. Phys.
Vol. 53(2), pp. 119-135 
article  
Abstract: The future of mobile Information and Communication Technology will be
strongly affected by our success in solving the question of how to power very
small devices. Ambient energy harvesting has been in recent years the
recurring object of a number of research efforts aimed at providing an
autonomous solution to the powering of small-scale electronic devices. Among
the different solutions, micro scale vibration energy harvesting has played a
major role due to the almost universal presence of mechanical vibrations
mainly in the form of random fluctuations, i.e. noise. In this paper we
briefly discuss the role of micro-energies and the possibility to harvest
them by employing nonlinear dynamical systems.
BibTeX:
@article{Gammaitoni2012_vol53,
  author = {Gammaitoni, L.},
  title = {There's plenty of energy at the bottom (micro and nano scale nonlinear noise harvesting)},
  journal = {Contemp. Phys.},
  year = {2012},
  volume = {53},
  number = {2},
  pages = {119--135}
}
Garc\ia-Garc\ia, R., Lecomte, V., Kolton, A.B. and Dom\inguez, D. Joint probability distributions and fluctuation theorems 2012 J. Stat. Mech: Theory Exp., pp. P02009  article DOI URL 
Abstract: We derive various exact results for Markovian systems that spontaneously
relax to a non-equilibrium steady state by using joint probability
distribution symmetries of different entropy production decompositions. The
analytical approach is applied to diverse problems such as the description of
the fluctuations induced by experimental errors, for unveiling symmetries of
correlation functions appearing in fluctuation?dissipation relations recently
generalized to non-equilibrium steady states, and also for mapping averages
between different trajectory-based dynamical ensembles. Many known
fluctuation theorems arise as special instances of our approach for
particular twofold decompositions of the total entropy production. As a
complement, we also briefly review and synthesize the variety of fluctuation
theorems applying to stochastic dynamics of both continuous systems described
by a Langevin dynamics and discrete systems obeying a Markov dynamics,
emphasizing how these results emerge from distinct symmetries of the
dynamical entropy of the trajectory followed by the system. For Langevin
dynamics, we embed the 'dual dynamics' with a physical meaning, and for
Markov systems we show how the fluctuation theorems translate into symmetries
of modified evolution operators.
BibTeX:
@article{Garcia-Garcia2012_vol2012,
  author = {Garc\ia-Garc\ia, R. and Lecomte, V. and Kolton, A. B. and Dom\inguez, D.},
  title = {Joint probability distributions and fluctuation theorems},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2012},
  pages = {P02009},
  url = {http://stacks.iop.org/1742-5468/2012/i=02/a=P02009},
  doi = {https://doi.org/10.1088/1742-5468/2012/02/P02009}
}
Gomez-Solano, J. R., Petrosyan, A. and Ciliberto, S. Fluctuations, linear response and heat flux of an aging system 2012 Europhys. Lett.
Vol. 98(1), pp. 10007 
article DOI URL 
BibTeX:
@article{Gomez-SolanoJ.R.2012_vol98,
  author = {Gomez-Solano, J. R. and Petrosyan, A. and Ciliberto, S.},
  title = {Fluctuations, linear response and heat flux of an aging system},
  journal = {Europhys. Lett.},
  year = {2012},
  volume = {98},
  number = {1},
  pages = {10007},
  url = {http://dx.doi.org/10.1209/0295-5075/98/10007},
  doi = {https://doi.org/10.1209/0295-5075/98/10007}
}
Gray, T. The Elements: A Visual Exploration of Every Known Atom in the Universe 2012   book  
BibTeX:
@book{Book_Gray2012,
  author = {Theodore Gray},
  title = {The Elements: A Visual Exploration of Every Known Atom in the Universe},
  publisher = {Black Dog &amp; Leventhal},
  year = {2012}
}
Hartmann, C. and Sch�tte, C. Efficient rare event simulation by optimal nonequilibrium forcing 2012 J. Stat. Mech: Theory Exp.
Vol. 2012(11), pp. P11004 
article URL 
Abstract: Rare event simulation and estimation for systems in equilibrium are among the
most challenging topics in molecular dynamics. As was shown by Jarzynski and
others, nonequilibrium forcing can theoretically be used to obtain
equilibrium rare event statistics. The advantage seems to be that the
external force can speed up the sampling of the rare events by biasing the
equilibrium distribution towards a distribution under which the rare events
are no longer rare. Yet algorithmic methods based on Jarzynski's and related
results often fail to be efficient because they are based on sampling in path
space. We present a new method that replaces the path sampling problem by
minimization of a cross-entropy-like functional which boils down to finding
the optimal nonequilibrium forcing. We show how to solve the related
optimization problem in an efficient way by using an iterative strategy based
on milestoning.
BibTeX:
@article{Hartmann2012_vol2012,
  author = {Carsten Hartmann and Christof Sch�tte},
  title = {Efficient rare event simulation by optimal nonequilibrium forcing},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2012},
  volume = {2012},
  number = {11},
  pages = {P11004},
  url = {http://stacks.iop.org/1742-5468/2012/i=11/a=P11004}
}
Holyst, R. and Poniewierski, A. Thermodynamics for Chemists, Physicists and Engineers 2012   book  
BibTeX:
@book{Holyst2012vol,
  author = {Holyst, R. and Poniewierski, A.},
  title = {Thermodynamics for Chemists, Physicists and Engineers},
  publisher = {Springer Netherlands},
  year = {2012},
  edition = {1}
}
Izumida, Y. and Okuda, K. Efficiency at maximum power of minimally nonlinear irreversible heat engines 2012 Europhys. Lett.
Vol. 97(1), pp. 10004 
article DOI URL 
Abstract: We propose the minimally nonlinear irreversible heat engine as a new general
theoretical model to study the efficiency at the maximum power ? * of heat
engines operating between the hot heat reservoir at the temperature T h and
the cold one at T c ( T c ? T h ). Our model is based on the extended Onsager
relations with a new nonlinear term meaning the power dissipation. In this
model, we show that ? * is bounded from the upper side by a function of the
Carnot efficiency ? C ?1? T c / T h as ? * ?? C /(2?? C ). We demonstrate the
validity of our theory by showing that the low-dissipation Carnot engine can
easily be described by our theory.
BibTeX:
@article{Izumida2012_vol97,
  author = {Y. Izumida and K. Okuda},
  title = {Efficiency at maximum power of minimally nonlinear irreversible heat engines},
  journal = {Europhys. Lett.},
  year = {2012},
  volume = {97},
  number = {1},
  pages = {10004},
  url = {http://stacks.iop.org/0295-5075/97/i=1/a=10004},
  doi = {https://doi.org/10.1209/0295-5075/97/10004}
}
Lan, G., Sartori, P., Neumann, S., Sourjik, V. and Tu, Y. The energy-speed-accuracy trade-off in sensory adaptation 2012 Nat. Phys.
Vol. 8, pp. 422-428 
article DOI  
BibTeX:
@article{Lan2012_vol,
  author = {Lan, G. and Sartori, P. and Neumann, S. and Sourjik, V. and Tu, Y.},
  title = {The energy-speed-accuracy trade-off in sensory adaptation},
  journal = {Nat. Phys.},
  year = {2012},
  volume = {8},
  pages = {422--428},
  doi = {https://doi.org/10.1038/nphys2276}
}
Lee, J. and Pressé, S. A derivation of the master equation from path entropy maximization 2012 J. Chem. Phys.
Vol. 137(7), pp. 074103 
article DOI URL 
BibTeX:
@article{Lee2012_vol137,
  author = {Lee, J. and Pressé, S.},
  title = {A derivation of the master equation from path entropy maximization},
  journal = {J. Chem. Phys.},
  publisher = {AIP},
  year = {2012},
  volume = {137},
  number = {7},
  pages = {074103},
  url = {http://link.aip.org/link/?JCP/137/074103/1},
  doi = {https://doi.org/10.1063/1.4743955}
}
Maes, C., Netocný, K. and Wynants, B. Monotonicity of the dynamical activity 2012 J. Phys. A: Math. Theor.
Vol. 45(45), pp. 455001 
article DOI URL 
Abstract: The Donsker-Varadhan rate function for occupation-time fluctuations has been
seen numerically to exhibit monotone return to stationary non-equilibrium
(Maes et al 2011 Phys. Rev. Lett. 107 010601). That rate function is related
to dynamical activity and, except under detailed balance, it does not derive
from the relative entropy for which the monotonicity in time is well
understood. We give a rigorous argument that the Donsker-Varadhan function is
indeed monotone under the Markov evolution at large enough times with respect
to the relaxation time, provided that a 'normal linear-response' condition is
satisfied.
BibTeX:
@article{Maes2012_vol45,
  author = {Maes, C. and Netocný, K. and Wynants, B.},
  title = {Monotonicity of the dynamical activity},
  journal = {J. Phys. A: Math. Theor.},
  year = {2012},
  volume = {45},
  number = {45},
  pages = {455001},
  url = {http://stacks.iop.org/1751-8121/45/i=45/a=455001},
  doi = {https://doi.org/10.1088/1751-8113/45/45/455001}
}
Michel, G. and Searles, D.J. Contribution of the stochastic forces to the fluctuation theorem 2012 Phys. Rev. E
Vol. 85, pp. 042102 
article DOI URL 
BibTeX:
@article{Michel2012_vol85,
  author = {Michel, G. and Searles, D. J.},
  title = {Contribution of the stochastic forces to the fluctuation theorem},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {85},
  pages = {042102},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.85.042102},
  doi = {https://doi.org/10.1103/PhysRevE.85.042102}
}
Polettini, M. Geometric and Combiatorial Structures in Nonequilibrium Statistical Mechanics 2012 School: Universita di Bologna  phdthesis  
BibTeX:
@phdthesis{Polettini2012vol,
  author = {Matteo Polettini},
  title = {Geometric and Combiatorial Structures in Nonequilibrium Statistical Mechanics},
  school = {Universita di Bologna},
  year = {2012}
}
Polettini, M. Nonequilibrium thermodynamics as a gauge theory 2012 Europhys. Lett.
Vol. 97(3), pp. 30003 
article URL 
Abstract: We assume that Markovian dynamics on a finite graph enjoys a gauge symmetry
under local scalings of the probability density, derive the transformation
law for the transition rates and interpret the thermodynamic force as a gauge
potential. A widely accepted expression for the total entropy production of a
system arises as the simplest gauge-invariant completion of the time
derivative of Gibbs's entropy. We show that transition rates can be given a
simple physical characterization in terms of locally detailed balanced heat
reservoirs. It follows that Clausius's measure of irreversibility along a
cyclic transformation is a geometric phase. In this picture, the gauge
symmetry arises as the arbitrariness in the choice of a prior probability.
Thermostatics depends on the information that is disposable to an observer;
thermodynamics does not.
BibTeX:
@article{Polettini2012_vol97,
  author = {M. Polettini},
  title = {Nonequilibrium thermodynamics as a gauge theory},
  journal = {Europhys. Lett.},
  year = {2012},
  volume = {97},
  number = {3},
  pages = {30003},
  url = {http://stacks.iop.org/0295-5075/97/i=3/a=30003}
}
Ruelle, D.P. Hydrodynamic turbulence as a problem in nonequilibrium statistical mechanics 2012 Proceedings of the National Academy of Sciences
Vol. 109(50), pp. 20344-20346 
article DOI URL 
BibTeX:
@article{Ruelle2012_vol109,
  author = {Ruelle, David P.},
  title = {Hydrodynamic turbulence as a problem in nonequilibrium statistical mechanics},
  journal = {Proceedings of the National Academy of Sciences},
  year = {2012},
  volume = {109},
  number = {50},
  pages = {20344--20346},
  url = {http://www.pnas.org/content/109/50/20344.abstract},
  doi = {https://doi.org/10.1073/pnas.1218747109}
}
Russel, J. and Cohn, R. Crooks fluctuation theorem 2012   book  
BibTeX:
@book{Book_Russel2012,
  author = {Russel, J. and Cohn, R.},
  title = {Crooks fluctuation theorem},
  publisher = {Book on Demand},
  year = {2012}
}
Sabhapandit, S. Heat and work fluctuations for a harmonic oscillator 2012 Phys. Rev. E
Vol. 85, pp. 021108 
article DOI URL 
BibTeX:
@article{Sabhapandit2012_vol85,
  author = {Sabhapandit, S.},
  title = {Heat and work fluctuations for a harmonic oscillator},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {85},
  pages = {021108},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.85.021108},
  doi = {https://doi.org/10.1103/PhysRevE.85.021108}
}
Seifert, U. Stochastic thermodynamics, fluctuation theorems and molecular machines 2012 Rep. Prog. Phys.
Vol. 75(12), pp. 126001 
article URL 
Abstract: Stochastic thermodynamics as reviewed here systematically provides a
framework for extending the notions of classical thermodynamics such as work,
heat and entropy production to the level of individual trajectories of
well-defined non-equilibrium ensembles. It applies whenever a non-equilibrium
process is still coupled to one (or several) heat bath(s) of constant
temperature. Paradigmatic systems are single colloidal particles in
time-dependent laser traps, polymers in external flow, enzymes and molecular
motors in single molecule assays, small biochemical networks and
thermoelectric devices involving single electron transport. For such systems,
a first-law like energy balance can be identified along fluctuating
trajectories. For a basic Markovian dynamics implemented either on the
continuum level with Langevin equations or on a discrete set of states as a
master equation, thermodynamic consistency imposes a local-detailed balance
constraint on noise and rates, respectively. Various integral and detailed
fluctuation theorems, which are derived here in a unifying approach from one
master theorem, constrain the probability distributions for work, heat and
entropy production depending on the nature of the system and the choice of
non-equilibrium conditions. For non-equilibrium steady states, particularly
strong results hold like a generalized fluctuation?dissipation theorem
involving entropy production. Ramifications and applications of these
concepts include optimal driving between specified states in finite time, the
role of measurement-based feedback processes and the relation between
dissipation and irreversibility. Efficiency and, in particular, efficiency at
maximum power can be discussed systematically beyond the linear response
regime for two classes of molecular machines, isothermal ones such as
molecular motors, and heat engines such as thermoelectric devices, using a
common framework based on a cycle decomposition of entropy production.
BibTeX:
@article{Seifert2012_vol75,
  author = {Seifert, U.},
  title = {Stochastic thermodynamics, fluctuation theorems and molecular machines},
  journal = {Rep. Prog. Phys.},
  year = {2012},
  volume = {75},
  number = {12},
  pages = {126001},
  url = {http://stacks.iop.org/0034-4885/75/i=12/a=126001}
}
Speck, T., Engel, A. and Seifert, U. The large deviation function for entropy production: the optimal trajectory and the role of fluctuations 2012 J. Stat. Mech: Theory Exp.(12), pp. P12001  article URL 
Abstract: We study the large deviation function for the entropy production rate in two
driven one-dimensional systems: the asymmetric random walk on a discrete
lattice and Brownian motion in a continuous periodic potential. We compare
two approaches: using the Donsker?Varadhan theory and using the
Freidlin?Wentzell theory. We show that the wings of the large deviation
function are dominated by a single optimal trajectory: either in the forward
direction (positive rate) or in the backward direction (negative rate). The
joining of the two branches at zero entropy production implies a
non-differentiability and thus the appearance of a ?kink?. However, around
zero entropy production, many trajectories contribute and thus the ?kink? is
smeared out.
BibTeX:
@article{Speck2012_vol2012,
  author = {Thomas Speck and Andreas Engel and Udo Seifert},
  title = {The large deviation function for entropy production: the optimal trajectory and the role of fluctuations},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2012},
  number = {12},
  pages = {P12001},
  url = {http://stacks.iop.org/1742-5468/2012/i=12/a=P12001}
}
Spinney, R. and Ford, I. Entropy production in full phase space: An integral Fluctuation Theorem for a generalised house-keeping heat 2012 arXiv  article  
BibTeX:
@article{Spinney2012_vol,
  author = {Spinney, R. E. and Ford, I. J.},
  title = {Entropy production in full phase space: An integral Fluctuation Theorem for a generalised house-keeping heat},
  journal = {arXiv},
  year = {2012}
}
Toyabe, S., Ueno, H. and Muneyuki, E. Recovery of state-specific potential of molecular motor from single-molecule trajectory 2012 Europhys. Lett.
Vol. 97(4), pp. 40004 
article URL 
Abstract: We have developed a novel method to evaluate the potential profile of a
molecular motor at each chemical state from only the probe's trajectory and
applied it to a rotary molecular motor F 1 -ATPase. By using this method, we
could also obtain the information regarding the mechanochemical coupling and
energetics. We demonstrate that the position-dependent transition of the
chemical states is the key feature for the highly efficient free-energy
transduction by F 1 -ATPase.
BibTeX:
@article{Toyabe2012_vol97,
  author = {Shoichi Toyabe and Hiroshi Ueno and Eiro Muneyuki},
  title = {Recovery of state-specific potential of molecular motor from single-molecule trajectory},
  journal = {Europhys. Lett.},
  year = {2012},
  volume = {97},
  number = {4},
  pages = {40004},
  url = {http://stacks.iop.org/0295-5075/97/i=4/a=40004}
}
Verley, G. Fluctuations et réponse des systèmes hors d'équillibre 2012 School: Université Pierre et Marie Curie  phdthesis URL 
Abstract: In recent years, a broad number of works have shed light on the nature of
irreversibility of nonequilibrium phenomena, have permitted to redefine
quantities such as work or entropy production at the level of trajectories,
and to enlighten their symmetries through the fluctuation theorems. During
this thesis, we focused on these results in a purely classical and Markovian
framework. We have unified the various formulations of the generalized
fluctuation dissipation theorem around steady and unsteady nonequilibrium
state by identifying the various sources of irreversibility and by making
them appear in the system response. We have tried to link the fluctuation
theorems with the theory of linear response which was possible using a
generalization of the relation of Hatano and Sasa. In doing so, we found that
different functionals verified symmetry properties similar to the fluctuation
theorem for total entropy production. The study of the generalization of
Hatano and Sasa relation led us to an inequality of the same type as the
Clausius inequality. This new inequality gives a lower bound for the system
entropy production during transition between non-stationary states, as the
Clausius inequality do for transitions between equilibrium states. We have
illustrated these ideas on a few simple cases analytical or numerical and in
an experiment where we manipulate magnetic colloids. In these experiments, a
Crooks relation is expected for a system with space dependent diffusion
coefficient, allowing to consider new tests of stochastic thermodynamics.
BibTeX:
@phdthesis{Verley2012_vol,
  author = {Verley, G.},
  title = {Fluctuations et réponse des systèmes hors d'équillibre},
  school = {Université Pierre et Marie Curie},
  year = {2012},
  note = {http://tel.archives-ouvertes.fr/tel-00748590PDF},
  url = {http://tel.archives-ouvertes.fr/tel-00748590}
}
Verley, G., Chétrite, R. and Lacoste, D. Inequalities Generalizing the Second Law of Thermodynamics for Transitions between Non-stationary States 2012 Phys. Rev. Lett.
Vol. 108, pp. 120601 
article DOI URL 
Abstract: We discuss the consequences of a variant of the Hatano-Sasa relation in which
a nonstationary distribution is used in place of the usual stationary one. We
first show that this nonstationary distribution is related to a difference of
traffic between the direct and dual dynamics. With this formalism, we extend
the definition of the adiabatic and nonadiabatic entropies introduced by M.
Esposito and C. Van den Broeck in Phys. Rev. Lett. 104, 090601 (2010) for the
stationary case. We also obtain interesting second- law-like inequalities for
transitions between nonstationary states.
BibTeX:
@article{Verley2012_vol108,
  author = {Verley, G. and Chétrite, R. and Lacoste, D.},
  title = {Inequalities Generalizing the Second Law of Thermodynamics for Transitions between Non-stationary States},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2012},
  volume = {108},
  pages = {120601},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2012_vol108.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2012_vol108.pdf},
  doi = {https://doi.org/10.1103/PhysRevLett.108.120601}
}
Verley, G. and Lacoste, D. Fluctuation theorems and inequalities generalizing the second law of thermodynamics out of equilibrium 2012 Phys. Rev. E
Vol. 86, pp. 051127 
article DOI URL 
Abstract: We present a general framework for systems which are prepared in a
nonstationary nonequilibrium state in the absence of any perturbation and
which are then further driven through the application of a time-dependent
perturbation. By assumption, the evolution of the system must be described by
Markovian dynamics. We distinguish two different situations depending on the
way the nonequilibrium state is prepared; either it is created by some
driving or it results from a relaxation following some initial nonstationary
conditions. Our approach is based on a recent generalization of the
Hatano-Sasa relation for nonstationary probability distributions. We also
investigate whether a form of the second law holds for separate parts of the
entropy production and for any nonstationary reference process, a question
motivated by the work of M. Esposito et al. [Phys. Rev. Lett. 104, 090601
(2010)]. We find that although the special structure of the theorems derived
in this reference is not recovered in the general case, detailed fluctuation
theorems still hold separately for parts of the entropy production. These
detailed fluctuation theorems contain interesting generalizations of the
second law of thermodynamics for nonequilibrium systems.
BibTeX:
@article{Verley2012_vol86a,
  author = {Verley, G. and Lacoste, D.},
  title = {Fluctuation theorems and inequalities generalizing the second law of thermodynamics out of equilibrium},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2012},
  volume = {86},
  pages = {051127},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2012_vol86a.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2012_vol86a.pdf},
  doi = {https://doi.org/10.1103/PhysRevE.86.051127}
}
Verley, G. and Lacoste, D. Fluctuations and response from a Hatano and Sasa approach 2012 Phys. Scr.
Vol. 86, pp. 058505 
article DOI URL 
Abstract: In this commentary paper, we present some of the main ideas on deriving a
modified fluctuation-dissipation theorem off equilibrium, which in the end
can all be related to an approach based on a generalized Hatano?Sasa
relation. This generalized Hatano?Sasa relation also contains an interesting
inequality, which can be viewed as a generalization of the second law of
thermodynamics to transitions between non-equilibrium states.
BibTeX:
@article{Verley2012_vol86,
  author = {Verley, G. and Lacoste, D.},
  title = {Fluctuations and response from a Hatano and Sasa approach},
  journal = {Phys. Scr.},
  year = {2012},
  volume = {86},
  pages = {058505},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2012_vol86.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2012_vol86.pdf},
  doi = {https://doi.org/10.1088/0031-8949/86/05/058505}
}
Zhang, X.-J., Qian, H. and Qian, M. Stochastic theory of nonequilibrium steady states and its applications. Part I 2012 Phys. Rep.
Vol. 510(1-2), pp. 1-86 
article DOI URL 
Abstract: The concepts of equilibrium and nonequilibrium steady states are introduced
in the present review as mathematical concepts associated with stationary
Markov processes. For both discrete stochastic systems with master equations
and continuous diffusion processes with Fokker-Planck equations, the
nonequilibrium steady state (NESS) is characterized in terms of several key
notions which are originated from nonequilibrium physics: time
irreversibility, breakdown of detailed balance, free energy dissipation, and
positive entropy production rate. After presenting this NESS\ theory in
pedagogically accessible mathematical terms that require only a minimal
amount of prerequisites in nonlinear differential equations and the theory of
probability, it is applied, in Part I, to two widely studied problems: the
stochastic resonance (also known as coherent resonance) and molecular motors
(also known as Brownian ratchet). Although both areas have advanced rapidly
on their own with a vast amount of literature, the theory of NESS\
provides them with a unifying mathematical foundation. Part II\ of this
review contains applications of the NESS\ theory to processes from
cellular biochemistry, ranging from enzyme catalyzed reactions, kinetic
proofreading, to zeroth-order ultrasensitivity.
BibTeX:
@article{Zhang2012_vol510,
  author = {X.-J. Zhang and H. Qian and M. Qian},
  title = {Stochastic theory of nonequilibrium steady states and its applications. Part I},
  journal = {Phys. Rep.},
  year = {2012},
  volume = {510},
  number = {1-2},
  pages = {1--86},
  url = {http://www.sciencedirect.com/science/article/pii/S0370157311002420},
  doi = {https://doi.org/10.1016/j.physrep.2011.09.002}
}
Zhou, J.X., Aliyu, M.D.S., Aurell, E. and Huang, S. Quasi-potential landscape in complex multi-stable systems 2012 Journal of The Royal Society Interface
Vol. 9(77), pp. 3539-3553 
article DOI URL 
Abstract: The developmental dynamics of multicellular organisms is a process that takes
place in a multi-stable system in which each attractor state represents a
cell type, and attractor transitions correspond to cell differentiation
paths. This new understanding has revived the idea of a quasi-potential
landscape, first proposed by Waddington as a metaphor. To describe
development, one is interested in the ‘relative
stabilities’ of N attractors (N &gt; 2). Existing theories
of state transition between local minima on some potential landscape deal
with the exit part in the transition between two attractors in pair-attractor
systems but do not offer the notion of a global potential function that
relates more than two attractors to each other. Several ad hoc methods have
been used in systems biology to compute a landscape in non-gradient systems,
such as gene regulatory networks. Here we present an overview of currently
available methods, discuss their limitations and propose a new decomposition
of vector fields that permits the computation of a quasi-potential function
that is equivalent to the Freidlin–Wentzell potential but is not
limited to two attractors. Several examples of decomposition are given, and
the significance of such a quasi-potential function is discussed.
BibTeX:
@article{Zhou2012_vol9,
  author = {Zhou, Joseph Xu and Aliyu, M. D. S. and Aurell, Erik and Huang, Sui},
  title = {Quasi-potential landscape in complex multi-stable systems},
  journal = {Journal of The Royal Society Interface},
  publisher = {The Royal Society},
  year = {2012},
  volume = {9},
  number = {77},
  pages = {3539--3553},
  url = {http://rsif.royalsocietypublishing.org/content/9/77/3539},
  doi = {https://doi.org/10.1098/rsif.2012.0434}
}
Nemoto, T. and Sasa, S.I. Thermodynamic formula for the cumulant generating function of time-averaged current 2011 Phys. Rev. E
Vol. 84, pp. 061113 
article DOI URL 
BibTeX:
@article{Nemoto2011_vol,
  author = {Nemoto, T. and Sasa, S. I.},
  title = {Thermodynamic formula for the cumulant generating function of time-averaged current},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2011},
  volume = {84},
  pages = {061113},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.84.061113},
  doi = {https://doi.org/10.1103/PhysRevE.84.061113}
}
Kumar, N., Van den Broeck, C., Esposito, M. and Lindenberg, K. Thermodynamics of a stochastic twin elevator 2011 Phys. Rev. E
Vol. 84, pp. 051134 
article DOI URL 
BibTeX:
@article{Kumar2011_vol84,
  author = {Kumar, N. and Van den Broeck, C. and Esposito, M. and Lindenberg, K.},
  title = {Thermodynamics of a stochastic twin elevator},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2011},
  volume = {84},
  pages = {051134},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.84.051134},
  doi = {https://doi.org/10.1103/PhysRevE.84.051134}
}
Park, T.-H. and Galperin, M. Self-consistent full counting statistics of inelastic transport 2011 Phys. Rev. B
Vol. 84, pp. 205450 
article DOI URL 
BibTeX:
@article{Park2011_vol84,
  author = {Park, Tae-Ho and Galperin, Michael},
  title = {Self-consistent full counting statistics of inelastic transport},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2011},
  volume = {84},
  pages = {205450},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.84.205450},
  doi = {https://doi.org/10.1103/PhysRevB.84.205450}
}
Polettini, M. Macroscopic constraints for the minimum entropy production principle 2011 Phys. Rev. E
Vol. 84, pp. 051117 
article DOI URL 
BibTeX:
@article{Polettini2011_vol84,
  author = {Polettini, M.},
  title = {Macroscopic constraints for the minimum entropy production principle},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2011},
  volume = {84},
  pages = {051117},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.84.051117},
  doi = {https://doi.org/10.1103/PhysRevE.84.051117}
}
Sagawa, T. and Hayakawa, H. Geometrical expression of excess entropy production 2011 Phys. Rev. E
Vol. 84, pp. 051110 
article DOI URL 
BibTeX:
@article{Sagawa2011_vol84,
  author = {Sagawa, Takahiro and Hayakawa, Hisao},
  title = {Geometrical expression of excess entropy production},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2011},
  volume = {84},
  pages = {051110},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.84.051110},
  doi = {https://doi.org/10.1103/PhysRevE.84.051110}
}
Bulnes Cuetara, G., Esposito, M. and Gaspard, P. Fluctuation theorems for capacitively coupled electronic currents 2011 Phys. Rev. B
Vol. 84, pp. 165114 
article DOI URL 
BibTeX:
@article{BulnesCuetara2011_vol84,
  author = {Bulnes Cuetara, G. and Esposito, M. and Gaspard, P.},
  title = {Fluctuation theorems for capacitively coupled electronic currents},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2011},
  volume = {84},
  pages = {165114},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.84.165114},
  doi = {https://doi.org/10.1103/PhysRevB.84.165114}
}
Martens, K. and Bertin, E. The influence of flux balance on the generalized chemical potential in mass transport models 2011 Journal of Statistical Mechanics: Theory and Experiment
Vol. 2011(09), pp. P09012 
article DOI  
BibTeX:
@article{Martens2011vol2011,
  author = {Martens, Kirsten and Bertin, Eric},
  title = {The influence of flux balance on the generalized chemical potential in mass transport models},
  journal = {Journal of Statistical Mechanics: Theory and Experiment},
  publisher = {IOP Publishing},
  year = {2011},
  volume = {2011},
  number = {09},
  pages = {P09012},
  doi = {https://doi.org/10.1088/1742-5468/2011/09/p09012}
}
Comtet, A. and Tourigny, Y. Excursions of diffusion processes and continued fractions 2011 Ann. Inst. H. Poincar� Probab. Statist.
Vol. 47(3), pp. 850-874 
article DOI URL 
BibTeX:
@article{Comtet2011_vol47,
  author = {Comtet, A. and Tourigny, Y.},
  title = {Excursions of diffusion processes and continued fractions},
  journal = {Ann. Inst. H. Poincar� Probab. Statist.},
  publisher = {Institut Henri Poincar�},
  year = {2011},
  volume = {47},
  number = {3},
  pages = {850--874},
  url = {http://dx.doi.org/10.1214/10-AIHP390},
  doi = {https://doi.org/10.1214/10-AIHP390}
}
Ito, S. and Sano, M. Effects of error on fluctuations under feedback control 2011 Phys. Rev. E
Vol. {84}({2, Part 1}) 
article DOI  
Abstract: We consider a one-dimensional Brownian motion under nonequilibrium feedback
control. Generally, the fluctuation-dissipation theorem (FDT) is violated in
driven systems under nonequilibrium conditions. We find that the degree of
the FDT violation is bounded by the mutual information obtained by the
feedback system when the feedback protocol includes measurement errors. We
introduce two simple models to illustrate cooling processes by feedback
control and demonstrate analytical results for the cooling limit in those
systems. Especially in a steady state, lower bounds to the effective
temperature are given by an inequality similar to the Carnot efficiency.
BibTeX:
@article{Ito2011_vol84,
  author = {Ito, Sosuke and Sano, Masaki},
  title = {Effects of error on fluctuations under feedback control},
  journal = {Phys. Rev. E},
  publisher = {AMER PHYSICAL SOC},
  year = {2011},
  volume = {84},
  number = {2, Part 1},
  doi = {https://doi.org/10.1103/PhysRevE.84.021123}
}
Campisi, M., Hänggi, P. and Talkner, P. Colloquium: Quantum fluctuation relations: Foundations and applications 2011 Rev. Mod. Phys.
Vol. 83, pp. 771-791 
article DOI URL 
BibTeX:
@article{Campisi2011_vol83,
  author = {Campisi, M. and Hänggi, P. and Talkner, P.},
  title = {Colloquium: Quantum fluctuation relations: Foundations and applications},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {2011},
  volume = {83},
  pages = {771--791},
  url = {http://link.aps.org/doi/10.1103/RevModPhys.83.771},
  doi = {https://doi.org/10.1103/RevModPhys.83.771}
}
Cortet, P.-P., Herbert, E., Chiffaudel, A., Daviaud, F., Dubrulle, B. and Padilla, V. Susceptibility divergence, phase transition and multistability of a highly turbulent closed flow 2011 J. Stat. Mech: Theory Exp.
Vol. 2011(07), pp. P07012 
article DOI URL 
BibTeX:
@article{Cortet2011_vol2011,
  author = {P-P Cortet and E Herbert and A Chiffaudel and F Daviaud and B Dubrulle and V Padilla},
  title = {Susceptibility divergence, phase transition and multistability of a highly turbulent closed flow},
  journal = {J. Stat. Mech: Theory Exp.},
  publisher = {IOP Publishing},
  year = {2011},
  volume = {2011},
  number = {07},
  pages = {P07012},
  url = {https://doi.org/10.1088%2F1742-5468%2F2011%2F07%2Fp07012},
  doi = {https://doi.org/10.1088/1742-5468/2011/07/p07012}
}
Benenti, G., Saito, K. and Casati, G. Thermodynamic Bounds on Efficiency for Systems with Broken Time-Reversal Symmetry 2011 Phys. Rev. Lett.
Vol. 106, pp. 230602 
article DOI URL 
BibTeX:
@article{Benenti2011_vol106,
  author = {Benenti, G. and Saito, K. and Casati, G.},
  title = {Thermodynamic Bounds on Efficiency for Systems with Broken Time-Reversal Symmetry},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2011},
  volume = {106},
  pages = {230602},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.106.230602},
  doi = {https://doi.org/10.1103/PhysRevLett.106.230602}
}
Polettini, M. System/environment duality of nonequilibrium observables 2011 In Mathematical Technology of Networks, Springer Proceedings in Mathematics & Statistics 128, ed. Delio Mugniolo (Springer, 2015)  article DOI  
Abstract: On networks representing probability currents between states of a system, we generalize Schnakenberg's theory of nonequilibrium observables to nonsteady states, with the introduction of a new set of macroscopic observables that, for planar graphs, are related by a duality. We apply this duality to the linear regime, obtaining a dual proposition for the minimum entropy production principle, and to discrete electromagnetism, finding that it exchanges fields with sources. We interpret duality as reversing the role of system and environment, and discuss generalization to nonplanar graphs. The results are based on two theorems regarding the representation of bilinear and quadratic forms over the edge vector space of an oriented graph in terms of observables associated to cycles and cocycles.
BibTeX:
@article{Polettini2011vol,
  author = {Matteo Polettini},
  title = {System/environment duality of nonequilibrium observables},
  journal = {In Mathematical Technology of Networks, Springer Proceedings in Mathematics & Statistics 128, ed. Delio Mugniolo (Springer, 2015)},
  year = {2011},
  doi = {https://doi.org/10.1007/978-3-319-16619-3_13}
}
Jacquin, H. and van Wijland, F. Field-Theoretic Formulation of a Mode-Coupling Equation for Colloids 2011 Phys. Rev. Lett.
Vol. 106, pp. 210602 
article DOI URL 
BibTeX:
@article{Jacquin2011_vol106,
  author = {Jacquin, Hugo and van Wijland, Frédéric},
  title = {Field-Theoretic Formulation of a Mode-Coupling Equation for Colloids},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2011},
  volume = {106},
  pages = {210602},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.106.210602},
  doi = {https://doi.org/10.1103/PhysRevLett.106.210602}
}
Polettini, M. Equivalence principle and critical behaviour for nonequilibrium decay modes 2011 arXiv  article  
BibTeX:
@article{Polettini2011_vol,
  author = {Polettini, M.},
  title = {Equivalence principle and critical behaviour for nonequilibrium decay modes},
  journal = {arXiv},
  year = {2011}
}
Rogers, D. and Rempe, S. A First and Second Law for Nonequilibrium Thermodynamics: Maximum Entropy Derivation of the Fluctuation-Dissipation Theorem and Entropy Production Functionals 2011 arXiv  article  
BibTeX:
@article{Rogers2011_vol,
  author = {Rogers, D. M. and Rempe, S. B.},
  title = {A First and Second Law for Nonequilibrium Thermodynamics: Maximum Entropy Derivation of the Fluctuation-Dissipation Theorem and Entropy Production Functionals},
  journal = {arXiv},
  year = {2011}
}
Dubi, Y. and Di Ventra, M. Colloquium : Heat flow and thermoelectricity in atomic and molecular junctions 2011 Rev. Mod. Phys.
Vol. 83, pp. 131-155 
article DOI URL 
BibTeX:
@article{Dubi2011_vol83,
  author = {Dubi, Yonatan and Di Ventra, Massimiliano},
  title = {Colloquium : Heat flow and thermoelectricity in atomic and molecular junctions},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {2011},
  volume = {83},
  pages = {131--155},
  url = {http://link.aps.org/doi/10.1103/RevModPhys.83.131},
  doi = {https://doi.org/10.1103/RevModPhys.83.131}
}
Kumar, N., Ramaswamy, S. and Sood, A.K. Symmetry Properties of the Large-Deviation Function of the Velocity of a Self-Propelled Polar Particle 2011 Phys. Rev. Lett.
Vol. 106, pp. 118001 
article DOI URL 
BibTeX:
@article{Kumar2011_vol106,
  author = {Kumar, N. and Ramaswamy, S. and Sood, A. K.},
  title = {Symmetry Properties of the Large-Deviation Function of the Velocity of a Self-Propelled Polar Particle},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2011},
  volume = {106},
  pages = {118001},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.106.118001},
  doi = {https://doi.org/10.1103/PhysRevLett.106.118001}
}
Nemoto, T. and Sasa, S.-i. Variational formula for experimental determination of high-order correlations of current fluctuations in driven systems 2011 Phys. Rev. E
Vol. 83, pp. 030105 
article DOI URL 
BibTeX:
@article{Nemoto2011_vol83,
  author = {Nemoto, Takahiro and Sasa, Shin-ichi},
  title = {Variational formula for experimental determination of high-order correlations of current fluctuations in driven systems},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2011},
  volume = {83},
  pages = {030105},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.83.030105},
  doi = {https://doi.org/10.1103/PhysRevE.83.030105}
}
Sánchez, R. and Büttiker, M. Optimal energy quanta to current conversion 2011 Phys. Rev. B
Vol. 83, pp. 085428 
article DOI URL 
BibTeX:
@article{Sanchez2011_vol83,
  author = {Sánchez, Rafael and Büttiker, Markus},
  title = {Optimal energy quanta to current conversion},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2011},
  volume = {83},
  pages = {085428},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.83.085428},
  doi = {https://doi.org/10.1103/PhysRevB.83.085428}
}
Seifert, U. Efficiency of Autonomous Soft Nanomachines at Maximum Power 2011 Phys. Rev. Lett.
Vol. 106, pp. 020601 
article DOI URL 
BibTeX:
@article{Seifert2011_vol106,
  author = {Seifert, Udo},
  title = {Efficiency of Autonomous Soft Nanomachines at Maximum Power},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2011},
  volume = {106},
  pages = {020601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.106.020601},
  doi = {https://doi.org/10.1103/PhysRevLett.106.020601}
}
Arthur, J.W. Understanding Geometric Algebra for Electromagnetic Theory 2011   book  
BibTeX:
@book{Arthur2011vol,
  author = {J. W. Arthur},
  title = {Understanding Geometric Algebra for Electromagnetic Theory},
  publisher = {IEEE Press Series on Electromagnetic WaveTheory},
  year = {2011}
}
Aurell, E., Mej\ia-Monasterio, C. and Muratore-Ginanneschi, P. Optimal Protocols and Optimal Transport in Stochastic Thermodynamics 2011 Phys. Rev. Lett.
Vol. 106, pp. 250601 
article DOI  
BibTeX:
@article{Aurell2011_vol106,
  author = {Aurell, E. and Mej\ia-Monasterio, C. and Muratore-Ginanneschi, P.},
  title = {Optimal Protocols and Optimal Transport in Stochastic Thermodynamics},
  journal = {Phys. Rev. Lett.},
  year = {2011},
  volume = {106},
  pages = {250601},
  doi = {https://doi.org/10.1103/PhysRevLett.106.250601}
}
van Beijeren, H. Statistical physics of systems out of equilibrium 2011   unpublished URL 
BibTeX:
@unpublished{Notes_Beijeren2011,
  author = {Henk van Beijeren},
  title = {Statistical physics of systems out of equilibrium},
  year = {2011},
  url = {http://www.staff.science.uu.nl/ beije101/outofeqseoul.htm}
}
ben-Avraham, D., Dorosz, S. and Pleimling, M. Realm of validity of the Crooks relation 2011 Phys. Rev. E
Vol. 83, pp. 041129 
article DOI URL 
BibTeX:
@article{Avraham2011_vol83,
  author = {ben-Avraham, D. and Dorosz, S. and Pleimling, M.},
  title = {Realm of validity of the Crooks relation},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2011},
  volume = {83},
  pages = {041129},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.83.041129},
  doi = {https://doi.org/10.1103/PhysRevE.83.041129}
}
Boksenbojm, E., Maes, C., Netocny, K. and Pesek, J. Heat capacity in nonequilibrium steady states 2011 arXiv  article URL 
BibTeX:
@article{Boksenbojm2011_vol,
  author = {Boksenbojm, E. and Maes, C. and Netocny, K. and Pesek, J.},
  title = {Heat capacity in nonequilibrium steady states},
  journal = {arXiv},
  year = {2011},
  url = {http://arxiv.org/abs/1109.3054v1}
}
Caillol, J.-M. Link between the hierarchical reference theory of liquids and a new version of the non-perturbative renormalization group in statistical field theory 2011 Molecular Physics: An International Journal at the Interface Between Chemistry and Physics
Vol. 109(23-24), pp. 2813-2822 
article  
BibTeX:
@article{Caillol2011_vol109,
  author = {Caillol, J.-M.},
  title = {Link between the hierarchical reference theory of liquids and a new version of the non-perturbative renormalization group in statistical field theory},
  journal = {Molecular Physics: An International Journal at the Interface Between Chemistry and Physics},
  year = {2011},
  volume = {109},
  number = {23-24},
  pages = {2813--2822}
}
Canet, L., Chaté, H. and Delamotte, B. General framework of the non-perturbative renormalization group for non-equilibrium steady states 2011 J. Phys. A: Math. Theor.
Vol. 44(49), pp. 495001 
article URL 
Abstract: This paper is devoted to presenting in detail the non-perturbative
renormalization group (NPRG) formalism to investigate out-of-equilibrium
systems and critical dynamics in statistical physics. The general NPRG
framework for studying non-equilibrium steady states in stochastic models is
expounded and fundamental technicalities are stressed, mainly regarding the
role of causality and of It IMG
[http://ej.iop.org/images/1751-8121/44/49/495001/jpa397742ieqn1.gif]
\rm o -™s discretization. We analyze the consequences of It
IMG [http://ej.iop.org/images/1751-8121/44/49/495001/jpa397742ieqn2.gif]
\rm o -™s prescription in the NPRG framework and eventually
provide an adequate regularization to encode them automatically. Besides, we
show how to build a supersymmetric NPRG formalism with emphasis on
time-reversal symmetric problems, whose supersymmetric structure allows for a
particularly simple implementation of NPRG in which causality issues are
transparent. We illustrate the two approaches on the example of Model A
within the derivative expansion approximation at order 2 and check that they
yield identical results. We stress, though, that the framework presented here
also applies to genuinely out-of-equilibrium problems.
BibTeX:
@article{Canet2011_vol44,
  author = {L¯Â¿Â½eonie Canet and Hugues Chaté and Bertrand Delamotte},
  title = {General framework of the non-perturbative renormalization group for non-equilibrium steady states},
  journal = {J. Phys. A: Math. Theor.},
  year = {2011},
  volume = {44},
  number = {49},
  pages = {495001},
  url = {http://stacks.iop.org/1751-8121/44/i=49/a=495001}
}
Chernyak, V.Y., Chertkov, M. and Sinitsyn, N.A. The geometric universality of currents 2011 J. Stat. Mech: Theory Exp.(09), pp. P09006  article DOI  
Abstract: We discuss a non-equilibrium statistical system on a graph or network.
Particles are injected, interact with each other, and traverse and leave the
graph in a stochastic manner. We show that under the assumption of constancy
of a subset of parameters, the system demonstrates the universality of the
statistics of the particle currents. In systems connected to a heat bath,
this universality leads to fluctuation relations that forbid distinguishing
stochastic currents in a strongly driven regime from the currents in
thermodynamic equilibrium. We apply this universality to enabling examples
from mesoscopic electronics and biochemistry.
BibTeX:
@article{Chernyak2011_vol2011,
  author = {Chernyak, V. Y. and Chertkov, M. and Sinitsyn, N. A.},
  title = {The geometric universality of currents},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2011},
  number = {09},
  pages = {P09006},
  doi = {https://doi.org/10.1088/1742-5468/2011/09/P09006}
}
Chétrite, R. and Gupta, S. Two Refreshing Views of Fluctuation Theorems Through Kinematics Elements and Exponential Martingale 2011 J. Stat. Phys.
Vol. 143(3), pp. 543-584 
article DOI  
Abstract: In the context of Markov evolution, we present two original approaches to
obtain Generalized Fluctuation-Dissipation Theorems (GFDT), by using the
language of stochastic derivatives and by using a family of exponential
martingales functionals. We show that GFDT are perturbative versions of
relations verified by these exponential martingales. Along the way, we prove
GFDT and Fluctuation Relations (FR) for general Markov processes, beyond the
usual proof for diffusion and pure jump processes. Finally, we relate the FR
to a family of backward and forward exponential martingales.
BibTeX:
@article{Chetrite2011_vol143,
  author = {Chétrite, R. and Gupta, S.},
  title = {Two Refreshing Views of Fluctuation Theorems Through Kinematics Elements and Exponential Martingale},
  journal = {J. Stat. Phys.},
  publisher = {Springer},
  year = {2011},
  volume = {143},
  number = {3},
  pages = {543--584},
  doi = {https://doi.org/10.1007/s10955-011-0184-0}
}
Colangeli, M., Maes, C. and Wynants, B. A meaningful expansion around detailed balance 2011 J. Phys. A: Math. Theor.
Vol. 44(9), pp. 095001 
article URL 
Abstract: We consider Markovian dynamics modelling open mesoscopic systems which are
driven away from detailed balance by a nonconservative force. A systematic
expansion is obtained of the stationary distribution around an equilibrium
reference, in orders of the nonequilibrium forcing. The first-order around
equilibrium has been known since the work of McLennan (1959 Phys. Rev. 115
1405?9), and involves the transient irreversible entropy flux. The expansion
generalizes the McLennan formula to higher orders, complementing the entropy
flux with the dynamical activity. The latter is more kinetic than
thermodynamic and is a possible realization of Landauer's insight (1975 Phys.
Rev. A 12 636?8) that, for nonequilibrium, the relative occupation of states
also depends on the noise along possible escape routes. In that way,
nonlinear response around equilibrium can be meaningfully discussed in terms
of two main quantities only, the entropy flux and the dynamical activity. The
expansion makes mathematical sense as shown in the simplest cases from
exponential ergodicity.
BibTeX:
@article{Colangeli2011_vol44,
  author = {Colangeli, M. and Maes, C. and Wynants, B.},
  title = {A meaningful expansion around detailed balance},
  journal = {J. Phys. A: Math. Theor.},
  year = {2011},
  volume = {44},
  number = {9},
  pages = {095001},
  url = {http://stacks.iop.org/1751-8121/44/i=9/a=095001}
}
Corberi, F., Gonnella, G. and Piscitelli, A. Heat exchanges in coarsening systems 2011 arXiv  article URL 
BibTeX:
@article{Corberi2011_vol,
  author = {Corberi, F. and Gonnella, G. and Piscitelli, A.},
  title = {Heat exchanges in coarsening systems},
  journal = {arXiv},
  year = {2011},
  url = {http://fr.arxiv.org/abs/1111.0448v1}
}
Daligault, J. Renormalized Kinetic Theory of Classical Fluids in and out of Equilibrium 2011 J. Stat. Phys.
Vol. 143(6), pp. 1189-1246 
review DOI URL 
BibTeX:
@review{Daligault2011_vol143,
  author = {Daligault, J�r�me},
  title = {Renormalized Kinetic Theory of Classical Fluids in and out of Equilibrium},
  journal = {J. Stat. Phys.},
  publisher = {Springer US},
  year = {2011},
  volume = {143},
  number = {6},
  pages = {1189--1246},
  url = {http://dx.doi.org/10.1007/s10955-011-0228-5},
  doi = {https://doi.org/10.1007/s10955-011-0228-5}
}
Derrida, B. Microscopic versus macroscopic approaches to non-equilibrium systems 2011 J. Stat. Mech: Theory Exp.
Vol. 2011(01), pp. P01030 
article URL 
Abstract: The one-dimensional symmetric simple exclusion process (SSEP) is one of the
very few exactly soluble models of non-equilibrium statistical physics. It
describes a system of particles which diffuse with hard core repulsion on a
one-dimensional lattice in contact with two reservoirs of particles at
unequal densities. The goal of this paper is to review the two main
approaches which lead to the exact expression of the large deviation
functional of the density of the SSEP in its steady state: a microscopic
approach (based on the matrix product ansatz and an additivity property) and
a macroscopic approach (based on the macroscopic fluctuation theory of
Bertini, De Sole, Gabrielli, Jona-Lasinio and Landim).
BibTeX:
@article{Derrida2011_vol2011,
  author = {Bernard Derrida},
  title = {Microscopic versus macroscopic approaches to non-equilibrium systems},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2011},
  volume = {2011},
  number = {01},
  pages = {P01030},
  url = {http://stacks.iop.org/1742-5468/2011/i=01/a=P01030}
}
Esposito, M. and den Broeck, C.V. Second law and Landauer principle far from equilibrium 2011 Europhys. Lett.
Vol. 95(4), pp. 40004 
article DOI URL 
Abstract: The amount of work that is needed to change the state of a system in contact
with a heat bath between specified initial and final nonequilibrium states is
at least equal to the corresponding equilibrium free energy difference plus
(respectively, minus ) temperature times the information of the final
(respectively, the initial) state relative to the corresponding equilibrium
distributions.
BibTeX:
@article{Esposito2011_vol95,
  author = {M. Esposito and C. Van den Broeck},
  title = {Second law and Landauer principle far from equilibrium},
  journal = {Europhys. Lett.},
  year = {2011},
  volume = {95},
  number = {4},
  pages = {40004},
  url = {http://stacks.iop.org/0295-5075/95/i=4/a=40004},
  doi = {https://doi.org/10.1209/0295-5075/95/40004}
}
Feng, H. and Wang, J. Potential and flux decomposition for dynamical systems and non-equilibrium thermodynamics: Curvature, gauge field, and generalized fluctuation-dissipation theorem 2011 J. Chem. Phys.
Vol. 135(23), pp. 234511 
article DOI URL 
BibTeX:
@article{Feng2011_vol135,
  author = {Haidong Feng and Jin Wang},
  title = {Potential and flux decomposition for dynamical systems and non-equilibrium thermodynamics: Curvature, gauge field, and generalized fluctuation-dissipation theorem},
  journal = {J. Chem. Phys.},
  publisher = {AIP},
  year = {2011},
  volume = {135},
  number = {23},
  pages = {234511},
  url = {http://link.aip.org/link/?JCP/135/234511/1},
  doi = {https://doi.org/10.1063/1.3669448}
}
Flego, S., Plastino, A. and Plastino, A. Legendre-transform structure derived from quantum theorems 2011 Physica A
Vol. 390(12), pp. 2276-2282 
article DOI URL 
Abstract: By recourse to (i) the Hellmann-Feynman theorem and (ii) the virial one, the
information-optimizing principle based on Fisher's information measure
uncovers a Legendre-transform structure associated with Schrödinger's
equation, in close analogy with the structure that lies behind the standard
thermodynamical formalism. The present developments provide new evidence for
the information theoretical links based on Fisher's measure that exist
between Schr�dinger's equation, on the one hand, and
thermodynamics/thermostatistics on the other hand.
BibTeX:
@article{Flego2011_vol390,
  author = {S.P. Flego and A. Plastino and A.R. Plastino},
  title = {Legendre-transform structure derived from quantum theorems},
  journal = {Physica A},
  year = {2011},
  volume = {390},
  number = {12},
  pages = {2276--2282},
  url = {http://www.sciencedirect.com/science/article/pii/S0378437111001452},
  doi = {https://doi.org/10.1016/j.physa.2011.02.019}
}
Friedrich, R. and Eule, S. Path Integral Formulation of Anomalous Diffusion Processes 2011 arXiv  article URL 
BibTeX:
@article{Friedrich2011_vol,
  author = {Friedrich, R. and Eule, S.},
  title = {Path Integral Formulation of Anomalous Diffusion Processes},
  journal = {arXiv},
  year = {2011},
  url = {http://arxiv.org/abs/1110.5771}
}
Fruleux, A., Kawai, R. and Sekimoto, K. Momentum transfer in non-equilibrium steady states 2011 arXiv  article  
BibTeX:
@article{Fruleux2011_vol,
  author = {Fruleux, A. and Kawai, R. and Sekimoto, K.},
  title = {Momentum transfer in non-equilibrium steady states},
  journal = {arXiv},
  year = {2011}
}
Gerschenfeld, A. and Derrida, B. Current fluctuations at a phase transition 2011 Europhys. Lett.
Vol. 96(2), pp. 20001 
article URL 
Abstract: The ABC model is a simple diffusive one-dimensional non-equilibrium system
which exhibits a phase transition. Here we show that the cumulants of the
currents of particles through the system become singular near the phase
transition. At the transition, they exhibit an anomalous dependence on the
system size (an anomalous Fourier's law). An effective theory for the
dynamics of the single mode which becomes unstable at the transition allows
one to predict this anomalous scaling.
BibTeX:
@article{Gerschenfeld2011_vol96,
  author = {A. Gerschenfeld and B. Derrida},
  title = {Current fluctuations at a phase transition},
  journal = {Europhys. Lett.},
  year = {2011},
  volume = {96},
  number = {2},
  pages = {20001},
  url = {http://stacks.iop.org/0295-5075/96/i=2/a=20001}
}
Giardina, C., Kurchan, J., Lecomte, V. and Tailleur, J. Simulating Rare Events in Dynamical Processes 2011 J. Stat. Phys.
Vol. 145(4), pp. 787-811 
article DOI URL 
BibTeX:
@article{Giardina2011_vol145,
  author = {Giardina, C. and Kurchan, J. and Lecomte, V. and Tailleur, J.},
  title = {Simulating Rare Events in Dynamical Processes},
  journal = {J. Stat. Phys.},
  publisher = {Springer US},
  year = {2011},
  volume = {145},
  number = {4},
  pages = {787--811},
  url = {http://dx.doi.org/10.1007/s10955-011-0350-4},
  doi = {https://doi.org/10.1007/s10955-011-0350-4}
}
Godr�che, C. Dynamics of the directed Ising chain 2011 J. Stat. Mech: Theory Exp.
Vol. 2011(04), pp. P04005 
article URL 
Abstract: The study by Glauber of the time-dependent statistics of the Ising chain is
extended to the case where each spin is influenced unequally by its nearest
neighbours. The asymmetry of the dynamics implies the failure of the detailed
balance condition. The functional form of the rate at which an individual
spin changes its state is constrained by the global balance condition with
respect to the equilibrium measure of the Ising chain. The local
magnetization, the equal-time and two-time correlation functions and the
linear response to an external magnetic field obey linear equations which are
solved explicitly. The behaviour of these quantities and the relation between
the correlation and response functions are analysed both in the stationary
state and in the zero-temperature scaling regime. In the stationary state, a
transition between two behaviours of the correlation function occurs when the
amplitude of the asymmetry crosses a critical value, with the consequence
that the limit fluctuation-dissipation ratio decays continuously from the
value 1, for the equilibrium state in the absence of asymmetry, to 0 for this
critical value. At zero temperature, under asymmetric dynamics, the system
loses its critical character, yet keeping many of the characteristic features
of a coarsening system.
BibTeX:
@article{Godreche2011_vol2011,
  author = {Claude Godr�che},
  title = {Dynamics of the directed Ising chain},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2011},
  volume = {2011},
  number = {04},
  pages = {P04005},
  url = {http://stacks.iop.org/1742-5468/2011/i=04/a=P04005}
}
Gomez-Solano, J., Petrosyan, A. and Ciliberto, S. Finite sampling effects on generalized fluctuation-dissipation relations for steady states 2011 J. Phys.: Conf. Ser.
Vol. 297(1), pp. 012006 
article URL 
Abstract: We study the effects of the finite number of experimental data on the
computation of a generalized fluctuation-dissipation relation around a
nonequilibrium steady state of a Brownian particle in a toroidal optical
trap. We show that the finite sampling has two different effects, which can
give rise to a poor estimate of the linear response function. The first
concerns the accessibility of the generalized fluctuation-dissipation
relation due to the finite number of actual perturbations imposed to the
control parameter. The second concerns the propagation of the error made at
the initial sampling of the external perturbation of the system. This can be
highly enhanced by introducing an estimator which corrects the error of the
initial sampled condition. When these two effects are taken into account in
the data analysis, the generalized fluctuation-dissipation relation is
verified experimentally.
BibTeX:
@article{Gomez-Solano2011_vol297,
  author = {Gomez-Solano, J.R. and Petrosyan, A. and Ciliberto, S.},
  title = {Finite sampling effects on generalized fluctuation-dissipation relations for steady states},
  journal = {J. Phys.: Conf. Ser.},
  year = {2011},
  volume = {297},
  number = {1},
  pages = {012006},
  url = {http://stacks.iop.org/1742-6596/297/i=1/a=012006}
}
Gomez-Solano, J.R., Petrosyan, A. and Ciliberto, S. Heat Fluctuations in a Nonequilibrium Bath 2011 Phys. Rev. Lett.
Vol. 106(20), pp. 200602 
article DOI  
BibTeX:
@article{Gomez-Solano2011_vol106,
  author = {Gomez-Solano, J. R. and Petrosyan, A. and Ciliberto, S.},
  title = {Heat Fluctuations in a Nonequilibrium Bath},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2011},
  volume = {106},
  number = {20},
  pages = {200602},
  doi = {https://doi.org/10.1103/PhysRevLett.106.200602}
}
Gomez-Solano, R. Nonequilibrium fluctuations of a Brownian particle 2011 School: cole Normale Sup�rieure de Lyon  phdthesis URL 
BibTeX:
@phdthesis{Phdthesis_Gomez-Solano2011,
  author = {Gomez-Solano, R.},
  title = {Nonequilibrium fluctuations of a Brownian particle},
  school = {cole Normale Sup�rieure de Lyon},
  year = {2011},
  url = {http://tel.archives-ouvertes.fr/index.php?halsid=epif6cpg46dg39p71s2m1bpp51&view_this_doc=tel-00648099&version=1}
}
Gorissen, M. and Vanderzande, C. Finite size scaling of current fluctuations in the totally asymmetric exclusion process 2011 J. Phys. A: Math. Theor.
Vol. 44(11), pp. 115005 
article URL 
Abstract: We study the fluctuations of the current J ( t ) of the totally asymmetric
exclusion process with open boundaries. Using a density matrix
renormalization group approach, we calculate the cumulant generating function
of the current. This function can be interpreted as a free energy for an
ensemble in which histories are weighted by exp?( ? sJ ( t )). We show that
in this ensemble the model has a first-order spacetime phase transition at s
= 0. We numerically determine the finite size scaling of the cumulant
generating function near this phase transition, both in the non-equilibrium
steady state and for large times.
BibTeX:
@article{Gorissen2011_vol44,
  author = {Mieke Gorissen and Carlo Vanderzande},
  title = {Finite size scaling of current fluctuations in the totally asymmetric exclusion process},
  journal = {J. Phys. A: Math. Theor.},
  year = {2011},
  volume = {44},
  number = {11},
  pages = {115005},
  url = {http://stacks.iop.org/1751-8121/44/i=11/a=115005}
}
Goupil, C., Seifert, W., Zabrocki, K., Müller, E. and Snyder, G.J. Thermodynamics of Thermoelectric Phenomena and Applications 2011 Entropy
Vol. 13(8), pp. 1481-1517 
article DOI URL 
Abstract: Fifty years ago, the optimization of thermoelectric devices was analyzed by
considering the relation between optimal performances and local entropy
production. Entropy is produced by the irreversible processes in
thermoelectric devices. If these processes could be eliminated, entropy
production would be reduced to zero, and the limiting Carnot efficiency or
coefficient of performance would be obtained. In the present review, we start
with some fundamental thermodynamic considerations relevant for
thermoelectrics. Based on a historical overview, we reconsider the
interrelation between optimal performances and local entropy production by
using the compatibility approach together with the thermodynamic arguments.
Using the relative current density and the thermoelectric potential, we show
that minimum entropy production can be obtained when the thermoelectric
potential is a specific, optimal value.
BibTeX:
@article{Goupil2011_vol13,
  author = {Goupil, Christophe and Seifert, Wolfgang and Zabrocki, Knud and Müller, Eckhart and Snyder, G. Jeffrey},
  title = {Thermodynamics of Thermoelectric Phenomena and Applications},
  journal = {Entropy},
  year = {2011},
  volume = {13},
  number = {8},
  pages = {1481--1517},
  url = {http://www.mdpi.com/1099-4300/13/8/1481},
  doi = {https://doi.org/10.3390/e13081481}
}
Goychuk, I. and Hänggi, P. Subdiffusive dynamics in washboard potentials: two different approaches and different universality classes 2011 arXiv  article URL 
BibTeX:
@article{Goychuk2011_vol,
  author = {Goychuk, I. and Hänggi, P.},
  title = {Subdiffusive dynamics in washboard potentials: two different approaches and different universality classes},
  journal = {arXiv},
  year = {2011},
  url = {http://arxiv.org/abs/1101.1812v2}
}
de Groot, S.R. and Mazur, P. Non-Equilibrium Thermodynamics 2011   book  
BibTeX:
@book{BookGroot2011,
  author = {de Groot, S. R. and Mazur, P.},
  title = {Non-Equilibrium Thermodynamics},
  publisher = {Dover Publications Inc., New York},
  year = {2011}
}
de Groot, S.R. and Mazur, P. Non-equilibrium thermodynamics 2011   book  
BibTeX:
@book{Groot2011vol,
  author = {de Groot, S. R. and Mazur, P.},
  title = {Non-equilibrium thermodynamics},
  publisher = {Dover Publications, inc., New York},
  year = {2011}
}
Guérin, T., Prost, J. and Joanny, J.F. Dynamical behavior of molecular motor assemblies in the rigid and crossbridge models 2011 The European Physical Journal E
Vol. 34(6), pp. 60 
article DOI URL 
Abstract: We present a detailed analysis of the dynamical instabilities appearing in
two kinetic theories for the collective behavior of molecular motors: the
rigid two-state model and the two-state crossbridge (or power-stroke) model
with continuous binding sites. We calculate force-velocity relations, discuss
their stability, plot a diagram that summarizes the oscillation regimes,
identify the location of the Hopf bifurcation with a memory effect, discuss
the oscillation frequency and make a link with single-molecule experiments.
We show that the instabilities present in these models naturally translate
into non-linearities in force-displacement relations, and at linear order
give forces that are similar to the delayed stretch activation observed in
oscillating muscles. We also find that instabilities can appear for both
apparent load-decelerated and load-accelerated detachment rates in a 3-state
crossbridge model.
BibTeX:
@article{Guerin2011_vol34,
  author = {Guérin, T. and Prost, J. and Joanny, J. -F.},
  title = {Dynamical behavior of molecular motor assemblies in the rigid and crossbridge models},
  journal = {The European Physical Journal E},
  year = {2011},
  volume = {34},
  number = {6},
  pages = {60},
  url = {http://dx.doi.org/10.1140/epje/i2011-11060-5},
  doi = {https://doi.org/10.1140/epje/i2011-11060-5}
}
Hanel, R. and Thurner, S. When do generalized entropies apply? How phase space volume determines entropy 2011 Europhys. Lett.
Vol. 96(5), pp. 50003 
article URL 
Abstract: We show how the dependence of phase space volume omega( N ) on system size N
uniquely determines the extensive entropy of a classical system. We give a
concise criterion when this entropy is not of Boltzmann-Gibbs type but has to
assume a generalized (non-additive) form. We show that generalized entropies
can only exist when the dynamically (statistically) relevant fraction of
degrees of freedom in the system vanishes in the thermodynamic limit. These
are systems where the bulk of the degrees of freedom is frozen and
statistically inactive. Systems governed by generalized entropies are
therefore systems whose phase space volume effectively collapses to a
lower-dimensional "surface". We illustrate these results in three concrete
examples: accelerating random walks, a microcanonical spin system on networks
and constrained binomial processes. These examples suggest that a wide class
of systems with "surface-dominant" statistics might in fact require
generalized entropies, including self-organized critical systems such as
sandpiles, anomalous diffusion, and systems with topological defects such as
vortices, domains, or instantons.
BibTeX:
@article{Hanel2011_vol96,
  author = {R. Hanel and S. Thurner},
  title = {When do generalized entropies apply? How phase space volume determines entropy},
  journal = {Europhys. Lett.},
  year = {2011},
  volume = {96},
  number = {5},
  pages = {50003},
  url = {http://stacks.iop.org/0295-5075/96/i=5/a=50003}
}
Hestenes, D. The Shape of Differential Geometry in Geometric Calculus 2011 Guide to Geometric Algebra in Practice, pp. 393-410  incollection DOI  
BibTeX:
@incollection{Hestenes2011vol,
  author = {David Hestenes},
  title = {The Shape of Differential Geometry in Geometric Calculus},
  booktitle = {Guide to Geometric Algebra in Practice},
  publisher = {Springer London},
  year = {2011},
  pages = {393--410},
  doi = {https://doi.org/10.1007/978-0-85729-811-9_19}
}
Hurtado, P.I., P�rez-Espigares, C., del Pozo, J.J. and Garrido, P.L. Symmetries in fluctuations far from equilibrium 2011 Proc. Natl. Acad. Sci. U.S.A.  article DOI URL 
Abstract: Fluctuations arise universally in nature as a reflection of the discrete
microscopic world at the macroscopic level. Despite their apparent noisy
origin, fluctuations encode fundamental aspects of the physics of the system
at hand, crucial to understand irreversibility and nonequilibrium behavior.
To sustain a given fluctuation, a system traverses a precise optimal path in
phase space. Here we show that by demanding invariance of optimal paths under
symmetry transformations, new and general fluctuation relations valid
arbitrarily far from equilibrium are unveiled. This opens an unexplored route
toward a deeper understanding of nonequilibrium physics by bringing symmetry
principles to the realm of fluctuations. We illustrate this concept studying
symmetries of the current distribution out of equilibrium. In particular we
derive an isometric fluctuation relation that links in a strikingly simple
manner the probabilities of any pair of isometric current fluctuations. This
relation, which results from the time-reversibility of the dynamics, includes
as a particular instance the Gallavotti?Cohen fluctuation theorem in this
context but adds a completely new perspective on the high level of symmetry
imposed by time-reversibility on the statistics of nonequilibrium
fluctuations. The new symmetry implies remarkable hierarchies of equations
for the current cumulants and the nonlinear response coefficients, going far
beyond Onsager?s reciprocity relations and Green?Kubo formulas. We confirm
the validity of the new symmetry relation in extensive numerical simulations,
and suggest that the idea of symmetry in fluctuations as invariance of
optimal paths has far-reaching consequences in diverse fields.
BibTeX:
@article{Hurtado2011_vol,
  author = {Hurtado, Pablo I. and P�rez-Espigares, Carlos and del Pozo, Jes�s J. and Garrido, Pedro L.},
  title = {Symmetries in fluctuations far from equilibrium},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  year = {2011},
  url = {http://www.pnas.org/content/early/2011/04/12/1013209108.abstract},
  doi = {https://doi.org/10.1073/pnas.1013209108}
}
Jarzynski, C. Equalities and inequalities: irreversibility and the second law of thermodynamics at the nanoscale 2011
Vol. 2, pp. 329-351 
article DOI  
Abstract: The reason we never observe violations of the second law of thermodynamics is
in part a matter of statistics: When similar to 10(23) degrees of freedom are
involved, the odds are overwhelmingly stacked against the possibility of
seeing significant deviations away from the mean behavior. As we turn our
attention to smaller systems, however, statistical fluctuations become more
prominent. In recent years it has become apparent that the fluctuations of
systems far from thermal equilibrium are not mere background noise, but
satisfy strong, useful, and unexpected properties. In particular, a proper
accounting of fluctuations allows us to rewrite familiar inequalities of
macroscopic thermodynamics as equalities. This review describes some of this
progress, and argues that it has refined our understanding of irreversibility
and the second law.
BibTeX:
@article{Jarzynski2011_vol2,
  author = {Jarzynski, Christopher},
  title = {Equalities and inequalities: irreversibility and the second law of thermodynamics at the nanoscale},
  publisher = {ANNUAL REVIEWS},
  year = {2011},
  volume = {2},
  pages = {329--351},
  doi = {https://doi.org/10.1146/annurev-conmatphys-062910-140506}
}
Jauregui, M. and Tsallis, C. q-Generalization of the inverse Fourier transform 2011 Phys. Lett. A
Vol. 375(21), pp. 2085-2088 
article DOI URL 
Abstract: A wide class of physical distributions appears to follow the q-Gaussian form,
which plays the role of attractor according to a q-generalized Central Limit
Theorem, where a q-generalized Fourier transform plays an important role. We
introduce here a method which determines a distribution from the knowledge of
its q-Fourier transform and some supplementary information. This procedure
involves a recently q-generalized representation of the Dirac delta and the
class of functions on which it acts. The present method conveniently extends
the inverse of the standard Fourier transform, and is therefore expected to
be very useful in the study of many complex systems.
BibTeX:
@article{Jauregui2011_vol375,
  author = {M. Jauregui and C. Tsallis},
  title = {q-Generalization of the inverse Fourier transform},
  journal = {Phys. Lett. A},
  year = {2011},
  volume = {375},
  number = {21},
  pages = {2085--2088},
  url = {http://www.sciencedirect.com/science/article/pii/S0375960111004762},
  doi = {https://doi.org/10.1016/j.physleta.2011.04.014}
}
Knuth, K.H. Information Physics: The New Frontier 2011 AIP Conf. Proc.
Vol. 1305(1), pp. 3-19 
article DOI URL 
BibTeX:
@article{Knuth2011_vol1305,
  author = {Knuth, K. H.},
  title = {Information Physics: The New Frontier},
  journal = {AIP Conf. Proc.},
  year = {2011},
  volume = {1305},
  number = {1},
  pages = {3--19},
  url = {http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.3573644},
  doi = {https://doi.org/10.1063/1.3573644}
}
Kobayashi, K. and Yamanaka, Y. Extension of Nelson's stochastic quantization to finite temperature using thermo field dynamics 2011 Phys. Lett. A
Vol. 375(37), pp. 3243-3249 
article DOI URL 
Abstract: We present an extension of Nelson's stochastic quantum mechanics to finite
temperature. Utilizing the formulation of Thermo Field Dynamics (TFD), we can
show that Ito's stochastic equations for tilde and non-tilde particle
positions reproduce the TFD-type Schrödinger equation which is equivalent
to the Liouville-von Neumann equation. In our formalism, the drift terms in
the Ito's stochastic equation have the temperature dependence and the thermal
fluctuation is induced through the correlation of the non-tilde and tilde
particles. We show that our formalism satisfies the position-momentum
uncertainty relation at finite temperature.
BibTeX:
@article{Kobayashi2011_vol375,
  author = {K. Kobayashi and Y. Yamanaka},
  title = {Extension of Nelson's stochastic quantization to finite temperature using thermo field dynamics},
  journal = {Phys. Lett. A},
  year = {2011},
  volume = {375},
  number = {37},
  pages = {3243--3249},
  url = {http://www.sciencedirect.com/science/article/pii/S0375960111008784},
  doi = {https://doi.org/10.1016/j.physleta.2011.07.020}
}
Krapivsky, P. and Mallick, K. Diffusion and Multiplication in Random Media 2011 J. Stat. Mech: Theory Exp.  article URL 
BibTeX:
@article{Krapivsky2010_vol,
  author = {Krapivsky, P. L. and Mallick, K.},
  title = {Diffusion and Multiplication in Random Media},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2011},
  url = {http://arxiv.org/abs/1011.6276}
}
Kundu, A., Sabhapandit, S. and Dhar, A. Application of importance sampling to the computation of large deviations in nonequilibrium processes 2011 Phys. Rev. E
Vol. 83, pp. 031119 
article DOI URL 
BibTeX:
@article{Kundu2011_vol83,
  author = {Kundu, A. and Sabhapandit, S. and Dhar, A.},
  title = {Application of importance sampling to the computation of large deviations in nonequilibrium processes},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2011},
  volume = {83},
  pages = {031119},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.83.031119},
  doi = {https://doi.org/10.1103/PhysRevE.83.031119}
}
Kundu, A., Sabhapandit, S. and Dhar, A. Large deviations of heat flow in harmonic chains 2011 J. Stat. Mech: Theory Exp.(03), pp. P03007  article URL 
BibTeX:
@article{Kundu2011_vol2011,
  author = {A. Kundu and S. Sabhapandit and A. Dhar},
  title = {Large deviations of heat flow in harmonic chains},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2011},
  number = {03},
  pages = {P03007},
  url = {http://stacks.iop.org/1742-5468/2011/i=03/a=P03007}
}
Lacoste, D. and Mallick, K. Fluctuation Relations for Molecular Motors 2011 Progress in Mathematical Physics
Vol. 60Biological Physics 
article DOI URL 
BibTeX:
@article{Lacoste2011_vol60,
  author = {Lacoste, D. and Mallick, K.},
  title = {Fluctuation Relations for Molecular Motors},
  booktitle = {Biological Physics},
  journal = {Progress in Mathematical Physics},
  publisher = {Springer Basel},
  year = {2011},
  volume = {60},
  url = {http://dx.doi.org/10.1007/978-3-0346-0428-4_4},
  doi = {https://doi.org/10.1007/978-3-0346-0428-4_4}
}
Lakshmanan, M. The fascinating world of the Landau–Lifshitz–Gilbert equation: an overview 2011 Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences
Vol. 369(1939), pp. 1280-1300 
article DOI  
Abstract: M. Lakshmanan*Centre for Nonlinear Dynamics, Department of Physics,
Bharathidasan University, Tiruchirapalli 620 024, India
*lakshmanatcnld.bdu.ac.inAbstract The
Landau–Lifshitz–Gilbert (LLG) equation is a
fascinating nonlinear evolution equation both from mathematical and physical
points of view. It is related to the dynamics of several important physical
systems such as ferromagnets, vortex filaments, moving space curves, etc. and
has intimate connections with many of the well-known integrable soliton
equations, including nonlinear Schrödinger and sine-Gordon equations. It
can admit very many dynamical structures including spin waves, elliptic
function waves, solitons, dromions, vortices, spatio-temporal patterns,
chaos, etc. depending on the physical and spin dimensions and the nature of
interactions. An exciting recent development is that the spin torque effect
in nanoferromagnets is described by a generalization of the LLG equation that
forms a basic dynamical equation in the field of spintronics. This article
will briefly review these developments as a tribute to Robin Bullough who was
a great admirer of the LLG equation. LLG equationspin
systemsintegrabilitychaos and patternsThis journal is textcopyright 2011
The Royal Society
BibTeX:
@article{Lakshmanan2011_vol369,
  author = {Lakshmanan, M.},
  title = {The fascinating world of the Landau–Lifshitz–Gilbert equation: an overview},
  journal = {Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences},
  publisher = {The Royal Society},
  year = {2011},
  volume = {369},
  number = {1939},
  pages = {1280--1300},
  doi = {https://doi.org/10.1098/rsta.2010.0319}
}
Lazarescu, A. and Mallick, K. An exact formula for the statistics of the current in the TASEP with open boundaries 2011 J. Phys. A: Math. Theor.
Vol. 44(31), pp. 315001 
article URL 
Abstract: We study the totally asymmetric exclusion process on a finite one-dimensional
lattice with open boundaries, i.e. in contact with two reservoirs at
different potentials. The total (time-integrated) current through the system
is a random variable that scales linearly with time in the long-time limit.
We conjecture a parametric representation for the generating function of the
cumulants of the current, which is related to the large deviation function by
Laplace transform. This formula is valid for all system sizes and for all
values of the boundary coupling parameters.
BibTeX:
@article{Lazarescu2011_vol44,
  author = {Alexandre Lazarescu and Kirone Mallick},
  title = {An exact formula for the statistics of the current in the TASEP with open boundaries},
  journal = {J. Phys. A: Math. Theor.},
  year = {2011},
  volume = {44},
  number = {31},
  pages = {315001},
  url = {http://stacks.iop.org/1751-8121/44/i=31/a=315001}
}
Maes, C., Netocný, K. and Wynants, B. Monotonic Return to Steady Nonequilibrium 2011 Phys. Rev. Lett.
Vol. 107, pp. 010601 
article DOI  
BibTeX:
@article{Maes2011_vol107,
  author = {Maes, C. and Netocný, K. and Wynants, B.},
  title = {Monotonic Return to Steady Nonequilibrium},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2011},
  volume = {107},
  pages = {010601},
  doi = {https://doi.org/10.1103/PhysRevLett.107.010601}
}
Mallick, K. Some Exact Results for the Exclusion Process 2011 J. Stat. Mech: Theory Exp., pp. P01024  article URL 
BibTeX:
@article{Mallick2011_vol,
  author = {Mallick, K.},
  title = {Some Exact Results for the Exclusion Process},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2011},
  pages = {P01024},
  url = {http://arxiv.org/abs/1101.2849}
}
Michel, G. Two sides of the fluctuation theorem 2011 School: ENS  mastersthesis  
BibTeX:
@mastersthesis{Michel2011_vol,
  author = {Michel, G.},
  title = {Two sides of the fluctuation theorem},
  school = {ENS},
  year = {2011}
}
Monthus, C. Non-equilibrium steady states: maximization of the Shannon entropy associated with the distribution of dynamical trajectories in the presence of constraints 2011 J. Stat. Mech: Theory Exp.(03), pp. P03008  article URL 
Abstract: Filyokov and Karpov (1967 Inzh.-Fiz.�Zh. 13 624) have proposed a theory of
non-equilibrium steady states in direct analogy with the theory of
equilibrium states: the principle is to maximize the Shannon entropy
associated with the probability distribution of dynamical trajectories in the
presence of constraints, including the macroscopic current of interest, via
the method of Lagrange multipliers. This maximization leads directly to the
generalized Gibbs distribution for the probability distribution of dynamical
trajectories, and to some fluctuation relation of the integrated current. The
simplest stochastic dynamics where these ideas can be applied are
discrete-time Markov chains, defined by transition probabilities W_i
j between configurations i and j : instead of choosing the dynamical rules
W_i to j�a priori , one determines the transition probabilities and
the associate stationary state that maximize the entropy of dynamical
trajectories with the other physical constraints that one wishes to impose.
We give a self-contained and unified presentation of this type of approach,
both for discrete-time Markov chains and for continuous-time master
equations. The obtained results are in full agreement with the Bayesian
approach introduced by Evans (2004 Phys.�Rev.�Lett.�92�150601) under
the name 'Non-equilibrium Counterpart to detailed balance', and with the
'invariant quantities' derived by Baule and Evans (2008
Phys.�Rev.�Lett.�101 240601), but provide a slightly different
perspective via the formulation in terms of an eigenvalue problem.
BibTeX:
@article{Monthus2011_vol2011,
  author = {C�cile Monthus},
  title = {Non-equilibrium steady states: maximization of the Shannon entropy associated with the distribution of dynamical trajectories in the presence of constraints},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2011},
  number = {03},
  pages = {P03008},
  url = {http://stacks.iop.org/1742-5468/2011/i=03/a=P03008}
}
Nadal, C. and Majumdar, S.N. A simple derivation of the Tracy?Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix 2011 J. Stat. Mech: Theory Exp.(04), pp. P04001  article URL 
Abstract: In this paper, we first briefly review some recent results on the
distribution of the maximal eigenvalue of an ( N � N ) random matrix drawn
from Gaussian ensembles. Next we focus on the Gaussian unitary ensemble (GUE)
and by suitably adapting a method of orthogonal polynomials developed by
Gross and Matytsin in the context of Yang?Mills theory in two dimensions, we
provide a rather simple derivation of the Tracy?Widom law for GUE. Our
derivation is based on the elementary asymptotic scaling analysis of a pair
of coupled nonlinear recursion relations. As an added bonus, this method also
allows us to compute the precise subleading terms describing the right large
deviation tail of the maximal eigenvalue distribution. In the Yang?Mills
language, these subleading terms correspond to non-perturbative (in 1/ N
expansion) corrections to the two-dimensional partition function in the so
called 'weak' coupling regime.
BibTeX:
@article{Nadal2011_vol,
  author = {Nadal, C and Majumdar, S. N.},
  title = {A simple derivation of the Tracy?Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2011},
  number = {04},
  pages = {P04001},
  url = {http://stacks.iop.org/1742-5468/2011/i=04/a=P04001}
}
Nickelsen, D. and Engel, A. Asymptotics of work distributions: the pre-exponential factor 2011 Eur. Phys. J. B
Vol. 82, pp. 207-218 
article DOI URL 
BibTeX:
@article{Nickelsen2011_vol82,
  author = {Nickelsen, D. and Engel, A.},
  title = {Asymptotics of work distributions: the pre-exponential factor},
  journal = {Eur. Phys. J. B},
  publisher = {Springer-Verlag},
  year = {2011},
  volume = {82},
  pages = {207--218},
  url = {http://dx.doi.org/10.1140/epjb/e2011-20133-y},
  doi = {https://doi.org/10.1140/epjb/e2011-20133-y}
}
Peliti, L. Statistical Mechanics in a Nutshell 2011 (0691145296)  book  
BibTeX:
@book{Book_Peliti2011,
  author = {L. Peliti},
  title = {Statistical Mechanics in a Nutshell},
  publisher = {Princeton University Press, Princeton, New Jersey},
  year = {2011},
  number = {0691145296}
}
Sabhapandit, S. Work fluctuations for a harmonic oscillator driven by an external random force 2011 Europhys. Lett.
Vol. 96(2), pp. 20005 
article URL 
Abstract: The fluctuations of the work done by an external Gaussian random force on a
harmonic oscillator that is also in contact with a thermal bath are studied.
We have obtained the exact large deviation function as well as the complete
asymptotic forms of the probability density function. The distribution of the
work done is found to be non-Gaussian. The steady-state fluctuation theorem
holds only if the ratio of the variances, of the external random forcing and
the thermal noise, respectively, is less than 1/3. On the other hand, the
transient fluctuation theorem holds (asymptotically) for all the values of
that ratio. The theoretical asymptotic forms of the probability density
function are in very good agreement with the numerics as well as with an
experiment.
BibTeX:
@article{Sabhapandit2011_vol96,
  author = {Sanjib Sabhapandit},
  title = {Work fluctuations for a harmonic oscillator driven by an external random force},
  journal = {Europhys. Lett.},
  year = {2011},
  volume = {96},
  number = {2},
  pages = {20005},
  url = {http://stacks.iop.org/0295-5075/96/i=2/a=20005}
}
Seifert, U. Stochastic thermodynamics of single enzymes and molecular motors 2011 Eur. Phys. J. E
Vol. 34 
article DOI  
BibTeX:
@article{Seifert2010_vola,
  author = {Seifert, U.},
  title = {Stochastic thermodynamics of single enzymes and molecular motors},
  journal = {Eur. Phys. J. E},
  year = {2011},
  volume = {34},
  doi = {https://doi.org/10.1140/epje/i2011-11026-7}
}
Shirokov, D.S. Concepts of trace, determinant and inverse of Clifford algebra elements 2011   article URL 
BibTeX:
@article{Shirokov2011vol,
  author = {Dmitry Sergeevich Shirokov},
  title = {Concepts of trace, determinant and inverse of Clifford algebra elements},
  year = {2011},
  url = {https://arxiv.org/abs/1108.5447}
}
Simha, A. and Evans, R.M.L. An Addendum to ``Detailed Balance has a Counterpart in Nonequilibrium Steady States'' 2011 Transp. Theory Stat. Phys.
Vol. 40(5), pp. 304-309 
article DOI URL 
Abstract: Transition rates in continuously driven steady states (relevant to sheared
complex fluids) were derived in Evans (2004, 2005) by demanding that no
information other than the microscopic laws of motion and the macroscopic
observables of the system be used to describe it. This implies that the
(nonequilibrium) reservoir, to which the system is weakly coupled, is fully
characterized by its mean energy and mean flux. While we expect the resulting
prescription for the rates in continuous- and discretized-time models to be
equivalent, it is not trivial to see this from the expression for the rates
derived in Evans (2005). We demonstrate this equivalence for a model of
activated processes solved previously for continuous time (Evans 2005), thus
demonstrating consistency of the theory.
BibTeX:
@article{Simha2011_vol40,
  author = {Simha, A. and Evans, R. M. L.},
  title = {An Addendum to ``Detailed Balance has a Counterpart in Nonequilibrium Steady States''},
  journal = {Transp. Theory Stat. Phys.},
  year = {2011},
  volume = {40},
  number = {5},
  pages = {304--309},
  url = {http://dx.doi.org/10.1080/00411450.2011.629710},
  doi = {https://doi.org/10.1080/00411450.2011.629710}
}
Sinitsyn, N.A. Fluctuation relation for heat engines 2011 J. Phys. A: Math. Theor.
Vol. 44(40), pp. 405001 
article URL 
Abstract: We derive the exact equality, referred to as the fluctuation relation for
heat engines (FRHE), that relates statistics of heat extracted from one of
the two heat baths and the work per one cycle of a heat engine operation.
Carnot's inequality of classical thermodynamics follows as a direct
consequence of the FRHE.
BibTeX:
@article{Sinitsyn2011_vol44,
  author = {N. A. Sinitsyn},
  title = {Fluctuation relation for heat engines},
  journal = {J. Phys. A: Math. Theor.},
  year = {2011},
  volume = {44},
  number = {40},
  pages = {405001},
  url = {http://stacks.iop.org/1751-8121/44/i=40/a=405001}
}
Smith, E. Large-deviation principles, stochastic effective actions, path entropies, and the structure and meaning of thermodynamic descriptions 2011 Rep. Prog. Phys.
Vol. 74(4), pp. 046601 
article URL 
Abstract: The meaning of thermodynamic descriptions is found in large-deviations
scaling (Ellis 1985 Entropy, Large Deviations, and Statistical Mechanics (New
York: Springer); Touchette 2009 Phys. Rep. 478 1?69) of the probabilities for
fluctuations of averaged quantities. The central function expressing
large-deviations scaling is the entropy, which is the basis both for
fluctuation theorems and for characterizing the thermodynamic interactions of
systems. Freidlin?Wentzell theory (Freidlin and Wentzell 1998 Random
Perturbations in Dynamical Systems 2nd edn (New York: Springer)) provides a
quite general formulation of large-deviations scaling for non-equilibrium
stochastic processes, through a remarkable representation in terms of a
Hamiltonian dynamical system. A number of related methods now exist to
construct the Freidlin?Wentzell Hamiltonian for many kinds of stochastic
processes; one method due to Doi ( 1976 J. Phys. A: Math. Gen.
[/0305-4470/9/9/008] 9 1465?78 ; 1976 J. Phys. A: Math. Gen.
[/0305-4470/9/9/009] 9 1479 ) and Peliti (1985 J. Physique 46 1469; 1986 J.
Phys. A: Math. Gen. [/0305-4470/19/6/012] 19 L365 , appropriate to integer
counting statistics, is widely used in reaction?diffusion theory. Using these
tools together with a path-entropy method due to Jaynes (1980 Annu. Rev.
Phys. Chem. 31 579?601), this review shows how to construct entropy functions
that both express large-deviations scaling of fluctuations, and describe
system?environment interactions, for discrete stochastic processes either at
or away from equilibrium. A collection of variational methods familiar within
quantum field theory, but less commonly applied to the Doi?Peliti
construction, is used to define a 'stochastic effective action', which is the
large-deviations rate function for arbitrary non-equilibrium paths. We show
how common principles of entropy maximization, applied to different ensembles
of states or of histories, lead to different entropy functions and different
sets of thermodynamic state variables. Yet the relations among all these
levels of description may be constructed explicitly and understood in terms
of information conditions. Although the example systems considered are
limited, they are meant to provide a self-contained introduction to methods
that may be used to systematically construct descriptions with all the
features familiar from equilibrium thermodynamics, for a much wider range of
systems describable by stochastic processes.
BibTeX:
@article{Smith2011_vol74,
  author = {Smith, E.},
  title = {Large-deviation principles, stochastic effective actions, path entropies, and the structure and meaning of thermodynamic descriptions},
  journal = {Rep. Prog. Phys.},
  year = {2011},
  volume = {74},
  number = {4},
  pages = {046601},
  url = {http://stacks.iop.org/0034-4885/74/i=4/a=046601}
}
Speck, T. and Garrahan, J.P. Space-time phase transitions in driven kinetically constrained lattice models 2011 Eur. Phys. J. B
Vol. 79(1), pp. 1-6 
article DOI URL 
BibTeX:
@article{Speck2011_vol79,
  author = {Speck, T. and Garrahan, J. P.},
  title = {Space-time phase transitions in driven kinetically constrained lattice models},
  journal = {Eur. Phys. J. B},
  publisher = {Springer-Verlag},
  year = {2011},
  volume = {79},
  number = {1},
  pages = {1--6},
  url = {http://dx.doi.org/10.1140/epjb/e2010-10800-x},
  doi = {https://doi.org/10.1140/epjb/e2010-10800-x}
}
Touchette, H. Ensemble equivalence for general many-body systems 2011 Europhys. Lett.
Vol. 96(5), pp. 50010 
article URL 
Abstract: It has been proved for a class of mean-field and long-range systems that the
concavity of the thermodynamic entropy determines whether the microcanonical
and canonical ensembles are equivalent at the level of their equilibrium
states, i.e. , whether they give rise to the same equilibrium states. Here we
show that this correspondence is actually a general result of statistical
mechanics: it holds for any many-body system for which equilibrium states can
be defined and in principle calculated. The same correspondence applies for
other dual statistical ensembles, such as the canonical and grand-canonical
ensembles.
BibTeX:
@article{Touchette2011_vol96,
  author = {H. Touchette},
  title = {Ensemble equivalence for general many-body systems},
  journal = {Europhys. Lett.},
  year = {2011},
  volume = {96},
  number = {5},
  pages = {50010},
  url = {http://stacks.iop.org/0295-5075/96/i=5/a=50010}
}
Tsekouras, K., Lacoste, D., Mallick, K. and Joanny, J.-F. Force generation by a parallel array of actin filaments 2011 arXiv  article URL 
BibTeX:
@article{Tsekouras2011_vol,
  author = {Tsekouras, K. and Lacoste, D. and Mallick, K. and Joanny, J.-F.},
  title = {Force generation by a parallel array of actin filaments},
  journal = {arXiv},
  year = {2011},
  url = {http://arxiv.org/abs/1101.1180}
}
Turci, F. and Pitard, E. Large deviations and heterogeneities in a driven kinetically constrained model 2011 Europhys. Lett.
Vol. 94(1), pp. 10003 
article URL 
Abstract: Kinetically Constrained Models (KCMs) have been widely studied in the context
of glassy dynamics, focusing on the influence of dynamical constraints on the
slowing-down of the dynamics of a macroscopic system. In these models, it has
been shown using the thermodynamic formalism for histories, that there is a
coexistence between an active and an inactive phase. This coexistence can be
described by a first-order transition, and a related discontinuity in the
derivative of the large-deviation function for the activity. We show that
adding a driving field to a KCM model does not destroy this first-order
transition for the activity. Moreover, a singularity is also found in the
large-deviation function of the current at large fields. We relate for the
first time this property to microscopic structures, in particular the
heterogeneous, intermittent dynamics of the particles, transient
shear-banding and blocking walls. We describe both the shear-thinning and the
shear-thickening regimes, and find that the behaviour of the current is well
reproduced by a simple model.
BibTeX:
@article{Turci2011_vol94,
  author = {F. Turci and E. Pitard},
  title = {Large deviations and heterogeneities in a driven kinetically constrained model},
  journal = {Europhys. Lett.},
  year = {2011},
  volume = {94},
  number = {1},
  pages = {10003},
  url = {http://stacks.iop.org/0295-5075/94/i=1/a=10003}
}
Verley, G., Chétrite, R. and Lacoste, D. Modified fluctuation-dissipation theorem for general non-stationary states and application to the Glauber-Ising chain 2011 J. Stat. Mech: Theory Exp.
Vol. 10, pp. P10025 
article DOI URL 
Abstract: In this paper, we present a general derivation of a modified
fluctuation-dissipation theorem (MFDT) valid near an arbitrary non-stationary
state for a system obeying Markovian dynamics. We show that the method for
deriving modified fluctuation-dissipation theorems near non-equilibrium
stationary states used by Prost et al (2009 Phys. Rev. Lett. 103 090601) is
generalizable to non-stationary states. This result follows from both
standard linear response theory and from a transient fluctuation theorem,
analogous to the Hatano?Sasa relation. We show that this modified
fluctuation-dissipation theorem can be interpreted at the trajectory level
using the notion of stochastic trajectory entropy, in a way which is similar
to what has been done recently in the case of the MFDT near non-equilibrium
steady states (NESS). We illustrate this framework with two solvable
examples: the first example corresponds to a Brownian particle in a harmonic
trap subjected to a quench of temperature and to a time-dependent stiffness;
the second example is a classic model of coarsening systems, namely the 1D
Ising model with Glauber dynamics.
BibTeX:
@article{Verley2011_vol10,
  author = {Verley, G. and Chétrite, R. and Lacoste, D.},
  title = {Modified fluctuation-dissipation theorem for general non-stationary states and application to the Glauber-Ising chain},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2011},
  volume = {10},
  pages = {P10025},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2011_vol10.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2011_vol10.pdf},
  doi = {https://doi.org/10.1088/1742-5468/2011/10/P10025}
}
Verley, G. and Lacoste, D. Fluctuation relations and fluctuation-response for molecular motors 2011
Vol. 1332AIP Conf. Proc., pp. 247-248 
inproceedings DOI URL 
Abstract: Fluctuation relations are a set of remarkable relations obeyed by a large
class of systems and arbitrarily far from equilibrium. It is interesting to
discuss the implications of these relations for molecular motors, which are
chemically driven enzymes. These enzymes operate stochastically at the
molecular level and for these reasons undergo large thermal fluctuations.
Using simple ratchet models of molecular motors, the various forms of
fluctuation relations can be illustrated in a simple way. In the linear
regime, finite time fluctuation relations imply specific modified
fluctuation-dissipation relations.
BibTeX:
@inproceedings{Verley2011_vol1332,
  author = {Verley, G. and Lacoste, D.},
  title = {Fluctuation relations and fluctuation-response for molecular motors},
  booktitle = {AIP Conf. Proc.},
  year = {2011},
  volume = {1332},
  pages = {247--248},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2011_vol1332.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2011_vol1332.pdf},
  doi = {https://doi.org/10.1063/1.3569518}
}
Verley, G., Mallick, K. and Lacoste, D. Modified fluctuation-dissipation theorem for non-equilibrium steady states and applications to molecular motors 2011 Europhys. Lett.
Vol. 93, pp. 10002 
article DOI URL 
Abstract: We present a theoretical framework to understand a modified
fluctuation-dissipation theorem valid for systems close to non-equilibrium
steady states and obeying Markovian dynamics. We discuss the interpretation
of this result in terms of trajectory entropy excess. The framework is
illustrated on a simple pedagogical example of a molecular motor. We also
derive in this context generalized Green-Kubo relations similar to the ones
obtained recently in Seifert U., Phys. Rev. Lett., 104 (2010) 138101 for more
general networks of biomolecular states.
BibTeX:
@article{Verley2011_vol93,
  author = {Verley, G. and Mallick, K. and Lacoste, D.},
  title = {Modified fluctuation-dissipation theorem for non-equilibrium steady states and applications to molecular motors},
  journal = {Europhys. Lett.},
  year = {2011},
  volume = {93},
  pages = {10002},
  note = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2011_vol93.pdfPDF},
  url = {https://pperso.ijclab.in2p3.fr/page_perso/Verley/Papers/Verley2011_vol93.pdf},
  doi = {https://doi.org/10.1209/0295-5075/93/10002}
}
Walter, J.-C., Ferrantini, A., Carlon, E. and Vanderzande, C. Fractional Brownian motion and the critical dynamics of zipping polymers 2011 arXiv  article URL 
BibTeX:
@article{Walter2011_vol,
  author = {Walter, J.-C. and Ferrantini, A. and Carlon, E. and Vanderzande, C.},
  title = {Fractional Brownian motion and the critical dynamics of zipping polymers},
  journal = {arXiv},
  year = {2011},
  url = {http://arxiv.org/abs/1111.4323}
}
Wang, X. A simple and compact approach to hydrodynamic using geometric algebra 2011 Vixra  article  
BibTeX:
@article{Wang2011vol,
  author = {Xiong Wang},
  title = {A simple and compact approach to hydrodynamic using geometric algebra},
  journal = {Vixra},
  year = {2011}
}
Khanin, K., Nechaev, S., Oshanin, G., Sobolevski, A. and Vasilyev, O. Ballistic deposition patterns beneath a growing Kardar-Parisi-Zhang interface 2010 Phys. Rev. E
Vol. 82, pp. 061107 
article DOI URL 
BibTeX:
@article{Khanin2010_vol82,
  author = {Khanin, K. and Nechaev, S. and Oshanin, G. and Sobolevski, A. and Vasilyev, O.},
  title = {Ballistic deposition patterns beneath a growing Kardar-Parisi-Zhang interface},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2010},
  volume = {82},
  pages = {061107},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.82.061107},
  doi = {https://doi.org/10.1103/PhysRevE.82.061107}
}
Leduc, J. Etude physique et numérique de l'écoulement dans un dispositif d'injection de turbine Pelton 2010 (2010ECDL0042)School: Ecole Centrale de Lyon  phdthesis URL 
BibTeX:
@phdthesis{Phdthesis_leduc2010,
  author = {Leduc, Julien},
  title = {Etude physique et numérique de l'écoulement dans un dispositif d'injection de turbine Pelton},
  school = {Ecole Centrale de Lyon},
  year = {2010},
  number = {2010ECDL0042},
  url = {https://theses.hal.science/tel-00684385}
}
Nakpathomkun, N., Xu, H.Q. and Linke, H. Thermoelectric efficiency at maximum power in low-dimensional systems 2010 Phys. Rev. B
Vol. 82, pp. 235428 
article DOI URL 
BibTeX:
@article{Nakpathomkun2010_vol82,
  author = {Nakpathomkun, Natthapon and Xu, H. Q. and Linke, Heiner},
  title = {Thermoelectric efficiency at maximum power in low-dimensional systems},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2010},
  volume = {82},
  pages = {235428},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.82.235428},
  doi = {https://doi.org/10.1103/PhysRevB.82.235428}
}
Chappell, J.M., Iqbal, A. and Abbott, D. A simplified approach to electromagnetism using geometric algebra 2010   article  
Abstract: A new simplified approach for teaching electromagnetism is presented using
the formalism of geometric algebra (GA) which does not require vector
calculus or tensor index notation, thus producing a much more accessible
presentation for students. The four-dimensional spacetime proposed is
completely symmetrical between the space and time dimensions, thus fulfilling
Minkowski's original vision. In order to improve student reception we also
focus on forces and the conservation of energy and momentum, which take a
very simple form in GA, so that students can easily build on established
intuitions in using these laws developed from studying Newtonian mechanics.
The potential formulation is also integrated into the presentation that
allows an alternate solution path, as well as an introduction to the
Lagrangian approach. Several problems are solved throughout the text to make
the implementation clear. We extend previous treatment of this area, through
including the potential formulation, the conservation of energy and momentum,
the generalization for magnetic monopoles, as well as simplifying previously
reported results through eliminating the need for the spacetime metric.
BibTeX:
@article{Chappell2010vol,
  author = {James M. Chappell and Azhar Iqbal and Derek Abbott},
  title = {A simplified approach to electromagnetism using geometric algebra},
  year = {2010}
}
Pradhan, P., Amann, C. and Seifert, U. Nonequilibrium Steady States in Contact: Approximate Thermodynamic Structure and Zeroth Law for Driven Lattice Gases 2010 Phys. Rev. Lett.
Vol. 105, pp. 150601 
article DOI URL 
BibTeX:
@article{Pradhan2010_vol105,
  author = {Pradhan, P. and Amann, C.P. and Seifert, U.},
  title = {Nonequilibrium Steady States in Contact: Approximate Thermodynamic Structure and Zeroth Law for Driven Lattice Gases},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2010},
  volume = {105},
  pages = {150601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.105.150601},
  doi = {https://doi.org/10.1103/PhysRevLett.105.150601}
}
Roldán, É. and Parrondo, J.M.R. Estimating Dissipation from Single Stationary Trajectories 2010 Phys. Rev. Lett.
Vol. 105, pp. 150607 
article DOI URL 
BibTeX:
@article{Roldan2010_vol105,
  author = {Roldán, É. and Parrondo, J. M. R.},
  title = {Estimating Dissipation from Single Stationary Trajectories},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2010},
  volume = {105},
  pages = {150607},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.105.150607},
  doi = {https://doi.org/10.1103/PhysRevLett.105.150607}
}
Entin-Wohlman, O., Imry, Y. and Aharony, A. Three-terminal thermoelectric transport through a molecular junction 2010 Phys. Rev. B
Vol. 82, pp. 115314 
article DOI URL 
BibTeX:
@article{Entin-Wohlman2010_vol82,
  author = {Entin-Wohlman, O. and Imry, Y. and Aharony, A.},
  title = {Three-terminal thermoelectric transport through a molecular junction},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2010},
  volume = {82},
  pages = {115314},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.82.115314},
  doi = {https://doi.org/10.1103/PhysRevB.82.115314}
}
Mehl, J., Blickle, V., Seifert, U. and Bechinger, C. Experimental accessibility of generalized fluctuation-dissipation relations for nonequilibrium steady states 2010 Phys. Rev. E
Vol. 82, pp. 032401 
article DOI URL 
BibTeX:
@article{Mehl2010_vol82,
  author = {Mehl, Jakob and Blickle, Valentin and Seifert, Udo and Bechinger, Clemens},
  title = {Experimental accessibility of generalized fluctuation-dissipation relations for nonequilibrium steady states},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2010},
  volume = {82},
  pages = {032401},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.82.032401},
  doi = {https://doi.org/10.1103/PhysRevE.82.032401}
}
Sorensen, J.N. and van Kuik, G.A.M. General momentum theory for wind turbines at low tip speed ratios 2010 Wind Energy
Vol. 14(7), pp. 821-839 
article DOI  
BibTeX:
@article{Sorensen2010vol14,
  author = {Sorensen, Jens N. and van Kuik, Gijs A. M.},
  title = {General momentum theory for wind turbines at low tip speed ratios},
  journal = {Wind Energy},
  publisher = {Wiley},
  year = {2010},
  volume = {14},
  number = {7},
  pages = {821--839},
  doi = {https://doi.org/10.1002/we.423}
}
Gray, J. and Addison, S. Generalized Extensivity 2010 arXiv  article  
BibTeX:
@article{Gray2010_vol,
  author = {Gray, J. E. and Addison, S. R.},
  title = {Generalized Extensivity},
  journal = {arXiv},
  year = {2010}
}
Aron, C., Biroli, G. and Cugliandolo, L.F. Symmetries of generating functionals of Langevin processes with colored multiplicative noise 2010 J.Stat.Mech.1011:P11018,2010
Vol. 2010(11), pp. P11018 
article DOI  
Abstract: We present a comprehensive study of the symmetries of the generating functionals of generic Langevin processes with multiplicative colored noise. We treat both Martin-Siggia-Rose-Janssen-deDominicis and supersymmetric formalisms. We summarize the relations between observables that they imply including fluctuation relations, fluctuation-dissipation theorems, and Schwinger-Dyson equations. Newtonian dynamics and their invariances follow in the vanishing friction limit.
BibTeX:
@article{Aron2010vol2010,
  author = {Aron, Camille and Biroli, Giulio and Cugliandolo, Leticia F.},
  title = {Symmetries of generating functionals of Langevin processes with colored multiplicative noise},
  journal = {J.Stat.Mech.1011:P11018,2010},
  publisher = {IOP Publishing},
  year = {2010},
  volume = {2010},
  number = {11},
  pages = {P11018},
  doi = {https://doi.org/10.1088/1742-5468/2010/11/p11018}
}
Takeuchi, K.A. and Sano, M. Universal Fluctuations of Growing Interfaces: Evidence in Turbulent Liquid Crystals 2010 Phys. Rev. Lett.
Vol. 104, pp. 230601 
article DOI URL 
BibTeX:
@article{Takeuchi2010_vol104,
  author = {Takeuchi, Kazumasa A. and Sano, Masaki},
  title = {Universal Fluctuations of Growing Interfaces: Evidence in Turbulent Liquid Crystals},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2010},
  volume = {104},
  pages = {230601},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.104.230601},
  doi = {https://doi.org/10.1103/PhysRevLett.104.230601}
}
Andrae, B., Cremer, J., Reichenbach, T. and Frey, E. Entropy Production of Cyclic Population Dynamics 2010 Phys. Rev. Lett.
Vol. 104, pp. 218102 
article DOI URL 
BibTeX:
@article{Andrae2010_vol104,
  author = {Andrae, B. and Cremer, J. and Reichenbach, T. and Frey, E.},
  title = {Entropy Production of Cyclic Population Dynamics},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2010},
  volume = {104},
  pages = {218102},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.104.218102},
  doi = {https://doi.org/10.1103/PhysRevLett.104.218102}
}
Evans, R.M.L., Simha, R.A., Baule, A. and Olmsted, P.D. Statistical mechanics far from equilibrium: Prediction and test for a sheared system 2010 Phys. Rev. E
Vol. 81, pp. 051109 
article DOI URL 
BibTeX:
@article{Evans2010_vol81,
  author = {Evans, R. M. L. and Simha, R. A. and Baule, A. and Olmsted, P. D.},
  title = {Statistical mechanics far from equilibrium: Prediction and test for a sheared system},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2010},
  volume = {81},
  pages = {051109},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.81.051109},
  doi = {https://doi.org/10.1103/PhysRevE.81.051109}
}
Garrahan, J.P. and Lesanovsky, I. Thermodynamics of Quantum Jump Trajectories 2010 Phys. Rev. Lett.
Vol. 104, pp. 160601 
article DOI URL 
BibTeX:
@article{Garrahan2010_vol104,
  author = {Garrahan, Juan P. and Lesanovsky, Igor},
  title = {Thermodynamics of Quantum Jump Trajectories},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2010},
  volume = {104},
  pages = {160601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.104.160601},
  doi = {https://doi.org/10.1103/PhysRevLett.104.160601}
}
Ren, J., Hänggi, P. and Li, B. Berry-Phase-Induced Heat Pumping and Its Impact on the Fluctuation Theorem 2010 Phys. Rev. Lett.
Vol. 104, pp. 170601 
article DOI URL 
BibTeX:
@article{Ren2010_vol104,
  author = {Ren, J. and Hänggi, P. and Li, B.},
  title = {Berry-Phase-Induced Heat Pumping and Its Impact on the Fluctuation Theorem},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2010},
  volume = {104},
  pages = {170601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.104.170601},
  doi = {https://doi.org/10.1103/PhysRevLett.104.170601}
}
Mohr, P.J. Solutions of the Maxwell equations and photon wave functions 2010 Annals of Physics
Vol. 325(3), pp. 607-663 
article DOI  
BibTeX:
@article{Mohr2010vol325,
  author = {Mohr, Peter J.},
  title = {Solutions of the Maxwell equations and photon wave functions},
  journal = {Annals of Physics},
  publisher = {Elsevier BV},
  year = {2010},
  volume = {325},
  number = {3},
  pages = {607--663},
  doi = {https://doi.org/10.1016/j.aop.2009.11.007}
}
Touchette, H., Harris, R.J. and Tailleur, J. First-order phase transitions from poles in asymptotic representations of partition functions 2010 Phys. Rev. E
Vol. 81, pp. 030101 
article DOI URL 
BibTeX:
@article{Touchette2010_vol81,
  author = {Touchette, Hugo and Harris, Rosemary J. and Tailleur, Julien},
  title = {First-order phase transitions from poles in asymptotic representations of partition functions},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2010},
  volume = {81},
  pages = {030101},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.81.030101},
  doi = {https://doi.org/10.1103/PhysRevE.81.030101}
}
Esposito, M., Kawai, R., Lindenberg, K. and den Broeck, C.V. Finite-time thermodynamics for a single-level quantum dot 2010 EPL (Europhysics Letters)
Vol. 89(2), pp. 20003 
article DOI  
BibTeX:
@article{Esposito2010vol89,
  author = {M. Esposito and R. Kawai and K. Lindenberg and C. Van den Broeck},
  title = {Finite-time thermodynamics for a single-level quantum dot},
  journal = {EPL (Europhysics Letters)},
  publisher = {IOP Publishing},
  year = {2010},
  volume = {89},
  number = {2},
  pages = {20003},
  doi = {https://doi.org/10.1209/0295-5075/89/20003}
}
Aron, C., Biroli, G. and Cugliandolo, L. Symmetries of generating functionals of Langevin processes with colored multiplicative noise 2010 J. Stat. Mech: Theory Exp.
Vol. 2010(11), pp. P11018 
article DOI  
Abstract: We present a comprehensive study of the symmetries of the generating
functionals of generic Langevin processes with multiplicative colored noise.
We treat both Martin-Siggia-Rose-Janssen-De Dominicis and supersymmetric
formalisms. We summarize the relations between observables that they imply
including fluctuation relations, fluctuation-dissipation theorems, and
Schwinger-Dyson equations. Newtonian dynamics and their invariances follow in
the vanishing friction limit.
BibTeX:
@article{Aron2010_vol2010,
  author = {Aron, C. and Biroli, G. and Cugliandolo, L.},
  title = {Symmetries of generating functionals of Langevin processes with colored multiplicative noise},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2010},
  volume = {2010},
  number = {11},
  pages = {P11018},
  doi = {https://doi.org/10.1088/1742-5468/2010/11/P11018}
}
Barato, A.C., Chétrite, R., Hinrichsen, H. and Mukamel, D. Entropy production and fluctuation relations for a KPZ interface 2010 J. Stat. Mech: Theory Exp.(10), pp. P10008  article URL 
Abstract: We study entropy production and fluctuation relations in the restricted
solid-on-solid growth model, which is a microscopic realization of the
Kardar?Parisi?Zhang (KPZ) equation. Solving the one-dimensional model exactly
on a particular line of the phase diagram we demonstrate that entropy
production quantifies the distance from equilibrium. Moreover, as an example
of a physically relevant current different from the entropy, we study the
symmetry of the large deviation function associated with the interface
height. In a special case of a system of length L = 4 we find that the
probability distribution of the variation of height has a symmetric large
deviation function, displaying a symmetry different from the Gallavotti?Cohen
symmetry.
BibTeX:
@article{Barato2010_vol2010,
  author = {A C Barato and R Chétrite and H Hinrichsen and D Mukamel},
  title = {Entropy production and fluctuation relations for a KPZ interface},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2010},
  number = {10},
  pages = {P10008},
  url = {http://stacks.iop.org/1742-5468/2010/i=10/a=P10008}
}
Baule, A. and Evans, R.M.L. Nonequilibrium statistical mechanics of shear flow: invariant quantities and current relations 2010 J. Stat. Mech: Theory Exp.
Vol. 2010(03), pp. P03030 
article DOI URL 
Abstract: In modeling nonequilibrium systems one usually starts with a definition of
the microscopic dynamics, e.g., in terms of transition rates, and then
derives the resulting macroscopic behavior. We address the inverse question
for a class of steady state systems, namely complex fluids under continuous
shear flow: how does an externally imposed shear current affect the
microscopic dynamics of the fluid? The answer can be formulated in the form
of invariant quantities , exact relations for the transition rates in the
nonequilibrium steady state, as discussed in a recent letter (Baule and
Evans, 2008 Phys.�Rev.�Lett.�101�240601). Here, we present a more
pedagogical account of the invariant quantities and the theory underlying
them, known as the nonequilibrium counterpart to detailed balance (NCDB).
Furthermore, we investigate the relationship between the transition rates and
the shear current in the steady state. We show that a fluctuation relation of
the Gallavotti-Cohen type holds for systems satisfying NCDB.
BibTeX:
@article{Baule2010_vol2010,
  author = {Baule, A. and Evans, R. M. L.},
  title = {Nonequilibrium statistical mechanics of shear flow: invariant quantities and current relations},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2010},
  volume = {2010},
  number = {03},
  pages = {P03030},
  url = {http://stacks.iop.org/1742-5468/2010/i=03/a=P03030},
  doi = {https://doi.org/10.1088/1742-5468/2010/03/P03030}
}
Ben-Naim, E., Krapivsky, P. and Redner, S. A kinetic view of Statistical Physics 2010   book  
BibTeX:
@book{Book_Ben-Naim2010,
  author = {Ben-Naim, E. and Krapivsky, P. and Redner, S.},
  title = {A kinetic view of Statistical Physics},
  publisher = {Cambridge University Press},
  year = {2010}
}
Bihouix, P. La raréfaction des métaux : un nouveau défi pour les sociétés 2010   book  
BibTeX:
@book{Bihouix2010vol,
  author = {Philippe Bihouix},
  title = {La raréfaction des métaux : un nouveau défi pour les sociétés},
  year = {2010}
}
Bohm, G. and Zech, G. Introduction to Statistics and Data Analysis for Physicists 2010   book  
BibTeX:
@book{Book_Bohm2010,
  author = {Bohm, G and Zech, G.},
  title = {Introduction to Statistics and Data Analysis for Physicists},
  publisher = {Verlag Deutsches Elektronen-Synchrotron},
  year = {2010}
}
Boksenbojm, E., Wynants, B. and Jarzynski, C. Nonequilibrium thermodynamics at the microscale: Work relations and the second law 2010 Phys. A
Vol. 389, pp. 4406-4417 
article DOI  
BibTeX:
@article{Boksenbojm2010_vol389,
  author = {Boksenbojm, E. and Wynants, B. and Jarzynski, C.},
  title = {Nonequilibrium thermodynamics at the microscale: Work relations and the second law},
  journal = {Phys. A},
  year = {2010},
  volume = {389},
  pages = {4406--4417},
  doi = {https://doi.org/10.1016/j.physa.2010.01.001}
}
Caticha, A. Entropic Inference 2010 arXiv  article URL 
BibTeX:
@article{Caticha2010_vol,
  author = {Caticha, A.},
  title = {Entropic Inference},
  journal = {arXiv},
  year = {2010},
  url = {http://arxiv.org/abs/1011.0723}
}
Caticha, A. Entropic Time 2010 AIP Conf. Proc.
Vol. 1305 
article DOI  
BibTeX:
@article{Caticha2010_vola,
  author = {Caticha, A.},
  title = {Entropic Time},
  journal = {AIP Conf. Proc.},
  year = {2010},
  volume = {1305},
  doi = {https://doi.org/10.1063/1.3573617}
}
Celani, A. and Vergassola, M. Bacterial strategies for chemotaxis response 2010 Proc. Natl. Acad. Sci. U.S.A.
Vol. 107(4), pp. 1391-1396 
article DOI URL 
Abstract: Regular environmental conditions allow for the evolution of specifically
adapted responses, whereas complex environments usually lead to conflicting
requirements upon the organism?s response. A relevant instance of these
issues is bacterial chemotaxis, where the evolutionary and functional reasons
for the experimentally observed response to chemoattractants remain a riddle.
Sensing and motility requirements are in fact optimized by different
responses, which strongly depend on the chemoattractant environmental
profiles. It is not clear then how those conflicting requirements
quantitatively combine and compromise in shaping the chemotaxis response.
Here we show that the experimental bacterial response corresponds to the
maximin strategy that ensures the highest minimum uptake of chemoattractants
for any profile of concentration. We show that the maximin response is the
unique one that always outcompetes motile but nonchemotactic bacteria. The
maximin strategy is adapted to the variable environments experienced by
bacteria, and we explicitly show its emergence in simulations of bacterial
populations in a chemostat. Finally, we recast the contrast of evolution in
regular vs. complex environments in terms of minimax vs. maximin
game-theoretical strategies. Our results are generally relevant to biological
optimization principles and provide a systematic possibility to get around
the need to know precisely the statistics of environmental fluctuations.
BibTeX:
@article{Celani2010_vol107,
  author = {Celani, A. and Vergassola, M.},
  title = {Bacterial strategies for chemotaxis response},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  year = {2010},
  volume = {107},
  number = {4},
  pages = {1391--1396},
  url = {http://www.pnas.org/content/107/4/1391.abstract},
  doi = {https://doi.org/10.1073/pnas.0909673107}
}
Chandler, D. and Garrahan, J.P. Dynamics on the Way to Forming Glass: Bubbles in Space-Time 2010 Annu. Rev. Phys. Chem.
Vol. 61(1), pp. 191-217 
article DOI URL 
BibTeX:
@article{Chandler2010_vol61,
  author = {Chandler, David and Garrahan, Juan P.},
  title = {Dynamics on the Way to Forming Glass: Bubbles in Space-Time},
  journal = {Annu. Rev. Phys. Chem.},
  year = {2010},
  volume = {61},
  number = {1},
  pages = {191--217},
  url = {http://dx.doi.org/10.1146/annurev.physchem.040808.090405},
  doi = {https://doi.org/10.1146/annurev.physchem.040808.090405}
}
Chvosta, P., Einax, M., Holubec, V., Ryabov, A. and Maass, P. Energetics and performance of a microscopic heat engine based on exact calculations of work and heat distributions 2010 J. Stat. Mech: Theory Exp.(03), pp. P03002  article URL 
Abstract: We investigate a microscopic motor based on an externally controlled
two-level system. One cycle of the motor operation consists of two strokes.
Within each stroke, the two-level system is in contact with a given thermal
bath and its energy levels are driven at a constant rate. The time evolutions
of the occupation probabilities of the two states are controlled by one rate
equation and represent the system's response with respect to the external
driving. We give the exact solution of the rate equation for the limit cycle
and discuss the emerging thermodynamics: the work done on the environment,
the heat exchanged with the baths, the entropy production, the motor's
efficiency, and the power output. Furthermore we introduce an augmented
stochastic process which reflects, at a given time, both the occupation
probabilities for the two states and the time spent in the individual states
during the previous evolution. The exact calculation of the evolution
operator for the augmented process allows us to discuss in detail the
probability density for the work performed during the limit cycle. In the
strongly irreversible regime, the density exhibits important qualitative
differences with respect to the more common Gaussian shape in the regime of
weak irreversibility.
BibTeX:
@article{Chvosta2010_vol2010,
  author = {Chvosta, P. and Einax, M. and Holubec, V. and Ryabov, A. and Maass, P.},
  title = {Energetics and performance of a microscopic heat engine based on exact calculations of work and heat distributions},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2010},
  number = {03},
  pages = {P03002},
  url = {http://stacks.iop.org/1742-5468/2010/i=03/a=P03002}
}
Ciliberto, S., Joubaud, S. and Petrosyan, A. Fluctuations in out of equilibrium systems: from theory to experiment 2010 J. Stat. Mech: Theory Exp.(P12003)  article URL 
BibTeX:
@article{Ciliberto2010_vol,
  author = {Ciliberto, S. and Joubaud, S. and Petrosyan, A.},
  title = {Fluctuations in out of equilibrium systems: from theory to experiment},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2010},
  number = {P12003},
  url = {http://arxiv.org/abs/1009.3362}
}
Corberi F.and Lippiello, E., Sarracino, A. and Zannetti, M. Fluctuation-dissipation relations and field-free algorithms for the computation of response functions 2010 Phys. Rev. E
Vol. {81}({1, Part 1}) 
article DOI  
BibTeX:
@article{Corberi2010_vol81,
  author = {Corberi, F.and Lippiello, E. and Sarracino, A. and Zannetti, M.},
  title = {Fluctuation-dissipation relations and field-free algorithms for the computation of response functions},
  journal = {Phys. Rev. E},
  year = {2010},
  volume = {81},
  number = {1, Part 1},
  doi = {https://doi.org/10.1103/PhysRevE.81.011124}
}
Cvitanovic, P.e.a. Chaos, classical and quantum 2010   book URL 
BibTeX:
@book{Cvitanovic2010_vol,
  author = {Cvitanovic, P. et al.},
  title = {Chaos, classical and quantum},
  publisher = {Niels Bohr Institute, Copenhagen},
  year = {2010},
  url = {http://chaosbook.org/}
}
Esposito, M., Kawai, R., Lindenberg, K. and Van den Broeck, C. Efficiency at Maximum Power of Low-Dissipation Carnot Engines 2010 Phys. Rev. Lett.
Vol. 105(15), pp. 150603 
article DOI  
Abstract: We study the efficiency at maximum power, eta*, of engines performing
finite-time Carnot cycles between a hot and a cold reservoir at temperatures
T-h and T-c, respectively. For engines reaching Carnot efficiency eta(C) = 1
- T-c/T-h in the reversible limit (long cycle time, zero dissipation), we
find in the limit of low dissipation that eta* is bounded from above by
eta(C)/(2 - eta(C)) and from below by eta(C)/2. These bounds are reached when
the ratio of the dissipation during the cold and hot isothermal phases tend,
respectively, to zero or infinity. For symmetric dissipation (ratio one) the
Curzon-Ahlborn efficiency eta(CA) = 1 - root T-c/T-h is recovered.
BibTeX:
@article{Esposito2010_vol105,
  author = {Esposito, M. and Kawai, R. and Lindenberg, K. and Van den Broeck, C.},
  title = {Efficiency at Maximum Power of Low-Dissipation Carnot Engines},
  journal = {Phys. Rev. Lett.},
  publisher = {Amer Physical Soc},
  year = {2010},
  volume = {105},
  number = {15},
  pages = {150603},
  doi = {https://doi.org/10.1103/PhysRevLett.105.150603}
}
Esposito, M., Kawai, R., Lindenberg, K. and Van den Broeck, C. Quantum-dot Carnot engine at maximum power 2010 Phys. Rev. E
Vol. 81(4), pp. 041106 
article DOI  
Abstract: We evaluate the efficiency at maximum power of a quantum-dot Carnot heat
engine. The universal values of the coefficients at the linear and quadratic
order in the temperature gradient are reproduced. Curzon-Ahlborn efficiency
is recovered in the limit of weak dissipation.
BibTeX:
@article{Esposito2010_vol81,
  author = {Esposito, M. and Kawai, R. and Lindenberg, K. and Van den Broeck, C.},
  title = {Quantum-dot Carnot engine at maximum power},
  journal = {Phys. Rev. E},
  publisher = {Amer Physical Soc},
  year = {2010},
  volume = {81},
  number = {4},
  pages = {041106},
  doi = {https://doi.org/10.1103/PhysRevE.81.041106}
}
Esposito, M., Lindenberg, K. and Van den Broeck, C. Entropy production as correlation between system and reservoir 2010 New J. Phys.
Vol. 12, pp. 013013 
article DOI  
Abstract: We derive an exact (classical and quantum) expression for the entropy
production of a finite system placed in contact with one or several finite
reservoirs, each of which is initially described by a canonical equilibrium
distribution. Although the total entropy of system plus reservoirs is
conserved, we show that system entropy production is always positive and is a
direct measure of system-reservoir correlations and/or entanglements. Using
an exactly solvable quantum model, we illustrate our novel interpretation of
the Second Law in a microscopically reversible finite-size setting, with
strong coupling between the system and the reservoirs. With this model, we
also explicitly show the approach of our exact formulation to the standard
description of irreversibility in the limit of a large reservoir.
BibTeX:
@article{Esposito2010_vol12,
  author = {Esposito, M. and Lindenberg, K. and Van den Broeck, C.},
  title = {Entropy production as correlation between system and reservoir},
  journal = {New J. Phys.},
  publisher = {Iop Publishing Ltd},
  year = {2010},
  volume = {12},
  pages = {013013},
  doi = {https://doi.org/10.1088/1367-2630/12/1/013013}
}
Esposito, M. and Van den Broeck, C. Three Detailed Fluctuation Theorems 2010 Phys. Rev. Lett.
Vol. 104(9), pp. 090601 
article DOI  
Comment: 5
BibTeX:
@article{Esposito2010_vol104,
  author = {Esposito, M. and Van den Broeck, C.},
  title = {Three Detailed Fluctuation Theorems},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2010},
  volume = {104},
  number = {9},
  pages = {090601},
  doi = {https://doi.org/10.1103/PhysRevLett.104.090601}
}
Esposito, M. and Van den Broeck, C. Three faces of the second law. I. Master equation formulation 2010 Phys. Rev. E
Vol. 82(1), pp. 011143 
article DOI  
Abstract: We propose a formulation of stochastic thermodynamics for systems subjected
to nonequilibrium constraints (i.e. broken detailed balance at steady state)
and furthermore driven by external time-dependent forces. A splitting of the
second law occurs in this description leading to three second-law-like
relations. The general results are illustrated on specific solvable models.
The present paper uses a master equation based approach.
BibTeX:
@article{Esposito2010_vol82,
  author = {Esposito, M. and Van den Broeck, C.},
  title = {Three faces of the second law. I. Master equation formulation},
  journal = {Phys. Rev. E},
  publisher = {Amer Physical Soc},
  year = {2010},
  volume = {82},
  number = {1},
  pages = {011143},
  doi = {https://doi.org/10.1103/PhysRevE.82.011143}
}
Evans, R.M.L. Statistical physics of shear flow: a non-equilibrium problem 2010 Contemp. Phys.
Vol. 51(5), pp. 413-427 
article DOI URL 
Abstract: Complex fluids are easily and reproducibly driven into non-equilibrium steady
states by the action of shear flow. The statistics of the microstructure of
non-equilibrium fluids is important to the material properties of every
complex fluid that flows, e.g. axle grease on a rotating bearing; blood
circulating in capillaries; molten plastic flowing into a mould; the
non-equilibrium onion phase of amphiphiles used for drug delivery; the list
is endless. Such states are as diverse and interesting as equilibrium states,
but are not governed by the same statistics as equilibrium materials. I
review some recently discovered principles governing the probabilities of
various types of molecular re-arrangements taking place within a sheared
fluid. As well as providing new foundations for the study of non-equilibrium
matter, the principles are applied to some simple models of particles
interacting under flow, showing that the theory exhibits physically
convincing behaviour.
BibTeX:
@article{Evans2010_vol51,
  author = {R. M. L. Evans},
  title = {Statistical physics of shear flow: a non-equilibrium problem},
  journal = {Contemp. Phys.},
  year = {2010},
  volume = {51},
  number = {5},
  pages = {413--427},
  url = {http://dx.doi.org/10.1080/00107514.2010.496228},
  doi = {https://doi.org/10.1080/00107514.2010.496228}
}
García-García, R., Domínguez, D., Lecomte, V. and Kolton, A.B. Unifying approach for fluctuation theorems from joint probability distributions 2010 Phys. Rev. E
Vol. 82(3), pp. 030104 
article DOI  
BibTeX:
@article{Garcia-Garcia2010_vol82,
  author = {García-García, R. and Domínguez, D. and Lecomte, V. and Kolton, A. B.},
  title = {Unifying approach for fluctuation theorems from joint probability distributions},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2010},
  volume = {82},
  number = {3},
  pages = {030104},
  doi = {https://doi.org/10.1103/PhysRevE.82.030104}
}
Gerritsma, E. and Gaspard, P. Chemomechanical coupling and stochastic thermodynamics of the F1-ATPase molecular motor with an applied external torque 2010 Biophysical Reviews and Letters
Vol. 5, pp. 163-208 
article  
BibTeX:
@article{Gerritsma2010vol5,
  author = {E. Gerritsma and P. Gaspard},
  title = {Chemomechanical coupling and stochastic thermodynamics of the F1-ATPase molecular motor with an applied external torque},
  journal = {Biophysical Reviews and Letters},
  year = {2010},
  volume = {5},
  pages = {163--208}
}
Goldsmid, H.J. Introduction to Thermoelectricity 2010
Vol. 121 
book  
BibTeX:
@book{Goldsmid2010_vol121,
  author = {Goldsmid, H. J.},
  title = {Introduction to Thermoelectricity},
  publisher = {Springer},
  year = {2010},
  volume = {121}
}
Gomez-Solano, J.R., Bellon, L., Petrosyan, A. and Ciliberto, S. Steady-state fluctuation relations for systems driven by an external random force 2010 Europhys. Lett.
Vol. 89(6), pp. 60003 
article URL 
Abstract: We experimentally study the fluctuations of the work done by an external
Gaussian random force on two different stochastic systems coupled to a
thermal bath: a colloidal particle in an optical trap and an atomic-force
microscopy cantilever. We determine the corresponding probability density
functions for different random forcing amplitudes ranging from a small
fraction to several times the amplitude of the thermal noise. In both systems
for sufficiently weak forcing amplitudes the work fluctuations satisfy the
usual steady-state fluctuation theorem. As the forcing amplitude drives the
system far from equilibrium, deviations of the fluctuation theorem increase
monotonically. The deviations can be recasted to a single master curve which
only depends on the kind of stochastic external force.
BibTeX:
@article{Gomez-Solano2010_vol89,
  author = {J. R. Gomez-Solano and L. Bellon and A. Petrosyan and S. Ciliberto},
  title = {Steady-state fluctuation relations for systems driven by an external random force},
  journal = {Europhys. Lett.},
  year = {2010},
  volume = {89},
  number = {6},
  pages = {60003},
  url = {http://stacks.iop.org/0295-5075/89/i=6/a=60003}
}
Granger, L., Niemann, M. and Kantz, H. Crooks' fluctuation theorem for the fluctuating lattice-Boltzmann model 2010 J. Stat. Mech: Theory Exp.(06), pp. P06029  article URL 
Abstract: We probe the validity of Crooks' fluctuation relation on the fluctuating
lattice-Boltzmann model (FLBM), a highly simplified lattice model for a
thermal ideal gas. We drive the system between two thermodynamic equilibrium
states and compute the distribution of the work performed. By comparing the
distributions of the work performed during the forward driving and
time-reversed driving, we show that the system satisfies Crooks' relation.
The results of the numerical experiment suggest that the temperature and the
free energy of the system are well defined.
BibTeX:
@article{Granger2010_vol2010,
  author = {L Granger and M Niemann and H Kantz},
  title = {Crooks' fluctuation theorem for the fluctuating lattice-Boltzmann model},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2010},
  number = {06},
  pages = {P06029},
  url = {http://stacks.iop.org/1742-5468/2010/i=06/a=P06029}
}
Griffith, R. Classical Information Theory 2010   unpublished  
BibTeX:
@unpublished{Notes_Griffith,
  author = {R. Griffith},
  title = {Classical Information Theory},
  year = {2010}
}
Guérin, T., Prost, J., Martin, P. and Joanny, J.-F. Coordination and collective properties of molecular motors: theory 2010 Curr. Opin. Cell Biol.
Vol. 22(1), pp. 14-20 
article DOI URL 
Abstract: Many cellular processes require molecular motors to produce motion and
forces. Single molecule experiments have led to a precise description of how
a motor works. Under most physiological conditions, however, molecular motors
operate in groups. Interactions between motors yield collective behaviors
that cannot be explained only from single molecule properties. The aim of
this paper is to review the various theoretical descriptions that explain the
emergence of collective effects in molecular motor assemblies. These include
bidirectional motion, hysteretic behavior, spontaneous oscillations, and
self-organization into dynamical structures. We discuss motors acting on the
cytoskeleton both in a prescribed geometry such as in muscles or flagella and
in the cytoplasm.
BibTeX:
@article{Guerin2010_vol22,
  author = {Thomas Guérin and Jacques Prost and Pascal Martin and Jean-François Joanny},
  title = {Coordination and collective properties of molecular motors: theory},
  journal = {Curr. Opin. Cell Biol.},
  year = {2010},
  volume = {22},
  number = {1},
  pages = {14--20},
  note = {Cell structure and dynamics},
  url = {http://www.sciencedirect.com/science/article/pii/S0955067409002415},
  doi = {https://doi.org/10.1016/j.ceb.2009.12.012}
}
Guerin, T. Comportement collectif de moteurs mol�culaires: Une �tude th�orique 2010   phdthesis  
BibTeX:
@phdthesis{Guerin2010_vol,
  author = {Guerin, T.},
  title = {Comportement collectif de moteurs mol�culaires: Une �tude th�orique},
  year = {2010}
}
Hayashi, K., Ueno, H., Lino, R. and Noji, H. Fluctuation Theorem Applied to F1-ATPase 2010 Phys. Rev. Lett.
Vol. 104(21), pp. 218103 
article DOI  
BibTeX:
@article{Hayashi2010_vol104,
  author = {Hayashi, K. and Ueno, H. and Lino, R. and Noji, H.},
  title = {Fluctuation Theorem Applied to F1-ATPase},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2010},
  volume = {104},
  number = {21},
  pages = {218103},
  doi = {https://doi.org/10.1103/PhysRevLett.104.218103}
}
Izumida, Y. and Okuda, K. Onsager coefficients of a Brownian Carnot cycle 2010 Eur. Phys. J. B
Vol. 77(4), pp. 499-504 
article DOI URL 
BibTeX:
@article{Izumida2010_vol77,
  author = {Izumida, Y. and Okuda, K.},
  title = {Onsager coefficients of a Brownian Carnot cycle},
  journal = {Eur. Phys. J. B},
  publisher = {Springer-Verlag},
  year = {2010},
  volume = {77},
  number = {4},
  pages = {499--504},
  url = {http://dx.doi.org/10.1140/epjb/e2010-00285-0},
  doi = {https://doi.org/10.1140/epjb/e2010-00285-0}
}
Jack, R.L. and Sollich, P. Large Deviations and Ensembles of Trajectories in Stochastic Models 2010 Prog. Theor. Phys. Suppl.
Vol. 184, pp. 304-317 
article DOI URL 
Abstract: We consider ensembles of trajectories associated with large deviations of
time-integrated quantities in stochastic models. Motivated by proposals that
these ensembles are relevant for physical processes such as shearing and
glassy relaxation, we show how they can be generated directly using auxiliary
stochastic processes. We illustrate our results using the Glauber-Ising
chain, for which biased ensembles of trajectories can exhibit ferromagnetic
ordering. We discuss the relation between such biased ensembles and quantum
phase transitions.
BibTeX:
@article{Jack2010_vol184,
  author = {Jack, Robert L. and Sollich, Peter},
  title = {Large Deviations and Ensembles of Trajectories in Stochastic Models},
  journal = {Prog. Theor. Phys. Suppl.},
  year = {2010},
  volume = {184},
  pages = {304--317},
  url = {http://ptps.oxfordjournals.org/content/184/304.abstract},
  doi = {https://doi.org/10.1143/PTPS.184.304}
}
Komatsu, T.S., Nakagawa, N., Sasa, S., Tasaki, H. and Ito, N. Stationary Distribution and Thermodynamic Relation in Nonequilibrium Steady States 2010 Prog. of Theo. Phys. Supplement(184), pp. 329-338  article DOI  
Abstract: We describe our recent attempts toward statistical mechanics and
thermodynamics for nonequilibrium steady states (NESS) realized, e.g., in a
heat conducting system. Our first result is a simple expression of the
probability distribution (of microscopic states) of a NESS. Our second result
is a natural extension of the thermodynamic Clausius relation and a
definition of an accompanying entropy in NESS. This entropy coincides with
the normalization constant appearing in the above mentioned microscopic
expression of NESS, and has an expression similar to the Shannon entropy
(with a further symmetrization). The NESS entropy proposed here is a clearly
defined measurable quantity even in a system with a large degrees of freedom.
We numerically measure the NESS entropy in hardsphere fluid systems with a
heat current, by observing energy exchange between the system and the heat
baths when the temperatures of the baths are changed according to specified
protocols.
BibTeX:
@article{Komatsu2010_vol,
  author = {Komatsu, T. S. and Nakagawa, N. and Sasa, S. and Tasaki, H. and Ito, N.},
  title = {Stationary Distribution and Thermodynamic Relation in Nonequilibrium Steady States},
  journal = {Prog. of Theo. Phys. Supplement},
  publisher = {Progress Theoretical Physics Publication Office},
  year = {2010},
  number = {184},
  pages = {329--338},
  doi = {https://doi.org/10.1143/PTPS.184.329}
}
Lecomte, V., Imparato, A. and van Wijland, F. Current Fluctuations in Systems with Diffusive Dynamics, in and out of Equilibrium 2010 Progress of Theoretical Physics Supplement
Vol. 184, pp. 276-289 
article DOI  
BibTeX:
@article{Lecomte2010vol184,
  author = {Vivien Lecomte and Alberto Imparato and Frédéric van Wijland},
  title = {Current Fluctuations in Systems with Diffusive Dynamics, in and out of Equilibrium},
  journal = {Progress of Theoretical Physics Supplement},
  publisher = {Oxford University Press (OUP)},
  year = {2010},
  volume = {184},
  pages = {276--289},
  doi = {https://doi.org/10.1143/ptps.184.276}
}
Lipowsky, R., Beeg, J., Dimova, R., Klumpp, S. and M�ller, M.J. Cooperative behavior of molecular motors: Cargo transport and traffic phenomena 2010 Phys. E (Amsterdam, Neth.)
Vol. 42(3), pp. 649-661 
article DOI URL 
BibTeX:
@article{Lipowsky2010_vol42,
  author = {Reinhard Lipowsky and Janina Beeg and Rumiana Dimova and Stefan Klumpp and Melanie J.I. M�ller},
  title = {Cooperative behavior of molecular motors: Cargo transport and traffic phenomena},
  journal = {Phys. E (Amsterdam, Neth.)},
  year = {2010},
  volume = {42},
  number = {3},
  pages = {649--661},
  note = {Proceedings of the international conference Frontiers of Quantum and Mesoscopic Thermodynamics FQMT\ '08},
  url = {http://www.sciencedirect.com/science/article/pii/S1386947709003129},
  doi = {https://doi.org/10.1016/j.physe.2009.08.010}
}
Liu, F. Rate matrix splitting as a definition of time reversal in master equations 2010 arXiv  article URL 
BibTeX:
@article{Liu2010_vol,
  author = {Liu, F.},
  title = {Rate matrix splitting as a definition of time reversal in master equations},
  journal = {arXiv},
  year = {2010},
  url = {http://arxiv.org/abs/1010.5082}
}
Liu, F., Tong, H., Ma, R. and Ou-Yang, Z.C. Linear response theory and transient fluctuation relations for diffusion processes: A backward point of view 2010 J. Phys. A: Math. Theor.
Vol. 43(49), pp. 495003 
article URL 
Abstract: A formal apparatus is developed to unify derivations of the linear response
theory and a variety of transient fluctuation relations for continuous
diffusion processes from a backward point of view. The basis is a perturbed
Kolmogorov backward equation and the path integral representation of its
solution. We find that these exact transient relations could be interpreted
as a consequence of a generalized Chapman-“Kolmogorov equation, which
intrinsically arises from the Markovian characteristic of diffusion
processes.
BibTeX:
@article{Liu2010_vol43,
  author = {Liu, F. and Tong, H. and Ma, R. and Ou-Yang, Z. C.},
  title = {Linear response theory and transient fluctuation relations for diffusion processes: A backward point of view},
  journal = {J. Phys. A: Math. Theor.},
  year = {2010},
  volume = {43},
  number = {49},
  pages = {495003},
  url = {http://stacks.iop.org/1751-8121/43/i=49/a=495003}
}
Macdonald, A. Linear and geometric Algebra 2010   book  
BibTeX:
@book{Book_Macdonald2010,
  author = {Macdonald, A.},
  title = {Linear and geometric Algebra},
  year = {2010}
}
Maes, C. and Netocný, K. Rigorous meaning of McLennan ensembles 2010 J. Math. Phys.
Vol. 51, pp. 015219 
article DOI  
Abstract: We analyze the exact meaning of expressions for nonequilibrium stationary
distributions in terms of entropy changes. They were originally introduced by
McLennan [?Statistical mechanics of the steady state,? Phys. Rev. 115, 1405
(1959)] for mechanical systems close to equilibrium and more recent work by
Komatsu and Nakagawa [?An expression for stationary distribution in
nonequilibrium steady states,? Phys. Rev. Lett. 100, 030601 (2008)] has shown
their intimate relation to the transient fluctuation symmetry. Here we derive
these distributions for jump and diffusion Markov processes and we clarify
the order of the limits that take the system both to its stationary regime
and to the close-to-equilibrium regime. In particular, we prove that it is
exactly the (finite) transient component of the irreversible part of the
entropy flux that corrects the Boltzmann distribution to first order in the
driving. We add further connections with the notion of local equilibrium,
with the Green?Kubo relation, and with a generalized expression for the
stationary distribution in terms of a reference equilibrium process.
BibTeX:
@article{Maes2010_vol51,
  author = {C. Maes and K. Netocný},
  title = {Rigorous meaning of McLennan ensembles},
  journal = {J. Math. Phys.},
  year = {2010},
  volume = {51},
  pages = {015219},
  doi = {https://doi.org/10.1063/1.3274819}
}
Maes, C., Netocný, K. and Thomas, S. General no-go condition for stochastic pumping 2010 J. Chem. Phys.
Vol. 132(23), pp. - 
article DOI URL 
BibTeX:
@article{Maes2010_vol132,
  author = {Maes, C. and Netocný, K. and Thomas, S.R.},
  title = {General no-go condition for stochastic pumping},
  journal = {J. Chem. Phys.},
  year = {2010},
  volume = {132},
  number = {23},
  pages = {-},
  url = {http://scitation.aip.org/content/aip/journal/jcp/132/23/10.1063/1.3446811},
  doi = {https://doi.org/10.1063/1.3446811}
}
Mayé, P. Générateurs électrochimiques 2010   book  
BibTeX:
@book{Maye2010vol,
  author = {Pierre Mayé},
  title = {Générateurs électrochimiques},
  publisher = {Duno},
  year = {2010}
}
Merhav, N. and Kafri, Y. Statistical properties of entropy production derived from fluctuation theorems 2010 J. Stat. Mech: Theory Exp.(12), pp. P12022  article DOI URL 
Abstract: Several implications of well-known fluctuation theorems, on the statistical
properties of entropy production, are studied using various approaches. We
begin by deriving a tight lower bound on the variance of the entropy
production for a given mean of this random variable. It is shown that the
Evans?Searles fluctuation theorem alone imposes a significant lower bound on
the variance only when the mean entropy production is very small. It is then
nonetheless demonstrated that upon incorporating additional information
concerning the entropy production, this lower bound can be significantly
improved, so as to capture extensivity properties. Another important aspect
of the fluctuation properties of the entropy production is the relationship
between the mean and the variance, on the one hand, and the probability of
the event where the entropy production is negative, on the other hand.
Accordingly, we derive upper and lower bounds on this probability in terms of
the mean and the variance. These bounds are tighter than previous bounds that
can be found in the literature. Moreover, they are tight in the sense that
there exist probability distributions, satisfying the Evans?Searles
fluctuation theorem, that achieve them with equality. Finally, we present a
general method for generating a wide class of inequalities that must be
satisfied by the entropy production. We use this method to derive several new
inequalities that go beyond the standard derivation of the second law.
BibTeX:
@article{Merhav2010_vol2010,
  author = {Merhav, N. and Kafri, Y.},
  title = {Statistical properties of entropy production derived from fluctuation theorems},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2010},
  number = {12},
  pages = {P12022},
  url = {http://stacks.iop.org/1742-5468/2010/i=12/a=P12022},
  doi = {https://doi.org/10.1088/1742-5468/2010/12/P12022}
}
Niven, R.K. Minimization of a free-energy-like potential for non-equilibrium flow systems at steady state 2010 Philosophical Transactions of the Royal Society of London B: Biological Sciences
Vol. 365(1545), pp. 1323-1331 
article DOI URL 
Abstract: This study examines a new formulation of non-equilibrium thermodynamics,
which gives a conditional derivation of the ‘maximum entropy
production’ (MEP) principle for flow and/or chemical reaction
systems at steady state. The analysis uses a dimensionless potential function
phi_st for non-equilibrium systems, analogous to the free energy concept of
equilibrium thermodynamics. Spontaneous reductions in phi_st arise from
increases in the ‘flux entropy’ of the
system—a measure of the variability of the fluxes—or
in the local entropy production; conditionally, depending on the behaviour of
the flux entropy, the formulation reduces to the MEP principle. The inferred
steady state is also shown to exhibit high variability in its instantaneous
fluxes and rates, consistent with the observed behaviour of turbulent fluid
flow, heat convection and biological systems; one consequence is the
coexistence of energy producers and consumers in ecological systems. The
different paths for attaining steady state are also classified.
textcopyright 2010 The Royal Society
BibTeX:
@article{Niven2010_vol365,
  author = {Niven, Robert K.},
  title = {Minimization of a free-energy-like potential for non-equilibrium flow systems at steady state},
  journal = {Philosophical Transactions of the Royal Society of London B: Biological Sciences},
  publisher = {The Royal Society},
  year = {2010},
  volume = {365},
  number = {1545},
  pages = {1323--1331},
  url = {http://rstb.royalsocietypublishing.org/content/365/1545/1323},
  doi = {https://doi.org/10.1098/rstb.2009.0296}
}
Oliveira, R.J., Whitford, P.C., Chahine, J., Leite, V.B.P. and Wang, J. Coordinate and time-dependent diffusion dynamics in protein folding 2010 Methods
Vol. 52(1), pp. 91-98 
article DOI  
Abstract: We developed both analytical and simulation methods to explore the diffusion
dynamics in protein folding. We found the diffusion as a quantitative measure
of escape from local traps along the protein folding funnel with chosen
reaction coordinates has two remarkable effects on kinetics. At a fixed
coordinate, local escape time depends on the distribution of barriers around
it, therefore the diffusion is often time distributed. On the other hand, the
environments (local escape barriers) change along the coordinates, therefore
diffusion is coordinate dependent. The effects of time-dependent diffusion on
folding can lead to non-exponential kinetics and non-Poisson statistics of
folding time distribution. The effects of coordinate dependent diffusion on
folding can lead to the change of the kinetic barrier height as well as the
position of the corresponding transition state and therefore modify the
folding kinetic rates as well as the kinetic routes. Our analytical models
for folding are based on a generalized Fokker-Planck diffusion equation with
diffusion coefficient both dependent on coordinate and time. Our simulation
for folding are based on structure-based folding models with a specific fast
folding protein CspTm studied experimentally on diffusion and folding with
single molecules. The coordinate and time-dependent diffusion are especially
important to be considered in fast folding and single molecule studies, when
there is a small or no free energy barrier and kinetics is controlled by
diffusion while underlying statistics of kinetics become important. Including
the coordinate dependence of diffusion will challenge the transition state
theory of protein folding. The classical transition state theory will have to
be modified to be consistent. The more detailed folding mechanistic studies
involving phi value analysis based on the classical transition state theory
will also have to be quantitatively modified. Complex kinetics with multiple
time scales may allow us not only to explore the folding kinetics but also
probe the local landscape and barrier height distribution with
single-molecule experiments. (C) 2010 Elsevier Inc. All rights reserved.
BibTeX:
@article{Oliveira2010_vol52,
  author = {Oliveira, R. J. and Whitford, P. C. and Chahine, J. and Leite, V. B. P. and Wang, J.},
  title = {Coordinate and time-dependent diffusion dynamics in protein folding},
  journal = {Methods},
  publisher = {Academic Press Inc Elsevier Science},
  year = {2010},
  volume = {52},
  number = {1},
  pages = {91--98},
  doi = {https://doi.org/10.1016/j.ymeth.2010.04.016}
}
Park, H., Pontius, W., Guet, C.C., Marko, J.F., Emonet, T. and Cluzel, P. Interdependence of behavioural variability and response to small stimuli in bacteria 2010 Nature
Vol. 468(7325), pp. 819-U114 
article DOI  
Abstract: The chemotaxis signalling network in Escherichia coli that controls the
locomotion of bacteria is a classic model system for signal
transduction(1,2). This pathway modulates the behaviour of flagellar motors
to propel bacteria towards sources of chemical attractants. Although this
system relaxes to a steady state in response to environmental changes, the
signalling events within the chemotaxis network are noisy and cause large
temporal variations of the motor behaviour even in the absence of
stimulus(3). That the same signalling network governs both behavioural
variability and cellular response raises the question of whether these two
traits are independent. Here, we experimentally establish a
fluctuation-response relationship in the chemotaxis system of living
bacteria. Using this relationship, we demonstrate the possibility of
inferring the cellular response from the behavioural variability measured
before stimulus. In monitoring the pre- and post-stimulus switching behaviour
of individual bacterial motors, we found that variability scales linearly
with the response time for different functioning states of the cell. This
study highlights that the fundamental relationship between fluctuation and
response is not constrained to physical systems at thermodynamic
equilibrium(4) but is extensible to living cells(5). Such a relationship not
only implies that behavioural variability and cellular response can be
coupled traits, but it also provides a general framework within which we can
examine how the selection of a network design shapes this interdependence.
BibTeX:
@article{Park2010_vol468,
  author = {Park, H. and Pontius, W. and Guet, C. C. and Marko, J. F. and Emonet, T. and Cluzel, P.},
  title = {Interdependence of behavioural variability and response to small stimuli in bacteria},
  journal = {Nature},
  publisher = {Nature Publishing Group},
  year = {2010},
  volume = {468},
  number = {7325},
  pages = {819--U114},
  doi = {https://doi.org/10.1038/nature09551}
}
Popkov, V., Schuetz, G.M. and Simon, D. ASEP on a ring conditioned on enhanced flux 2010 J. Stat. Mech: Theory Exp.
Vol. 2010(10), pp. P10007 
article URL 
BibTeX:
@article{Popkov2010_vol2010,
  author = {Vladislav Popkov and Gunter M Schuetz and Damien Simon},
  title = {ASEP on a ring conditioned on enhanced flux},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2010},
  volume = {2010},
  number = {10},
  pages = {P10007},
  url = {http://stacks.iop.org/1742-5468/2010/i=10/a=P10007}
}
Puglisi, A., Pigolotti, S., Rondoni, L. and Vulpiani, A. Entropy production and coarse graining in Markov processes 2010 J. Stat. Mech: Theory Exp.(05), pp. P05015  article URL 
Abstract: We study the large time fluctuations of entropy production in Markov
processes. In particular, we consider the effect of a coarse-graining
procedure which decimates fast states with respect to a given time threshold.
Our results provide strong evidence that entropy production is not directly
affected by this decimation, provided that it does not entirely remove loops
carrying a net probability current. After the study of some examples of
random walks on simple graphs, we apply our analysis to a network model for
the kinesin cycle, which is an important biomolecular motor. A tentative
general theory of these facts, based on Schnakenberg's network theory, is
proposed.
BibTeX:
@article{Puglisi2010_vol2010,
  author = {Puglisi, A. and Pigolotti, S. and Rondoni, L. and Vulpiani, A.},
  title = {Entropy production and coarse graining in Markov processes},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2010},
  number = {05},
  pages = {P05015},
  url = {http://stacks.iop.org/1742-5468/2010/i=05/a=P05015}
}
Ramaswamy, S. The Mechanics and Statistics of Active Matter 2010 Annu. Rev. Condens. Matter Phys.
Vol. 1(1), pp. 323-345 
review DOI URL 
BibTeX:
@review{Ramaswamy2010_vol1,
  author = {Ramaswamy, S.},
  title = {The Mechanics and Statistics of Active Matter},
  journal = {Annu. Rev. Condens. Matter Phys.},
  year = {2010},
  volume = {1},
  number = {1},
  pages = {323--345},
  url = {http://www.annualreviews.org/doi/abs/10.1146/annurev-conmatphys-070909-104101},
  doi = {https://doi.org/10.1146/annurev-conmatphys-070909-104101}
}
Sagawa, T. and Ueda, M. Generalized Jarzynski Equality under Nonequilibrium Feedback Control 2010 Phys. Rev. Lett.
Vol. 104(9), pp. 090602 
article DOI  
Abstract: The Jarzynski equality is generalized to situations in which nonequilibrium
systems are subject to a feedback control. The new terms that arise as a
consequence of the feedback describe the mutual information content obtained
by measurement and the efficacy of the feedback control. Our results lead to
a generalized fluctuation-dissipation theorem that reflects the readout
information, and they can be experimentally tested using small thermodynamic
systems. We illustrate our general results by introducing an "information
ratchet'', which can transport a Brownian particle in one direction and
extract positive work from the particle.
BibTeX:
@article{Sagawa2010_vol104,
  author = {Sagawa, T. and Ueda, M.},
  title = {Generalized Jarzynski Equality under Nonequilibrium Feedback Control},
  journal = {Phys. Rev. Lett.},
  publisher = {Amer Physical Soc},
  year = {2010},
  volume = {104},
  number = {9},
  pages = {090602},
  doi = {https://doi.org/10.1103/PhysRevLett.104.090602}
}
Seifert, U. Generalized Einstein or Green-Kubo Relations for Active Biomolecular Transport 2010 Phys. Rev. Lett.
Vol. 104(13), pp. 138101 
article DOI  
Comment: 5
BibTeX:
@article{Seifert2010_vol104,
  author = {Seifert, U.},
  title = {Generalized Einstein or Green-Kubo Relations for Active Biomolecular Transport},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2010},
  volume = {104},
  number = {13},
  pages = {138101},
  doi = {https://doi.org/10.1103/PhysRevLett.104.138101}
}
Seifert, U. and Speck, T. Fluctuation-dissipation theorem in nonequilibrium steady states 2010 Europhys. Lett.
Vol. 89(1), pp. 10007 
article URL 
Abstract: In equilibrium, the fluctuation-dissipation theorem (FDT) expresses the
response of an observable to a small perturbation by a correlation function
of this variable with another one that is conjugate to the perturbation with
respect to energy . For a nonequilibrium steady state (NESS), the
corresponding FDT is shown to involve in the correlation function a variable
that is conjugate with respect to entropy . By splitting up entropy
production into one of the system and one of the medium, it is shown that for
systems with a genuine equilibrium state the FDT of the NESS differs from its
equilibrium form by an additive term involving total entropy production. A
related variant of the FDT not requiring explicit knowledge of the stationary
state is particularly useful for coupled Langevin systems. The a priori
surprising freedom apparently involved in different forms of the FDT in a
NESS is clarified.
BibTeX:
@article{Seifert2010_vol89,
  author = {U. Seifert and T. Speck},
  title = {Fluctuation-dissipation theorem in nonequilibrium steady states},
  journal = {Europhys. Lett.},
  year = {2010},
  volume = {89},
  number = {1},
  pages = {10007},
  url = {http://stacks.iop.org/0295-5075/89/i=1/a=10007}
}
Sekimoto, K. Stochastic Energetics 2010
Vol. 799 
book DOI URL 
BibTeX:
@book{Book_Sekimoto2010,
  author = {Sekimoto, K.},
  title = {Stochastic Energetics},
  publisher = {Springer, Berlin/Heidelberg},
  year = {2010},
  volume = {799},
  url = {http://doi.org/10.1007/978-3-642-05411-2},
  doi = {https://doi.org/10.1007/978-3-642-05411-2}
}
Singh, N. and Wynants, B. Dynamical fluctuations for periodically driven diffusions 2010 J. Stat. Mech: Theory Exp.(03), pp. P03007  article URL 
Abstract: We study dynamical fluctuations in overdamped diffusion processes driven by
time periodic forces. This is done by studying fluctuation functionals (rate
functions from large deviation theory) of fluctuations around the
non-equilibrium steady regime. We identify a concept called traffic. This
traffic, which was introduced in the context of non-equilibrium steady state
statistics, is extended here to time-dependent but periodic forces. We
discuss the fluctuation functionals of occupations and currents, and work out
some specific examples. The connections between these and non-equilibrium
thermodynamic potentials, their corresponding variational principles and
their Legendre transforms are also discussed.
BibTeX:
@article{Singh2010_vol2010,
  author = {Navinder Singh and Bram Wynants},
  title = {Dynamical fluctuations for periodically driven diffusions},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2010},
  number = {03},
  pages = {P03007},
  url = {http://stacks.iop.org/1742-5468/2010/i=03/a=P03007}
}
Touchette, H. Methods for calculating nonconcave entropies 2010 J. Stat. Mech: Theory Exp.(05), pp. P05008  article URL 
Abstract: Five different methods which can be used to analytically calculate entropies
that are nonconcave as functions of the energy in the thermodynamic limit are
discussed and compared. The five methods are based on the following ideas and
techniques: (i)�microcanonical contraction, (ii) metastable branches of the
free energy, (iii) generalized canonical ensembles with specific
illustrations involving the so-called Gaussian and Betrag ensembles, (iv) the
restricted canonical ensemble, and (v) the inverse Laplace transform. A
simple long-range spin model having a nonconcave entropy is used to
illustrate each method.
BibTeX:
@article{Touchette2010_vol2010,
  author = {Hugo Touchette},
  title = {Methods for calculating nonconcave entropies},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2010},
  number = {05},
  pages = {P05008},
  url = {http://stacks.iop.org/1742-5468/2010/i=05/a=P05008}
}
Toyabe, S., Okamoto, T., Watanabe-Nakayama, T., Taketani, H., Kudo, S. and Muneyuki, E. Nonequilibrium Energetics of a Single F1-ATPase Molecule 2010 Phys. Rev. Lett.
Vol. 104(19), pp. 198103 
article DOI  
BibTeX:
@article{Toyabe2010_vol104,
  author = {Toyabe, S. and Okamoto, T. and Watanabe-Nakayama, T. and Taketani, H. and Kudo, S. and Muneyuki, E.},
  title = {Nonequilibrium Energetics of a Single F1-ATPase Molecule},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2010},
  volume = {104},
  number = {19},
  pages = {198103},
  doi = {https://doi.org/10.1103/PhysRevLett.104.198103}
}
Toyabe, S., Sagawa, T., Ueda, M., Muneyuki, E. and Sano, M. Experimental demonstration of information-to-energy conversion and validation of the generalized Jarzynski equality 2010 Nat. Phys.
Vol. 6(12), pp. 988-992 
article DOI  
Abstract: In 1929, Leo Szilard invented a feedback protocol(1) in which a hypothetical
intelligence-dubbed Maxwell's demon-pumps heat from an isothermal environment
and transforms it into work. After a long-lasting and intense controversy it
was finally clarified that the demon's role does not contradict the second
law of thermodynamics, implying that we can, in principle, convert
information to free energy(2-6). An experimental demonstration of this
information-to-energy conversion, however, has been elusive. Here we
demonstrate that a non-equilibrium feedback manipulation of a Brownian
particle on the basis of information about its location achieves a
Szilard-type information-to-energy conversion. Using real-time feedback
control, the particle is made to climb up a spiral-staircase-like potential
exerted by an electric field and gains free energy larger than the amount of
work done on it. This enables us to verify the generalized Jarzynski
equality(7), and suggests a new fundamental principle of an
'information-to-heat engine' that converts information into energy by
feedback control.
BibTeX:
@article{Toyabe2010_vol6,
  author = {Toyabe, S. and Sagawa, T. and Ueda, M. and Muneyuki, E. and Sano, M.},
  title = {Experimental demonstration of information-to-energy conversion and validation of the generalized Jarzynski equality},
  journal = {Nat. Phys.},
  publisher = {Nature Publishing Group},
  year = {2010},
  volume = {6},
  number = {12},
  pages = {988--992},
  doi = {https://doi.org/10.1038/NPHYS1821}
}
V Viasnoff N Chiaruttini, J.M. and Bockelmann, U. Force ?uctuations assist nanopore unzipping of DNA 2010 J. Phys.: Condens. Matter
Vol. 22 
article  
BibTeX:
@article{Viasnoff2010_vol22,
  author = {V Viasnoff, N Chiaruttini, J Muzard and U Bockelmann},
  title = {Force ?uctuations assist nanopore unzipping of DNA},
  journal = {J. Phys.: Condens. Matter},
  year = {2010},
  volume = {22}
}
Van den Broeck, C. The many faces of the second law 2010 J. Stat. Mech: Theory Exp.(10), pp. P10009  article  
Abstract: There exists no perpetuum mobile of the second kind. We review the
implications of this observation on the second law, on the efficiency of
thermal machines, on Onsager symmetry, on Brownian motors and Brownian
refrigerators, and on the universality of efficiency of thermal machines at
maximum power. We derive a microscopic expression for the stochastic entropy
production, and obtain from it the detailed and integral fluctuation theorem.
We close with the remarkable observation that the second law can be split in
two: the total entropy production is the sum of two contributions each of
which is growing independently in time.
BibTeX:
@article{Broeck2010_vol,
  author = {Van den Broeck, C.},
  title = {The many faces of the second law},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2010},
  number = {10},
  pages = {P10009}
}
Van den Broeck, C. Thermodynamics of Information: Bits for less or more for bits? 2010 Nat. Phys.
Vol. {6}({12}), pp. {937-938} 
article DOI  
BibTeX:
@article{VandenBroeck2010_vol6,
  author = {Van den Broeck, C.},
  title = {Thermodynamics of Information: Bits for less or more for bits?},
  journal = {Nat. Phys.},
  publisher = {NATURE PUBLISHING GROUP},
  year = {2010},
  volume = {6},
  number = {12},
  pages = {937--938},
  doi = {https://doi.org/10.1038/nphys1834}
}
Van den Broeck, C. and Esposito, M. Three faces of the second law. II. Fokker-Planck formulation 2010 Phys. Rev. E
Vol. 82(1), pp. 011144 
article DOI  
Abstract: The total entropy production is the sum of two contributions, the so-called
adiabatic and nonadiabatic entropy productions, each of which is
non-negative. We derive their explicit expressions for continuous Markovian
processes, discuss their properties, and illustrate their behavior on two
exactly solvable models.
BibTeX:
@article{VandenBroeck2010_vol82,
  author = {Van den Broeck, C. and Esposito, M.},
  title = {Three faces of the second law. II. Fokker-Planck formulation},
  journal = {Phys. Rev. E},
  publisher = {Amer Physical Soc},
  year = {2010},
  volume = {82},
  number = {1},
  pages = {011144},
  doi = {https://doi.org/10.1103/PhysRevE.82.011144}
}
Wang, J., Zhang, K. and Wang, E. Kinetic paths, time scale, and underlying landscapes: A path integral framework to study global natures of nonequilibrium systems and networks 2010 J. Chem. Phys.
Vol. 133(12), pp. - 
article DOI URL 
BibTeX:
@article{Wang2010_vol133,
  author = {Wang, Jin and Zhang, Kun and Wang, Erkwang},
  title = {Kinetic paths, time scale, and underlying landscapes: A path integral framework to study global natures of nonequilibrium systems and networks},
  journal = {J. Chem. Phys.},
  year = {2010},
  volume = {133},
  number = {12},
  pages = {-},
  url = {http://scitation.aip.org/content/aip/journal/jcp/133/12/10.1063/1.3478547},
  doi = {https://doi.org/10.1063/1.3478547}
}
Wynants, B. Structures of nonequilibrium fluctuations: dissipation and activity 2010 arXivSchool: Universiteit K.U. Leuven  phdthesis  
BibTeX:
@phdthesis{Wynants2010_vol,
  author = {Wynants, B.},
  title = {Structures of nonequilibrium fluctuations: dissipation and activity},
  journal = {arXiv},
  school = {Universiteit K.U. Leuven},
  year = {2010}
}
Zhou, Y. and Segal, D. Minimal model of a heat engine: Information theory approach 2010 Phys. Rev. E
Vol. 82(1), pp. 011120 
article DOI  
BibTeX:
@article{Zhou2010_vol82,
  author = {Zhou, Y. and Segal, D.},
  title = {Minimal model of a heat engine: Information theory approach},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2010},
  volume = {82},
  number = {1},
  pages = {011120},
  doi = {https://doi.org/10.1103/PhysRevE.82.011120}
}
Esposito, M., Harbola, U. and Mukamel, S. Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems 2009 Rev. Mod. Phys.
Vol. 81, pp. 1665-1702 
article DOI URL 
BibTeX:
@article{Esposito2009_vol81,
  author = {Esposito, M. and Harbola, U. and Mukamel, S.},
  title = {Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {2009},
  volume = {81},
  pages = {1665--1702},
  url = {http://link.aps.org/doi/10.1103/RevModPhys.81.1665},
  doi = {https://doi.org/10.1103/RevModPhys.81.1665}
}
Manwell, J.F., McGowan, J.G. and Rogers, A.L. Wind Energy Explained: Theory, Design and Application 2009   book DOI  
BibTeX:
@book{Manwell2009vol,
  author = {Manwell, J. F. and McGowan, J. G. and Rogers, A. L.},
  title = {Wind Energy Explained: Theory, Design and Application},
  publisher = {Wiley},
  year = {2009},
  doi = {https://doi.org/10.1002/9781119994367}
}
Rutten, B., Esposito, M. and Cleuren, B. Reaching optimal efficiencies using nanosized photoelectric devices 2009 Phys. Rev. B
Vol. 80, pp. 235122 
article DOI URL 
BibTeX:
@article{Rutten2009_vol80,
  author = {Rutten, B. and Esposito, M. and Cleuren, B.},
  title = {Reaching optimal efficiencies using nanosized photoelectric devices},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2009},
  volume = {80},
  pages = {235122},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.80.235122},
  doi = {https://doi.org/10.1103/PhysRevB.80.235122}
}
Attard, P. Statistical mechanical theory for nonequilibrium systems. X. Nonequilibrium phase transitions 2009 J. Chem. Phys.
Vol. 131(18), pp. 184509 
article DOI  
BibTeX:
@article{Attard_2009,
  author = {Phil Attard},
  title = {Statistical mechanical theory for nonequilibrium systems. X. Nonequilibrium phase transitions},
  journal = {J. Chem. Phys.},
  publisher = {AIP Publishing},
  year = {2009},
  volume = {131},
  number = {18},
  pages = {184509},
  doi = {https://doi.org/10.1063/1.3259194}
}
Dammak, H., Chalopin, Y., Laroche, M., Hayoun, M. and Greffet, J.-J. Quantum Thermal Bath for Molecular Dynamics Simulation 2009 Phys. Rev. Lett.
Vol. 103, pp. 190601 
article DOI URL 
BibTeX:
@article{Dammak2009_vol103,
  author = {Dammak, Hichem and Chalopin, Yann and Laroche, Marine and Hayoun, Marc and Greffet, Jean-Jacques},
  title = {Quantum Thermal Bath for Molecular Dynamics Simulation},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2009},
  volume = {103},
  pages = {190601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.103.190601},
  doi = {https://doi.org/10.1103/PhysRevLett.103.190601}
}
Ge, H. and Qian, H. Thermodynamic Limit of a Nonequilibrium Steady State: Maxwell-Type Construction for a Bistable Biochemical System 2009 Phys. Rev. Lett.
Vol. 103, pp. 148103 
article DOI URL 
BibTeX:
@article{Ge2009_vol103,
  author = {Ge, Hao and Qian, Hong},
  title = {Thermodynamic Limit of a Nonequilibrium Steady State: Maxwell-Type Construction for a Bistable Biochemical System},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2009},
  volume = {103},
  pages = {148103},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.103.148103},
  doi = {https://doi.org/10.1103/PhysRevLett.103.148103}
}
Einax, M. and Maass, P. Work distributions for Ising chains in a time-dependent magnetic field 2009 Phys. Rev. E
Vol. 80, pp. 020101 
article DOI URL 
BibTeX:
@article{Einax2009_vol80,
  author = {Einax, M. and Maass, P.},
  title = {Work distributions for Ising chains in a time-dependent magnetic field},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2009},
  volume = {80},
  pages = {020101},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.80.020101},
  doi = {https://doi.org/10.1103/PhysRevE.80.020101}
}
Baule, A. and Cohen, E.G.D. Steady-state work fluctuations of a dragged particle under external and thermal noise 2009 Phys. Rev. E
Vol. 80, pp. 011110 
article DOI URL 
BibTeX:
@article{Baule2009_vol80,
  author = {Baule, A. and Cohen, E. G. D.},
  title = {Steady-state work fluctuations of a dragged particle under external and thermal noise},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2009},
  volume = {80},
  pages = {011110},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.80.011110},
  doi = {https://doi.org/10.1103/PhysRevE.80.011110}
}
Wu, D., Ghosh, K., Inamdar, M., Lee, H.J., Fraser, S., Dill, K. and Phillips, R. Trajectory Approach to Two-State Kinetics of Single Particles on Sculpted Energy Landscapes 2009 Phys. Rev. Lett.
Vol. 103, pp. 050603 
article DOI URL 
BibTeX:
@article{Wu2009_vol103,
  author = {Wu, D. and Ghosh, K. and Inamdar, M. and Lee, H. J. and Fraser, S. and Dill, K. and Phillips, R.},
  title = {Trajectory Approach to Two-State Kinetics of Single Particles on Sculpted Energy Landscapes},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2009},
  volume = {103},
  pages = {050603},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.103.050603},
  doi = {https://doi.org/10.1103/PhysRevLett.103.050603}
}
Gerritsma, E. and Gaspard, P. Discrete- versus continuous-state descriptions of the F1-ATPase molecular motor 2009 arXiv  article  
BibTeX:
@article{Gerritsma2009_vol,
  author = {Gerritsma, E. and Gaspard, P.},
  title = {Discrete- versus continuous-state descriptions of the F1-ATPase molecular motor},
  journal = {arXiv},
  year = {2009}
}
Joubaud, S., Percier, B., Petrosyan, A. and Ciliberto, S. Aging and Effective Temperatures Near a Critical Point 2009 Phys. Rev. Lett.
Vol. 102, pp. 130601 
article DOI URL 
BibTeX:
@article{Joubaud2009_vol102,
  author = {Joubaud, S. and Percier, B. and Petrosyan, A. and Ciliberto, S.},
  title = {Aging and Effective Temperatures Near a Critical Point},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2009},
  volume = {102},
  pages = {130601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.102.130601},
  doi = {https://doi.org/10.1103/PhysRevLett.102.130601}
}
Simon, D. Construction of a Coordinate Bethe Ansatz for the asymmetric simple exclusion process with open boundaries 2009 J. Stat. Mech. (2009) P07017  article DOI  
Abstract: The asymmetric simple exclusion process with open boundaries, which is a very simple model of out-of-equilibrium statistical physics, is known to be integrable. In particular, its spectrum can be described in terms of Bethe roots. The large deviation function of the current can be obtained as well by diagonalizing a modified transition matrix, that is still integrable: the spectrum of this new matrix can be also described in terms of Bethe roots for special values of the parameters. However, due to the algebraic framework used to write the Bethe equations in the previous works, the nature of the excitations and the full structure of the eigenvectors were still unknown. This paper explains why the eigenvectors of the modified transition matrix are physically relevant, gives an explicit expression for the eigenvectors and applies it to the study of atypical currents. It also shows how the coordinate Bethe Ansatz developped for the excitations leads to a simple derivation of the Bethe equations and of the validity conditions of this Ansatz. All the results obtained by de Gier and Essler are recovered and the approach gives a physical interpretation of the exceptional points The overlap of this approach with other tools such as the matrix Ansatz is also discussed. The method that is presented here may be not specific to the asymmetric exclusion process and may be applied to other models with open boundaries to find similar exceptional points.
BibTeX:
@article{Simon2009vol,
  author = {Damien Simon},
  title = {Construction of a Coordinate Bethe Ansatz for the asymmetric simple exclusion process with open boundaries},
  journal = {J. Stat. Mech. (2009) P07017},
  year = {2009},
  doi = {https://doi.org/10.1088/1742-5468/2009/07/P07017}
}
Gorissen, M., Hooyberghs, J. and Vanderzande, C. Density-matrix renormalization-group study of current and activity fluctuations near nonequilibrium phase transitions 2009 Phys. Rev. E
Vol. 79, pp. 020101 
article DOI URL 
BibTeX:
@article{Gorissen2009_vol79,
  author = {Gorissen, Mieke and Hooyberghs, Jef and Vanderzande, Carlo},
  title = {Density-matrix renormalization-group study of current and activity fluctuations near nonequilibrium phase transitions},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2009},
  volume = {79},
  pages = {020101},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.79.020101},
  doi = {https://doi.org/10.1103/PhysRevE.79.020101}
}
Horowitz, J. and Jarzynski, C. Illustrative example of the relationship between dissipation and relative entropy 2009 Phys. Rev. E
Vol. 79, pp. 021106 
article DOI URL 
BibTeX:
@article{Horowitz2009_vol79,
  author = {Horowitz, J. and Jarzynski, C.},
  title = {Illustrative example of the relationship between dissipation and relative entropy},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2009},
  volume = {79},
  pages = {021106},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.79.021106},
  doi = {https://doi.org/10.1103/PhysRevE.79.021106}
}
Gaveau, B., Moreau, M. and Schulman, L.S. Generalized Clausius relation and power dissipation in nonequilibrium stochastic systems 2009 Phys. Rev. E
Vol. 79, pp. 010102 
article DOI URL 
BibTeX:
@article{Gaveau2009_vol79,
  author = {Gaveau, B. and Moreau, M. and Schulman, L. S.},
  title = {Generalized Clausius relation and power dissipation in nonequilibrium stochastic systems},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2009},
  volume = {79},
  pages = {010102},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.79.010102},
  doi = {https://doi.org/10.1103/PhysRevE.79.010102}
}
Kurchan, J. Six out of equilibrium lectures 2009 arXiv  article  
BibTeX:
@article{Kurchan2009_vol,
  author = {Kurchan, J.},
  title = {Six out of equilibrium lectures},
  journal = {arXiv},
  year = {2009}
}
Astumian, R.D. and Brody, R. Thermodynamics of Gradient Driven Transport: Application to Single-Particle Tracking 2009 J. Phys. Chem. B
Vol. 113(33), pp. 11459-11462 
article DOI  
BibTeX:
@article{Astumian2009_vol113,
  author = {Astumian, R. Dean and Brody, Ross},
  title = {Thermodynamics of Gradient Driven Transport: Application to Single-Particle Tracking},
  journal = {J. Phys. Chem. B},
  year = {2009},
  volume = {113},
  number = {33},
  pages = {11459--11462},
  doi = {https://doi.org/10.1021/jp903746j}
}
Baiesi, M., Maes, C. and Wynants, B. Fluctuations and Response of Nonequilibrium States 2009 Phys. Rev. Lett.
Vol. 103, pp. 010602 
article DOI  
BibTeX:
@article{Baiesi2009_vol103,
  author = {Baiesi, M. and Maes, C. and Wynants, B.},
  title = {Fluctuations and Response of Nonequilibrium States},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2009},
  volume = {103},
  pages = {010602},
  doi = {https://doi.org/10.1103/PhysRevLett.103.010602}
}
Baiesi, M., Maes, C. and Wynants, B. Nonequilibrium Linear Response for Markov Dynamics, I: Jump Processes and Overdamped Diffusions 2009 J. Stat. Phys.
Vol. 137(5-6), pp. 1094-1116 
article DOI  
Abstract: Systems out of equilibrium, in stationary as well as in nonstationary
regimes, display a linear response to energy impulses simply expressed as the
sum of two specific temporal correlation functions. There is a natural
interpretation of these quantities. The first term corresponds to the
correlation between observable and excess entropy flux yielding a relation
with energy dissipation like in equilibrium. The second term comes with a new
meaning: it is the correlation between the observable and the excess in
dynamical activity or reactivity, playing an important role in dynamical
fluctuation theory out-of-equilibrium. It appears as a generalized escape
rate in the occupation statistics. The resulting response formula holds for
all observables and allows direct numerical or experimental evaluation, for
example in the discussion of effective temperatures, as it only involves the
statistical averaging of explicit quantities, e.g. without needing an
expression for the nonequilibrium distribution. The physical interpretation
and the mathematical derivation are independent of many details of the
dynamics, but in this first part they are restricted to Markov jump processes
and overdamped diffusions.
BibTeX:
@article{Baiesi2009_vol137,
  author = {Baiesi, M. and Maes, C. and Wynants, B.},
  title = {Nonequilibrium Linear Response for Markov Dynamics, I: Jump Processes and Overdamped Diffusions},
  journal = {J. Stat. Phys.},
  publisher = {SPRINGER},
  year = {2009},
  volume = {137},
  number = {5-6},
  pages = {1094--1116},
  doi = {https://doi.org/10.1007/s10955-009-9852-8}
}
Bonaldi, M., Conti, L., De Gregorio, P., Rondoni, L., Vedovato, G., Vinante, A., Bignotto, M., Cerdonio, M., Falferi, P., Liguori, N., Longo, S., Mezzena, R., Ortolan, A., Prodi, G.A., Salemi, F., Taffarello, L., Vitale, S. and Zendri, J.-P. Nonequilibrium Steady-State Fluctuations in Actively Cooled Resonators 2009 Phys. Rev. Lett.
Vol. 103, pp. 010601 
article DOI URL 
BibTeX:
@article{Bonaldi2009_vol103,
  author = {Bonaldi, M. and Conti, L. and De Gregorio, P. and Rondoni, L. and Vedovato, G. and Vinante, A. and Bignotto, M. and Cerdonio, M. And Falferi, P. and Liguori, N. and Longo, S. and Mezzena, R. and Ortolan, A. and Prodi, G. A. and Salemi, F. and Taffarello, L. and Vitale, S. and Zendri, J.-P.},
  title = {Nonequilibrium Steady-State Fluctuations in Actively Cooled Resonators},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2009},
  volume = {103},
  pages = {010601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.103.010601},
  doi = {https://doi.org/10.1103/PhysRevLett.103.010601}
}
Caillol, J.-M. Exact renormalization group: a new method for blocking the action 2009 J. Phys. A: Math. Theor.
Vol. 42(22), pp. 225004 
article URL 
Abstract: We consider the exact renormalization group for a non-canonical scalar field
theory in which the field is coupled to the external source in a special
nonlinear way. The Wilsonian action and the average effective action are then
simply related by a Legendre transformation up to a trivial quadratic form.
An exact mapping between canonical and non-canonical theories is obtained as
well as the relations between their flows. An application to the theory of
liquids is sketched.
BibTeX:
@article{Caillol2009_vol42,
  author = {Jean-Michel Caillol},
  title = {Exact renormalization group: a new method for blocking the action},
  journal = {J. Phys. A: Math. Theor.},
  year = {2009},
  volume = {42},
  number = {22},
  pages = {225004},
  url = {http://stacks.iop.org/1751-8121/42/i=22/a=225004}
}
Campa, A., Dauxois, T. and Ruffo, S. Statistical mechanics and dynamics of solvable models with long-range interactions 2009 Phys. Rep.
Vol. 480(3?6), pp. 57-159 
article DOI URL 
BibTeX:
@article{Campa2009_vol480,
  author = {Alessandro Campa and Thierry Dauxois and Stefano Ruffo},
  title = {Statistical mechanics and dynamics of solvable models with long-range interactions},
  journal = {Phys. Rep.},
  year = {2009},
  volume = {480},
  number = {3?6},
  pages = {57--159},
  url = {http://www.sciencedirect.com/science/article/pii/S0370157309001586},
  doi = {https://doi.org/10.1016/j.physrep.2009.07.001}
}
Campisi, M., Talkner, P. and Hänggi, P. Fluctuation Theorem for Arbitrary Open Quantum Systems 2009 Phys. Rev. Lett.
Vol. 102, pp. 210401 
article DOI URL 
BibTeX:
@article{Campisi2009_vol102,
  author = {Campisi, M. and Talkner, P. and Hänggi, P.},
  title = {Fluctuation Theorem for Arbitrary Open Quantum Systems},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2009},
  volume = {102},
  pages = {210401},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.102.210401},
  doi = {https://doi.org/10.1103/PhysRevLett.102.210401}
}
Cavagna, A. Supercooled liquids for pedestrians 2009 Phys. Rep.
Vol. 476(4?6), pp. 51-124 
review DOI URL 
Abstract: When we lower the temperature of a liquid, at some point we meet a first
order phase transition to the crystal. Yet, under certain conditions it is
possible to keep the system in its metastable phase and to avoid
crystallization. In this way the liquid enters in the supercooled phase.
Supercooled liquids have a very rich phenomenology, which is still far from
being completely understood. To begin with, there is the problem of how to
prevent crystallization and how deeply the liquid can be supercooled before a
metastability limit is hit. But by far the most interesting feature of
supercooled liquids is the dynamic glass transition: when the temperature is
decreased below a certain point, the relaxation time increases so much that a
dramatic dynamical arrest intervenes and we are unable to equilibrate the
system within reasonable experimental times. The glass transition is a
phenomenon whose physical origin has stirred an enormous interest in the last
hundred years. Why does it occur? Is it just a conventional reference point,
or does it have a more profound physical meaning? Is it a purely dynamical
event, or the manifestation of a true thermodynamic transition? What is the
correlation length associated to the sharp increase of the relaxation time?
Can we define a new kind of amorphous order? A shared theory of supercooled
liquids and the glass transition does not yet exist and these questions are
still largely open. Here, I will illustrate in the most elementary fashion
the main phenomenological traits of supercooled liquids and discuss in a very
partial way a few theoretical ideas on the subject.
BibTeX:
@review{Cavagna2009_vol476,
  author = {Andrea Cavagna},
  title = {Supercooled liquids for pedestrians},
  journal = {Phys. Rep.},
  year = {2009},
  volume = {476},
  number = {4?6},
  pages = {51--124},
  url = {http://www.sciencedirect.com/science/article/pii/S0370157309001112},
  doi = {https://doi.org/10.1016/j.physrep.2009.03.003}
}
Chakrabarti, R. Transient state work fluctuation theorem for a classical harmonic oscillator linearly coupled to a harmonic bath 2009 Pramana
Vol. 72, pp. 665 
article URL 
BibTeX:
@article{Chakrabarti2009_vol72,
  author = {Rajarshi Chakrabarti},
  title = {Transient state work fluctuation theorem for a classical harmonic oscillator linearly coupled to a harmonic bath},
  journal = {Pramana},
  year = {2009},
  volume = {72},
  pages = {665},
  url = {http://www.ias.ac.in/}
}
Chelli, R. Nonequilibrium work relations for systems subject to mechanical and thermal changes 2009 J. Chem. Phys.
Vol. 130(5), pp. 054102 
article DOI URL 
BibTeX:
@article{Chelli2009_vol130,
  author = {Riccardo Chelli},
  title = {Nonequilibrium work relations for systems subject to mechanical and thermal changes},
  journal = {J. Chem. Phys.},
  publisher = {AIP},
  year = {2009},
  volume = {130},
  number = {5},
  pages = {054102},
  url = {http://link.aip.org/link/?JCP/130/054102/1},
  doi = {https://doi.org/10.1063/1.3067878}
}
Chétrite, R. Fluctuation relations for diffusion that is thermally driven by a nonstationary bath 2009 Phys. Rev. E
Vol. 80(5), pp. 051107 
article DOI  
BibTeX:
@article{Chetrite2009_vol80,
  author = {Chétrite, R.},
  title = {Fluctuation relations for diffusion that is thermally driven by a nonstationary bath},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2009},
  volume = {80},
  number = {5},
  pages = {051107},
  doi = {https://doi.org/10.1103/PhysRevE.80.051107}
}
Chétrite, R. and Gawedzki, K. Eulerian and Lagrangian Pictures of Non-equilibrium Diffusions 2009 J. Stat. Phys.
Vol. 137, pp. 890 
article DOI  
BibTeX:
@article{Chetrite2009_vol137,
  author = {Chétrite, R. and Gawedzki, K.},
  title = {Eulerian and Lagrangian Pictures of Non-equilibrium Diffusions},
  journal = {J. Stat. Phys.},
  year = {2009},
  volume = {137},
  pages = {890},
  doi = {https://doi.org/10.1007/s10955-009-9803-4}
}
Depondt, P. La boîte à outil de la physique num�rique 2009   unpublished  
BibTeX:
@unpublished{Notes_Depondt2009,
  author = {P. Depondt},
  title = {La boîte à outil de la physique num�rique},
  year = {2009}
}
Doyle, P.G., Leibon, G. and Steiner, J. Conformal geometry of Markov chains 2009 Version 4A1 GNU FDL  article  
BibTeX:
@article{Doyle2009_vol,
  author = {P. G. Doyle and G. Leibon and J. Steiner},
  title = {Conformal geometry of Markov chains},
  journal = {Version 4A1 GNU FDL},
  year = {2009}
}
Dreyfus, R., Lacoste, D., Bibette, J. and Baudry, J. Measuring colloidal forces with the magnetic chaining technique 2009 Eur. Phys. J. E
Vol. 28(2), pp. 113-123 
article DOI URL 
BibTeX:
@article{DreyfusR.2009_vol28,
  author = {Dreyfus, R. and Lacoste, D. and Bibette, J. and Baudry, J.},
  title = {Measuring colloidal forces with the magnetic chaining technique},
  journal = {Eur. Phys. J. E},
  year = {2009},
  volume = {28},
  number = {2},
  pages = {113--123},
  url = {http://dx.doi.org/10.1140/epje/i2008-10414-4},
  doi = {https://doi.org/10.1140/epje/i2008-10414-4}
}
van Duijvendijk, K. Applications de la thermodynamique des histoires aux syst�mes vitreux 2009 School: ?UNIVERSITE PARIS DIDEROT  phdthesis  
BibTeX:
@phdthesis{Duijvendijk2009_vol,
  author = {van Duijvendijk, K.},
  title = {Applications de la thermodynamique des histoires aux syst�mes vitreux},
  school = {?UNIVERSITE PARIS DIDEROT},
  year = {2009}
}
Esposito, M., Lindenberg, K. and Van den Broeck, C. Thermoelectric efficiency at maximum power in a quantum dot 2009 Europhys. Lett.
Vol. 85, pp. 60010 
article DOI  
BibTeX:
@article{Esposito2009_vol85,
  author = {Esposito, M. and Lindenberg, K. and Van den Broeck, C.},
  title = {Thermoelectric efficiency at maximum power in a quantum dot},
  journal = {Europhys. Lett.},
  year = {2009},
  volume = {85},
  pages = {60010},
  doi = {https://doi.org/10.1209/0295-5075/85/60010}
}
Esposito, M., Lindenberg, K. and Van den Broeck, C. Universality of Efficiency at Maximum Power 2009 Phys. Rev. Lett.
Vol. 102(13), pp. 130602 
article DOI  
BibTeX:
@article{Esposito2009_vol102,
  author = {Esposito, M. and Lindenberg, K. and Van den Broeck, C.},
  title = {Universality of Efficiency at Maximum Power},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2009},
  volume = {102},
  number = {13},
  pages = {130602},
  doi = {https://doi.org/10.1103/PhysRevLett.102.130602}
}
Falcón, C. and Falcon, É. Fluctuations of energy flux in a simple dissipative out-of-equilibrium system 2009 Phys. Rev. E
Vol. 79, pp. 041110 
article DOI URL 
BibTeX:
@article{Falcon2009_vol79,
  author = {Falcón, C. and Falcon, É.},
  title = {Fluctuations of energy flux in a simple dissipative out-of-equilibrium system},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2009},
  volume = {79},
  pages = {041110},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.79.041110},
  doi = {https://doi.org/10.1103/PhysRevE.79.041110}
}
Flindt, C., Fricke, C., Hohls, F., Novotn�, T., Neto?n�, K., Brandes, T. and Haug, R.J. Universal oscillations in counting statistics 2009 Proc. Natl. Acad. Sci. U.S.A.
Vol. 106(25), pp. 10116-10119 
article DOI URL 
Abstract: Noise is a result of stochastic processes that originate from quantum or
classical sources. Higher-order cumulants of the probability distribution
underlying the stochastic events are believed to contain details that
characterize the correlations within a given noise source and its interaction
with the environment, but they are often difficult to measure. Here we report
measurements of the transient cumulants ??nm?? of the number n of passed
charges to very high orders (up to m = 15) for electron transport through a
quantum dot. For large m, the cumulants display striking oscillations as
functions of measurement time with magnitudes that grow factorially with m.
Using mathematical properties of high-order derivatives in the complex plane
we show that the oscillations of the cumulants in fact constitute a universal
phenomenon, appearing as functions of almost any parameter, including time in
the transient regime. These ubiquitous oscillations and the factorial growth
are system-independent and our theory provides a unified interpretation of
previous theoretical studies of high-order cumulants as well as our new
experimental data.
BibTeX:
@article{Flindt2009_vol106,
  author = {Flindt, C. and Fricke, C. and Hohls, F. and Novotn�, T. and Neto?n�, K. and Brandes, T. and Haug, R. J.},
  title = {Universal oscillations in counting statistics},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  year = {2009},
  volume = {106},
  number = {25},
  pages = {10116--10119},
  url = {http://www.pnas.org/content/106/25/10116.abstract},
  doi = {https://doi.org/10.1073/pnas.0901002106}
}
Garrahan, J.P., Jack, R.L., Lecomte, V., Pitard, E., van Duijvendijk, K. and van Wijland, F. First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories 2009 J. Phys. A: Math. Theor.
Vol. 42(7), pp. 075007 
article DOI URL 
Abstract: We investigate the dynamics of kinetically constrained models of glass
formers by analysing the statistics of trajectories of the dynamics, or
histories, using large deviation function methods. We show that, in general,
these models exhibit a first-order dynamical transition between active and
inactive dynamical phases. We argue that the dynamical heterogeneities
displayed by these systems are a manifestation of dynamical first-order phase
coexistence. In particular, we calculate dynamical large deviation functions,
both analytically and numerically, for the Fredrickson?Andersen model, the
East model, and constrained lattice gas models. We also show how large
deviation functions can be obtained from a Landau-like theory for dynamical
fluctuations. We discuss possibilities for similar dynamical
phase-coexistence behaviour in other systems with heterogeneous dynamics.
BibTeX:
@article{Garrahan2009_vol42,
  author = {Garrahan, J. P. and Jack, R. L. and Lecomte, V. and Pitard, E. and van Duijvendijk, K. and van Wijland,F.},
  title = {First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories},
  journal = {J. Phys. A: Math. Theor.},
  year = {2009},
  volume = {42},
  number = {7},
  pages = {075007},
  url = {http://stacks.iop.org/1751-8121/42/i=7/a=075007},
  doi = {https://doi.org/10.1088/1751-8113/42/7/075007}
}
Gomez-Solano, J.R., Petrosyan, A., Ciliberto, S., Chétrite, R. and Gawedzki, K. Experimental Verification of a Modified Fluctuation-Dissipation Relation for a Micron-Sized Particle in a Nonequilibrium Steady State 2009 Phys. Rev. Lett.
Vol. 103(4), pp. 040601 
article DOI  
Abstract: A modified fluctuation-dissipation theorem for a nonequilibrium steady state
is experimentally checked by studying the position fluctuations of a
colloidal particle whose motion is confined in a toroidal optical trap. The
nonequilibrium steady state is generated by means of a rotating laser beam
which exerts on the particle a sinusoidal conservative force plus a constant
nonconservative one. The modified fluctuation-dissipation theorem is
perfectly verified by the experimental data. It can be interpreted as an
equilibrium-like fluctuation-dissipation relation in the Lagrangian frame of
the mean local velocity of the particle.
BibTeX:
@article{Gomez-Solano2009_vol103,
  author = {Gomez-Solano, J. R. and Petrosyan, A. and Ciliberto, S. and Chétrite, R. and Gawedzki, K.},
  title = {Experimental Verification of a Modified Fluctuation-Dissipation Relation for a Micron-Sized Particle in a Nonequilibrium Steady State},
  journal = {Phys. Rev. Lett.},
  publisher = {AMER PHYSICAL SOC},
  year = {2009},
  volume = {103},
  number = {4},
  pages = {040601},
  doi = {https://doi.org/10.1103/PhysRevLett.103.040601}
}
Horvat, M. The ensemble of random Markov matrices 2009 J. Stat. Mech: Theory Exp.  article DOI  
Abstract: The ensemble of random Markov matrices is introduced as a set of Markov or
stochastic matrices with the maximal Shannon entropy. The statistical
properties of the stationary distribution pi, the average entropy growth rate
h and the second-largest eigenvalue nu across the ensemble are studied. It is
shown and heuristically proven that the entropy growth rate and
second-largest eigenvalue of Markov matrices scale on average with the
dimension of the matrices d as h similar to log(O(d)) and vertical bar nu
vertical bar similar to d(-1/2), respectively, yielding the asymptotic
relation h tau(c) similar to 1/2 between the entropy h and the correlation
decay time tau = -1/log vertical bar nu vertical bar. Additionally, the
correlation between h and tau(c) is analysed; it decreases with increasing
dimension d.
BibTeX:
@article{Horvat2009_vol,
  author = {Horvat, M.},
  title = {The ensemble of random Markov matrices},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2009},
  doi = {https://doi.org/10.1088/1742-5468/2009/07/P07005}
}
Imparato, A. and Peliti, L. Work distribution in manipulated single biomolecules 2009 Phys. Biol.
Vol. 6(2), pp. 025011 
article URL 
Abstract: We consider the relation between the microscopic and effective descriptions
of the unfolding experiment on a model polypeptide. We evaluate the
probability distribution function of the work performed by Monte Carlo
simulations and compare it with that obtained by evaluating the work
distribution generating function on an effective Brownian motion model
tailored to reproduce exactly the equilibrium properties. The agreement is
satisfactory for fast protocols, but deteriorates for slower ones, hinting at
the existence of processes on several time scales even in such a simple
system.
BibTeX:
@article{Imparato2009_vol6,
  author = {A Imparato and L Peliti},
  title = {Work distribution in manipulated single biomolecules},
  journal = {Phys. Biol.},
  year = {2009},
  volume = {6},
  number = {2},
  pages = {025011},
  url = {http://stacks.iop.org/1478-3975/6/i=2/a=025011}
}
Jacquet, P.A. ThermoElectric Transport Properties of a Chain of�Quantum Dots with Self-Consistent Reservoirs 2009 J. Stat. Phys.
Vol. 134(4), pp. 709-748 
article DOI URL 
BibTeX:
@article{Jacquet2009_vol134,
  author = {Jacquet, P. A.},
  title = {ThermoElectric Transport Properties of a Chain of�Quantum Dots with Self-Consistent Reservoirs},
  journal = {J. Stat. Phys.},
  year = {2009},
  volume = {134},
  number = {4},
  pages = {709--748},
  url = {http://dx.doi.org/10.1007/s10955-009-9697-1},
  doi = {https://doi.org/10.1007/s10955-009-9697-1}
}
Joubaud, S., Huillard, G., Petrosyan, A. and Ciliberto, S. Work fluctuations in a nematic liquid crystal 2009 J. Stat. Mech: Theory Exp.(01), pp. P01033  article URL 
Abstract: The orientation fluctuations of the director of a liquid crystal are
measured, using a sensitive polarization interferometer, close to the
Fr�edericksz transition, which is a second-order transition driven by an
electric field. Using mean field theory, we define the work injected into the
system by a change of the electric field and we calibrate it using the
fluctuation-dissipation theorem. We show that the work fluctuations satisfy
the transient fluctuation theorem. An analytical justification of this result
is given. The open problems for the out-of-equilibrium case are then
discussed.
BibTeX:
@article{Joubaud2009_vol2009,
  author = {S. Joubaud and G. Huillard and A. Petrosyan and S. Ciliberto},
  title = {Work fluctuations in a nematic liquid crystal},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2009},
  number = {01},
  pages = {P01033},
  url = {http://stacks.iop.org/1742-5468/2009/i=01/a=P01033}
}
Junier, I., Mossa, A., Manosas, M. and Ritort, F. Recovery of Free Energy Branches in Single Molecule Experiments 2009 Phys. Rev. Lett.
Vol. 102, pp. 070602 
article DOI URL 
BibTeX:
@article{Junier2009_vol102,
  author = {Junier, I. and Mossa, A. and Manosas, M. and Ritort, F.},
  title = {Recovery of Free Energy Branches in Single Molecule Experiments},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2009},
  volume = {102},
  pages = {070602},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.102.070602},
  doi = {https://doi.org/10.1103/PhysRevLett.102.070602}
}
Kadanoff, L. More is the Same; Phase Transitions and Mean Field Theories 2009 J. Stat. Phys.
Vol. 137(5-6), pp. 777-797 
article DOI URL 
BibTeX:
@article{Kadanoff2009_vol137,
  author = {Kadanoff, LeoP.},
  title = {More is the Same; Phase Transitions and Mean Field Theories},
  journal = {J. Stat. Phys.},
  publisher = {Springer US},
  year = {2009},
  volume = {137},
  number = {5-6},
  pages = {777--797},
  url = {http://dx.doi.org/10.1007/s10955-009-9814-1},
  doi = {https://doi.org/10.1007/s10955-009-9814-1}
}
Kikuchi, N., Ehrlicher, A., Koch, D., Kas, J.A., Ramaswamy, S. and Rao, M. Buckling, stiffening, and negative dissipation in the dynamics of a biopolymer in an active medium 2009 Proc. Natl. Acad. Sci. U.S.A.
Vol. 106(47), pp. 19776-19779 
article DOI  
Abstract: We present a generic theory for the dynamics of a stiff filament under
tension, in an active medium with orientational correlations, such as a
microtubule in contractile actin. In sharp contrast to the case of a passive
medium, we find the filament can stiffen, and possibly oscillate or buckle,
depending on both the contractile or tensile nature of the activity and the
filament-medium anchoring interaction. We also demonstrate a strong violation
of the fluctuation-dissipation (FD) relation in the effective dynamics of the
filament, including a negative FD ratio. Our approach is also of relevance to
the dynamics of axons, and our model equations bear a remarkable formal
similarity to those in recent work [Martin P, Hudspeth AJ, Juelicher F (2001)
Proc Natl Acad Sci USA 98: 14380-14385] on auditory hair cells. Detailed
tests of our predictions can be made by using a single filament in actomyosin
extracts or bacterial suspensions.
BibTeX:
@article{Kikuchi2009_vol106,
  author = {Kikuchi, N. and Ehrlicher, A. and Koch, D. and Kas, J. A. and Ramaswamy, S. and Rao, M.},
  title = {Buckling, stiffening, and negative dissipation in the dynamics of a biopolymer in an active medium},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  publisher = {Natl Acad Sciences},
  year = {2009},
  volume = {106},
  number = {47},
  pages = {19776--19779},
  doi = {https://doi.org/10.1073/pnas.0900451106}
}
Kolomeisky, A.B. Continuous-time random walks at all times 2009 J. Chem. Phys.
Vol. 131(23) 
article DOI  
Abstract: Continuous-time random walks (CTRW) play an important role in understanding
of a wide range of phenomena. However, most theoretical studies of these
models concentrate only on dynamics at long times. We present a new
theoretical approach, based on generalized master equations picture, which
allowed us to obtain explicit expressions for Laplace transforms for all
dynamic quantities for different CTRW models. This theoretical method leads
to the effective description of CTRW at all times. Specific calculations are
performed for homogeneous, periodic models and for CTRW with irreversible
detachments. The approach to stationary states for CTRW is analyzed. Our
results are also used to analyze generalized fluctuations theorem.
BibTeX:
@article{Kolomeisky2009_vol131,
  author = {Kolomeisky, A. B.},
  title = {Continuous-time random walks at all times},
  journal = {J. Chem. Phys.},
  publisher = {AMER INST PHYSICS},
  year = {2009},
  volume = {131},
  number = {23},
  doi = {https://doi.org/10.1063/1.3276704}
}
Lacoste, D., Brangbour, C., Bibette, J. and Baudry, J. Thermal expansion within a chain of magnetic colloidal particles 2009 Phys. Rev. E
Vol. 80(1), pp. 011401 
article DOI  
Abstract: We study the thermal expansion of chains formed by self-assembly of magnetic
colloidal particles in a magnetic field. Using video microscopy, complete
positional data of all the particles of the chains is obtained. By changing
the ionic strength of the solution and the applied magnetic field, the
interaction potential can be tuned. We analyze the thermal expansion of the
chain using a simple model of a one-dimensional anharmonic crystal of finite
size.
BibTeX:
@article{Lacoste2009_vol80,
  author = {Lacoste, D. and Brangbour, C. and Bibette, J. and Baudry, J.},
  title = {Thermal expansion within a chain of magnetic colloidal particles},
  journal = {Phys. Rev. E},
  publisher = {Amer Physical Soc},
  year = {2009},
  volume = {80},
  number = {1},
  pages = {011401},
  doi = {https://doi.org/10.1103/PhysRevE.80.011401}
}
Liu, F., Luo, Y.P., Huang, M.C. and Ou-Yang, Z.C. A generalized integral fluctuation theorem for general jump processes 2009 J. Phys. A: Math. Theor.
Vol. 42(33), pp. 332003 
article URL 
Abstract: Using the Feynman-“Kac and Cameron-“Martin-“Girsanov formulae, we obtain a
generalized integral fluctuation theorem (GIFT) for discrete jump processes
by constructing a time-invariable inner product. The existing discrete IFTs
can be derived as its specific cases. A connection between our approach and
the conventional time-reversal method is also established. Unlike the latter
approach that has been extensively employed in the existing literature, our
approach can naturally bring out the definition of a time reversal of a
Markovian stochastic system. Additionally, we find that the robust GIFT
usually does not result in a detailed fluctuation theorem.
BibTeX:
@article{Liu2009_vol42,
  author = {Liu, F. and Luo, Y. P. and Huang, M. C. and Ou-Yang, Z. C.},
  title = {A generalized integral fluctuation theorem for general jump processes},
  journal = {J. Phys. A: Math. Theor.},
  year = {2009},
  volume = {42},
  number = {33},
  pages = {332003},
  url = {http://stacks.iop.org/1751-8121/42/i=33/a=332003}
}
Lundstrom, M. Fundamentals of Carrier Transport 2009   book  
BibTeX:
@book{Lundstrom2009vol,
  author = {Mark Lundstrom},
  title = {Fundamentals of Carrier Transport},
  publisher = {Cambridge University Press},
  year = {2009}
}
MacKay, D.J.C. Sustainable energy without the hot air 2009 Cambridge, England UIT  book URL 
BibTeX:
@book{MacKay2009vol,
  author = {MacKay, David J. C.},
  title = {Sustainable energy without the hot air},
  journal = {Cambridge, England UIT},
  publisher = {Cambridge, England},
  year = {2009},
  url = {https://www.amides.fr/sewtha.html}
}
Maes, C., Netocný, K. and Wynants, B. Dynamical fluctuations for semi-Markov processes 2009 J. Phys. A: Math. Theor.
Vol. 42, pp. 365002 
article URL 
Abstract: We develop an Onsager-Machlup-type theory for nonequilibrium semi-Markov
processes. Our main result is an exact large-time asymptotics for the joint
probability of the occupation times and the currents in the system,
establishing some generic large deviation structures. We discuss in detail
how the nonequilibrium driving and the non-exponential waiting time
distribution influence the occupation-current statistics. The violation of
the Markov condition is reflected in the emergence of a new type of
nonlocality in the fluctuations. Explicit solutions are obtained for some
examples of driven random walks on the ring.
BibTeX:
@article{Maes2009_vol42,
  author = {C. Maes and K.l. Netocný and B. Wynants},
  title = {Dynamical fluctuations for semi-Markov processes},
  journal = {J. Phys. A: Math. Theor.},
  year = {2009},
  volume = {42},
  pages = {365002},
  url = {http://stacks.iop.org/1751-8121/42/i=36/a=365002}
}
Mallick, K. Some recent developments in non-equilibrium statistical physics 2009 Pramana-journal of Physics
Vol. 73(3), pp. 417-451 
article URL 
Abstract: We first recall the laws of classical thermodynamics and the fundamental
principles of statistical mechanics and emphasize the fact that the
fluctuations of a system in macroscopic equilibrium, such as Brownian motion,
can be explained by statistical mechanics and not by thermodynamics. In the
vicinity of equilibrium, the susceptibility of a system to an infinitesimal
external perturbation is related to the amplitude of the fluctuations at
equilibrium (Einstein's relation) and exhibits a symmetry discovered by
Onsager. We shall then focus on the mathematical description of systems out
of equilibrium using Markovian dynamics. This will allow us to present some
remarkable relations derived during the last decade and valid arbitrarily far
from equilibrium: the Gallavotti-Cohen fluctuation theorem and Jarzynski's
non-equilibrium work identities. These recent results will be illustrated by
applying them to simple systems such as the Brownian ratchet model for
molecular motors and the asymmetric exclusion process which is a basic
example of a driven lattice gas.
BibTeX:
@article{Mallick2009_vol73,
  author = {Mallick, K.},
  title = {Some recent developments in non-equilibrium statistical physics},
  journal = {Pramana-journal of Physics},
  publisher = {Indian Acad Sciences},
  year = {2009},
  volume = {73},
  number = {3},
  pages = {417--451},
  url = {http://www.ias.ac.in/pramana/v73/p417/fulltext.pdf}
}
Manosas, M., Mossa, A., Forns, N., Huguet, J.M. and Ritort, F. Dynamic force spectroscopy of DNA hairpins: II. Irreversibility and dissipation 2009 J. Stat. Mech: Theory Exp.(02), pp. P02061  article URL 
Abstract: We investigate irreversibility and dissipation in single molecules that
cooperatively fold/unfold in a two-state manner under the action of
mechanical force. We apply path thermodynamics to derive analytical
expressions for the average dissipated work and the average hopping number in
two-state systems. It is shown how these quantities only depend on two
parameters that characterize the folding/unfolding kinetics of the molecule:
the fragility and the coexistence hopping rate. The latter has to be rescaled
to take into account the appropriate experimental set-up. Finally we carry
out pulling experiments with optical tweezers in a specifically designed DNA
hairpin that shows two-state cooperative folding. We then use these
experimental results to validate our theoretical predictions.
BibTeX:
@article{Manosas2009_vol2009,
  author = {M Manosas and A Mossa and N Forns and J M Huguet and F Ritort},
  title = {Dynamic force spectroscopy of DNA hairpins: II. Irreversibility and dissipation},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2009},
  number = {02},
  pages = {P02061},
  url = {http://stacks.iop.org/1742-5468/2009/i=02/a=P02061}
}
Mezard, M. and Montanari, A. Information, Physics, and Computation (Oxford Graduate Texts) 2009   book  
BibTeX:
@book{Book_Mezard2009,
  author = {Mezard, M. and Montanari, A.},
  title = {Information, Physics, and Computation (Oxford Graduate Texts)},
  year = {2009}
}
Michael Cross, H.G. Pattern Formation and Dynamics in Nonequilibrium Systems 2009   book URL 
BibTeX:
@book{Book_Cross2009,
  author = {Michael Cross, Henry Greenside},
  title = {Pattern Formation and Dynamics in Nonequilibrium Systems},
  publisher = {Cambridge University Press},
  year = {2009},
  edition = {1},
  url = {http://gen.lib.rus.ec/book/index.php?md5=677587B21697E0C4974689E2C0D4A469}
}
Moffitt, J.R., Chemla, Y.R., Aathavan, K., Grimes, S., Anderson, D.L. and Bustamante, C. Intersubunit coordination in a homomeric ring ATPase 2009 Nature
Vol. 457, pp. 446-450 
article DOI  
BibTeX:
@article{Moffitt2009_vol457,
  author = {Moffitt, J. R. and Chemla, Y. R. and Aathavan, K. and Grimes, S. and Anderson, D. L. and Bustamante, C.},
  title = {Intersubunit coordination in a homomeric ring ATPase},
  journal = {Nature},
  year = {2009},
  volume = {457},
  pages = {446--450},
  doi = {https://doi.org/10.1038/nature07637}
}
Ohkuma, T. Irreversible work in a thermal medium with colored noise 2009 J. Stat. Mech: Theory Exp.(P10015)  article URL 
Abstract: Irreversible work and its fluctuations in a classical system governed by
non-Markovian stochastic dynamics are investigated. The production of
irreversible work depends not only on the protocol of an operation but also
on the details of the non-Markovian memory. We consider a generalized
Langevin equation with a memory kernel and derive an expression for the
irreversible work in the case of slow operations by carrying out an expansion
of this memory kernel in the parameter representing the length of the memory.
We apply our formulation to a harmonically trapped system and demonstrate the
efficiency of a cycle by evaluating the irreversible work. It is found that a
decrease in the irreversible work due to the memory effect can occur for an
operation through which the trap is squeezed. The results for this harmonic
system are verified exactly in the case that the memory kernel has
exponential decay.
BibTeX:
@article{Ohkuma2009_vol,
  author = {T. Ohkuma},
  title = {Irreversible work in a thermal medium with colored noise},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2009},
  number = {P10015},
  url = {http://stacks.iop.org/1742-5468/2009/i=10/a=P10015}
}
Parrondo, J.M.R., Van den Broeck, C. and Kawai, R. Entropy production and the arrow of time 2009 New J. Phys.
Vol. 11 
article DOI  
Abstract: We present an exact relationship between the entropy production and the
distinguishability of a process from its time-reverse, quantified by the
relative entropy between forward and backward states. The relationship is
shown to remain valid for a wide family of initial conditions, such as
canonical, constrained canonical, multi-canonical and grand canonical
distributions, as well as both for classical and quantum systems.
BibTeX:
@article{Parrondo2009_vol11,
  author = {Parrondo, J. M. R. and Van den Broeck, C. and Kawai, R.},
  title = {Entropy production and the arrow of time},
  journal = {New J. Phys.},
  publisher = {IOP PUBLISHING LTD},
  year = {2009},
  volume = {11},
  doi = {https://doi.org/10.1088/1367-2630/11/7/073008}
}
Prost, J., Joanny, J.-F. and Parrondo, J.M.R. Generalized Fluctuation-Dissipation Theorem for Steady-State Systems 2009 Phys. Rev. Lett.
Vol. 103(9), pp. 090601 
article DOI  
BibTeX:
@article{Prost2009_vol103,
  author = {J. Prost and J.-F. Joanny and J. M. R. Parrondo},
  title = {Generalized Fluctuation-Dissipation Theorem for Steady-State Systems},
  journal = {Phys. Rev. Lett.},
  publisher = {APS},
  year = {2009},
  volume = {103},
  number = {9},
  pages = {090601},
  doi = {https://doi.org/10.1103/PhysRevLett.103.090601}
}
Saha, A., Lahiri, S. and Jayannavar, A.M. Entropy production theorems and some consequences 2009 Phys. Rev. E
Vol. 80(1), pp. 011117 
article DOI  
BibTeX:
@article{Saha2009_vol80,
  author = {Saha, A. and Lahiri, S. and Jayannavar, A. M.},
  title = {Entropy production theorems and some consequences},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2009},
  volume = {80},
  number = {1},
  pages = {011117},
  doi = {https://doi.org/10.1103/PhysRevE.80.011117}
}
Salazar, A., Leyvraz, F. and Larralde, H. Fluctuation theorem for currents in the Spinning Lorentz Gas 2009 Phys. A
Vol. 388(22), pp. 4679-4694 
article DOI URL 
BibTeX:
@article{Salazar2009_vol388,
  author = {A. Salazar and F. Leyvraz and H. Larralde},
  title = {Fluctuation theorem for currents in the Spinning Lorentz Gas},
  journal = {Phys. A},
  year = {2009},
  volume = {388},
  number = {22},
  pages = {4679--4694},
  url = {http://www.sciencedirect.com/science/article/pii/S0378437109005950},
  doi = {https://doi.org/10.1016/j.physa.2009.07.035}
}
Shargel, B. and Chou, T. Fluctuation Theorems for Entropy Production and Heat Dissipation in Periodically Driven Markov Chains 2009 J. Stat. Phys.
Vol. 137(1), pp. 165-188 
article DOI URL 
BibTeX:
@article{Shargel2009_vol137,
  author = {Shargel, B.H. and Chou, T.},
  title = {Fluctuation Theorems for Entropy Production and Heat Dissipation in Periodically Driven Markov Chains},
  journal = {J. Stat. Phys.},
  publisher = {Springer US},
  year = {2009},
  volume = {137},
  number = {1},
  pages = {165--188},
  url = {http://dx.doi.org/10.1007/s10955-009-9836-8},
  doi = {https://doi.org/10.1007/s10955-009-9836-8}
}
Touchette, H. The large deviation approach to statistical mechanics 2009 Phys. Rep.
Vol. 478, pp. 1-69 
article DOI  
BibTeX:
@article{Touchette2009_vol478,
  author = {Touchette, H.},
  title = {The large deviation approach to statistical mechanics},
  journal = {Phys. Rep.},
  year = {2009},
  volume = {478},
  pages = {1--69},
  doi = {https://doi.org/10.1016/j.physrep.2009.05.002}
}
Turgeman, L., Carmi, S. and Barkai, E. Fractional Feynman-Kac Equation for Non-Brownian Functionals 2009 Phys. Rev. Lett.
Vol. 103(19), pp. 190201 
article DOI  
BibTeX:
@article{Turgeman2009_vol103,
  author = {Turgeman, L. and Carmi, S. and Barkai, E.},
  title = {Fractional Feynman-Kac Equation for Non-Brownian Functionals},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2009},
  volume = {103},
  number = {19},
  pages = {190201},
  doi = {https://doi.org/10.1103/PhysRevLett.103.190201}
}
Vaikuntanathan, S. and Jarzynski, C. Dissipation and lag in irreversible processes 2009 Europhys. Lett.
Vol. 87(6), pp. 60005 
article URL 
Abstract: When a system is perturbed by the variation of external parameters, a lag
generally develops between the actual state of the system, ? t , and the
equilibrium state corresponding to the current parameter values, ? t eq . We
establish a microscopic, quantitative relation between this lag and the
dissipated work that accompanies the process. We illustrate this relation
using a model system.
BibTeX:
@article{Vaikuntanathan2009_vol87,
  author = {S. Vaikuntanathan and C. Jarzynski},
  title = {Dissipation and lag in irreversible processes},
  journal = {Europhys. Lett.},
  year = {2009},
  volume = {87},
  number = {6},
  pages = {60005},
  url = {http://stacks.iop.org/0295-5075/87/i=6/a=60005}
}
Velazquez, L. and Curilef, S. A thermodynamic fluctuation relation for temperature and energy 2009 J. Phys. A: Math. Theor.
Vol. 42(9), pp. 095006 
article URL 
BibTeX:
@article{Velazquez2009_vol42,
  author = {Velazquez, L. and Curilef, S.},
  title = {A thermodynamic fluctuation relation for temperature and energy},
  journal = {J. Phys. A: Math. Theor.},
  year = {2009},
  volume = {42},
  number = {9},
  pages = {095006},
  url = {http://stacks.iop.org/1751-8121/42/i=9/a=095006}
}
Vellela, M. and Qian, H. Stochastic dynamics and non-equilibrium thermodynamics of a bistable chemical system: the Schlögl model revisited 2009 Journal of The Royal Society Interface
Vol. 6(39), pp. 925-940 
article DOI URL 
Abstract: Schl�gl's model is the canonical example of a chemical reaction system that
exhibits bistability. Because the biological examples of bistability and
switching behaviour are increasingly numerous, this paper presents an
integrated deterministic, stochastic and thermodynamic analysis of the model.
After a brief review of the deterministic and stochastic modelling
frameworks, the concepts of chemical and mathematical detailed balances are
discussed and non-equilibrium conditions are shown to be necessary for
bistability. Thermodynamic quantities such as the flux, chemical potential
and entropy production rate are defined and compared across the two models.
In the bistable region, the stochastic model exhibits an exchange of the
global stability between the two stable states under changes in the pump
parameters and volume size. The stochastic entropy production rate shows a
sharp transition that mirrors this exchange. A new hybrid model that includes
continuous diffusion and discrete jumps is suggested to deal with the
multiscale dynamics of the bistable system. Accurate approximations of the
exponentially small eigenvalue associated with the time scale of this
switching and the full time-dependent solution are calculated using Matlab. A
breakdown of previously known asymptotic approximations on small volume
scales is observed through comparison with these and Monte Carlo results.
Finally, in the appendix section is an illustration of how the diffusion
approximation of the chemical master equation can fail to represent correctly
the mesoscopically interesting steady-state behaviour of the system.
BibTeX:
@article{Vellela2009_vol6,
  author = {Vellela, M. and Qian, H.},
  title = {Stochastic dynamics and non-equilibrium thermodynamics of a bistable chemical system: the Schlögl model revisited},
  journal = {Journal of The Royal Society Interface},
  year = {2009},
  volume = {6},
  number = {39},
  pages = {925--940},
  url = {http://rsif.royalsocietypublishing.org/content/6/39/925.abstract},
  doi = {https://doi.org/10.1098/rsif.2008.0476}
}
Villamaina, D., Baldassarri, A., Puglisi, A. and Vulpiani, A. The fluctuation-dissipation relation: How does one compare correlation functions and responses? 2009 J. Stat. Mech: Theory Exp.(P07024)  article DOI  
Abstract: We discuss the well known Einstein and the Kubo fluctuation-dissipation
relations (FDRs) in the wider framework of a generalized FDR for systems with
a stationary probability distribution. A multivariate linear Langevin model,
which includes dynamics with memory, is used as a treatable example to show
how the usual relations are recovered only in particular cases. This study
brings to the fore the ambiguities of a check of the FDR done without knowing
the significant degrees of freedom and their coupling. An analogous scenario
emerges in the dynamics of diluted shaken granular media. There, the
correlation between position and velocity of particles, due to spatial
inhomogeneities, induces violation of usual FDRs. The search for the
appropriate correlation function which could restore the FDR can be more
insightful than a definition of 'non-equilibrium' or 'effective
temperatures'.
BibTeX:
@article{Villamaina2009_vol,
  author = {Villamaina, D. and Baldassarri, A. and Puglisi, A. and Vulpiani, A.},
  title = {The fluctuation-dissipation relation: How does one compare correlation functions and responses?},
  journal = {J. Stat. Mech: Theory Exp.},
  publisher = {Iop Publishing Ltd},
  year = {2009},
  number = {P07024},
  doi = {https://doi.org/10.1088/1742-5468/2009/07/P07024}
}
Viot, P. Simulation num�rique en physique statistique (Poly de cours) 2009   book  
BibTeX:
@book{Viot2009_vol,
  author = {P. Viot},
  title = {Simulation num�rique en physique statistique (Poly de cours)},
  year = {2009}
}
Zia, R.K.P., Redish, E.F. and Mckay, S.R. Making sense of the Legendre transform 2009 Am. J. Phys.
Vol. {77}({7}), pp. {614-622} 
article DOI  
Abstract: The Legendre transform is a powerful tool in theoretical physics and plays
an important role in classical mechanics, statistical mechanics, and
thermodynamics. In typical undergraduate and graduate courses the motivation
and elegance of the method are often missing, unlike the treatments
frequently enjoyed by Fourier transforms. We review and modify the
presentation of Legendre transforms in a way that explicates the formal
mathematics, resulting in manifestly symmetric equations, thereby clarifying
the structure of the transform. We then discuss examples to motivate the
transform as a way of choosing independent variables that are more easily
controlled. We demonstrate how the Legendre transform arises naturally from
statistical mechanics and show how the use of dimensionless thermodynamic
potentials leads to more natural and symmetric relations.
BibTeX:
@article{Zia2009_vol77,
  author = {Zia, R. K. P. and Redish, Edward F. and Mckay, Susan R.},
  title = {Making sense of the Legendre transform},
  journal = {Am. J. Phys.},
  publisher = {AMER ASSOC PHYSICS TEACHERS AMER INST PHYSICS},
  year = {2009},
  volume = {77},
  number = {7},
  pages = {614--622},
  doi = {https://doi.org/10.1119/1.3119512}
}
Baule, A. and Evans, R.M.L. Invariant Quantities in Shear Flow 2008 Phys. Rev. Lett.
Vol. 101, pp. 240601 
article DOI URL 
BibTeX:
@article{Baule2008_vol101,
  author = {Baule, A. and Evans, R. M. L.},
  title = {Invariant Quantities in Shear Flow},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2008},
  volume = {101},
  pages = {240601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.101.240601},
  doi = {https://doi.org/10.1103/PhysRevLett.101.240601}
}
Dreiner, H.K., Haber, H.E. and Martin, S.P. Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry 2008 Phys.Rept.494:1-196,2010  article DOI  
Abstract: Two-component spinors are the basic ingredients for describing fermions in quantum field theory in four space-time dimensions. We develop and review the techniques of the two-component spinor formalism and provide a complete set of Feynman rules for fermions using two-component spinor notation. These rules are suitable for practical calculations of cross-sections, decay rates, and radiative corrections in the Standard Model and its extensions, including supersymmetry, and many explicit examples are provided. The unified treatment presented in this review applies to massless Weyl fermions and massive Dirac and Majorana fermions. We exhibit the relation between the two-component spinor formalism and the more traditional four-component spinor formalism, and indicate their connections to the spinor helicity method and techniques for the computation of helicity amplitudes.
BibTeX:
@article{Dreiner2008vol,
  author = {Herbi K. Dreiner and Howard E. Haber and Stephen P. Martin},
  title = {Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry},
  journal = {Phys.Rept.494:1-196,2010},
  year = {2008},
  doi = {https://doi.org/10.1016/j.physrep.2010.05.002}
}
Markvart, T. Solar cell as a heat engine: energy-entropy analysis of photovoltaic conversion 2008 physica status solidi (a)
Vol. 205(12), pp. 2752-2756 
article DOI  
BibTeX:
@article{Markvart2008vol205,
  author = {Markvart, Tom},
  title = {Solar cell as a heat engine: energy-entropy analysis of photovoltaic conversion},
  journal = {physica status solidi (a)},
  publisher = {Wiley},
  year = {2008},
  volume = {205},
  number = {12},
  pages = {2752--2756},
  doi = {https://doi.org/10.1002/pssa.200880460}
}
Mitkowski, W. Dynamical properties of Metzler systems {2008} BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES
Vol. {56}({4}), pp. {309-312} 
article  
Abstract: Spectral properties of nonnegative and Metzler matrices are considered. The
conditions for existence of Metzler spectrum in dynamical systems have been
established. An electric RL and GC ladder-network is presented as an example
of dynamical Metzler system. The Suitable conditions for parameters of these
electrical networks are formulated. Numerical calculations were done in
MATLAB.
BibTeX:
@article{Mitkowski2008vol56,
  author = {Mitkowski, W.},
  title = {Dynamical properties of Metzler systems},
  journal = {BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES},
  publisher = {POLISH ACAD SCIENCES DIV IV},
  year = {2008},
  volume = {56},
  number = {4},
  pages = {309--312}
}
Chétrite, R. Grandes déviations et relations de fluctuation dans certains modèles de systèmes hors d'équilibre 2008   phdthesis  
BibTeX:
@phdthesis{Chetrite2008_these,
  author = {Chétrite, R.},
  title = {Grandes déviations et relations de fluctuation dans certains modèles de systèmes hors d'équilibre},
  year = {2008}
}
Jörg, T., Krzakala, F., Kurchan, J. and Maggs, A.C. Simple Glass Models and Their Quantum Annealing 2008 Phys. Rev. Lett.
Vol. 101, pp. 147204 
article DOI URL 
BibTeX:
@article{Jorg2008_vol101,
  author = {Jörg, T. and Krzakala, F. and Kurchan, J. and Maggs, A. C.},
  title = {Simple Glass Models and Their Quantum Annealing},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2008},
  volume = {101},
  pages = {147204},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.101.147204},
  doi = {https://doi.org/10.1103/PhysRevLett.101.147204}
}
Megnint, L., Verdurand, G. and Rey, R. Turbines hydrauliques - Description et fonctionnement 2008 Techniques de l'ingénieur  article DOI  
BibTeX:
@article{Megnint2008vol,
  author = {Lucien Megnint and Georges Verdurand and Robert Rey},
  title = {Turbines hydrauliques - Description et fonctionnement},
  journal = {Techniques de l'ingénieur},
  publisher = {Editions Techniques de l'Ingenieur},
  year = {2008},
  doi = {https://doi.org/10.51257/a-v1-bm4405}
}
Förster, H. and Büttiker, M. Fluctuation Relations Without Microreversibility in Nonlinear Transport 2008 Phys. Rev. Lett.
Vol. 101, pp. 136805 
article DOI URL 
BibTeX:
@article{Foerster2008_vol101,
  author = {Förster, H. and Büttiker, M.},
  title = {Fluctuation Relations Without Microreversibility in Nonlinear Transport},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2008},
  volume = {101},
  pages = {136805},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.101.136805},
  doi = {https://doi.org/10.1103/PhysRevLett.101.136805}
}
Qian, Z., Li, R., Zhao, X., Hou, S. and Sanvito, S. Conceptual molecular quantum phase transistor based on first-principles quantum transport calculations 2008 Phys. Rev. B
Vol. 78, pp. 113301 
article DOI URL 
BibTeX:
@article{Qian2008_vol78,
  author = {Qian, Zekan and Li, Rui and Zhao, Xingyu and Hou, Shimin and Sanvito, Stefano},
  title = {Conceptual molecular quantum phase transistor based on first-principles quantum transport calculations},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2008},
  volume = {78},
  pages = {113301},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.78.113301},
  doi = {https://doi.org/10.1103/PhysRevB.78.113301}
}
Majumdar, S. and Sood, A.K. Nonequilibrium Fluctuation Relation for Sheared Micellar Gel in a Jammed State 2008 Phys. Rev. Lett.
Vol. 101, pp. 078301 
article DOI URL 
BibTeX:
@article{Majumdar2008_vol101,
  author = {Majumdar, S. and Sood, A. K.},
  title = {Nonequilibrium Fluctuation Relation for Sheared Micellar Gel in a Jammed State},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2008},
  volume = {101},
  pages = {078301},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.101.078301},
  doi = {https://doi.org/10.1103/PhysRevLett.101.078301}
}
Zdeborová, L. and Mézard, M. Locked Constraint Satisfaction Problems 2008 Phys. Rev. Lett.
Vol. 101, pp. 078702 
article DOI URL 
BibTeX:
@article{Zdeborova2008_vol101,
  author = {Zdeborová, Lenka and Mézard, Marc},
  title = {Locked Constraint Satisfaction Problems},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2008},
  volume = {101},
  pages = {078702},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.101.078702},
  doi = {https://doi.org/10.1103/PhysRevLett.101.078702}
}
Caticha, A. Lectures on Probability, Entropy, and Statistical Physics 2008 arXiv  review  
BibTeX:
@review{Caticha2008_vol,
  author = {Caticha, A.},
  title = {Lectures on Probability, Entropy, and Statistical Physics},
  journal = {arXiv},
  year = {2008}
}
Gomez-Marin, A., Parrondo, J.M.R. and Van den Broeck, C. Lower bounds on dissipation upon coarse graining 2008 Phys. Rev. E
Vol. 78, pp. 011107 
article DOI URL 
BibTeX:
@article{Gomez-Marin2008_vol78,
  author = {Gomez-Marin, A. and Parrondo, J. M. R. and Van den Broeck, C.},
  title = {Lower bounds on dissipation upon coarse graining},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2008},
  volume = {78},
  pages = {011107},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.78.011107},
  doi = {https://doi.org/10.1103/PhysRevE.78.011107}
}
Joubaud, S., Petrosyan, A., Ciliberto, S. and Garnier, N.B. Experimental Evidence of Non-Gaussian Fluctuations near a Critical Point 2008 Phys. Rev. Lett.
Vol. 100, pp. 180601 
article DOI URL 
BibTeX:
@article{Joubaud2008_vol100,
  author = {Joubaud, S. and Petrosyan, A. and Ciliberto, S. and Garnier, N. B.},
  title = {Experimental Evidence of Non-Gaussian Fluctuations near a Critical Point},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2008},
  volume = {100},
  pages = {180601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.100.180601},
  doi = {https://doi.org/10.1103/PhysRevLett.100.180601}
}
Malinin, S.V. and Chernyak, V.Y. Classical nonlinear response of a chaotic system. I. Collective resonances 2008 Phys. Rev. E
Vol. 77, pp. 056201 
article  
BibTeX:
@article{Malinin2008_vol77,
  author = {Malinin, Sergey V. and Chernyak, Vladimir Y.},
  title = {Classical nonlinear response of a chaotic system. I. Collective resonances},
  journal = {Phys. Rev. E},
  year = {2008},
  volume = {77},
  pages = {056201}
}
Malinin, S.V. and Chernyak, V.Y. Classical nonlinear response of a chaotic system. II. Langevin dynamics and spectral decomposition 2008 Phys. Rev. E
Vol. 77, pp. 056202 
article  
BibTeX:
@article{Malinin2008_vol77a,
  author = {Malinin, Sergey V. and Chernyak, Vladimir Y.},
  title = {Classical nonlinear response of a chaotic system. II. Langevin dynamics and spectral decomposition},
  journal = {Phys. Rev. E},
  year = {2008},
  volume = {77},
  pages = {056202}
}
Welack, S., Esposito, M., Harbola, U. and Mukamel, S. Interference effects in the counting statistics of electron transfers through a double quantum dot 2008 Phys. Rev. B
Vol. 77, pp. 195315 
article DOI URL 
BibTeX:
@article{Welack2008_vol77,
  author = {Welack, Sven and Esposito, Massimiliano and Harbola, Upendra and Mukamel, Shaul},
  title = {Interference effects in the counting statistics of electron transfers through a double quantum dot},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2008},
  volume = {77},
  pages = {195315},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.77.195315},
  doi = {https://doi.org/10.1103/PhysRevB.77.195315}
}
Cleuren, B., Willaert, K., Engel, A. and Van den Broeck, C. Fluctuation theorem for entropy production during effusion of a relativistic ideal gas 2008 Phys. Rev. E
Vol. 77, pp. 022103 
article DOI URL 
BibTeX:
@article{Cleuren2008_vol77,
  author = {Cleuren, B. and Willaert, K. and Engel, A. and Van den Broeck, C.},
  title = {Fluctuation theorem for entropy production during effusion of a relativistic ideal gas},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2008},
  volume = {77},
  pages = {022103},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.77.022103},
  doi = {https://doi.org/10.1103/PhysRevE.77.022103}
}
Saha, A. and Jayannavar, A.M. Nonequilibrium work distributions for a trapped Brownian particle in a time-dependent magnetic field 2008 Phys. Rev. E
Vol. 77, pp. 022105 
article DOI URL 
BibTeX:
@article{Saha2008_vol77,
  author = {Saha, Arnab and Jayannavar, A. M.},
  title = {Nonequilibrium work distributions for a trapped Brownian particle in a time-dependent magnetic field},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2008},
  volume = {77},
  pages = {022105},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.77.022105},
  doi = {https://doi.org/10.1103/PhysRevE.77.022105}
}
Bouchet, F., Dauxois, T., Mukamel, D. and Ruffo, S. Phase space gaps and ergodicity breaking in systems with long-range interactions 2008 Phys. Rev. E
Vol. 77(1), pp. 011125 
article URL 
BibTeX:
@article{Bouchet2008_vol77,
  author = {Bouchet, Freddy and Dauxois, Thierry and Mukamel, David and Ruffo, Stefano},
  title = {Phase space gaps and ergodicity breaking in systems with long-range interactions},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2008},
  volume = {77},
  number = {1},
  pages = {011125},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.77.011125}
}
Komatsu, T.S. and Nakagawa, N. Expression for the Stationary Distribution in Nonequilibrium Steady States 2008 Phys. Rev. Lett.
Vol. 100, pp. 030601 
article DOI URL 
BibTeX:
@article{Komatsu2008_vol100a,
  author = {Komatsu, Teruhisa S. and Nakagawa, Naoko},
  title = {Expression for the Stationary Distribution in Nonequilibrium Steady States},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2008},
  volume = {100},
  pages = {030601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.100.030601},
  doi = {https://doi.org/10.1103/PhysRevLett.100.030601}
}
Andrieux, D. and Gaspard, P. Fluctuation theorem and mesoscopic chemical clocks 2008 J. Chem. Phys.
Vol. 128(15) 
article DOI URL 
BibTeX:
@article{Andrieux2008_vol128,
  author = {Andrieux, D. and Gaspard, P.},
  title = {Fluctuation theorem and mesoscopic chemical clocks},
  journal = {J. Chem. Phys.},
  year = {2008},
  volume = {128},
  number = {15},
  url = {http://scitation.aip.org/content/aip/journal/jcp/128/15/10.1063/1.2894475},
  doi = {https://doi.org/10.1063/1.2894475}
}
Andrieux, D. and Gaspard, P. Nonequilibrium generation of information in copolymerization processes 2008 Proc. Natl. Acad. Sci. U.S.A.
Vol. 105(28), pp. 9516-9521 
article DOI URL 
Abstract: We consider general fluctuating copolymerization processes, with or without
underlying templates. The dissipation associated with these nonequilibrium
processes turns out to be closely related to the information generated. This
shows in particular how information acquisition results from the interplay
between stored patterns and dynamical evolution in nonequilibrium
environments. In addition, we apply these results to the process of DNA
replication.
BibTeX:
@article{Andrieux2008_vol105,
  author = {Andrieux, D. and Gaspard, P.},
  title = {Nonequilibrium generation of information in copolymerization processes},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  year = {2008},
  volume = {105},
  number = {28},
  pages = {9516--9521},
  url = {http://www.pnas.org/content/105/28/9516.abstract},
  doi = {https://doi.org/10.1073/pnas.0802049105}
}
Andrieux, D., Gaspard, P., Ciliberto, S., Garnier, N., Joubaud, S. and Petrosyan, A. Thermodynamic time asymmetry in non-equilibrium fluctuations 2008 J. Stat. Mech: Theory Exp.(01), pp. P01002  article URL 
Abstract: We here present the complete analysis of experiments on driven Brownian
motion and electric noise in an RC circuit, showing that thermodynamic
entropy production can be related to the breaking of time-reversal symmetry
in the statistical description of these non-equilibrium systems. The symmetry
breaking can be expressed in terms of dynamical entropies per unit time, one
for the forward process and the other for the time-reversed process. These
entropies per unit time characterize dynamical randomness, i.e., temporal
disorder, in time series of the non-equilibrium fluctuations. Their
difference gives the well-known thermodynamic entropy production, which thus
finds its origin in the time asymmetry of dynamical randomness, alias
temporal disorder, in systems driven out of equilibrium.
BibTeX:
@article{Andrieux2008_vol2008,
  author = {D Andrieux and P Gaspard and S Ciliberto and N Garnier and S Joubaud and A Petrosyan},
  title = {Thermodynamic time asymmetry in non-equilibrium fluctuations},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2008},
  number = {01},
  pages = {P01002},
  url = {http://stacks.iop.org/1742-5468/2008/i=01/a=P01002}
}
Appert-Rolland, C., Derrida, B., Lecomte, V. and van Wijland, F. Universal cumulants of the current in diffusive systems on a ring 2008 Phys. Rev. E
Vol. 78(2), pp. 021122 
article DOI  
BibTeX:
@article{Appert-Rolland2008_vol78,
  author = {Appert-Rolland, C. and Derrida, B. and Lecomte, V. and van Wijland, F.},
  title = {Universal cumulants of the current in diffusive systems on a ring},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2008},
  volume = {78},
  number = {2},
  pages = {021122},
  doi = {https://doi.org/10.1103/PhysRevE.78.021122}
}
Bockelmann, U. and Viasnoff, V. Theoretical study of sequence-dependent nanopore unzipping of DNA 2008 Biophys. J.
Vol. 94(7), pp. 2716-2724 
article DOI  
Abstract: We theoretically investigate the unzipping of DNA electrically driven through
a nanometer-size pore. Taking the DNA base sequence explicitly into account,
the unpairing and translocation process is described by a biased random walk
in a one-dimensional energy landscape determined by the sequential basepair
opening. Distributions of translocation times are numerically calculated as a
function of applied voltage and temperature. We show that varying these two
parameters changes the dynamics from a predominantly diffusive behavior to a
dynamics governed by jumps over local energy barriers. The work suggests
experimentally studying sequence effects, by comparing the average value and
standard deviation of the statistical distribution of translocation times.
BibTeX:
@article{Bockelmann2008_vol94,
  author = {Bockelmann, U. and Viasnoff, V.},
  title = {Theoretical study of sequence-dependent nanopore unzipping of DNA},
  journal = {Biophys. J.},
  publisher = {Biophysical Soc},
  year = {2008},
  volume = {94},
  number = {7},
  pages = {2716--2724},
  doi = {https://doi.org/10.1529/biophysj.107.111732}
}
Cadot, O., Boudaoud, A. and Touzé, C. Statistics of power injection in a plate set into chaotic vibration 2008 Eur. Phys. J. B
Vol. 66(3), pp. 399-407 
article DOI URL 
BibTeX:
@article{Cadot2008_vol66,
  author = {Cadot, O. and Boudaoud, A. and Touzé, C.},
  title = {Statistics of power injection in a plate set into chaotic vibration},
  journal = {Eur. Phys. J. B},
  publisher = {Springer-Verlag},
  year = {2008},
  volume = {66},
  number = {3},
  pages = {399--407},
  url = {http://dx.doi.org/10.1140/epjb/e2008-00431-3},
  doi = {https://doi.org/10.1140/epjb/e2008-00431-3}
}
Chen, L.Y. On the Crooks fluctuation theorem and the Jarzynski equality 2008 J. Chem. Phys.
Vol. 129(9), pp. 091101 
article DOI URL 
BibTeX:
@article{Chen2008_vol129,
  author = {L. Y. Chen},
  title = {On the Crooks fluctuation theorem and the Jarzynski equality},
  journal = {J. Chem. Phys.},
  publisher = {AIP},
  year = {2008},
  volume = {129},
  number = {9},
  pages = {091101},
  url = {http://link.aip.org/link/?JCP/129/091101/1},
  doi = {https://doi.org/10.1063/1.2978949}
}
Chétrite, R., Falkovich, G. and Gawedzki, K. Fluctuation relations in simple examples of non-equilibrium steady states 2008 J. Stat. Mech: Theory Exp.(08), pp. P08005  article DOI URL 
Abstract: We discuss fluctuation relations in simple cases of non-equilibrium Langevin
dynamics. In particular, we show that, close to non-equilibrium steady states
with non-vanishing probability currents, some of these relations reduce to a
modified version of the fluctuation?dissipation theorem. The latter may be
interpreted as the equilibrium-like relation in the reference frame moving
with the mean local velocity determined by the probability current.
BibTeX:
@article{Chetrite2008_vol,
  author = {R. Chétrite and G. Falkovich and K. Gawedzki},
  title = {Fluctuation relations in simple examples of non-equilibrium steady states},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2008},
  number = {08},
  pages = {P08005},
  url = {http://stacks.iop.org/1742-5468/2008/i=08/a=P08005},
  doi = {https://doi.org/10.1088/1742-5468/2008/08/P08005}
}
Chétrite, R. and Gawedzki, K. Fluctuation Relations for Diffusion Processes 2008 Comm. Math. Phys.
Vol. 282, pp. 469 
article DOI  
BibTeX:
@article{Chetrite2008_vol282,
  author = {Chétrite, R. and Gawedzki, K.},
  title = {Fluctuation Relations for Diffusion Processes},
  journal = {Comm. Math. Phys.},
  year = {2008},
  volume = {282},
  pages = {469},
  doi = {https://doi.org/10.1007/s00220-008-0502-9}
}
Cornu, F. and Piasecki, J. Granular rough sphere in a low-density thermal bath 2008 Phys. A
Vol. 387(19-20), pp. 4856-4862 
article DOI URL 
BibTeX:
@article{Cornu2008_vol387,
  author = {F. Cornu and J. Piasecki},
  title = {Granular rough sphere in a low-density thermal bath},
  journal = {Phys. A},
  year = {2008},
  volume = {387},
  number = {19-20},
  pages = {4856--4862},
  url = {http://www.sciencedirect.com/science/article/pii/S0378437108002999},
  doi = {https://doi.org/10.1016/j.physa.2008.03.014}
}
Esposito, M. and Lindenberg, K. Continuous-time random walk for open systems: Fluctuation theorems and counting statistics 2008 Phys. Rev. E
Vol. 77(5), pp. 051119 
article DOI  
BibTeX:
@article{Esposito2008_vol77,
  author = {Esposito, M. and Lindenberg, K.},
  title = {Continuous-time random walk for open systems: Fluctuation theorems and counting statistics},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2008},
  volume = {77},
  number = {5},
  pages = {051119},
  doi = {https://doi.org/10.1103/PhysRevE.77.051119}
}
Falcon, É., Aumaître, S., Falcón, C., Laroche, C. and Fauve, S. Fluctuations of Energy Flux in Wave Turbulence 2008 Phys. Rev. Lett.
Vol. 100, pp. 064503 
article DOI URL 
BibTeX:
@article{Falcon2008_vol100,
  author = {Falcon, É. and Aumaître, S. and Falcón, C. and Laroche, C. and Fauve, S.},
  title = {Fluctuations of Energy Flux in Wave Turbulence},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2008},
  volume = {100},
  pages = {064503},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.100.064503},
  doi = {https://doi.org/10.1103/PhysRevLett.100.064503}
}
Gomez-Marin, A., Parrondo, J.M.R. and Van den Broeck, C. The "footprints" of irreversibility 2008 Europhys. Lett.
Vol. 82(5), pp. 50002 
article URL 
Abstract: We reformulate the result for the entropy production given in Phys. Rev.
Lett. , 98 (2007) 080602 in terms of the relative entropy of microscopic
trajectories. By a combination with the Crook's theorem, we identify the path
variables that are sufficient to fully identify irreversibility. We show that
work saturates the relative entropy, and derive the entropy production for
stochastic descriptions.
BibTeX:
@article{Gomez-Marin2008_vol82,
  author = {Gomez-Marin, A. and Parrondo, J. M. R. and Van den Broeck, C.},
  title = {The "footprints" of irreversibility},
  journal = {Europhys. Lett.},
  year = {2008},
  volume = {82},
  number = {5},
  pages = {50002},
  url = {http://stacks.iop.org/0295-5075/82/i=5/a=50002}
}
D. Le Gouriéres Les éoliennes, Théories, conception et calcul pratique 2008   book  
Comment: chapitre 6 sur éoliennes à axe verticale
BibTeX:
@book{LeGourieres2008vol,
  author = {D. Le Gouriéres},
  title = {Les éoliennes, Théories, conception et calcul pratique},
  year = {2008}
}
Harbola, U. and Mukamel, S. Superoperator nonequilibrium Green's function theory of many-body systems; applications to charge transfer and transport in open junctions 2008 Phys. Rep.
Vol. 465(5), pp. 191-222 
article DOI URL 
Abstract: Nonequilibrium Green's functions provide a powerful tool for computing the
dynamical response and particle exchange statistics of coupled quantum
systems. We formulate the theory in terms of the density matrix in Liouville
space and introduce superoperator algebra that greatly simplifies the
derivation and the physical interpretation of all quantities. Expressions for
various observables are derived directly in real time in terms of
superoperator nonequilibrium Green's functions (SNGF), rather than the
artificial time-loop required in Schwinger's Hilbert-space formulation.
Applications for computing interaction energies, charge densities, average
currents, current induced fluorescence, electroluminescence and current
fluctuation (electron counting) statistics are discussed.
BibTeX:
@article{Harbola2008_vol465,
  author = {U. Harbola and S. Mukamel},
  title = {Superoperator nonequilibrium Green's function theory of many-body systems; applications to charge transfer and transport in open junctions},
  journal = {Phys. Rep.},
  year = {2008},
  volume = {465},
  number = {5},
  pages = {191--222},
  url = {http://www.sciencedirect.com/science/article/pii/S0370157308001786},
  doi = {https://doi.org/10.1016/j.physrep.2008.05.003}
}
Heymann, M. and Vanden-Eijnden, E. The geometric minimum action method: A least action principle on the space of curves 2008 Commun. Pure Appl. Math.
Vol. 61(8), pp. 1052-1117 
article DOI URL 
BibTeX:
@article{Heymann2008_vol61,
  author = {Heymann, Matthias and Vanden-Eijnden, Eric},
  title = {The geometric minimum action method: A least action principle on the space of curves},
  journal = {Commun. Pure Appl. Math.},
  publisher = {Wiley Subscription Services, Inc., A Wiley Company},
  year = {2008},
  volume = {61},
  number = {8},
  pages = {1052--1117},
  url = {http://dx.doi.org/10.1002/cpa.20238},
  doi = {https://doi.org/10.1002/cpa.20238}
}
Jarzynski, C. Nonequilibrium work relations: foundations and applications 2008 Eur. Phys. J. B
Vol. 64(3), pp. 331-340 
article  
BibTeX:
@article{Jarzynski2008_vol64,
  author = {C. Jarzynski},
  title = {Nonequilibrium work relations: foundations and applications},
  journal = {Eur. Phys. J. B},
  year = {2008},
  volume = {64},
  number = {3},
  pages = {331--340}
}
Joubaud, S. Fluctuations dans les syst�mes hors d'�quilibre 2008 School: ENS LYON  phdthesis URL 
Abstract: Les travaux d�crits dans cette th�se apportent une contribution � la
physique statistique des fluctuations de syst�mes port�s hors de leur
�tat d'�quilibre. Les r�sultats ont �t� obtenus sur deux syst�mes
exp�rimentaux. Le premier syst�me est un oscillateur harmonique fluctuant
sous l'effet de l'agitation thermique. Ce syst�me est port� par un
for�age externe dans deux types d'�tats hors d'�quilibre : un �tat
transitoire et un �tat stationnaire. Nous mesurons dans ce syst�me
mod�le les fluctuations du travail inject�, de la chaleur dissip�e et
de la production d'entropie totale. L'�tude statistique de ces fluctuations
est r�alis�e dans le contexte des Th�or�mes de Fluctuation. Par la
comparaison des r�sultats exp�rimentaux et d'un mod�le th�orique
simple, nous donnons une interpr�tation physique des diff�rents
r�sultats obtenus. La seconde partie est consacr�e � l'�tude de la
transition de Fr�edericksz dans les cristaux liquides. Cette transition est
�quivalente � une transition de phase du deuxi�me ordre. Nous proposons
une m�thode de mesure du param�tre d'ordre de la transition ayant une
excellente r�solution jusqu'� des fr�quences de l'ordre du millihertz.
Nous �tudions la statistique des fluctuations d'�quilibre lorsque le
param�tre de contr�le est proche de la valeur critique. La distribution
est compar�e avec la distribution Gumbel G�n�ralis�e et le
param�tre de ce mod�le est interpr�t� comme un nombre de degr�s de
libert� effectifs. Ce syst�me est finalement �tudi� hors
d'�quilibre lors d'une trempe au point critique accompagn� d'un
ph�nom�ne de vieillissement.
BibTeX:
@phdthesis{Joubaud2008_vol,
  author = {Sylvain Joubaud},
  title = {Fluctuations dans les syst�mes hors d'�quilibre},
  school = {ENS LYON},
  year = {2008},
  url = {http://tel.archives-ouvertes.fr/tel-00316170/en/}
}
Joubaud, S., Petrosyan, A. and Ciliberto, S. Finite size effects and ageing near a critical point 2008 Philos. Mag.
Vol. 88(33-35), pp. 4189-4196 
article DOI URL 
BibTeX:
@article{Joubaud2008_vol88,
  author = {Joubaud, S. and Petrosyan, A. and Ciliberto, S.},
  title = {Finite size effects and ageing near a critical point},
  journal = {Philos. Mag.},
  year = {2008},
  volume = {88},
  number = {33-35},
  pages = {4189--4196},
  url = {http://www.tandfonline.com/doi/abs/10.1080/14786430802304618},
  doi = {https://doi.org/10.1080/14786430802304618}
}
Kaila, V.R. and Annila, A. Natural selection for least action 2008 Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences
Vol. 464(2099), pp. 3055-3070 
article DOI URL 
Abstract: The second law of thermodynamics is a powerful imperative that has acquired
several expressions during the past centuries. Connections between two of its
most prominent forms, i.e. the evolutionary principle by natural selection
and the principle of least action, are examined. Although no fundamentally
new findings are provided, it is illuminating to see how the two principles
rationalizing natural motions reconcile to one law. The second law, when
written as a differential equation of motion, describes evolution along the
steepest descents in energy and, when it is given in its integral form, the
motion is pictured to take place along the shortest paths in energy. In
general, evolution is a non-Euclidian energy density landscape in flattening
motion.
BibTeX:
@article{Kaila2008_vol464,
  author = {Kaila, Ville R.I and Annila, Arto},
  title = {Natural selection for least action},
  journal = {Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences},
  publisher = {The Royal Society},
  year = {2008},
  volume = {464},
  number = {2099},
  pages = {3055--3070},
  url = {http://rspa.royalsocietypublishing.org/content/464/2099/3055},
  doi = {https://doi.org/10.1098/rspa.2008.0178}
}
Komatsu, T.S., Nakagawa, N., Sasa, S.I. and Tasaki, H. Steady-state thermodynamics for heat conduction: Microscopic derivation 2008 Phys. Rev. Lett.
Vol. 100(23), pp. 230602 
article DOI  
Abstract: Starting from microscopic mechanics, we derive thermodynamic relations for
heat conducting nonequilibrium steady states. The extended Clausius relation
enables one to experimentally determine nonequilibrium entropy to the second
order in the heat current. The associated Shannon-like microscopic expression
of the entropy is suggestive. When the heat current is fixed, the extended
Gibbs relation provides a unified treatment of thermodynamic forces in the
linear nonequilibrium regime.
BibTeX:
@article{Komatsu2008_vol100,
  author = {Komatsu, T. S. and Nakagawa, N. and Sasa, S. I. and Tasaki, H.},
  title = {Steady-state thermodynamics for heat conduction: Microscopic derivation},
  journal = {Phys. Rev. Lett.},
  publisher = {Amer Physical Soc},
  year = {2008},
  volume = {100},
  number = {23},
  pages = {230602},
  doi = {https://doi.org/10.1103/PhysRevLett.100.230602}
}
Lacoste, D., Lau, A.W. and Mallick, K. Fluctuation theorem and large deviation function for a solvable model of a molecular motor 2008 Phys. Rev. E
Vol. 78(1), pp. 011915 
article DOI  
BibTeX:
@article{Lacoste2008_vol78,
  author = {D. Lacoste and A. W.C. Lau and K. Mallick},
  title = {Fluctuation theorem and large deviation function for a solvable model of a molecular motor},
  journal = {Phys. Rev. E},
  publisher = {APS},
  year = {2008},
  volume = {78},
  number = {1},
  pages = {011915},
  doi = {https://doi.org/10.1103/PhysRevE.78.011915}
}
Laplaige, P. and Lemale, J. Géothermie 2008 Technique de l'ingénieur  article  
BibTeX:
@article{Laplaige2008vol,
  author = {Philippe Laplaige and Jean Lemale},
  title = {Géothermie},
  journal = {Technique de l'ingénieur},
  year = {2008}
}
Maes, C. and Netocný, K. Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states 2008 Europhys. Lett.
Vol. 82(3), pp. 30003 
article DOI  
Abstract: We give the explicit structure of the functional governing the dynamical
density and current fluctuations for a mesoscopic system in a nonequilibrium
steady state. Its canonical form determines a generalised Onsager-Machlup
theory. We assume that the system is described as a Markov jump process
satisfying a local detailed balance condition such as typical for stochastic
lattice gases and for chemical networks. We identify the entropy current and
the traffic between the mesoscopic states as extra terms in the fluctuation
functional with respect to the equilibrium dynamics. The density and current
fluctuations are coupled in general, except close to equilibrium where their
decoupling explains the validity of entropy production principles. Copyright
(c) EPLA, 2008.
BibTeX:
@article{Maes2008_vol82,
  author = {Maes, C. and Netocný, K.},
  title = {Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states},
  journal = {Europhys. Lett.},
  publisher = {Edp Sciences S A},
  year = {2008},
  volume = {82},
  number = {3},
  pages = {30003},
  doi = {https://doi.org/10.1209/0295-5075/82/30003}
}
Maes, C., Netocný, K. and Wynants, B. On and beyond entropy production; the case of Markov jump processes 2008 Markov Processes and Related Fields
Vol. 14, pp. 445-464 
article  
BibTeX:
@article{Maes2008_vol14,
  author = {Maes, C. and Netocný, K. and Wynants, B.},
  title = {On and beyond entropy production; the case of Markov jump processes},
  journal = {Markov Processes and Related Fields},
  year = {2008},
  volume = {14},
  pages = {445--464}
}
Maes, C., Netocný, K. and Wynants, B. Steady state statistics of driven diffusions 2008 Phys. A
Vol. 387(12), pp. 2675-2689 
article DOI URL 
BibTeX:
@article{Maes2008_vol387,
  author = {Maes, C. and Netocný, K. and Wynants, B.},
  title = {Steady state statistics of driven diffusions},
  journal = {Phys. A},
  year = {2008},
  volume = {387},
  number = {12},
  pages = {2675--2689},
  url = {http://www.sciencedirect.com/science/article/pii/S0378437108001210},
  doi = {https://doi.org/10.1016/j.physa.2008.01.097}
}
Marini Bettolo Marconi, U., Puglisi, A., Rondoni., L. and Vulpiani, A. Fluctuation-dissipation: Response theory in statistical physics 2008 Phys. Rep.
Vol. 461, pp. 111 
article DOI  
BibTeX:
@article{Marconi2008_vol461,
  author = {Marini Bettolo Marconi, U. and Puglisi, A. and Rondoni. L. and Vulpiani, A.},
  title = {Fluctuation-dissipation: Response theory in statistical physics},
  journal = {Phys. Rep.},
  year = {2008},
  volume = {461},
  pages = {111},
  doi = {https://doi.org/10.1016/j.physrep.2008.02.002}
}
Ming, L. and Vitanyi, P. An introduction to Kolomogorov complexity and its applications 2008   book  
BibTeX:
@book{Ming2008_vol,
  author = {Ming, L. and Vitanyi, P.},
  title = {An introduction to Kolomogorov complexity and its applications},
  publisher = {Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA},
  year = {2008}
}
Ohkubo, J. Approximation scheme for master equations: Variational approach to multivariate case 2008 J. Chem. Phys.
Vol. 129(4), pp. 044108 
article DOI  
BibTeX:
@article{Ohkubo2008TJocp129,
  author = {Ohkubo, Jun},
  title = {Approximation scheme for master equations: Variational approach to multivariate case},
  journal = {J. Chem. Phys.},
  publisher = {AIP},
  year = {2008},
  volume = {129},
  number = {4},
  pages = {044108},
  doi = {https://doi.org/10.1063/1.2957462}
}
Peliti, L. On the work - Hamiltonian connection in manipulated systems 2008 J. Stat. Mech: Theory Exp.(P05002)  article DOI  
Abstract: I examine the 'physical inconsistencies' pointed out in a recent work as
deriving from the use of the expression dW/dt =partial derivative H(x,
t)/partial derivative t which appears in. fluctuation relations for
manipulated system, such as Jarzynski's equality. I show that these
inconsistencies are illusory, since the 'arbitrary parameters' that appear in
the expression of the free-energy difference obtained from this relation turn
out to have a direct and simple physical interpretation connected with the
physical setup needed to perform the manipulation.
BibTeX:
@article{Peliti2008_vol,
  author = {Peliti, L.},
  title = {On the work - Hamiltonian connection in manipulated systems},
  journal = {J. Stat. Mech: Theory Exp.},
  publisher = {Iop Publishing Ltd},
  year = {2008},
  number = {P05002},
  doi = {https://doi.org/10.1088/1742-5468/2008/05/P05002}
}
Ritort, F. Nonequilibrium Fluctuations in small systems: from physics to biology 2008 Adv. Chem. Phys.
Vol. 137, pp. 31-123 
article DOI  
BibTeX:
@article{Ritort2008_vol137,
  author = {Ritort, F.},
  title = {Nonequilibrium Fluctuations in small systems: from physics to biology},
  journal = {Adv. Chem. Phys.},
  year = {2008},
  volume = {137},
  pages = {31--123},
  doi = {https://doi.org/10.1002/9780470238080.ch2}
}
Ross, J. Thermodynamics and fluctuations far from equilibrium 2008   book  
BibTeX:
@book{Book_Ross2008,
  author = {Ross, J.},
  title = {Thermodynamics and fluctuations far from equilibrium},
  publisher = {Springer Berlin Heidelberg NewYork},
  year = {2008}
}
Sano, M.M. The steady state distribution of the master equation 2008 J. Phys. A: Math. Theor.
Vol. 41(43), pp. 435001 
article DOI  
Abstract: The steady states of the master equation are investigated. We give two
expressions for the steady state distribution of the master equation a la the
Zubarev-McLennan steady state distribution, i.e., the exact expression and
the expression near equilibrium. The latter expression obtained looks similar
to that of recent attempts to construct steady state thermodynamics.
BibTeX:
@article{Sano2008_vol41,
  author = {Sano, M. M.},
  title = {The steady state distribution of the master equation},
  journal = {J. Phys. A: Math. Theor.},
  publisher = {Iop Publishing Ltd},
  year = {2008},
  volume = {41},
  number = {43},
  pages = {435001},
  doi = {https://doi.org/10.1088/1751-8113/41/43/435001}
}
Sasa, S. and Tasaki, H. Steady state thermodynamics for heat conduction 2008 Phys. Rev. Lett.
Vol. 100, pp. 230602 
article  
BibTeX:
@article{Sasa2008_vol100,
  author = {Sasa, S. and Tasaki, H.},
  title = {Steady state thermodynamics for heat conduction},
  journal = {Phys. Rev. Lett.},
  year = {2008},
  volume = {100},
  pages = {230602}
}
Schmiedl, T. and Seifert, U. Efficiency at maximum power: An analytically solvable model for stochastic heat engines 2008 Europhys. Lett.
Vol. 81(2), pp. 20003 
article URL 
Abstract: We study a class of cyclic Brownian heat engines in the framework of
finite-time thermodynamics. For infinitely long cycle times, the engine works
at the Carnot efficiency limit producing, however, zero power. For the
efficiency at maximum power, we find a universal expression, different from
the endoreversible Curzon-Ahlborn efficiency. Our results are illustrated
with a simple one-dimensional engine working in and with a time-dependent
harmonic potential.
BibTeX:
@article{Schmiedl2008_vol81,
  author = {T. Schmiedl and U. Seifert},
  title = {Efficiency at maximum power: An analytically solvable model for stochastic heat engines},
  journal = {Europhys. Lett.},
  year = {2008},
  volume = {81},
  number = {2},
  pages = {20003},
  url = {http://stacks.iop.org/0295-5075/81/i=2/a=20003}
}
Schmiedl, T. and Seifert, U. Efficiency of molecular motors at maximum power 2008 Europhys. Lett.
Vol. 83, pp. 30005 
article DOI  
Abstract: Molecular motors transduce chemical energy obtained from hydrolizing ATP into
mechanical work exerted against an external force. We calculate their
efficiency at maximum power output for two simple generic models and show
that the qualitative behaviour depends crucially on the position of the
transition state or, equivalently, on the load distribution factor.
Specifically, we find a transition state near the initial state (sometimes
characterized as a "power stroke") to be most favorable with respect to both
high power output and high efficiency at maximum power. In this regime,
driving the motor further out of equilibrium by applying higher chemical
potential differences can even, counterintuitively, increase the efficiency.
BibTeX:
@article{Schmiedl2008_vol83a,
  author = {T. Schmiedl and U. Seifert},
  title = {Efficiency of molecular motors at maximum power},
  journal = {Europhys. Lett.},
  year = {2008},
  volume = {83},
  pages = {30005},
  doi = {https://doi.org/10.1209/0295-5075/83/30005}
}
Seifert, U. Stochastic thermodynamics 2008 Lecture Notes: 'Soft Matter. From Synthetic to Biological Materials'', 39th Spring School 2008. Institute of Solid State Research, Forschungszentrum J�lich, ISBN 978-3-89336-517-3  conference  
BibTeX:
@conference{Seifert2008_vol,
  author = {U. Seifert},
  title = {Stochastic thermodynamics},
  booktitle = {Lecture Notes: 'Soft Matter. From Synthetic to Biological Materials'', 39th Spring School 2008. Institute of Solid State Research, Forschungszentrum J�lich, ISBN 978-3-89336-517-3},
  year = {2008}
}
Seifert, U. Stochastic thermodynamics: principles and perspectives 2008 Eur. Phys. J. B
Vol. 64(3-4), pp. 423-431 
article DOI  
Abstract: Stochastic thermodynamics provides a framework for describing small systems
like colloids or biomolecules driven out of equilibrium but still in contact
with a heat bath. Both, a first-law like energy balance involving exchanged
heat and entropy production entering refinements of the second law can
consistently be defined along single stochastic trajectories. Various exact
relations involving the distribution of such quantities like integral and
detailed fluctuation theorems for total entropy production and the Jarzynski
relation follow from such an approach based on Langevin dynamics. Analogues
of these relations can be proven for any system obeying a stochastic master
equation like, in particular, (bio)chemically driven enzyms or whole reaction
networks. The perspective of investigating such relations for stochastic
field equations like the Kardar-Parisi-Zhang equation is sketched as well.
BibTeX:
@article{Seifert2008_vol64,
  author = {Seifert, U.},
  title = {Stochastic thermodynamics: principles and perspectives},
  journal = {Eur. Phys. J. B},
  publisher = {SPRINGER},
  year = {2008},
  volume = {64},
  number = {3-4},
  pages = {423--431},
  doi = {https://doi.org/10.1140/epjb/e2008-00001-9}
}
Sevick, E.M., Prabhakar, R., Williams, S.R. and Searles, D.J. Fluctuation theorems 2008 Annu. Rev. Phys. Chem.
Vol. 59, pp. 603-633 
article DOI  
Abstract: Fluctuation theorems, developed over the past 15 years, have resulted in
fundamental breakthroughs in our understanding of how irreversibility emerges
from reversible dynamics and have provided new statistical mechanical
relationships for free-energy changes. They describe the statistical
fluctuations in time-averaged properties of many-particle systems such as
fluids driven to nonequilibrium states and provide sonic of the few
analytical expressions that describe nonequilibrium states. Quantitative
predictions on fluctuations in small systems that are monitored over short
periods can also be made, and therefore the fluctuation theorems allow
thermodynamic concepts to be extended to apply to finite systems. For this
reason, we anticipate an important role for fluctuation theorems in the
design of nanotechnological devices and in the understanding of biological
processes. This review discusses these theorems, their physical significance,
and results for experimental and model systems.
BibTeX:
@article{Sevick2008_vol59,
  author = {Sevick, E. M. and Prabhakar, R. and Williams, S. R. and Searles, D. J.},
  title = {Fluctuation theorems},
  journal = {Annu. Rev. Phys. Chem.},
  publisher = {Annual Reviews},
  year = {2008},
  volume = {59},
  pages = {603--633},
  doi = {https://doi.org/10.1146/annurev.physchem.58.032806.104555}
}
Tailleur, J., Kurchan, J. and Lecomte, V. Mapping out-of-equilibrium into equilibrium in one-dimensional transport models 2008 J. Phys. A: Math. Theor.
Vol. 41(50), pp. 505001 
article URL 
Abstract: Systems with conserved currents driven by reservoirs at the boundaries offer
an opportunity for a general analytic study that is unparalleled in more
general out-of-equilibrium systems. The evolution of coarse-grained variables
is governed by stochastic hydrodynamic equations in the limit of small noise.
As such it is amenable to a treatment formally equal to the semiclassical
limit of quantum mechanics, which reduces the problem of finding the full
distribution functions to the solution of a set of Hamiltonian equations. It
is in general not possible to solve such equations explicitly, but for an
interesting set of problems (the driven symmetric exclusion process and the
Kipnis?Marchioro?Presutti model) it can be done by a sequence of remarkable
changes of variables. We show that at the bottom of this 'miracle' is the
surprising fact that these models can be taken through a non-local
transformation into isolated systems satisfying detailed balance, with
probability distribution given by the Gibbs?Boltzmann measure. This procedure
can in fact also be used to obtain an elegant solution of the much simpler
problem of non-interacting particles diffusing in a one-dimensional
potential, again using a transformation that maps the driven problem into an
undriven one.
BibTeX:
@article{Tailleur2008_vol41,
  author = {Julien Tailleur and Jorge Kurchan and Vivien Lecomte},
  title = {Mapping out-of-equilibrium into equilibrium in one-dimensional transport models},
  journal = {J. Phys. A: Math. Theor.},
  year = {2008},
  volume = {41},
  number = {50},
  pages = {505001},
  url = {http://stacks.iop.org/1751-8121/41/i=50/a=505001}
}
Tomita, H. and Sano, M.M. Irreversible circulation of fluctuation and entropy production 2008 Prog. of Theo. Phys.
Vol. 119(4), pp. 515-531 
article DOI  
Abstract: Physical and chemical stochastic processes described by the master equation
are investigated. The system-size expansion, called the Omega-expansion,
transforms the master equation to the corresponding Fokker-Planck equation.
In this paper, we examine the entropy production for both the master equation
and the corresponding Fokker-Planck equation. For the master equation, the
exact expression of the entropy production was recently derived by Gaspard
using Kolmogorov-Sinai entropy (J. Stat. Phys. 117 (2004), 599 [Errata; 126
(2006), 1109]). Although Gaspard's expression is derived from a stochastic
consideration, it should be noted that it coincides with the thermodynamical
expression. For the corresponding Fokker-Planck equation, by using the
detailed imbalance relation, which appears in the process of deriving the
fluctuation theorem through the Onsager-Machlup theory, the entropy
production is expressed in terms of the irreversible circulation of
fluctuation, which was proposed by Tomita and Tomita (Prog. Theor. Phys. 51
(1974), 1731 [Errata, 53 (1975), 1546b]). However, this expression for the
corresponding Fokker-Planck equation differs from that of the entropy
production for the master equation. This discrepancy is due to the difference
between the master equation and the corresponding Fokker-Planck equation,
namely the former treats discrete events, but the latter equation is an
approximation of the former one. In fact, in the latter equation, the
original discrete events are smoothed out. To overcome this difficulty, we
propose a hypothetical path weight principle. By using this principle, the
modified expression of the entropy production for the corresponding
Fokker-Planck equation coincides with that of the master equation (i.e., the
thermodynamical expression) for a simple chemical reaction system and a
diffusion system.
BibTeX:
@article{Tomita2008_vol119,
  author = {Tomita, H. and Sano, M. M.},
  title = {Irreversible circulation of fluctuation and entropy production},
  journal = {Prog. of Theo. Phys.},
  publisher = {Progress Theoretical Physics Publication Office},
  year = {2008},
  volume = {119},
  number = {4},
  pages = {515--531},
  doi = {https://doi.org/10.1143/PTP.119.515}
}
Touchette, H. Simple spin models with non-concave entropies 2008 Am. J. Phys.
Vol. 76(1), pp. 26-30 
article DOI URL 
BibTeX:
@article{Touchette2008_vol76,
  author = {Touchette, H.},
  title = {Simple spin models with non-concave entropies},
  journal = {Am. J. Phys.},
  year = {2008},
  volume = {76},
  number = {1},
  pages = {26--30},
  url = {http://scitation.aip.org/content/aapt/journal/ajp/76/1/10.1119/1.2794350},
  doi = {https://doi.org/10.1119/1.2794350}
}
Tu, Z.C. Efficiency at maximum power of Feynman's ratchet as a heat engine 2008 J. Phys. A: Math. Theor.
Vol. 41(31), pp. 312003 
article URL 
BibTeX:
@article{Tu2008_vol41,
  author = {Z. C. Tu},
  title = {Efficiency at maximum power of Feynman's ratchet as a heat engine},
  journal = {J. Phys. A: Math. Theor.},
  year = {2008},
  volume = {41},
  number = {31},
  pages = {312003},
  url = {http://stacks.iop.org/1751-8121/41/i=31/a=312003}
}
Tyson, J.J., Albert, R., Goldbeter, A., Ruoff, P. and Sible, J. Biological switches and clocks 2008 Journal of The Royal Society Interface
Vol. 5(Suppl 1), pp. S1-S8 
article DOI URL 
Abstract: To introduce this special issue on biological switches and clocks, we review
the historical development of mathematical models of bistability and
oscillations in chemical reaction networks. In the 1960s and 1970s, these
models were limited to well-studied biochemical examples, such as glycolytic
oscillations and cyclic AMP signalling. After the molecular genetics
revolution of the 1980s, the field of molecular cell biology was thrown wide
open to mathematical modellers. We review recent advances in modelling the
gene?protein interaction networks that control circadian rhythms, cell cycle
progression, signal processing and the design of synthetic gene networks.
BibTeX:
@article{Tyson2008_vol5,
  author = {Tyson, John J and Albert, Reka and Goldbeter, Albert and Ruoff, Peter and Sible, Jill},
  title = {Biological switches and clocks},
  journal = {Journal of The Royal Society Interface},
  year = {2008},
  volume = {5},
  number = {Suppl 1},
  pages = {S1-S8},
  url = {http://rsif.royalsocietypublishing.org/content/5/Suppl_1/S1.abstract},
  doi = {https://doi.org/10.1098/rsif.2008.0179.focus}
}
V. Viasnoff, N.C. and Bockelmann, U. Probing DNA base pairing energy profiles using a nanopore 2008 Eur. Biophys. J.
Vol. 38(2), pp. 263-269 
article DOI  
BibTeX:
@article{Viasnoff2008_vol38,
  author = {V. Viasnoff, N. Chiaruttini and U. Bockelmann},
  title = {Probing DNA base pairing energy profiles using a nanopore},
  journal = {Eur. Biophys. J.},
  year = {2008},
  volume = {38},
  number = {2},
  pages = {263--269},
  doi = {https://doi.org/10.1007/s00249-008-0372-2}
}
Varadhan, S.R.S. Large deviations 2008 The Annals of Probability
Vol. 36(2), pp. 397-419 
article DOI  
BibTeX:
@article{Varadhan2008_vol36,
  author = {Varadhan, S. R. S.},
  title = {Large deviations},
  journal = {The Annals of Probability},
  year = {2008},
  volume = {36},
  number = {2},
  pages = {397--419},
  doi = {https://doi.org/10.1214/07-AOP348}
}
Markvart, T. The thermodynamics of optical étendue 2007 Journal of Optics A: Pure and Applied Optics
Vol. 10(1), pp. 015008 
article DOI  
BibTeX:
@article{Markvart2007vol10,
  author = {Markvart, T},
  title = {The thermodynamics of optical étendue},
  journal = {Journal of Optics A: Pure and Applied Optics},
  publisher = {IOP Publishing},
  year = {2007},
  volume = {10},
  number = {1},
  pages = {015008},
  doi = {https://doi.org/10.1088/1464-4258/10/01/015008}
}
Imparato, A., Peliti, L., Pesce, G., Rusciano, G. and Sasso, A. Work and heat probability distribution of an optically driven Brownian particle: Theory and experiments 2007 Phys. Rev. E
Vol. 76, pp. 050101 
article DOI URL 
BibTeX:
@article{Imparato2007_vol76,
  author = {Imparato, A. and Peliti, L. and Pesce, G. and Rusciano, G. and Sasso, A.},
  title = {Work and heat probability distribution of an optically driven Brownian particle: Theory and experiments},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2007},
  volume = {76},
  pages = {050101},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.76.050101},
  doi = {https://doi.org/10.1103/PhysRevE.76.050101}
}
Smith, B.J. and Raymer, M.G. Photon wave functions, wave-packet quantization of light, and coherence theory 2007 New Journal of Physics
Vol. 9(11), pp. 414-414 
article DOI  
BibTeX:
@article{Smith2007vol9,
  author = {Smith, Brian J and Raymer, M G},
  title = {Photon wave functions, wave-packet quantization of light, and coherence theory},
  journal = {New Journal of Physics},
  publisher = {IOP Publishing},
  year = {2007},
  volume = {9},
  number = {11},
  pages = {414--414},
  doi = {https://doi.org/10.1088/1367-2630/9/11/414}
}
Baylis, W.E., Cabrera, R. and Keselica, D. Quantum/Classical Interface: Fermion Spin 2007   article  
Abstract: Although intrinsic spin is usually viewed as a purely quantum property with no classical analog, we present evidence here that fermion spin has a classical origin rooted in the geometry of three-dimensional physical space. Our approach to the quantum/classical interface is based on a formulation of relativistic classical mechanics that uses spinors. Spinors and projectors arise naturally in the Clifford's geometric algebra of physical space and not only provide powerful tools for solving problems in classical electrodynamics, but also reproduce a number of quantum results. In particular, many properites of elementary fermions, as spin-1/2 particles, are obtained classically and relate spin, the associated g-factor, its coupling to an external magnetic field, and its magnetic moment to Zitterbewegung and de Broglie waves. The relationship is further strengthened by the fact that physical space and its geometric algebra can be derived from fermion annihilation and creation operators. The approach resolves Pauli's argument against treating time as an operator by recognizing phase factors as projected rotation operators.
BibTeX:
@article{Baylis2007vol,
  author = {W. E. Baylis and R. Cabrera and D. Keselica},
  title = {Quantum/Classical Interface: Fermion Spin},
  year = {2007}
}
Lau, A.W.C., Lacoste, D. and Mallick, K. Nonequilibrium Fluctuations and Mechanochemical Couplings of a Molecular Motor 2007 Phys. Rev. Lett.
Vol. 99, pp. 158102 
article DOI URL 
BibTeX:
@article{Lau2007_vol99,
  author = {Lau, A. W. C. and Lacoste, D. and Mallick, K.},
  title = {Nonequilibrium Fluctuations and Mechanochemical Couplings of a Molecular Motor},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2007},
  volume = {99},
  pages = {158102},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.99.158102},
  doi = {https://doi.org/10.1103/PhysRevLett.99.158102}
}
Tailleur, J., Kurchan, J. and Lecomte, V. Mapping Nonequilibrium onto Equilibrium: The Macroscopic Fluctuations of Simple Transport Models 2007 Phys. Rev. Lett.
Vol. 99, pp. 150602 
article DOI URL 
BibTeX:
@article{Tailleur2007_vol99,
  author = {Tailleur, Julien and Kurchan, Jorge and Lecomte, Vivien},
  title = {Mapping Nonequilibrium onto Equilibrium: The Macroscopic Fluctuations of Simple Transport Models},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2007},
  volume = {99},
  pages = {150602},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.99.150602},
  doi = {https://doi.org/10.1103/PhysRevLett.99.150602}
}
Markvart, T. Thermodynamics of losses in photovoltaic conversion 2007 Applied Physics Letters
Vol. 91(6) 
article DOI  
BibTeX:
@article{Markvart2007vol91,
  author = {Markvart, Tom},
  title = {Thermodynamics of losses in photovoltaic conversion},
  journal = {Applied Physics Letters},
  publisher = {AIP Publishing},
  year = {2007},
  volume = {91},
  number = {6},
  doi = {https://doi.org/10.1063/1.2766857}
}
Balinski, M. and Laraki, R. A theory of measuring, electing, and ranking 2007 Proceedings of the National Academy of Sciences
Vol. 104(21), pp. 8720-8725 
article DOI  
BibTeX:
@article{Balinski2007vol104,
  author = {M. Balinski and R. Laraki},
  title = {A theory of measuring, electing, and ranking},
  journal = {Proceedings of the National Academy of Sciences},
  publisher = {Proceedings of the National Academy of Sciences},
  year = {2007},
  volume = {104},
  number = {21},
  pages = {8720--8725},
  doi = {https://doi.org/10.1073/pnas.0702634104}
}
Banavar, J. and Maritan, A. The maximum relative entropy principle 2007 eprint arXiv:cond-mat/0703622  article  
BibTeX:
@article{Banavar2007_vol,
  author = {Banavar, J. and Maritan, A.},
  title = {The maximum relative entropy principle},
  journal = {eprint arXiv:cond-mat/0703622},
  year = {2007}
}
Bertin, E., Martens, K., Dauchot, O. and Droz, M. Intensive thermodynamic parameters in nonequilibrium systems 2007 Phys. Rev. E
Vol. 75, pp. 031120 
article DOI URL 
BibTeX:
@article{Bertin2007_vol75,
  author = {Bertin, Eric and Martens, Kirsten and Dauchot, Olivier and Droz, Michel},
  title = {Intensive thermodynamic parameters in nonequilibrium systems},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2007},
  volume = {75},
  pages = {031120},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.75.031120},
  doi = {https://doi.org/10.1103/PhysRevE.75.031120}
}
Hestenes, D. and Holt, J.W. Crystallographic space groups in geometric algebra 2007 Journal of Mathematical Physics
Vol. 48(2), pp. 023514 
article DOI  
BibTeX:
@article{Hestenes2007vol48,
  author = {David Hestenes and Jeremy W. Holt},
  title = {Crystallographic space groups in geometric algebra},
  journal = {Journal of Mathematical Physics},
  publisher = {AIP Publishing},
  year = {2007},
  volume = {48},
  number = {2},
  pages = {023514},
  doi = {https://doi.org/10.1063/1.2426416}
}
Timm, C. Gauge Theory for the Rate Equations: Electrodynamics on a Network 2007 Phys. Rev. Lett.
Vol. 98, pp. 070604 
article DOI URL 
BibTeX:
@article{Timm2007_vol98,
  author = {Timm, Carsten},
  title = {Gauge Theory for the Rate Equations: Electrodynamics on a Network},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2007},
  volume = {98},
  pages = {070604},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.98.070604},
  doi = {https://doi.org/10.1103/PhysRevLett.98.070604}
}
Schmiedl, T. and Seifert, U. Stochastic thermodynamics of chemical reaction networks 2007 The Journal of Chemical Physics
Vol. 126(4) 
article DOI  
BibTeX:
@article{Schmiedl2007vol126,
  author = {Schmiedl, Tim and Seifert, Udo},
  title = {Stochastic thermodynamics of chemical reaction networks},
  journal = {The Journal of Chemical Physics},
  publisher = {AIP Publishing},
  year = {2007},
  volume = {126},
  number = {4},
  doi = {https://doi.org/10.1063/1.2428297}
}
Andrieux, D. and Gaspard, P. A fluctuation theorem for currents and non-linear response coefficients 2007 J. Stat. Mech: Theory Exp., pp. P02006  article DOI  
Abstract: We use a recently proved fluctuation theorem for currents to develop a
response theory of non-equilibrium phenomena. In this framework, expressions
for the response coefficients of the currents at arbitrary orders in the
thermodynamic forces or affinities are obtained in terms of the fluctuations
of the cumulative currents and remarkable relations are obtained which are
the consequences of microreversibility beyond Onsager reciprocity relations.
BibTeX:
@article{Andrieux2007_vol,
  author = {Andrieux, D. and Gaspard, P.},
  title = {A fluctuation theorem for currents and non-linear response coefficients},
  journal = {J. Stat. Mech: Theory Exp.},
  publisher = {IOP PUBLISHING LTD},
  year = {2007},
  pages = {P02006},
  doi = {https://doi.org/10.1088/1742-5468/2007/02/P02006}
}
Andrieux, D. and Gaspard, P. Fluctuation theorem for currents and Schnakenberg network theory 2007 J. Stat. Phys.
Vol. 127, pp. 107-131 
article DOI  
Abstract: A fluctuation theorem is proved for the macroscopic currents of a system in a
nonequilibrium steady state, by using Schnakenberg network theory. The
theorem can be applied, in particular, in reaction systems where the
affinities or thermodynamic forces are defined globally in terms of the
cycles of the graph associated with the stochastic process describing the
time evolution.
BibTeX:
@article{Andrieux2007_vol127,
  author = {Andrieux, D. and Gaspard, P.},
  title = {Fluctuation theorem for currents and Schnakenberg network theory},
  journal = {J. Stat. Phys.},
  publisher = {Springer/plenum Publishers},
  year = {2007},
  volume = {127},
  pages = {107--131},
  doi = {https://doi.org/10.1007/s10955-006-9233-5}
}
Blickle, V., Speck, T., Lutz, C., Seifert, U. and Bechinger, C. Einstein Relation Generalized to Nonequilibrium 2007 Phys. Rev. Lett.
Vol. 98(21), pp. 210601 
article DOI  
BibTeX:
@article{Blickle2007_vol98,
  author = {Blickle, V. and Speck, T. and Lutz, C. and Seifert, U. and Bechinger, C.},
  title = {Einstein Relation Generalized to Nonequilibrium},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2007},
  volume = {98},
  number = {21},
  pages = {210601},
  doi = {https://doi.org/10.1103/PhysRevLett.98.210601}
}
Chahine, J., Oliveira, R.J., Leite, V.B.P. and Wang, J. Configuration-dependent diffusion can shift the kinetic transition state and barrier height of protein folding 2007 Proc. Natl. Acad. Sci. U.S.A.
Vol. 104(37), pp. 14646-14651 
article DOI  
Abstract: We show that diffusion can play an important role in protein-folding
kinetics. We explicitly calculate the diffusion coefficient of protein
folding in a lattice model. We found that diffusion typically is
configuration- or reaction coordinate-dependent. The diffusion coefficient is
found to be decreasing with respect to the progression of folding toward the
native state, which is caused by the collapse to a compact state constraining
the configurational space for exploration. The configuration- or
position-dependent diffusion coefficient has a significant contribution to
the kinetics in addition to the thermodynamic free-energy barrier. It
effectively changes (increases in this case) the kinetic barrier height as
well as the position of the corresponding transition state and therefore
modifies the folding kinetic rates as well as the kinetic routes. The
resulting folding time, by considering both kinetic diffusion and the
thermodynamic folding free-energy profile, thus is slower than the estimation
from the thermodynamic free-energy barrier with constant diffusion but is
consistent with the results from kinetic simulations. The configuration- or
coordinate-dependent diffusion is especially important with respect to fast
folding, when there is a small or no free-energy barrier and kinetics is
controlled by diffusion. Including the configurational dependence will
challenge the transition state theory of protein folding. The classical
transition state theory will have to be modified to be consistent. The more
detailed folding mechanistic studies involving phi value analysis based on
the classical transition state theory also will have to be modified
quantitatively.
BibTeX:
@article{Chahine2007_vol104,
  author = {Chahine, J. and Oliveira, R. J. and Leite, V. B. P. and Wang, J.},
  title = {Configuration-dependent diffusion can shift the kinetic transition state and barrier height of protein folding},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  publisher = {Natl Acad Sciences},
  year = {2007},
  volume = {104},
  number = {37},
  pages = {14646--14651},
  doi = {https://doi.org/10.1073/pnas.0606506104}
}
Cohen, E. and van Zon, R. Stationary state fluctuation theorems for driven Langevin systems 2007 C. R. Phys.
Vol. 8(5-6), pp. 507- 517 
article DOI URL 
BibTeX:
@article{Cohen2007_vol8,
  author = {E.G.D. Cohen and R. van Zon},
  title = {Stationary state fluctuation theorems for driven Langevin systems},
  journal = {C. R. Phys.},
  year = {2007},
  volume = {8},
  number = {5-6},
  pages = {507-- 517},
  note = {Work, dissipation, and fluctuations in nonequilibrium physics},
  url = {http://www.sciencedirect.com/science/article/B6X19-4P2JD2C-1/2/c146bc8df6cc76bf9ab16670afdf866a},
  doi = {https://doi.org/10.1016/j.crhy.2007.04.009}
}
De Roeck, W. and Maes, C. Symmetries of the ratchet current 2007 Phys. Rev. E
Vol. 76(5), pp. 051117 
article DOI  
BibTeX:
@article{DeRoeck2007_vol76,
  author = {De Roeck, W. and Maes, C.},
  title = {Symmetries of the ratchet current},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2007},
  volume = {76},
  number = {5},
  pages = {051117},
  doi = {https://doi.org/10.1103/PhysRevE.76.051117}
}
Derrida, B. Non-equilibrium steady states: Fluctuations and large deviations of the density and of the current 2007 J. Stat. Mech: Theory Exp., pp. P07023  article DOI  
Abstract: These lecture notes give a short review of methods such as the matrix ansatz,
the additivity principle or the macroscopic fluctuation theory, developed
recently in the theory of non-equilibrium phenomena. They show how these
methods allow us to calculate the. fluctuations and large deviations of the
density and the current in non-equilibrium steady states of systems like
exclusion processes. The properties of these fluctuations and large deviation
functions in non-equilibrium steady states ( for example, non-Gaussian.
fluctuations of density or non-convexity of the large deviation function
which generalizes the notion of free energy) are compared with those of
systems at equilibrium.
BibTeX:
@article{Derrida2007_vol,
  author = {Derrida, B.},
  title = {Non-equilibrium steady states: Fluctuations and large deviations of the density and of the current},
  journal = {J. Stat. Mech: Theory Exp.},
  publisher = {Iop Publishing Ltd},
  year = {2007},
  pages = {P07023},
  doi = {https://doi.org/10.1088/1742-5468/2007/07/P07023}
}
Dresselhaus, M.S., Chen, G., Tang, M.Y., Yang, R.G., Lee, H., Wang, D.Z., Ren, Z.F., Fleurial, J.-P. and Cogna, P. New Directions for Low-Dimensional Thermoelectric Materials 2007 Adv. Mater.
Vol. 19(8), pp. 1043-1053 
article DOI URL 
BibTeX:
@article{Dresselhaus2007_vol19,
  author = {Dresselhaus, M. S. and Chen, G. and Tang, M. Y. and Yang, R. G. and Lee, H. and Wang, D. Z. and Ren, Z. F. and Fleurial, J.-P. and Cogna, P.},
  title = {New Directions for Low-Dimensional Thermoelectric Materials},
  journal = {Adv. Mater.},
  publisher = {WILEY-VCH Verlag},
  year = {2007},
  volume = {19},
  number = {8},
  pages = {1043--1053},
  url = {http://dx.doi.org/10.1002/adma.200600527},
  doi = {https://doi.org/10.1002/adma.200600527}
}
Esposito, M., Harbola, U. and Mukamel, S. Entropy fluctuation theorems in driven open systems: Application to electron counting statistics 2007 Phys. Rev. E
Vol. 76(3), pp. 031132 
article DOI  
BibTeX:
@article{Esposito2007_vol76,
  author = {Esposito, M. and Harbola, U. and Mukamel, S.},
  title = {Entropy fluctuation theorems in driven open systems: Application to electron counting statistics},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2007},
  volume = {76},
  number = {3},
  pages = {031132},
  doi = {https://doi.org/10.1103/PhysRevE.76.031132}
}
Fingerle, A. Relativistic fluctuation theorems 2007 C. R. Phys.
Vol. 8(5-6), pp. 696-713 
article DOI URL 
BibTeX:
@article{Fingerle2007_vol8,
  author = {Axel Fingerle},
  title = {Relativistic fluctuation theorems},
  journal = {C. R. Phys.},
  year = {2007},
  volume = {8},
  number = {5-6},
  pages = {696--713},
  url = {http://www.sciencedirect.com/science/article/pii/S1631070507000965},
  doi = {https://doi.org/10.1016/j.crhy.2007.05.015}
}
Garrahan, J.P., Jack, R.L., Lecomte, V., Pitard, E., van Duijvendijk, K. and van Wijland, F. Dynamical first-order phase transition in kinetically constrained models of glasses 2007 Physical review letters
Vol. 98(19), pp. 195702 
article URL 
BibTeX:
@article{Garrahan2007vol98,
  author = {Garrahan, Juan P and Jack, Robert L and Lecomte, Vivien and Pitard, Estelle and van Duijvendijk, Kristina and van Wijland, Frédéric},
  title = {Dynamical first-order phase transition in kinetically constrained models of glasses},
  journal = {Physical review letters},
  publisher = {APS},
  year = {2007},
  volume = {98},
  number = {19},
  pages = {195702},
  url = {https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.98.195702}
}
Gaspard, P. and Gerritsma, E. The stochastic chemomechanics of the F_1-ATPase molecular motor 2007 J. Theor. Biol.
Vol. 247(4), pp. 672-686 
article DOI URL 
Abstract: We report a theoretical study of the F 1 -ATPase molecular rotary motor
experimentally studied by R. Yasuda, H. Noji, M. Yoshida, K. Kinosita Jr., H.
Itoh [Nature 410 (2001) 898]. The motor is modeled as a stochastic process
for the angle of its shaft and the chemical state of its catalytic sites. The
stochastic process is ruled by six coupled Fokker-“Planck equations for the
biased diffusion of the angle and the random jumps between the chemical
states. The model reproduces the experimental observations that the motor
proceeds by substeps and the rotation rate saturates at high concentrations
of adenosine triphosphate or at low values of the friction coefficient.
Moreover, predictions are made about the dependence of the rotation rate on
temperature, and about the behavior of the F 1 motor under the effect of an
external torque, especially, in the regime of synthesis of adenosine
triphosphate.
BibTeX:
@article{Gaspard2007_vol247,
  author = {P. Gaspard and E. Gerritsma},
  title = {The stochastic chemomechanics of the F_1-ATPase molecular motor},
  journal = {J. Theor. Biol.},
  year = {2007},
  volume = {247},
  number = {4},
  pages = {672--686},
  url = {http://www.sciencedirect.com/science/article/pii/S0022519307001579},
  doi = {https://doi.org/10.1016/j.jtbi.2007.03.034}
}
Harris, R.J. and Schütz, G.M. Fluctuation theorems for stochastic dynamics 2007 J. Stat. Mech: Theory Exp.(07), pp. P07020  article URL 
Abstract: Fluctuation theorems make use of time reversal to make predictions about
entropy production in many-body systems far from thermal equilibrium. Here we
review the wide variety of distinct, but interconnected, relations that have
been derived and investigated theoretically and experimentally.
Significantly, we demonstrate, in the context of Markovian stochastic
dynamics, how these different fluctuation theorems arise from a simple
fundamental time-reversal symmetry of a certain class of observables.
Appealing to the notion of Gibbs entropy allows for a microscopic definition
of entropy production in terms of these observables. We work with the master
equation approach, which leads to a mathematically straightforward proof and
provides direct insight into the probabilistic meaning of the quantities
involved. Finally, we point to some experiments that elucidate the practical
significance of fluctuation relations.
BibTeX:
@article{Harris2007_vol2007,
  author = {Harris, R. J. and Schütz, G. M.},
  title = {Fluctuation theorems for stochastic dynamics},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2007},
  number = {07},
  pages = {P07020},
  url = {http://stacks.iop.org/1742-5468/2007/i=07/a=P07020}
}
Hestenes, D. Spacetime Geometry with Geometric Calculus 2007   article  
BibTeX:
@article{Hestenes2007volz,
  author = {D. Hestenes},
  title = {Spacetime Geometry with Geometric Calculus},
  year = {2007}
}
Hitzer, E. Tutorial on Reflections in Geometric Algebra 2007 (14-21)Lecture notes of the international Workshop for ''Computational Science with Geometric Algebra'', pp. 34-44  inproceedings  
Abstract: This tutorial focuses on describing the implementation and use of reflections
in the geometric algebras of three-dimensional (3D) Euclidean space and in
the five-dimensional (5D) conformal model of Euclidean space. In the latter
reflections at parallel planes serve to implement translations as well.
Combinations of reflections allow to implement all isometric transformations.
As a concrete example we treat the symmetries of (2D and 3D) space lattice
crystal cells. All 32 point groups of three dimensional crystal cells (10
point groups in 2D) are exclusively described by vectors (two for each cell
in 2D, three for one particular cell in 3D) taken from the physical cell.
Geometric multiplication of these vectors completely generates all
symmetries, including reflections, rotations, inversions, rotary reflections
and rotary-inversions. The inclusion of translations with the help of the 5D
conformal model of 3D Euclidean space allows the full formulation of the 230
crystallographic space groups in geometric algebra. The sets of vectors
necessary are illustrated in drawings and all symmetry group elements are
listed explicitly as geometric vector products. Finally a new free
interactive software tool is introduced, that visualizes all symmetry
transformations in the way described in the main geometrical part of this
tutorial.
BibTeX:
@inproceedings{Hitzer2007vol,
  author = {Eckhard Hitzer},
  title = {Tutorial on Reflections in Geometric Algebra},
  booktitle = {Lecture notes of the international Workshop for ''Computational Science with Geometric Algebra''},
  year = {2007},
  number = {14-21},
  pages = {34--44}
}
Horowitz, J. and Jarzynski, C. Comparison of work fluctuation relations 2007 J. Stat. Mech: Theory Exp.(11), pp. P11002  article DOI  
Abstract: We compare two predictions regarding the microscopic fluctuations of a system
that is driven away from equilibrium: one due to Crooks (1998
J. Stat. Phys. 90 1481) which has gained recent attention in the context
of nonequilibrium work and fluctuation theorems, and an earlier, analogous
result obtained by Bochkov and
Kuzovlev(1977 Zh. Eksp. Teor. Fiz. 72 238). Both results quantify
irreversible behavior by comparing probabilities of observing particular
microscopic trajectories during thermodynamic processes related by
time-reversal, and both are expressed in terms of the work performed when
driving the system away from equilibrium. By deriving these two predictions
within a single, Hamiltonian framework, we clarify the precise relationship
between them and discuss how the different definitions of work used by the
two sets of authors give rise to different physical interpretations. We then
obtain a extended fluctuation relation that contains both the Crooks and the
Bochkov-“Kuzovlev results as special cases.
BibTeX:
@article{Horowitz2007_vol,
  author = {J. Horowitz and C. Jarzynski},
  title = {Comparison of work fluctuation relations},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2007},
  number = {11},
  pages = {P11002},
  doi = {https://doi.org/10.1088/1742-5468/2007/11/P11002}
}
Imparato, A. and Peliti, L. Work and heat probability distributions in out-of-equilibrium systems 2007 C. R. Phys.
Vol. 8(5?6), pp. 556-566 
article DOI URL 
BibTeX:
@article{Imparato2007_vol8,
  author = {Imparato, A. and Peliti, L.},
  title = {Work and heat probability distributions in out-of-equilibrium systems},
  journal = {C. R. Phys.},
  year = {2007},
  volume = {8},
  number = {5?6},
  pages = {556--566},
  url = {http://www.sciencedirect.com/science/article/pii/S1631070507000801},
  doi = {https://doi.org/10.1016/j.crhy.2007.04.017}
}
Jarzynski, C. Comparison of far-from-equilibrium work relations 2007 C. R. Phys.
Vol. 8(5-6), pp. 495-506 
article DOI  
Abstract: Recent theoretical predictions and experimental measurements have
demonstrated that equilibrium free energy differences can be obtained from
exponential averages of nonequilibrium work values. These results are similar
in structure, but not equivalent, to predictions derived nearly three decades
ago by Bochkov and Kuzovlev, which are also formulated in terms of
exponential averages but do not involve free energy differences. In the
present article the relationship between these two sets of results is
elucidated, then illustrated with an undergraduate-level solvable model. The
analysis also serves to clarify the physical interpretation of different
definitions of work that have been used in the context of thermodynamic
systems driven away from equilibrium.
BibTeX:
@article{Jarzynski2007_vol8,
  author = {Jarzynski, C.},
  title = {Comparison of far-from-equilibrium work relations},
  journal = {C. R. Phys.},
  publisher = {Elsevier France-editions Scientifiques Medicales Elsevier},
  year = {2007},
  volume = {8},
  number = {5-6},
  pages = {495--506},
  doi = {https://doi.org/10.1016/j.crhy.2007.04.010}
}
Kawai, R., Parrondo, J.M.R. and Van den Broeck, C. Dissipation: The Phase-Space Perspective 2007 Phys. Rev. Lett.
Vol. 98(8), pp. 080602 
article DOI  
BibTeX:
@article{Kawai2007_vol98,
  author = {Kawai, R. and Parrondo, J. M. R. and Van den Broeck, C.},
  title = {Dissipation: The Phase-Space Perspective},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2007},
  volume = {98},
  number = {8},
  pages = {080602},
  doi = {https://doi.org/10.1103/PhysRevLett.98.080602}
}
Kolomeisky, A.B. and Fisher, M.E. Molecular Motors: A Theorist's Perspective 2007 Annu. Rev. Phys. Chem.
Vol. 58(1), pp. 675-695 
article DOI URL 
BibTeX:
@article{Kolomeisky2007_vol58,
  author = {Kolomeisky, Anatoly B. and Fisher, Michael E.},
  title = {Molecular Motors: A Theorist's Perspective},
  journal = {Annu. Rev. Phys. Chem.},
  year = {2007},
  volume = {58},
  number = {1},
  pages = {675--695},
  url = {http://dx.doi.org/10.1146/annurev.physchem.58.032806.104532},
  doi = {https://doi.org/10.1146/annurev.physchem.58.032806.104532}
}
Krzakala, F., Montanari, A., Ricci-Tersenghi, F., Semerjian, G. and Zdeborová, L. Gibbs states and the set of solutions of random constraint satisfaction problems 2007 Proc. Natl. Acad. Sci. U.S.A.
Vol. 104(25), pp. 10318-10323 
article DOI URL 
BibTeX:
@article{Krzakala2007_vol104,
  author = {Krzakala, F. and Montanari, A and Ricci-Tersenghi, F and Semerjian, G and Zdeborová, L},
  title = {Gibbs states and the set of solutions of random constraint satisfaction problems},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  year = {2007},
  volume = {104},
  number = {25},
  pages = {10318--10323},
  url = {http://www.pnas.org/content/104/25/10318.abstract},
  doi = {https://doi.org/10.1073/pnas.0703685104}
}
Lau, A.W.C. and Lubensky, T.C. State-dependent diffusion: Thermodynamic consistency and its path integral formulation 2007 Phys. Rev. E
Vol. 76(1), pp. 011123 
article DOI  
BibTeX:
@article{Lau2007_vol76,
  author = {Lau, A. W. C. and Lubensky, T. C.},
  title = {State-dependent diffusion: Thermodynamic consistency and its path integral formulation},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2007},
  volume = {76},
  number = {1},
  pages = {011123},
  doi = {https://doi.org/10.1103/PhysRevE.76.011123}
}
Lecomte, V. Thermodynamique des histoires et fluctuations hors d'�quilibre 2007   phdthesis URL 
BibTeX:
@phdthesis{Lecomte2007_vol,
  author = {V. Lecomte},
  title = {Thermodynamique des histoires et fluctuations hors d'�quilibre},
  year = {2007},
  url = {http://tel.archives-ouvertes.fr/tel-00198144/}
}
Lecomte, V., Appert-Rolland, C. and van Wijland, F. Thermodynamic formalism for systems with Markov dynamics 2007 J. Stat. Phys.
Vol. 127(1), pp. 51-106 
article DOI  
Abstract: The thermodynamic formalism allows one to access the chaotic properties of
equilibrium and out-of-equilibrium systems, by deriving those from a
dynamical partition function. The definition that has been given for this
partition function within the framework of discrete time Markov chains was
not suitable for continuous time Markov dynamics. Here we propose another
interpretation of the definition that allows us to apply the thermodynamic
formalism to continuous time. We also generalize the formalism-a dynamical
Gibbs ensemble construction-to a whole family of observables and their
associated large deviation functions. This allows us to make the connection
between the thermodynamic formalism and the observable involved in the
much-studied fluctuation theorem. We illustrate our approach on various
physical systems: random walks, exclusion processes, an Ising model and the
contact process. In the latter cases, we identify a signature of the
occurrence of dynamical phase transitions. We show that this signature can
already be unraveled using the simplest dynamical ensemble one could define,
based on the number of configuration changes a system has undergone over an
asymptotically large time window.
BibTeX:
@article{Lecomte2007_vol127,
  author = {Lecomte, V. and Appert-Rolland, C. and van Wijland, F.},
  title = {Thermodynamic formalism for systems with Markov dynamics},
  journal = {J. Stat. Phys.},
  publisher = {Springer/plenum Publishers},
  year = {2007},
  volume = {127},
  number = {1},
  pages = {51--106},
  doi = {https://doi.org/10.1007/s10955-006-9254-0}
}
Lipowsky, R. and Liepelt, S. Chemomechanical Coupling of Molecular Motors: Thermodynamics, Network Representations, and Balance Conditions 2007 J. Stat. Phys.
Vol. 130(1), pp. 39-67 
article DOI URL 
Abstract: Molecular motors are considered that convert the chemical energy released
from the hydrolysis of adenosine triphosphate (ATP) into mechanical work.
Such a motor represents a small system that is coupled to a heat reservoir, a
work reservoir, and particle reservoirs for ATP, adenosine diphosphate (ADP),
and inorganic phosphate (P). The discrete state space of the motor is defined
in terms of the chemical composition of its catalytic domains. Each motor
state represents an ensemble of molecular conformations that are thermally
equilibrated. The motor states together with the possible transitions between
neighboring states define a network representation of the motor. The motor
dynamics is described by a continuous-time Markov process (or master
equation) on this network. The consistency between thermodynamics and network
dynamics implies (i)�local and nonlocal balance conditions for the
transition rates of the motor and (ii)�an underlying landscape of internal
energies for the motor states. The local balance conditions can be
interpreted in terms of constrained equilibria between neighboring motor
states; the nonlocal balance conditions pinpoint chemical and/or mechanical
nonequilibrium.
BibTeX:
@article{Lipowsky2007_vol130,
  author = {Lipowsky, Reinhard and Liepelt, Steffen},
  title = {Chemomechanical Coupling of Molecular Motors: Thermodynamics, Network Representations, and Balance Conditions},
  journal = {J. Stat. Phys.},
  year = {2007},
  volume = {130},
  number = {1},
  pages = {39--67},
  url = {http://dx.doi.org/10.1007/s10955-007-9425-7},
  doi = {https://doi.org/10.1007/s10955-007-9425-7}
}
Maes, C. and Netocný, K. Minimum entropy production principle from a dynamical fluctuation law 2007 J. Math. Phys
Vol. 48({5}) 
article DOI  
Abstract: The minimum entropy production principle provides an approximative
variational characterization of close-to-equilibrium stationary states, both
for macroscopic systems and for stochastic models. Analyzing the fluctuations
of the empirical distribution of occupation times for a class of Markov
processes, we identify the entropy production as the large deviation rate
function, up to leading order when expanding around a detailed balance
dynamics. In that way, the minimum entropy production principle is recognized
as a consequence of the structure of dynamical fluctuations, and its
approximate character gets an explanation. We also discuss the subtlety
emerging when applying the principle to systems whose degrees of freedom
change sign under kinematical time reversal. (c) 2007 American Institute of
Physics.
BibTeX:
@article{Maes2007_vol48,
  author = {Maes, Christian and Netocný, Karel},
  title = {Minimum entropy production principle from a dynamical fluctuation law},
  journal = {J. Math. Phys},
  year = {2007},
  volume = {48},
  number = {5},
  doi = {https://doi.org/10.1063/1.2738753}
}
Maes, C. and Netocný, K. Static and dynamical nonequilibrium fluctuations 2007 C. R. Phys.
Vol. 8(5-6), pp. 591-597 
article DOI URL 
BibTeX:
@article{Maes2007_vol8,
  author = {Maes, C. and Netocný, K.},
  title = {Static and dynamical nonequilibrium fluctuations},
  journal = {C. R. Phys.},
  year = {2007},
  volume = {8},
  number = {5-6},
  pages = {591--597},
  url = {http://www.sciencedirect.com/science/article/pii/S1631070507000849},
  doi = {https://doi.org/10.1016/j.crhy.2007.05.003}
}
Magdziarz, M., Weron, A. and Weron, K. Fractional Fokker-Planck dynamics: stochastic representation and computer simulation 2007 Phys. Rev. E
Vol. 75(1), pp. 016708 
article DOI  
BibTeX:
@article{Magdziarz2007_vol75,
  author = {Magdziarz, M. and Weron, A. and Weron, K.},
  title = {Fractional Fokker-Planck dynamics: stochastic representation and computer simulation},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2007},
  volume = {75},
  number = {1},
  pages = {016708},
  doi = {https://doi.org/10.1103/PhysRevE.75.016708}
}
Mai, T. and Dhar, A. Nonequilibrium work fluctuations for oscillators in non-Markovian baths 2007 Phys. Rev. E
Vol. 75(6), pp. 061101 
article DOI  
BibTeX:
@article{Trieu2007_vol75,
  author = {Mai, T. and Dhar, A.},
  title = {Nonequilibrium work fluctuations for oscillators in non-Markovian baths},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2007},
  volume = {75},
  number = {6},
  pages = {061101},
  doi = {https://doi.org/10.1103/PhysRevE.75.061101}
}
Mizuno, D., Tarding, C., Schmidt, C.F. and MacKintosh, F.C. Nonequilibrium mechanics of active cytoskeletal networks 2007 Science
Vol. 315, pp. 370 
article DOI  
BibTeX:
@article{Mizuno2007_vol315,
  author = {D. Mizuno and C. Tarding and C. F. Schmidt and F. C. MacKintosh},
  title = {Nonequilibrium mechanics of active cytoskeletal networks},
  journal = {Science},
  year = {2007},
  volume = {315},
  pages = {370},
  doi = {https://doi.org/10.1126/science.1134404}
}
Ohkuma, T. and Ohta, T. Fluctuation theorems for non-linear generalized Langevin systems 2007 J. Stat. Mech: Theory Exp.(P10010)  article URL 
Abstract: The fluctuation theorems obtained in a stochastic Markovian process are
generalized to a non-Markovian system governed by the non-linear generalized
Langevin equation with a Gaussian colored noise. We derive the non-Markovian
version of the Crooks fluctuation theorem that relates the statistical
averages of the two different dynamics characterized by the forward process
and the reverse process. In contrast to the similar study by Zamponi et al ,
ours does not assume a stationary state asymptotically in time so that the
present fluctuation theorem can deal explicitly with the dependence of the
initial condition and the transient behavior. The Jarzynski equality for the
non-equilibrium work relation and the representation of the linear response
in the non-equilibrium steady state are also discussed. The conditions for
the memory kernel that the fluctuation theorems hold are examined by
analyzing a solvable model and are confirmed by a direct derivation of the
fluctuation theorems for the cases of an exponential decay and a power law
decay of the memory kernel.
Comment: 5
BibTeX:
@article{Ohkuma2007_vol2007,
  author = {T. Ohkuma and T. Ohta},
  title = {Fluctuation theorems for non-linear generalized Langevin systems},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2007},
  number = {P10010},
  url = {http://stacks.iop.org/1742-5468/2007/i=10/a=P10010}
}
Rondoni, L. and Mejia-Monasterio, C. Fluctuations in nonequilibrium statistical mechanics: models, mathematical theory, physical mechanisms 2007 NONLINEARITY
Vol. {20}({10}), pp. {R1-R37} 
article DOI  
BibTeX:
@article{Rondoni2007_vol20,
  author = {Rondoni, L. and Mejia-Monasterio, C.},
  title = {Fluctuations in nonequilibrium statistical mechanics: models, mathematical theory, physical mechanisms},
  journal = {NONLINEARITY},
  year = {2007},
  volume = {20},
  number = {10},
  pages = {R1-R37},
  doi = {https://doi.org/10.1088/0951-7715/20/10/R01}
}
Schmiedl, T. and Seifert, U. Stochastic thermodynamics of chemical reaction networks 2007 J. Chem. Phys.
Vol. 126(4), pp. - 
article DOI URL 
Abstract: For chemical reactionnetworks in a dilute solution described by a master
equation, the authors define energy and entropy on a stochastic trajectory
and develop a consistent nonequilibrium thermodynamic description along a
single stochastic trajectory of reaction events. A first-law like energy
balance relates internal energy, applied (chemical) work, and dissipated heat
for every single reaction.Entropy production along a single trajectory
involves a sum over changes in the entropy of the network itself and the
entropy of the medium. The latter is given by the exchanged heat identified
through the first law. Total entropy production is constrained by an integral
fluctuation theorem for networks arbitrarily driven by time-dependent rates
and a detailed fluctuation theorem for networks in the steady state. Further
exact relations such as a generalized Jarzynski relation and a generalized
Clausius inequality are discussed. The authors illustrate these results for a
three-species cyclic reactionnetwork which exhibits nonequilibrium steady
states as well as transitions between different steady states.
BibTeX:
@article{Schmiedl2007_vol126,
  author = {Schmiedl, Tim and Seifert, Udo},
  title = {Stochastic thermodynamics of chemical reaction networks},
  journal = {J. Chem. Phys.},
  year = {2007},
  volume = {126},
  number = {4},
  pages = {-},
  url = {http://scitation.aip.org/content/aip/journal/jcp/126/4/10.1063/1.2428297},
  doi = {https://doi.org/10.1063/1.2428297}
}
Sharma, V. and Annila, A. Natural process -- Natural selection 2007 Biophys. Chem.
Vol. 127(1), pp. 123-128 
article DOI URL 
Abstract: Life is supported by a myriad of chemical reactions. To describe the overall
process we have formulated entropy for an open system undergoing chemical
reactions. The entropy formula allows us to recognize various ways for the
system to move towards more probable states. These correspond to the basic
processes of life i.e. proliferation, differentiation, expansion, energy
intake, adaptation and maturation. We propose that the rate of entropy
production by various mechanisms is the fitness criterion of natural
selection. The quest for more probable states results in organization of
matter in functional hierarchies.
BibTeX:
@article{Sharma2007_vol127,
  author = {Vivek Sharma and Arto Annila},
  title = {Natural process -- Natural selection},
  journal = {Biophys. Chem.},
  year = {2007},
  volume = {127},
  number = {1},
  pages = {123--128},
  url = {http://www.sciencedirect.com/science/article/pii/S0301462207000117},
  doi = {https://doi.org/10.1016/j.bpc.2007.01.005}
}
Sinitsyn, N.A. and Nemenman, I. The Berry phase and the pump flux in stochastic chemical kinetics 2007 Europhys. Lett.
Vol. 77(5), pp. 58001 
article URL 
Abstract: We study a classical two-state stochastic system in a sea of substrates and
products (absorbing states), which can be interpreted as a single
Michaelis-Menten catalyzing enzyme or as a channel on a cell surface. We
introduce a novel general method and use it to derive the expression for the
full counting statistics of transitions among the absorbing states. For the
evolution of the system under a periodic perturbation of the kinetic rates,
the latter contains a term with a purely geometrical (the Berry phase)
interpretation. This term gives rise to a pump current between the absorbing
states, which is due entirely to the stochastic nature of the system. We
calculate the first two cumulants of this current, and we argue that it is
observable experimentally.
BibTeX:
@article{Sinitsyn2007_vol77,
  author = {N. A. Sinitsyn and I. Nemenman},
  title = {The Berry phase and the pump flux in stochastic chemical kinetics},
  journal = {Europhys. Lett.},
  year = {2007},
  volume = {77},
  number = {5},
  pages = {58001},
  url = {http://stacks.iop.org/0295-5075/77/i=5/a=58001}
}
Speck, T. and Seifert, U. The Jarzynski relation, fluctuation theorems, and stochastic thermodynamics for non-Markovian processes 2007 J. Stat. Mech: Theory Exp.(09), pp. L09002  article URL 
Abstract: We prove the Jarzynski relation for general stochastic processes including
non-Markovian systems with memory. The only requirement for our proof is the
existence of a stationary state, therefore excluding non-ergodic systems. We
then show how the concepts of stochastic thermodynamics can be used to prove
further exact non-equilibrium relations like the Crooks relation and the
fluctuation theorem on entropy production for non-Markovian dynamics.
BibTeX:
@article{Speck2007_vol2007,
  author = {T Speck and U Seifert},
  title = {The Jarzynski relation, fluctuation theorems, and stochastic thermodynamics for non-Markovian processes},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2007},
  number = {09},
  pages = {L09002},
  url = {http://stacks.iop.org/1742-5468/2007/i=09/a=L09002}
}
Subrt, E. and Chvosta, P. Exact analysis of work fluctuations in two-level systems 2007 J. Stat. Mech: Theory Exp.(09), pp. P09019  article URL 
Abstract: This paper presents an exact probabilistic description of the work done by an
external agent on a two-level system. We first develop a general scheme which
is suitable for the treatment of functionals of the time-inhomogeneous Markov
processes. Subsequently, we apply the procedure to the analysis of the
isothermal-work probability density and we obtain its exact analytical forms
in two specific settings. In both models, the state energies change with a
constant velocity. On the other hand, the two models differ in their
interstate transition rates. The explicit forms of the probability density
allow a detailed discussion of the mean work. Moreover, we discuss the weight
of the trajectories which display a smaller value of work than the
corresponding equilibrium work. The results are controlled by a single
dimensionless parameter which expresses the ratio of two underlying
timescales: the velocity of the energy changes and the relaxation time in the
case of frozen energies. If this parameter is large, the process is a
strongly irreversible one and the work probability density differs
substantially from a Gaussian curve.
BibTeX:
@article{Subrt2007_vol2007,
  author = {Evzen Subrt and Petr Chvosta},
  title = {Exact analysis of work fluctuations in two-level systems},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2007},
  number = {09},
  pages = {P09019},
  url = {http://stacks.iop.org/1742-5468/2007/i=09/a=P09019}
}
Swan, J. and Brady, J. Simulation of hydrodynamically interacting particles near a no-slip boundary 2007 Phys. Fluids
Vol. 19(11), pp. 113306 
article DOI URL 
BibTeX:
@article{Swan2012_vol19,
  author = {Swan, J.W. and Brady, J.F.},
  title = {Simulation of hydrodynamically interacting particles near a no-slip boundary},
  journal = {Phys. Fluids},
  publisher = {AIP},
  year = {2007},
  volume = {19},
  number = {11},
  pages = {113306},
  url = {http://link.aip.org/link/?PHF/19/113306/1},
  doi = {https://doi.org/10.1063/1.2803837}
}
Tailleur, J. Grandes d�viations, physique statistique et syst�mes dynamiques 2007 School: Universit� Pierre et Marie Curie  phdthesis  
BibTeX:
@phdthesis{Tailleur2007_vol,
  author = {Tailleur, J.},
  title = {Grandes d�viations, physique statistique et syst�mes dynamiques},
  school = {Universit� Pierre et Marie Curie},
  year = {2007}
}
Van Kampen, N. Stochastic Processes in Physics and Chemistry 2007   book  
BibTeX:
@book{VanKampen2007_vol,
  author = {Van Kampen, N.G.},
  title = {Stochastic Processes in Physics and Chemistry},
  publisher = {North-Holland, Amsterdam},
  year = {2007},
  edition = {3rd}
}
Wang, H.Y. and Qian, H. On detailed balance and reversibility of semi-Markov processes and single-molecule enzyme kinetics 2007 J. Math. Phys.
Vol. 48(1), pp. 013303 
article DOI  
Abstract: Semi-Markov processes have found increasing applications in modeling the
kinetics of single enzyme molecules. Detailed balance is a widely accepted
condition for Markov models of closed chemical systems and well known to be
equivalent to the reversibility of a stationary Markov process. We show that
for a semi-Markov process detailed balance is only a necessary condition, but
not sufficient, for its time reversibility. The statistical independence
between the transition direction and the sojourn time is also necessary. We
show that the direction-time independence naturally arises from the exit
problem of Markov models for enzyme kinetics with detailed balance. Detailed
balance and the direction-time independence together are equivalent to the
time reversibility of a stationary semi-Markov process. Applications of the
present theory to single-molecule enzymology are also presented. (c) 2007
American Institute of Physics.
BibTeX:
@article{Wang2007_vol48,
  author = {Wang, H. Y. and Qian, H.},
  title = {On detailed balance and reversibility of semi-Markov processes and single-molecule enzyme kinetics},
  journal = {J. Math. Phys.},
  publisher = {Amer Inst Physics},
  year = {2007},
  volume = {48},
  number = {1},
  pages = {013303},
  doi = {https://doi.org/10.1063/1.2432065}
}
Zia, R.K.P. and Schmittmann, B. Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states 2007 J. Stat. Mech: Theory Exp.(P07012)  article URL 
Abstract: One of the key features of non-equilibrium steady states (NESS) is the
presence of non-trivial probability currents. We propose a general
classification of NESS in which these currents play a central distinguishing
role. As a corollary, we specify the transformations of the dynamic
transition rates which leave a given NESS invariant. The formalism is most
transparent within a continuous-time master equation framework since it
allows for a general graph-theoretical representation of the NESS. We discuss
the consequences of these transformations for entropy production, present
several simple examples, and explore some generalizations, to discrete time
and continuous variables.
BibTeX:
@article{Zia2007_vol,
  author = {R. K. P. Zia and B. Schmittmann},
  title = {Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2007},
  number = {P07012},
  url = {http://stacks.iop.org/1742-5468/2007/i=07/a=P07012}
}
Buchmüller, W. and Lüdeling, C. Field Theory and Standard Model 2006   article  
Abstract: This is a short introduction to the Standard Model and the underlying concepts of quantum field theory.
BibTeX:
@article{Buchmueller2006vol,
  author = {W. Buchmüller and C. Lüdeling},
  title = {Field Theory and Standard Model},
  year = {2006}
}
Barnett, A., Kirkpatrick, D. and Honsberg, C. Very high efficiency solar cells 2006 SPIE Proceedings  inproceedings DOI  
BibTeX:
@inproceedings{Barnett2006vol,
  author = {Allen Barnett and Douglas Kirkpatrick and Christiana Honsberg},
  title = {Very high efficiency solar cells},
  booktitle = {SPIE Proceedings},
  publisher = {SPIE},
  year = {2006},
  doi = {https://doi.org/10.1117/12.684418}
}
Cleuren, B., den Broeck, C.V. and Kawai, R. Fluctuation theorem for the effusion of an ideal gas 2006 Physical Review E
Vol. 74(2), pp. 021117 
article DOI  
BibTeX:
@article{Cleuren2006vol74,
  author = {B. Cleuren and C. Van den Broeck and R. Kawai},
  title = {Fluctuation theorem for the effusion of an ideal gas},
  journal = {Physical Review E},
  publisher = {American Physical Society (APS)},
  year = {2006},
  volume = {74},
  number = {2},
  pages = {021117},
  doi = {https://doi.org/10.1103/physreve.74.021117}
}
Deutsch, J.M. and Narayan, O. Energy dissipation and fluctuation response for particles in fluids 2006 Phys. Rev. E
Vol. 74, pp. 026112 
article DOI URL 
BibTeX:
@article{Deutsch2006_vol74,
  author = {Deutsch, J. M. and Narayan, Onuttom},
  title = {Energy dissipation and fluctuation response for particles in fluids},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2006},
  volume = {74},
  pages = {026112},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.74.026112},
  doi = {https://doi.org/10.1103/PhysRevE.74.026112}
}
Imparato, A. and Peliti, L. Fluctuation relations for a driven Brownian particle 2006 Phys. Rev. E
Vol. 74, pp. 026106 
article DOI URL 
BibTeX:
@article{Imparato2006_vol74,
  author = {Imparato, A. and Peliti, L.},
  title = {Fluctuation relations for a driven Brownian particle},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2006},
  volume = {74},
  pages = {026106},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.74.026106},
  doi = {https://doi.org/10.1103/PhysRevE.74.026106}
}
Ngoc, P.H.A. A Perron–Frobenius theorem for a class of positive quasi-polynomial matrices 2006 Applied Mathematics Letters
Vol. 19(8), pp. 747-751 
review DOI  
BibTeX:
@review{Ngoc2006vol19,
  author = {Pham Huu Anh Ngoc},
  title = {A Perron–Frobenius theorem for a class of positive quasi-polynomial matrices},
  journal = {Applied Mathematics Letters},
  publisher = {Elsevier BV},
  year = {2006},
  volume = {19},
  number = {8},
  pages = {747--751},
  doi = {https://doi.org/10.1016/j.aml.2005.10.005}
}
Andrieux, D. and Gaspard, P. Fluctuation theorems and the nonequilibrium thermodynamics of molecular motors 2006 Phys. Rev. E
Vol. 74, pp. 011906 
article DOI URL 
BibTeX:
@article{Andrieux2006_vol74,
  author = {Andrieux, David and Gaspard, Pierre},
  title = {Fluctuation theorems and the nonequilibrium thermodynamics of molecular motors},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2006},
  volume = {74},
  pages = {011906},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.74.011906},
  doi = {https://doi.org/10.1103/PhysRevE.74.011906}
}
Sanchez-Monroy, J.A. and Quimbay, C.J. SU(3) Maxwell equations and the classical chromodynamics 2006   article  
Abstract: We study the equations of motion of the SU(3) Yang-Mills theory. Since the gluons, at scales of the order of 1 fm, can be considered as classical fields, we suppose that the gauge fields (A_mu^a) of this theory are the gluonic fields and then it is possible to consider the Quantum Chromodynamics in a classical regime. For the case in which the condition [A_, A_]=0 is satisfied, we show that the abelian equations of motion of the Classical Chromodynamics (CCD) have the same form as those of the classical electrodynamics without sources. Additionally, we obtain the non-abelian Maxwell equations for the CCD with sources. We observe that there exist electric and magnetic colour fields whose origin is not fermionic. We show as the gluons can be assumed as the sources of the electric and magnetic colour fields. We note that the gluons are the only responsible for the existence of a magnetic colour monopole in the CCD.
BibTeX:
@article{SanchezMonroy2006vol,
  author = {J. A. Sanchez-Monroy and C. J. Quimbay},
  title = {SU(3) Maxwell equations and the classical chromodynamics},
  year = {2006}
}
Chertkov, M. and Chernyak, V.Y. Loop calculus in statistical physics and information science 2006 Phys. Rev. E
Vol. 73, pp. 065102 
article DOI URL 
BibTeX:
@article{Chertkov2006_vol73,
  author = {Chertkov, Michael and Chernyak, Vladimir Y.},
  title = {Loop calculus in statistical physics and information science},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2006},
  volume = {73},
  pages = {065102},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.73.065102},
  doi = {https://doi.org/10.1103/PhysRevE.73.065102}
}
Sadykov, N.R. Maxwell's equations in the Majorana representation in chiral and gyrotropic media 2006 Optics and Spectroscopy
Vol. 100(6), pp. 906-909 
article DOI  
BibTeX:
@article{Sadykov2006vol100,
  author = {Sadykov, N. R.},
  title = {Maxwell's equations in the Majorana representation in chiral and gyrotropic media},
  journal = {Optics and Spectroscopy},
  publisher = {Pleiades Publishing Ltd},
  year = {2006},
  volume = {100},
  number = {6},
  pages = {906--909},
  doi = {https://doi.org/10.1134/s0030400x06060154}
}
Van den Broeck, C. and Kawai, R. Brownian Refrigerator 2006 Phys. Rev. Lett.
Vol. 96, pp. 210601 
article DOI URL 
BibTeX:
@article{VandenBroeck2006_vol96,
  author = {Van den Broeck, C. and Kawai, R.},
  title = {Brownian Refrigerator},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2006},
  volume = {96},
  pages = {210601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.96.210601},
  doi = {https://doi.org/10.1103/PhysRevLett.96.210601}
}
Gogolin, A.O. and Komnik, A. Towards full counting statistics for the Anderson impurity model 2006 Phys. Rev. B
Vol. 73, pp. 195301 
article DOI URL 
BibTeX:
@article{Gogolin2006_vol73,
  author = {Gogolin, A. O. and Komnik, A.},
  title = {Towards full counting statistics for the Anderson impurity model},
  journal = {Phys. Rev. B},
  publisher = {American Physical Society},
  year = {2006},
  volume = {73},
  pages = {195301},
  url = {http://link.aps.org/doi/10.1103/PhysRevB.73.195301},
  doi = {https://doi.org/10.1103/PhysRevB.73.195301}
}
Jarzynski, C. Rare events and the convergence of exponentially averaged work values 2006 Phys. Rev. E
Vol. 73, pp. 046105 
article DOI URL 
BibTeX:
@article{Jarzynski2006_vol73,
  author = {Jarzynski, Christopher},
  title = {Rare events and the convergence of exponentially averaged work values},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2006},
  volume = {73},
  pages = {046105},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.73.046105},
  doi = {https://doi.org/10.1103/PhysRevE.73.046105}
}
Wood, K., Van den Broeck, C., Kawai, R. and Lindenberg, K. Universality of Synchrony: Critical Behavior in a Discrete Model of Stochastic Phase-Coupled Oscillators 2006 Phys. Rev. Lett.
Vol. 96, pp. 145701 
article DOI URL 
BibTeX:
@article{Wood2006_vol96,
  author = {Wood, K. and Van den Broeck, C. and Kawai, R. and Lindenberg, K.},
  title = {Universality of Synchrony: Critical Behavior in a Discrete Model of Stochastic Phase-Coupled Oscillators},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2006},
  volume = {96},
  pages = {145701},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.96.145701},
  doi = {https://doi.org/10.1103/PhysRevLett.96.145701}
}
Bertin, E., Dauchot, O. and Droz, M. Definition and Relevance of Nonequilibrium Intensive Thermodynamic Parameters 2006 Phys. Rev. Lett.
Vol. 96, pp. 120601 
article DOI URL 
BibTeX:
@article{Bertin2006_vol96,
  author = {Bertin, Eric and Dauchot, Olivier and Droz, Michel},
  title = {Definition and Relevance of Nonequilibrium Intensive Thermodynamic Parameters},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2006},
  volume = {96},
  pages = {120601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.96.120601},
  doi = {https://doi.org/10.1103/PhysRevLett.96.120601}
}
Giardinà, C., Kurchan, J. and Peliti, L. Direct Evaluation of Large-Deviation Functions 2006 Phys. Rev. Lett.
Vol. 96, pp. 120603 
article DOI  
Abstract: We introduce a numerical procedure to evaluate directly the probabilities of
large deviations of physical quantities, such as current or density, that are
local in time. The large-deviation functions are given in terms of the
typical properties of a modified dynamics, and since they no longer involve
rare events, can be evaluated efficiently and over a wider ranges of values.
We illustrate the method with the current fluctuations of the Totally
Asymmetric Exclusion Process and with the work distribution of a driven
Lorentz gas.
BibTeX:
@article{Giardina2006_vol96,
  author = {Giardinà, C. and Kurchan, J. and Peliti, L.},
  title = {Direct Evaluation of Large-Deviation Functions},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2006},
  volume = {96},
  pages = {120603},
  doi = {https://doi.org/10.1103/PhysRevLett.96.120603}
}
Cleuren, B., Van den Broeck, C. and Kawai, R. Fluctuation and Dissipation of Work in a Joule Experiment 2006 Phys. Rev. Lett.
Vol. 96, pp. 050601 
article DOI URL 
BibTeX:
@article{Cleuren2006_vol96,
  author = {Cleuren, B. and Van den Broeck, C. and Kawai, R.},
  title = {Fluctuation and Dissipation of Work in a Joule Experiment},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2006},
  volume = {96},
  pages = {050601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.96.050601},
  doi = {https://doi.org/10.1103/PhysRevLett.96.050601}
}
Harada, T. and Sasa, S.-i. Energy dissipation and violation of the fluctuation-response relation in nonequilibrium Langevin systems 2006 Phys. Rev. E
Vol. 73, pp. 026131 
article DOI URL 
BibTeX:
@article{Harada2006_vol73,
  author = {Harada, T. and Sasa, S.-i.},
  title = {Energy dissipation and violation of the fluctuation-response relation in nonequilibrium Langevin systems},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2006},
  volume = {73},
  pages = {026131},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.73.026131},
  doi = {https://doi.org/10.1103/PhysRevE.73.026131}
}
Abhishek, D. and Dibyendu, R. Heat Transport in Harmonic Lattices 2006 J. Stat. Phys.
Vol. 125 
article DOI  
BibTeX:
@article{Dhar2006_vol125,
  author = {D. Abhishek and R. Dibyendu},
  title = {Heat Transport in Harmonic Lattices},
  journal = {J. Stat. Phys.},
  year = {2006},
  volume = {125},
  doi = {https://doi.org/10.1007/s10955-006-9235-3}
}
Baiesi, M., Jacobs, T., Maes, C. and Skantzos, N.S. Fluctuation symmetries for work and heat 2006 Phys. Rev. E
Vol. 74, pp. 021111 
article DOI URL 
BibTeX:
@article{Baiesi2006_vol74,
  author = {Baiesi, M. and Jacobs, T. and Maes, C. and Skantzos, N. S.},
  title = {Fluctuation symmetries for work and heat},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2006},
  volume = {74},
  pages = {021111},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.74.021111},
  doi = {https://doi.org/10.1103/PhysRevE.74.021111}
}
Bejan, A. Advanced Engineering Thermodynamics 2006   book URL 
BibTeX:
@book{Book_Bejan2006,
  author = {Bejan, A.},
  title = {Advanced Engineering Thermodynamics},
  publisher = {Wiley, Hoboken, NJ},
  year = {2006},
  url = {http://books.google.nl/books?id=LWyqQgAACAAJ}
}
Bertini, L., Sole, A.D., Gabrielli, D., Jona-Lasinio, G. and Landim, C. Non Equilibrium Current Fluctuations in Stochastic Lattice Gases 2006 J. Stat. Phys.
Vol. 123(2), pp. 237-276 
article DOI URL 
Abstract: We study current fluctuations in lattice gases in the macroscopic limit
extending the dynamic approach for density fluctuations developed in previous
articles. More precisely, we establish a large deviation principle for a
space-time fluctuation j of the empirical current with a rate functional
I(j). We then estimate the probability of a fluctuation of the average
current over a large time interval; this probability can be obtained by
solving a variational problem for the functional I. We discuss several
possible scenarios, interpreted as dynamical phase transitions, for this
variational problem. They actually occur in specific models. We finally
discuss the time reversal properties of I and derive a fluctuation
relationship akin to the Gallavotti-Cohen theorem for the entropy production.
BibTeX:
@article{Bertini2006_vol123,
  author = {Bertini, L. and Sole, A. De and Gabrielli, D. and Jona-Lasinio, G. and Landim, C.},
  title = {Non Equilibrium Current Fluctuations in Stochastic Lattice Gases},
  journal = {J. Stat. Phys.},
  year = {2006},
  volume = {123},
  number = {2},
  pages = {237--276},
  url = {http://dx.doi.org/10.1007/s10955-006-9056-4},
  doi = {https://doi.org/10.1007/s10955-006-9056-4}
}
Blickle, V., Speck, T., Helden, L., Seifert, U. and Bechinger, C. Thermodynamics of a Colloidal Particle in a Time-Dependent Nonharmonic Potential 2006 Phys. Rev. Lett.
Vol. 96(7), pp. 070603 
article DOI  
BibTeX:
@article{Blickle2006_vol96,
  author = {V. Blickle and T. Speck and L. Helden and U. Seifert and C. Bechinger},
  title = {Thermodynamics of a Colloidal Particle in a Time-Dependent Nonharmonic Potential},
  journal = {Phys. Rev. Lett.},
  publisher = {APS},
  year = {2006},
  volume = {96},
  number = {7},
  pages = {070603},
  doi = {https://doi.org/10.1103/PhysRevLett.96.070603}
}
Caillol, J.-M. Non-perturbative renormalization group for simple fluids 2006 Molecular Physics: An International Journal at the Interface Between Chemistry and Physics
Vol. 104(12), pp. 1931-1950 
article DOI  
BibTeX:
@article{Caillol2006_vol104,
  author = {Caillol, J.-M.},
  title = {Non-perturbative renormalization group for simple fluids},
  journal = {Molecular Physics: An International Journal at the Interface Between Chemistry and Physics},
  year = {2006},
  volume = {104},
  number = {12},
  pages = {1931--1950},
  doi = {https://doi.org/10.1080/00268970600740774}
}
Chernyak, V.Y., Chertkov, M. and Jarzynski, C. Path-integral analysis of fluctuation theorems for general Langevin processes 2006 J. Stat. Mech: Theory Exp., pp. P08001  article URL 
Abstract: We examine classical, transient fluctuation theorems within the unifying
framework of Langevin dynamics. We explicitly distinguish between the effects
of non-conservative forces that violate detailed balance, and nonautonomous
dynamics arising from the variation of an external parameter. When both these
sources of nonequilibrium behaviour are present, there naturally arise two
distinct fluctuation theorems.
BibTeX:
@article{Chernyak2006_vola,
  author = {Chernyak, V. Y. and Chertkov, M. and Jarzynski, C.},
  title = {Path-integral analysis of fluctuation theorems for general Langevin processes},
  journal = {J. Stat. Mech: Theory Exp.},
  publisher = {Iop Publishing Ltd},
  year = {2006},
  pages = {P08001},
  url = {http://iopscience.iop.org/1742-5468/2006/08/P08001}
}
Eide, J.L., Chakraborty, A.K. and Oster, G.F. Simple Models for Extracting Mechanical Work from the ATP Hydrolysis Cycle 2006 Biophysical Journal
Vol. 90(12), pp. 4281-4294 
article DOI URL 
Abstract: According to the binding-zipper model, the RecA class of ATPase motors
converts chemical energy into mechanical force by the progressive annealing
of hydrogen bonds between the nucleotide and the catalytic pocket. The role
of hydrolysis is to weaken the binding of products, allowing them to be
released so that the cycle can repeat. Molecular dynamics can be used to
study the unbinding process, but the binding process is more complex, so that
inferences about it are made indirectly from structural, mutation, and
biochemical studies. Here we present a series of models of varying complexity
that illustrate the basic processes involved in force production during ATP
binding. These models reveal the role of solvent and geometry in determining
the amount of mechanical work that can be extracted from the binding process.
BibTeX:
@article{Eide2006vol90,
  author = {Jonathan L. Eide and Arup K. Chakraborty and George F. Oster},
  title = {Simple Models for Extracting Mechanical Work from the ATP Hydrolysis Cycle},
  journal = {Biophysical Journal},
  year = {2006},
  volume = {90},
  number = {12},
  pages = {4281--4294},
  url = {http://www.sciencedirect.com/science/article/pii/S0006349506726078},
  doi = {https://doi.org/10.1529/biophysj.105.073320}
}
Fox, M. Quantum Optics, an introduction 2006   book  
BibTeX:
@book{Book_Fox2006,
  author = {M. Fox},
  title = {Quantum Optics, an introduction},
  publisher = {Oxford University Press},
  year = {2006}
}
Harbola, U. and Mukamel, S. Nonequilibrium superoperator GW equations 2006 J. Chem. Phys.
Vol. 124(4) 
article DOI URL 
BibTeX:
@article{Harbola2006_vol124,
  author = {Harbola, Upendra and Mukamel, Shaul},
  title = {Nonequilibrium superoperator GW equations},
  journal = {J. Chem. Phys.},
  year = {2006},
  volume = {124},
  number = {4},
  url = {http://scitation.aip.org/content/aip/journal/jcp/124/4/10.1063/1.2161177},
  doi = {https://doi.org/10.1063/1.2161177}
}
Hayashi, K. and Sasa, S.-i. Linear response theory in stochastic many-body systems revisited 2006 Phys. A
Vol. 370, pp. 407-429 
article DOI  
BibTeX:
@article{Hayashi2006_vol370,
  author = {Hayashi, K. and S.-i. Sasa},
  title = {Linear response theory in stochastic many-body systems revisited},
  journal = {Phys. A},
  year = {2006},
  volume = {370},
  pages = {407--429},
  doi = {https://doi.org/10.1016/j.physa.2006.03.007}
}
Lan, Y., Wolynes, P.G. and Papoian, G.A. A variational approach to the stochastic aspects of cellular signal transduction 2006 J. Chem. Phys.
Vol. 125(12), pp. 124106 
article DOI  
BibTeX:
@article{Lan2006TJocp125,
  author = {Lan, Yueheng and Wolynes, Peter G and Papoian, Garegin A},
  title = {A variational approach to the stochastic aspects of cellular signal transduction},
  journal = {J. Chem. Phys.},
  publisher = {AIP},
  year = {2006},
  volume = {125},
  number = {12},
  pages = {124106},
  doi = {https://doi.org/10.1063/1.2353835}
}
Maes, C. and van Wieren, M.H. Time-Symmetric Fluctuations in Nonequilibrium Systems 2006 Phys. Rev. Lett.
Vol. 96(24), pp. 240601 
article DOI  
BibTeX:
@article{Maes2006_vol96,
  author = {Maes, C. and van Wieren, M. H.},
  title = {Time-Symmetric Fluctuations in Nonequilibrium Systems},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2006},
  volume = {96},
  number = {24},
  pages = {240601},
  doi = {https://doi.org/10.1103/PhysRevLett.96.240601}
}
Martyushev, L. and Seleznev, V. Maximum entropy production principle in physics, chemistry and biology 2006 Phys. Rep.
Vol. 426(1), pp. 1-45 
article DOI URL 
BibTeX:
@article{Martyushev2006_vol426,
  author = {L.M. Martyushev and V.D. Seleznev},
  title = {Maximum entropy production principle in physics, chemistry and biology},
  journal = {Phys. Rep.},
  year = {2006},
  volume = {426},
  number = {1},
  pages = {1--45},
  url = {http://www.sciencedirect.com/science/article/pii/S0370157305004813},
  doi = {https://doi.org/10.1016/j.physrep.2005.12.001}
}
Qian, H. and Wang, H. Continuous time random walks in closed and open single-molecule systems with microscopic reversibility 2006 Europhys. Lett.
Vol. 76(1), pp. 15 
article URL 
Abstract: Continuous time random walk (CTRW) is studied with a new dynamic equation
based on the age-structure of states. For a CTRW in a closed molecular
system, two necessary conditions for microscopic reversibility are
introduced: 1) independence of transition direction and waiting time for
every state and 2) detailed balance among the transition probabilities.
Together they are also sufficient condition. For a CTRW in an open system
with explicit chemical energy input 1) still holds while 2) breaks down.
Hence, CTRW models not satisfying 1) are either inconsistent with
thermodynamics or cannot attain equilibrium due to hidden dissipation in
non-Markovian states. Each CTRW defines a unique corresponding Markov process
(cMP). The steady-state distribution of a CTRW equals that of the
corresponding Markov process, and the two systems have the same steady-state
flux, the same exit probabilities and the same mean trapping times.
Mechanicity is discussed; a paradox observed by Kolomeisky and Fisher ( J.
Chem. Phys. , 113 (2000) 10867) is resolved.
BibTeX:
@article{Qian2006_vol76,
  author = {H. Qian and H. Wang},
  title = {Continuous time random walks in closed and open single-molecule systems with microscopic reversibility},
  journal = {Europhys. Lett.},
  year = {2006},
  volume = {76},
  number = {1},
  pages = {15},
  url = {http://stacks.iop.org/0295-5075/76/i=1/a=015}
}
Rákos, A. and Paessens, M. Ergodicity breaking in one-dimensional reaction-“diffusion systems 2006 Journal of Physics A: Mathematical and General
Vol. 39(13), pp. 3231 
article URL 
Abstract: We investigate one-dimensional driven diffusive systems where particles may
also be created and annihilated in the bulk with sufficiently small rate. In
an open geometry, i.e., coupled to particle reservoirs at the two ends, these
systems can exhibit ergodicity breaking in the thermodynamic limit. The
triggering mechanism is the random motion of a shock in an effective
potential. Based on this physical picture we provide a simple condition for
the existence of a non-ergodic phase in the phase diagram of such systems. In
the thermodynamic limit this phase exhibits two or more stationary states.
However, for finite systems transitions between these states are possible. It
is shown that the mean lifetime of such a metastable state is exponentially
large in the system size. As an example the ASEP with the A ∅ A IMG
[http://ej.iop.org/icons/Entities/rlhar2.gif] rlhar2 AAA reaction kinetics
is analysed in detail. We present a detailed discussion of the phase diagram
of this particular model which indeed exhibits a phase with broken
ergodicity. We measure the lifetime of the metastable states with a Monte
Carlo simulation in order to confirm our analytical findings.
BibTeX:
@article{Rakos2006_vol39,
  author = {A Rákos and M Paessens},
  title = {Ergodicity breaking in one-dimensional reaction-“diffusion systems},
  journal = {Journal of Physics A: Mathematical and General},
  year = {2006},
  volume = {39},
  number = {13},
  pages = {3231},
  url = {http://stacks.iop.org/0305-4470/39/i=13/a=004}
}
Riley, K.F., Hobson, M.P. and Bence, S.J. Mathematical methods for physics and engineering, 3rd edition 2006   book  
BibTeX:
@book{Riley2006_vol,
  author = {Riley, K. F.; Hobson, M. P.; Bence, S. J.},
  title = {Mathematical methods for physics and engineering, 3rd edition},
  publisher = {Cambridge University Press},
  year = {2006}
}
Roeb, M., Monnerie, N., Schmitz, M., Sattler, C., Konstandopoulos, A., Agrafiotis, C., Zaspalis, V., Nalbandian, L., Steele, A. and Stobbe, P. Thermo-chemical production of hydrogen from water by metal oxides fixed on ceramic substrates 2006
Vol. 13Proceedings of the 16th World Hydrogen Energy Conference, Lyon, France, pp. 16 
inproceedings  
BibTeX:
@inproceedings{Roeb2006vol13,
  author = {Roeb, Martin and Monnerie, N and Schmitz, M and Sattler, C and Konstandopoulos, AG and Agrafiotis, C and Zaspalis, VT and Nalbandian, L and Steele, A and Stobbe, P},
  title = {Thermo-chemical production of hydrogen from water by metal oxides fixed on ceramic substrates},
  booktitle = {Proceedings of the 16th World Hydrogen Energy Conference, Lyon, France},
  year = {2006},
  volume = {13},
  pages = {16}
}
Sasa, S. and Tasaki, H. Steady state thermodynamics 2006 J. Stat. Phys.
Vol. 125, pp. 125 
article DOI  
BibTeX:
@article{Sasa2006_vol125,
  author = {S. Sasa and H. Tasaki},
  title = {Steady state thermodynamics},
  journal = {J. Stat. Phys.},
  year = {2006},
  volume = {125},
  pages = {125},
  doi = {https://doi.org/10.1007/s10955-005-9021-7}
}
Sivia, D.S. and Skilling, J. Data Analysis: A Bayesian Tutorial 2006   book  
BibTeX:
@book{Book_Sivia2006,
  author = {Sivia, D. S. and Skilling, J.},
  title = {Data Analysis: A Bayesian Tutorial},
  publisher = {Oxford University Press, USA},
  year = {2006},
  edition = {2}
}
Sornette, D. Critical Phenomena in Natural Sciences 2006   book  
BibTeX:
@book{Book_Sornette2006,
  author = {Didier Sornette},
  title = {Critical Phenomena in Natural Sciences},
  publisher = {Springer Series in Synergetics},
  year = {2006}
}
Speck, T. and Seifert, U. Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state 2006 Europhys. Lett.
Vol. 74, pp. 391 
article DOI  
BibTeX:
@article{Speck2006_vol74,
  author = {T. Speck and U. Seifert},
  title = {Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state},
  journal = {Europhys. Lett.},
  year = {2006},
  volume = {74},
  pages = {391},
  doi = {https://doi.org/10.1209/epl/i2005-10549-4}
}
Tietz, C., Schuler, S., Speck, T., Seifert, U. and Wrachtrup, J. Measurement of stochastic entropy production 2006 Phys. Rev. Lett.
Vol. {97} 
article DOI  
Abstract: Using fluorescence spectroscopy we directly measure entropy production of a
single two-level system realized experimentally as an optically driven defect
center in diamond. We exploit a recent suggestion to define entropy on the
level of a single stochastic trajectory [Seifert, Phys. Rev. Lett. 95,
040602 (2005)]. Entropy production can then be split into one of the system
itself and one of the surrounding medium. We demonstrate that the total
entropy production obeys various exact relations for finite time
trajectories.
BibTeX:
@article{Tietz2006_vol97,
  author = {Tietz, C. and Schuler, S. and Speck, T. and Seifert, U. and Wrachtrup, J.},
  title = {Measurement of stochastic entropy production},
  journal = {Phys. Rev. Lett.},
  publisher = {AMERICAN PHYSICAL SOC},
  year = {2006},
  volume = {97},
  doi = {https://doi.org/10.1103/PhysRevLett.97.050602}
}
Visco, P. Work fluctuations for a Brownian particle between two thermostats 2006 J. Stat. Mech: Theory Exp.(P06006)  article DOI  
Abstract: We explicitly determine the large deviation function of the energy flow of a
Brownian particle coupled to two heat baths at different temperatures. This
toy model, initially introduced by Derrida and Brunet (2005, Einstein
aujourd'hui (Les Ulis: EDP Sciences)), not only allows us to sort out the
influence of initial conditions on large deviation functions but also allows
us to pinpoint various restrictions bearing upon the range of validity of the
Fluctuation Relation.
BibTeX:
@article{Visco2006_vol,
  author = {Visco, P.},
  title = {Work fluctuations for a Brownian particle between two thermostats},
  journal = {J. Stat. Mech: Theory Exp.},
  publisher = {Iop Publishing Ltd},
  year = {2006},
  number = {P06006},
  doi = {https://doi.org/10.1088/1742-5468/2006/06/P06006}
}
Visco, P., Puglisi, A., Barrat, A., Trizac, E. and Wijland, F. Fluctuations of Power Injection in Randomly Driven Granular Gases 2006 J. Stat. Phys.
Vol. 125(3), pp. 533-568 
article DOI URL 
BibTeX:
@article{Visco2006_vol125,
  author = {Visco, P. and Puglisi, A. and Barrat, A. and Trizac, E. and Wijland, F.},
  title = {Fluctuations of Power Injection in Randomly Driven Granular Gases},
  journal = {J. Stat. Phys.},
  publisher = {Kluwer Academic Publishers-Plenum Publishers},
  year = {2006},
  volume = {125},
  number = {3},
  pages = {533--568},
  url = {http://dx.doi.org/10.1007/s10955-006-9161-4},
  doi = {https://doi.org/10.1007/s10955-006-9161-4}
}
Bodineau, T. and Derrida, B. Distribution of current in nonequilibrium diffusive systems and phase transitions 2005 Phys. Rev. E
Vol. 72, pp. 066110 
article DOI URL 
BibTeX:
@article{Bodineau2005_vol72,
  author = {Thierry Bodineau and Bernard Derrida},
  title = {Distribution of current in nonequilibrium diffusive systems and phase transitions},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2005},
  volume = {72},
  pages = {066110},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.72.066110},
  doi = {https://doi.org/10.1103/PhysRevE.72.066110}
}
Marathe, R. and Dhar, A. Work distribution functions for hysteresis loops in a single-spin system 2005 Phys. Rev. E
Vol. 72, pp. 066112 
article DOI URL 
BibTeX:
@article{Marathe2005_vol72,
  author = {Marathe, Rahul and Dhar, Abhishek},
  title = {Work distribution functions for hysteresis loops in a single-spin system},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2005},
  volume = {72},
  pages = {066112},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.72.066112},
  doi = {https://doi.org/10.1103/PhysRevE.72.066112}
}
Mukamel, D., Ruffo, S. and Schreiber, N. Breaking of Ergodicity and Long Relaxation Times in Systems with Long-Range Interactions 2005 Phys. Rev. Lett.
Vol. 95, pp. 240604 
article DOI URL 
BibTeX:
@article{Mukamel2005_vol95,
  author = {Mukamel, D. and Ruffo, S. and Schreiber, N.},
  title = {Breaking of Ergodicity and Long Relaxation Times in Systems with Long-Range Interactions},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2005},
  volume = {95},
  pages = {240604},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.95.240604},
  doi = {https://doi.org/10.1103/PhysRevLett.95.240604}
}
Van den Broeck, C. Thermodynamic Efficiency at Maximum Power 2005 Phys. Rev. Lett.
Vol. 95, pp. 190602 
article DOI URL 
BibTeX:
@article{VandenBroeck2005_vol95,
  author = {Van den Broeck, C.},
  title = {Thermodynamic Efficiency at Maximum Power},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2005},
  volume = {95},
  pages = {190602},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.95.190602},
  doi = {https://doi.org/10.1103/PhysRevLett.95.190602}
}
Kryvohuz, M. and Cao, J. Quantum-Classical Correspondence in Response Theory 2005 Phys. Rev. Lett.
Vol. 95, pp. 180405 
article  
BibTeX:
@article{Kryvohuz2005_vol95,
  author = {Kryvohuz, Maksym and Cao, Jianshu},
  title = {Quantum-Classical Correspondence in Response Theory},
  journal = {Phys. Rev. Lett.},
  year = {2005},
  volume = {95},
  pages = {180405}
}
Bauer, M. and Orland, H. Checking for Optimal Solutions in Some NP-Complete Problems 2005 Phys. Rev. Lett.
Vol. 95, pp. 107202 
article DOI URL 
BibTeX:
@article{Bauer2005_vol95,
  author = {Bauer, Michel and Orland, Henri},
  title = {Checking for Optimal Solutions in Some NP-Complete Problems},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2005},
  volume = {95},
  pages = {107202},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.95.107202},
  doi = {https://doi.org/10.1103/PhysRevLett.95.107202}
}
Koenig, A., Hébraud, P., Gosse, C., Dreyfus, R., Baudry, J., Bertrand, E. and Bibette, J. Magnetic Force Probe for Nanoscale Biomolecules 2005 Phys. Rev. Lett.
Vol. 95, pp. 128301 
article DOI URL 
BibTeX:
@article{Koenig2005_vol95,
  author = {Koenig, A. and Hébraud, P. and Gosse, C. and Dreyfus, R. and Baudry, J. and Bertrand, E. and Bibette, J.},
  title = {Magnetic Force Probe for Nanoscale Biomolecules},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2005},
  volume = {95},
  pages = {128301},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.95.128301},
  doi = {https://doi.org/10.1103/PhysRevLett.95.128301}
}
Merolle, M., Garrahan, J.P. and Chandler, D. Space-time thermodynamics of the glass transition 2005 Proceedings of the National Academy of Sciences
Vol. 102(31), pp. 10837-10840 
article DOI  
BibTeX:
@article{Merolle2005vol102,
  author = {M. Merolle and J. P. Garrahan and D. Chandler},
  title = {Space-time thermodynamics of the glass transition},
  journal = {Proceedings of the National Academy of Sciences},
  publisher = {Proceedings of the National Academy of Sciences},
  year = {2005},
  volume = {102},
  number = {31},
  pages = {10837--10840},
  doi = {https://doi.org/10.1073/pnas.0504820102}
}
Shang, X.-D., Tong, P. and Xia, K.-Q. Test of steady-state fluctuation theorem in turbulent Rayleigh-B�nard convection 2005 Phys. Rev. E
Vol. 72, pp. 015301 
article DOI URL 
BibTeX:
@article{Shang2005_vol72,
  author = {Shang, X.-D. and Tong, P. and Xia, K.-Q.},
  title = {Test of steady-state fluctuation theorem in turbulent Rayleigh-B�nard convection},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2005},
  volume = {72},
  pages = {015301},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.72.015301},
  doi = {https://doi.org/10.1103/PhysRevE.72.015301}
}
Dian-Fu, W. and He-Shan, S. A Generalized Yang–Mills Model and Dynamical Breaking of Gauge Symmetry 2005 Communications in Theoretical Physics
Vol. 43(6), pp. 1083-1086 
article DOI  
BibTeX:
@article{DianFu2005vol43,
  author = {Wang Dian-Fu and Song He-Shan},
  title = {A Generalized Yang–Mills Model and Dynamical Breaking of Gauge Symmetry},
  journal = {Communications in Theoretical Physics},
  publisher = {IOP Publishing},
  year = {2005},
  volume = {43},
  number = {6},
  pages = {1083--1086},
  doi = {https://doi.org/10.1088/0253-6102/43/6/025}
}
Francis, M.R. and Kosowsky, A. The construction of spinors in geometric algebra 2005 Annals of Physics
Vol. 317(2), pp. 383-409 
article DOI  
BibTeX:
@article{Francis2005vol317,
  author = {Matthew R. Francis and Arthur Kosowsky},
  title = {The construction of spinors in geometric algebra},
  journal = {Annals of Physics},
  publisher = {Elsevier BV},
  year = {2005},
  volume = {317},
  number = {2},
  pages = {383--409},
  doi = {https://doi.org/10.1016/j.aop.2004.11.008}
}
Lecomte, V., Appert-Rolland, C. and van Wijland, F. Chaotic Properties of Systems with Markov Dynamics 2005 Phys. Rev. Lett.
Vol. 95, pp. 010601 
article DOI URL 
BibTeX:
@article{Lecomte2005_vol95,
  author = {Lecomte, V. and Appert-Rolland, C. and van Wijland, F.},
  title = {Chaotic Properties of Systems with Markov Dynamics},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2005},
  volume = {95},
  pages = {010601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.95.010601},
  doi = {https://doi.org/10.1103/PhysRevLett.95.010601}
}
Attard, P. Statistical mechanical theory for steady state systems. II. Reciprocal relations and the second entropy 2005 The Journal of Chemical Physics
Vol. 122(15), pp. 154101 
article DOI  
BibTeX:
@article{Attard_2005,
  author = {Phil Attard},
  title = {Statistical mechanical theory for steady state systems. II. Reciprocal relations and the second entropy},
  journal = {The Journal of Chemical Physics},
  publisher = {AIP Publishing},
  year = {2005},
  volume = {122},
  number = {15},
  pages = {154101},
  doi = {https://doi.org/10.1063/1.1873572}
}
Humphrey, T.E. and Linke, H. Reversible Thermoelectric Nanomaterials 2005 Phys. Rev. Lett.
Vol. 94, pp. 096601 
article DOI URL 
BibTeX:
@article{Humphrey2005_vol94,
  author = {Humphrey, T. E. and Linke, H.},
  title = {Reversible Thermoelectric Nanomaterials},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2005},
  volume = {94},
  pages = {096601},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.94.096601},
  doi = {https://doi.org/10.1103/PhysRevLett.94.096601}
}
Zamponi, F., Ruocco, G. and Angelani, L. Generalized fluctuation relation and effective temperatures in a driven fluid 2005 Phys. Rev. E
Vol. 71, pp. 020101 
article DOI URL 
BibTeX:
@article{Zamponi2005_vol71,
  author = {Zamponi, F. and Ruocco, G. and Angelani, L.},
  title = {Generalized fluctuation relation and effective temperatures in a driven fluid},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2005},
  volume = {71},
  pages = {020101},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.71.020101},
  doi = {https://doi.org/10.1103/PhysRevE.71.020101}
}
Parisi, G. Brownian motion 2005 Nature
Vol. 433(7023), pp. 221-221 
article DOI  
BibTeX:
@article{Parisi2005vol433,
  author = {Parisi, Giorgio},
  title = {Brownian motion},
  journal = {Nature},
  publisher = {Springer Science and Business Media LLC},
  year = {2005},
  volume = {433},
  number = {7023},
  pages = {221--221},
  doi = {https://doi.org/10.1038/433221a}
}
Balian, R. Information in statistical physics 2005 Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
Vol. 36(2), pp. 323-353 
article DOI URL 
Abstract: We review with a tutorial scope the information theory foundations of quantum
statistical physics. Only a small proportion of the variables that
characterize a system at the microscopic scale can be controlled, for both
practical and theoretical reasons, and a probabilistic description involving
the observers is required. The criterion of maximum von Neumann entropy is
then used for making reasonable inferences. It means that no spurious
information is introduced besides the known data. Its outcomes can be given a
direct justification based on the principle of indifference of Laplace. We
introduce the concept of relevant entropy associated with some set of
relevant variables; it characterizes the information that is missing at the
microscopic level when only these variables are known. For equilibrium
problems, the relevant variables are the conserved ones, and the Second Law
is recovered as a second step of the inference process. For non-equilibrium
problems, the increase of the relevant entropy expresses an irretrievable
loss of information from the relevant variables towards the irrelevant ones.
Two examples illustrate the flexibility of the choice of relevant variables
and the multiplicity of the associated entropies: the thermodynamic entropy
(satisfying the Clausius-Duhem inequality) and the Boltzmann entropy
(satisfying the H-theorem). The identification of entropy with missing
information is also supported by the paradox of Maxwell's demon. Spin-echo
experiments show that irreversibility itself is not an absolute concept: use
of hidden information may overcome the arrow of time.
BibTeX:
@article{Bali2005_vol36,
  author = {Roger Balian},
  title = {Information in statistical physics},
  journal = {Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics},
  year = {2005},
  volume = {36},
  number = {2},
  pages = {323--353},
  url = {http://www.sciencedirect.com/science/article/pii/S1355219805000195},
  doi = {https://doi.org/10.1016/j.shpsb.2005.02.001}
}
Bena, I., den Broeck, C.V. and Kawai, R. Jarzynski equality for the Jepsen gas 2005 Europhys. Lett.
Vol. 71(6), pp. 879 
article URL 
Abstract: We illustrate the Jarzynski equality on the exactly solvable model of an
ideal gas in uniform expansion or compression. The analytical results for the
probability density P ( W ) of the work W performed by the gas are compared
with the results of molecular dynamics simulations for a two-dimensional
dilute gas of hard spheres, a prototype for a real, slightly non-ideal gas.
BibTeX:
@article{Bena2005_vol71,
  author = {I. Bena and C. Van den Broeck and R. Kawai},
  title = {Jarzynski equality for the Jepsen gas},
  journal = {Europhys. Lett.},
  year = {2005},
  volume = {71},
  number = {6},
  pages = {879},
  url = {http://stacks.iop.org/0295-5075/71/i=6/a=879}
}
Bertini, L., De Sole, A., Gabrielli, D., Jona-Lasinio, G. and Landim, C. Current Fluctuations in Stochastic Lattice Gases 2005 Phys. Rev. Lett.
Vol. 94, pp. 030601 
article DOI URL 
BibTeX:
@article{Bertini2005_vol94,
  author = {Bertini, L. and De Sole, A. and Gabrielli, D. and Jona-Lasinio, G. and Landim, C.},
  title = {Current Fluctuations in Stochastic Lattice Gases},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2005},
  volume = {94},
  pages = {030601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.94.030601},
  doi = {https://doi.org/10.1103/PhysRevLett.94.030601}
}
Bringuier, É. Électrocinétique : Transport de l'électricité dans les milieux matériels 2005 Sciences et techniques.  book DOI URL 
BibTeX:
@book{Bringuier2005vol,
  author = {Éric Bringuier},
  title = {Électrocinétique : Transport de l'électricité dans les milieux matériels},
  journal = {Sciences et techniques.},
  publisher = {CNRS Édition},
  year = {2005},
  url = {https://www.cnrseditions.fr/auteur/eric-bringuier/},
  doi = {ISBN 2-271-06216-0}
}
Bustamante, C., Liphardt, J. and Ritort, F. The Nonequilibrium Thermodynamics of Small Systems 2005 Phys. Today
Vol. 58(7), pp. 43-48 
article DOI URL 
BibTeX:
@article{Bustamante2005_vol58,
  author = {Carlos Bustamante and Jan Liphardt and Felix Ritort},
  title = {The Nonequilibrium Thermodynamics of Small Systems},
  journal = {Phys. Today},
  publisher = {AIP},
  year = {2005},
  volume = {58},
  number = {7},
  pages = {43--48},
  url = {http://link.aip.org/link/?PTO/58/43/1},
  doi = {https://doi.org/10.1063/1.2012462}
}
Calabrese, P. and Gambassi, A. Ageing properties of critical systems 2005 J. Phys. A: Math. Gen.
Vol. 38(18), pp. R133 
article URL 
Abstract: In the past few years, systems with slow dynamics have attracted considerable
theoretical and experimental interest. Ageing phenomena are observed during
this everlasting non-equilibrium evolution. A simple instance of such a
behaviour is provided by the dynamics that takes place when a system is
quenched from its high-temperature phase to the critical point. The aim of
this review is to summarize the various numerical and analytical results that
have been recently obtained for this case. Particular emphasis is put on the
field-theoretical methods that can be used to provide analytical predictions
for the relevant dynamical quantities. Fluctuation-dissipation relations are
discussed and in particular the concept of fluctuation-dissipation ratio
(FDR) is reviewed, emphasizing its connection with the definition of a
possible effective temperature. The renormalization-group approach to
critical dynamics is summarized and the scaling forms of the time-dependent
non-equilibrium correlation and response functions of a generic observable
are discussed. From them, the universality of the associated FDR follows as
an amplitude ratio. It is then possible to provide predictions for ageing
quantities in a variety of different models. In particular, the results for
models A, B and C dynamics of the O ( N ) Ginzburg-Landau Hamiltonian, and
model A dynamics of the weakly dilute Ising magnet and of the phi^3 theory
are reviewed and compared with the available numerical results and exact
solutions. The effect of a planar surface on the ageing behaviour of model A
dynamics is also addressed within the mean-field approximation.
BibTeX:
@article{Calabrese2005_vol38,
  author = {P. Calabrese and A. Gambassi},
  title = {Ageing properties of critical systems},
  journal = {J. Phys. A: Math. Gen.},
  year = {2005},
  volume = {38},
  number = {18},
  pages = {R133},
  url = {http://stacks.iop.org/0305-4470/38/i=18/a=R01}
}
Castellani, T. and Cavagna, A. Spin-glass theory for pedestrians 2005 J. Stat. Mech: Theory Exp.
Vol. 2005(05), pp. P05012 
article URL 
Abstract: In these notes the main theoretical concepts and techniques in the field of
mean-field spin glasses are reviewed in a compact and pedagogical way, for
the benefit of the graduate and undergraduate student. One particular
spin-glass model is analysed (the p-spin spherical model) by using three
different approaches: thermodynamics, covering pure states, overlaps, overlap
distribution, replica symmetry breaking, and the static transition; dynamics,
covering the generating functional method, generalized Langevin equation,
equations for the correlation and the response, the mode coupling
approximation, and the dynamical transition; and finally complexity, covering
the mean-field (Thouless-Anderson-Palmer) free energy, metastable states,
entropy crisis, threshold energy, and saddles. Particular attention has been
paid to the mutual consistency of the results obtained from the different
methods.
BibTeX:
@article{Castellani2005_vol2005,
  author = {Tommaso Castellani and Andrea Cavagna},
  title = {Spin-glass theory for pedestrians},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2005},
  volume = {2005},
  number = {05},
  pages = {P05012},
  url = {http://stacks.iop.org/1742-5468/2005/i=05/a=P05012}
}
Chernyak, V., Chertkov, M. and Jarzynski, C. Dynamical generalization of nonequilibrium work relation 2005 Phys. Rev. E
Vol. 71(2), pp. 025102 
article DOI  
BibTeX:
@article{Chernyak2005_vol71,
  author = {Chernyak, V. and Chertkov, M. and Jarzynski, C.},
  title = {Dynamical generalization of nonequilibrium work relation},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2005},
  volume = {71},
  number = {2},
  pages = {025102},
  doi = {https://doi.org/10.1103/PhysRevE.71.025102}
}
Collin, D., Ritort, F., Jarzynski, C., Smith, S.B., Tinoco, I.J. and Bustamante, C. Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies 2005 Nature
Vol. 437, pp. 231-234 
article DOI  
BibTeX:
@article{Collin2005_vol437,
  author = {Collin, D. and Ritort, F. and Jarzynski, C. and Smith, S. B. and Tinoco, I. Jr and Bustamante, C.},
  title = {Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies},
  journal = {Nature},
  year = {2005},
  volume = {437},
  pages = {231--234},
  doi = {https://doi.org/10.1038/nature04061}
}
Datta, S. Quantum transport: Atom to transistor 2005   book  
BibTeX:
@book{Datta2005vol,
  author = {Supriyo Datta},
  title = {Quantum transport: Atom to transistor},
  publisher = {Cambridge University Press},
  year = {2005}
}
Dewar, R.C. Maximum entropy production and the fluctuation theorem 2005 J. Phys. A: Math. Gen.
Vol. 38(21), pp. L371 
article URL 
Abstract: Recently the author used an information theoretical formulation of
non-equilibrium statistical mechanics (MaxEnt) to derive the fluctuation
theorem (FT) concerning the probability of second law violating phase-space
paths. A less rigorous argument leading to the variational principle of
maximum entropy production (MEP) was also given. Here a more rigorous and
general mathematical derivation of MEP from MaxEnt is presented, and the
relationship between MEP and the FT is thereby clarified. Specifically, it is
shown that the FT allows a general orthogonality property of maximum
information entropy to be extended to entropy production itself, from which
MEP then follows. The new derivation highlights MEP and the FT as generic
properties of MaxEnt probability distributions involving anti-symmetric
constraints, independently of any physical interpretation. Physically, MEP
applies to the entropy production of those macroscopic fluxes that are free
to vary under the imposed constraints, and corresponds to selection of the
most probable macroscopic flux configuration. In special cases MaxEnt also
leads to various upper bound transport principles. The relationship between
MaxEnt and previous theories of irreversible processes due to Onsager,
Prigogine and Ziegler is also clarified in the light of these results.
BibTeX:
@article{Dewar2005_vol38,
  author = {Dewar, R. C.},
  title = {Maximum entropy production and the fluctuation theorem},
  journal = {J. Phys. A: Math. Gen.},
  year = {2005},
  volume = {38},
  number = {21},
  pages = {L371},
  url = {http://stacks.iop.org/0305-4470/38/i=21/a=L01}
}
Diezemann, G. Fluctuation-dissipation relations for Markov processes 2005 Phys. Rev. E
Vol. 72(1), pp. 011104 
article DOI  
BibTeX:
@article{Diezemann2005_vol72,
  author = {Diezemann, G.},
  title = {Fluctuation-dissipation relations for Markov processes},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2005},
  volume = {72},
  number = {1},
  pages = {011104},
  doi = {https://doi.org/10.1103/PhysRevE.72.011104}
}
Douarche, F., Ciliberto, S. and Petrosyan, A. Estimate of the free energy difference in mechanical systems from work fluctuations: experiments and models 2005 J. Stat. Mech: Theory Exp.(09), pp. P09011  article URL 
Abstract: The work fluctuations of an oscillator in contact with a heat reservoir and
driven out of equilibrium by an external force are studied experimentally.
The oscillator dynamics is modelled by a Langevin equation. We find both
experimentally and theoretically that, if the driving force does not change
the equilibrium properties of the thermal fluctuations of this mechanical
system, the free energy difference ? F between two equilibrium states can be
exactly computed using the Jarzynski equality (JE) and the Crooks relation
(CR) independently of the timescale and amplitude of the driving force. The
applicability limits for the JE and CR at very large driving forces are
discussed. Finally, when the work fluctuations are Gaussian, we propose an
alternative method to compute ? F which can be safely applied, even in cases
where the JE and CR might not hold. The results of this paper are useful to
compute ? F in complex systems such as the biological ones.
BibTeX:
@article{Douarche2005_vol2005,
  author = {F Douarche and S Ciliberto and A Petrosyan},
  title = {Estimate of the free energy difference in mechanical systems from work fluctuations: experiments and models},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2005},
  number = {09},
  pages = {P09011},
  url = {http://stacks.iop.org/1742-5468/2005/i=09/a=P09011}
}
Evans, R.M.L. Detailed balance has a counterpart in non-equilibrium steady states 2005 J. Phys. A: Math. Gen.
Vol. 38(2), pp. 293 
article URL 
Abstract: When modelling driven steady states of matter, it is common practice either
to choose transition rates arbitrarily, or to assume that the principle of
detailed balance remains valid away from equilibrium. Neither of those
practices is theoretically well founded. Hypothesizing ergodicity constrains
the transition rates in driven steady states to respect relations analogous
to, but different from, the equilibrium principle of detailed balance. The
constraints arise from demanding that the design of any model system contains
no information extraneous to the microscopic laws of motion and the
macroscopic observables. This prevents over-description of the
non-equilibrium reservoir, and implies that not all stochastic equations of
motion are equally valid. The resulting recipe for transition rates has many
features in common with equilibrium statistical mechanics.
BibTeX:
@article{Evans2005_vol38,
  author = {R M L Evans},
  title = {Detailed balance has a counterpart in non-equilibrium steady states},
  journal = {J. Phys. A: Math. Gen.},
  year = {2005},
  volume = {38},
  number = {2},
  pages = {293},
  url = {http://stacks.iop.org/0305-4470/38/i=2/a=001}
}
Farago, J. Energy Profile Fluctuations in Dissipative Nonequilibrium Stationary States 2005 J. Stat. Phys.
Vol. 118(3-4), pp. 373-405 
article DOI URL 
BibTeX:
@article{Farago2005_vol118,
  author = {Farago, Jean},
  title = {Energy Profile Fluctuations in Dissipative Nonequilibrium Stationary States},
  journal = {J. Stat. Phys.},
  publisher = {Kluwer Academic Publishers-Plenum Publishers},
  year = {2005},
  volume = {118},
  number = {3-4},
  pages = {373--405},
  url = {http://dx.doi.org/10.1007/s10955-004-8814-4},
  doi = {https://doi.org/10.1007/s10955-004-8814-4}
}
Flannery, M.R. The enigma of nonholonomic constraints 2005 Am. J. Phys.
Vol. 73(3), pp. 265-272 
article  
BibTeX:
@article{Flannery2005_vol73,
  author = {Flannery, M. R.},
  title = {The enigma of nonholonomic constraints},
  journal = {Am. J. Phys.},
  year = {2005},
  volume = {73},
  number = {3},
  pages = {265--272}
}
Flindt, C., Novotn�, T. and Jauho, A.-P. Full counting statistics of nano-electromechanical systems 2005 Europhys. Lett.
Vol. 69(3), pp. 475 
article URL 
Abstract: We develop a theory for the full counting statistics (FCS) for a class of
nanoelectromechanical systems (NEMS), describable by a Markovian generalized
master equation. The theory is applied to two specific examples of current
interest: vibrating C 60 -molecules and quantum shuttles. We report a
numerical evaluation of the first three cumulants for the C 60 setup; for the
quantum shuttle we use the third cumulant to substantiate that the giant
enhancement in noise observed at the shuttling transition is due to a slow
switching between two competing conduction channels. Especially the last
example illustrates the power of the FCS.
BibTeX:
@article{Flindt2005_vol69,
  author = {C. Flindt and T. Novotn� and A.-P. Jauho},
  title = {Full counting statistics of nano-electromechanical systems},
  journal = {Europhys. Lett.},
  year = {2005},
  volume = {69},
  number = {3},
  pages = {475},
  url = {http://stacks.iop.org/0295-5075/69/i=3/a=475}
}
Gaspard, P. Chaos, Scattering and Statistical Mechanics 2005   book  
BibTeX:
@book{Book_Gaspard2005,
  author = {Pierre Gaspard},
  title = {Chaos, Scattering and Statistical Mechanics},
  publisher = {Cambridge University Press},
  year = {2005}
}
Harada, T., Hayashi, K. and Sasa, S.-i. Exact transformation of a Langevin equation to a fluctuating response equation 2005 J. Phys. A: Math. Gen.
Vol. 38(17), pp. 3799 
article URL 
Abstract: We demonstrate that a Langevin equation that describes the motion of a
Brownian particle under non-equilibrium conditions can be exactly transformed
to a special equation that explicitly exhibits the response of the velocity
to a time-dependent perturbation. This transformation is constructed on the
basis of an operator formulation originally used in nonlinear perturbation
theory for differential equations by extending it to stochastic analysis. We
find that the expression obtained is useful for the calculation of
fundamental quantities of the system, and that it provides a physical basis
for the decomposition of the forces in the Langevin description into
effective driving, dissipative and random forces in a large-scale
description.
BibTeX:
@article{Harada2005_vol38,
  author = {Takahiro Harada and Kumiko Hayashi and Shin-ichi Sasa},
  title = {Exact transformation of a Langevin equation to a fluctuating response equation},
  journal = {J. Phys. A: Math. Gen.},
  year = {2005},
  volume = {38},
  number = {17},
  pages = {3799},
  url = {http://stacks.iop.org/0305-4470/38/i=17/a=006}
}
Harada, T. and Sasa, S. Equality Connecting Energy Dissipation with a Violation of the Fluctuation-Response Relation 2005 Phys. Rev. Lett.
Vol. 95(13), pp. 130602 
article DOI  
BibTeX:
@article{Harada2005_vol95,
  author = {Harada, T. and Sasa, S.},
  title = {Equality Connecting Energy Dissipation with a Violation of the Fluctuation-Response Relation},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2005},
  volume = {95},
  number = {13},
  pages = {130602},
  doi = {https://doi.org/10.1103/PhysRevLett.95.130602}
}
Hestenes, D. Gauge Theory Gravity with Geometric Calculus 2005   article  
BibTeX:
@article{Hestenes2005vol,
  author = {D. Hestenes},
  title = {Gauge Theory Gravity with Geometric Calculus},
  year = {2005}
}
Imparato, A. and Peliti, L. Work distribution and path integrals in general mean-field systems 2005 Europhys. Lett.
Vol. 70(6), pp. 740 
article URL 
Abstract: We consider a mean-field system described by a general collective variable M
, driven out of equilibrium by the manipulation of a parameter ?. Given a
general dynamics compatible with its equilibrium distribution, we derive the
evolution equation for the joint probability distribution function of M and
the work W done on the system. We solve this equation by path integrals. We
show that the Jarzynski equality holds identically for these dynamics, both
at the path integral level and for the classical paths which dominate the
expression in the thermodynamic limit. We discuss some implications of our
results.
BibTeX:
@article{Imparato2005_vol70,
  author = {A. Imparato and L. Peliti},
  title = {Work distribution and path integrals in general mean-field systems},
  journal = {Europhys. Lett.},
  year = {2005},
  volume = {70},
  number = {6},
  pages = {740},
  url = {http://stacks.iop.org/0295-5075/70/i=6/a=740}
}
Imparato, A. and Peliti, L. Work-probability distribution in systems driven out of equilibrium 2005 Phys. Rev. E
Vol. 72(4), pp. 046114 
article DOI  
BibTeX:
@article{Imparato2005_vol72,
  author = {Imparato, A. and Peliti, L.},
  title = {Work-probability distribution in systems driven out of equilibrium},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2005},
  volume = {72},
  number = {4},
  pages = {046114},
  doi = {https://doi.org/10.1103/PhysRevE.72.046114}
}
Kryvohuz, M. and Cao, J. Nondivergent classical response functions from uncertainty principle: Quasiperiodic systems 2005 The Journal of Chemical Physics
Vol. 122(2) 
article DOI  
BibTeX:
@article{Kryvohuz2005_vol122,
  author = {Kryvohuz, Maksym and Cao, Jianshu},
  title = {Nondivergent classical response functions from uncertainty principle: Quasiperiodic systems},
  journal = {The Journal of Chemical Physics},
  year = {2005},
  volume = {122},
  number = {2},
  doi = {https://doi.org/10.1063/1.1827212}
}
Lecomte, V., Rácz, Z. and van Wijland, F. Energy flux distribution in a two-temperature Ising model 2005 J. Stat. Mech: Theory Exp.
Vol. 2005(02), pp. P02008 
article URL 
Abstract: The nonequilibrium steady state of an infinite range Ising model is studied.
The steady state is obtained by dividing the spins into two groups and
attaching them to two heat baths generating spin flips at different
temperatures. In the thermodynamic limit, the resulting dynamics can be
solved exactly, and the probability flow in the phase space can be
visualized. We can calculate the steady state fluctuations far from
equilibrium and, in particular, we find the exact probability distribution of
the energy current in both the high and low temperature phases.
BibTeX:
@article{Lecomte2005_vol2005,
  author = {Vivien Lecomte and Zoltán Rácz and Frédéric van Wijland},
  title = {Energy flux distribution in a two-temperature Ising model},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2005},
  volume = {2005},
  number = {02},
  pages = {P02008},
  url = {http://stacks.iop.org/1742-5468/2005/i=02/a=P02008}
}
Lippiello, E., Corberi, F. and Zannetti, M. Off-equilibrium generalization of the fluctuation dissipation theorem for Ising spins and measurement of the linear response function 2005 Phys. Rev. E
Vol. 71(3), pp. 036104 
article DOI  
BibTeX:
@article{Lippiello2005_vol71,
  author = {Lippiello, E. and Corberi, F. and Zannetti, M.},
  title = {Off-equilibrium generalization of the fluctuation dissipation theorem for Ising spins and measurement of the linear response function},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2005},
  volume = {71},
  number = {3},
  pages = {036104},
  doi = {https://doi.org/10.1103/PhysRevE.71.036104}
}
Lua, R. and Grosberg, A. Practical applicability of the Jarzynski relation in statistical mechanics: A pedagogical example 2005 J. Phys. Chem. B
Vol. 109(14), pp. 6805-6811 
article DOI  
Abstract: We suggest and discuss a simple model of an ideal gas under the piston to
gain an insight into the workings of the Jarzynski identity connecting the
average exponential of the work over the nonequilibrium trajectories with the
equilibrium free energy. We show that the identity is valid for our system,
due to the very rapid molecules belonging to the tail of the Maxwell
distribution. For the most interesting extreme, when the system volume is
large, while the piston is moving with great speed (compared to thermal
velocity) for a very short time, the necessary number of independent
experimental runs to obtain a reasonable approximation for the free energy
from averaging the nonequilibriurn work grows exponentially with the system
size.
BibTeX:
@article{Lua2005_vol109,
  author = {Lua, RC and Grosberg, AY},
  title = {Practical applicability of the Jarzynski relation in statistical mechanics: A pedagogical example},
  journal = {J. Phys. Chem. B},
  publisher = {AMER CHEMICAL SOC},
  year = {2005},
  volume = {109},
  number = {14},
  pages = {6805--6811},
  doi = {https://doi.org/10.1021/jp0455428}
}
Maggiore, M. A Modern Introduction to Quantum Field Theory 2005   book  
BibTeX:
@book{Book_Maggiore2005,
  author = {Maggiore, M.},
  title = {A Modern Introduction to Quantum Field Theory},
  publisher = {Oxford University Press},
  year = {2005}
}
Marro, J. and Dickman, R. Nonequilibrium Phase Transitions in Lattice Models (Collection Alea-Saclay: Monographs and Texts in Statistical Physics) 2005   book URL 
BibTeX:
@book{Book_Marro2005,
  author = {Marro, J. and Dickman, R.},
  title = {Nonequilibrium Phase Transitions in Lattice Models (Collection Alea-Saclay: Monographs and Texts in Statistical Physics)},
  year = {2005},
  url = {http://gen.lib.rus.ec/book/index.php?md5=ED73DA7825F667CCD29C4E30C49BA458}
}
Mayer, P., Sollich, P., Berthier, L. and Garrahan, J.P. Dynamic heterogeneity in the Glauber-Ising chain 2005 J. Stat. Mech: Theory Exp.(05), pp. P05002  article URL 
Abstract: In a recent paper (Mayer et al , 2004 Phys.�Rev.�Lett. 93 115701) it was
shown, by means of experiments, theory and simulations, that coarsening
systems display dynamic heterogeneity analogous to that of glass formers.
Here, we present a detailed analysis of dynamic heterogeneities in the
Glauber?Ising chain. We discuss how dynamic heterogeneity in Ising systems
must be measured through connected multi-point correlation functions. We show
that in the coarsening regime of the Ising chain these multi-point functions
reveal the growth of spatial correlations in the dynamics, beyond what can be
inferred from standard two-point correlations. They have non-trivial scaling
properties, which we interpret in terms of the diffusion?annihilation
dynamics of domain walls. In the equilibrium dynamics of the Ising chain, on
the other hand, connected multi-point functions vanish exactly and dynamic
heterogeneity is not observed. We argue that the analysis of connected
correlations in coarsening systems should help to explore similarities with
the dynamics of glass formers.
BibTeX:
@article{Mayer2005_vol2005,
  author = {Mayer, P. and Sollich, P. and Berthier, L. and Garrahan, J. P.},
  title = {Dynamic heterogeneity in the Glauber-Ising chain},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2005},
  number = {05},
  pages = {P05002},
  url = {http://stacks.iop.org/1742-5468/2005/i=05/a=P05002}
}
Meriguet, G., Jardat, M. and Turq, P. Brownian dynamics investigation of magnetization and birefringence relaxations in ferrofluids 2005 J. Chem. Phys.
Vol. {123}({14}), pp. 144915 
article DOI  
Abstract: Brownian dynamics simulations are used to investigate the dynamics of
orientational properties of real charge-stabilized ferrofluids, i.e. stable
colloidal dispersions of magnetic nanoparticles. The relaxation times of the
magnetization and of the birefringence, data accessible by experimental
techniques, have been computed at several volume fractions. Besides, the
effect of hydrodynamic interactions has been investigated. Equilibrium
simulations without field are found to be inadequate to determine the
aforementioned relaxation times for the systems under study, the dipolar
interaction being too weak. Thus a nonequilibrium simulation procedure that
mimics the experimental operating mode has been developed. After equilibrium
simulations under a magnetic field, both birefringence and magnetization
decays are recorded once the field is suppressed. Birefringence and
magnetization decays are markedly impeded as the volume fraction increases,
whereas they are barely enhanced when the intensity of the initial magnetic
field is increased at a fixed volume fraction. Eventually, hydrodynamic
interactions exhibit a slight but systematic lengthening of the relaxation
times.
BibTeX:
@article{Meriguet2005_vol123,
  author = {Meriguet, G and Jardat, M and Turq, P},
  title = {Brownian dynamics investigation of magnetization and birefringence relaxations in ferrofluids},
  journal = {J. Chem. Phys.},
  year = {2005},
  volume = {123},
  number = {14},
  pages = {144915},
  doi = {https://doi.org/10.1063/1.2056551}
}
Piryatinska, A., Saichev, A.I. and Woyczynski, W.A. Models of anomalous diffusion: the subdiffusive case 2005 Phys. A
Vol. 349(3-4), pp. 375-420 
article DOI URL 
BibTeX:
@article{Piryatinska2005_vol349,
  author = {Piryatinska, A. and Saichev, A. I. and Woyczynski, W. A.},
  title = {Models of anomalous diffusion: the subdiffusive case},
  journal = {Phys. A},
  year = {2005},
  volume = {349},
  number = {3-4},
  pages = {375--420},
  url = {http://www.sciencedirect.com/science/article/pii/S0378437104014098},
  doi = {https://doi.org/10.1016/j.physa.2004.11.003}
}
Qian, H. and Beard, D.A. Thermodynamics of stoichiometric biochemical networks in living systems far from equilibrium 2005 Biophys. Chem.
Vol. 114, pp. 213-220 
article DOI URL 
BibTeX:
@article{Qian2005_vol114,
  author = {Hong Qian and Daniel A. Beard},
  title = {Thermodynamics of stoichiometric biochemical networks in living systems far from equilibrium},
  journal = {Biophys. Chem.},
  year = {2005},
  volume = {114},
  pages = {213--220},
  url = {http://www.sciencedirect.com/science/article/pii/S030146220400314X},
  doi = {https://doi.org/10.1016/j.bpc.2004.12.001}
}
Rondelez, Y., Tresset, G., Nakashima, T., Kato-Yamada, Y., Fujita, H., Takeuchi, S. and Noji, H. Highly coupled ATP synthesis by F1-ATPase single molecules 2005 Nature
Vol. 433, pp. 773 
article URL 
BibTeX:
@article{Rondelez2005vol433,
  author = {Yannick Rondelez and Guillaume Tresset and Takako Nakashima and Yasuyuki Kato-Yamada and Hiroyuki Fujita and Shoji Takeuchi and Hiroyuki Noji},
  title = {Highly coupled ATP synthesis by F1-ATPase single molecules},
  journal = {Nature},
  year = {2005},
  volume = {433},
  pages = {773},
  url = {https://www.nature.com/articles/nature03277}
}
Schuler, S., Speck, T., Tietz, C., Wrachtrup, J. and Seifert, U. Experimental Test of the Fluctuation Theorem for a Driven Two-Level System with Time-Dependent Rates 2005 Phys. Rev. Lett.
Vol. 94, pp. 180602 
article DOI  
BibTeX:
@article{Schuler2005_vol94,
  author = {Schuler, S. and Speck, T. and Tietz, C. and Wrachtrup, J. and Seifert, U.},
  title = {Experimental Test of the Fluctuation Theorem for a Driven Two-Level System with Time-Dependent Rates},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2005},
  volume = {94},
  pages = {180602},
  doi = {https://doi.org/10.1103/PhysRevLett.94.180602}
}
Schulman, L.S. Techniques And Applications of Path Integration 2005   book  
BibTeX:
@book{Book_Schulman2005,
  author = {Schulman, L. S.},
  title = {Techniques And Applications of Path Integration},
  publisher = {Dover Publications Inc.},
  year = {2005}
}
Seifert, U. Entropy Production along a Stochastic Trajectory and an Integral Fluctuation Theorem 2005 Phys. Rev. Lett.
Vol. 95(4), pp. 040602 
article DOI  
BibTeX:
@article{Seifert2005_vol95,
  author = {U. Seifert},
  title = {Entropy Production along a Stochastic Trajectory and an Integral Fluctuation Theorem},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2005},
  volume = {95},
  number = {4},
  pages = {040602},
  doi = {https://doi.org/10.1103/PhysRevLett.95.040602}
}
Seifert, U. Fluctuation theorem for a single enzym or molecular motor 2005 Europhys. Lett.
Vol. 70(1), pp. 36 
article URL 
Abstract: Cyclically operating enzyms and molecular motors are shown to be restricted
non-linearly by a fluctuation theorem that basically relates the number of
backward steps to that of forward steps. Only if the rates obey a
quasi-equilibrium form in terms of chemical potentials and mechanical load,
this fluctuation theorem becomes the usual one for entropy fluctuations.
Boundary terms can be subsumed under an entropy change if one defines a
trajectory-dependent entropy of the enzym or motor. Explicit expressions are
derived for a three-state motor with and without an intermediate state and an
enzym with Michaelis-Menten kinetics.
BibTeX:
@article{Seifert2005_vol70,
  author = {U. Seifert},
  title = {Fluctuation theorem for a single enzym or molecular motor},
  journal = {Europhys. Lett.},
  year = {2005},
  volume = {70},
  number = {1},
  pages = {36},
  url = {http://stacks.iop.org/0295-5075/70/i=1/a=036}
}
Speck, T. and Seifert, U. Integral fluctuation theorem for the housekeeping heat 2005 J. Phys. A: Math. Theor.
Vol. 38(34), pp. L581-L588 
article DOI  
BibTeX:
@article{Speck2005vol38,
  author = {Speck, T. and Seifert, U.},
  title = {Integral fluctuation theorem for the housekeeping heat},
  journal = {J. Phys. A: Math. Theor.},
  publisher = {IOP PUBLISHING LTD},
  year = {2005},
  volume = {38},
  number = {34},
  pages = {L581--L588},
  doi = {https://doi.org/10.1088/0305-4470/38/34/L03}
}
Wurfel, P. Physics of Solar Cells 2005   book  
BibTeX:
@book{Book_Wurfel2005,
  author = {Peter Wurfel},
  title = {Physics of Solar Cells},
  publisher = {Weinheim: Wiley-VCH.},
  year = {2005}
}
Zachos, C.K., Fairlie, D. and Curtright, T.L. Quantum Mechanics in Phase Space 2005   book URL 
BibTeX:
@book{Book_Zachos2005,
  author = {Zachos, C. K. and Fairlie, D.B. and Curtright, T. L.},
  title = {Quantum Mechanics in Phase Space},
  publisher = {World Scientific Publishing Company},
  year = {2005},
  edition = {WS},
  url = {http://gen.lib.rus.ec/book/index.php?md5=55D106478EEE148B4BE66AC89C559BA5}
}
Zamponi, F., Bonetto, F., Cugliandolo, L.F. and Kurchan, J. A fluctuation theorem for non-equilibrium relaxational systems driven by external forces 2005 J. Stat. Mech: Theory Exp.(09), pp. P09013  article URL 
Abstract: We discuss an extension of the fluctuation theorem to stochastic models that,
in the limit of zero external drive, are not able to equilibrate with their
environment, extending earlier results of Sellitto. We show that if the
entropy production rate is suitably defined, its probability distribution
function verifies the fluctuation relation with the ambient temperature
replaced by a (frequency dependent) effective temperature. We derive modified
Green?Kubo relations. We illustrate these results with the simple example of
an oscillator coupled to a non-equilibrium bath driven by an external force.
We discuss the relevance of our results for driven glasses and the diffusion
of Brownian particles in out-of-equilibrium media and propose a concrete
experimental strategy for measuring the low frequency value of the effective
temperature using the fluctuations of the work done by an ac conservative
field. We compare our results to related ones that appeared in the literature
recently.
BibTeX:
@article{Zamponi2005_vol2005,
  author = {Francesco Zamponi and Federico Bonetto and Leticia F Cugliandolo and Jorge Kurchan},
  title = {A fluctuation theorem for non-equilibrium relaxational systems driven by external forces},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2005},
  number = {09},
  pages = {P09013},
  url = {http://stacks.iop.org/1742-5468/2005/i=09/a=P09013}
}
Speck, T. and Seifert, U. Distribution of work in isothermal nonequilibrium processes 2004 Phys. Rev. E
Vol. 70, pp. 066112 
article DOI URL 
BibTeX:
@article{Speck2004_vol70,
  author = {Speck, T. and Seifert, U.},
  title = {Distribution of work in isothermal nonequilibrium processes},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2004},
  volume = {70},
  pages = {066112},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.70.066112},
  doi = {https://doi.org/10.1103/PhysRevE.70.066112}
}
Xing, J., Wang, H., von Ballmoos, C., Dimroth, P. and Oster, G. Torque Generation by the Fo motor of the Sodium ATPase 2004 Biophysical journal
Vol. 87, pp. 2148-63 
article DOI  
BibTeX:
@article{Xing2004vol87,
  author = {Xing, Jianhua and Wang, Hongyun and von Ballmoos, Christoph and Dimroth, Peter and Oster, George},
  title = {Torque Generation by the Fo motor of the Sodium ATPase},
  journal = {Biophysical journal},
  year = {2004},
  volume = {87},
  pages = {2148--63},
  doi = {https://doi.org/10.1529/biophysj.104.042093}
}
Elgart, V. and Kamenev, A. Rare event statistics in reaction-diffusion systems 2004 Phys. Rev. E
Vol. 70, pp. 041106 
article DOI URL 
BibTeX:
@article{Elgart2004_vol70,
  author = {Elgart, Vlad and Kamenev, Alex},
  title = {Rare event statistics in reaction-diffusion systems},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2004},
  volume = {70},
  pages = {041106},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.70.041106},
  doi = {https://doi.org/10.1103/PhysRevE.70.041106}
}
Minakata, H. and Smirnov, A.Y. Neutrino mixing and quark-lepton complementarity 2004 Physical Review D
Vol. 70(7), pp. 073009 
article DOI  
BibTeX:
@article{Minakata2004vol70,
  author = {Hisakazu Minakata and Alexei Yu. Smirnov},
  title = {Neutrino mixing and quark-lepton complementarity},
  journal = {Physical Review D},
  publisher = {American Physical Society (APS)},
  year = {2004},
  volume = {70},
  number = {7},
  pages = {073009},
  doi = {https://doi.org/10.1103/physrevd.70.073009}
}
Ichinomiya, T. Frequency synchronization in a random oscillator network 2004 Phys. Rev. E
Vol. 70, pp. 026116 
article DOI URL 
BibTeX:
@article{Ichinomiya2004_vol70,
  author = {Ichinomiya, Takashi},
  title = {Frequency synchronization in a random oscillator network},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2004},
  volume = {70},
  pages = {026116},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.70.026116},
  doi = {https://doi.org/10.1103/PhysRevE.70.026116}
}
Jarzynski, C. and Wójcik, D. Classical and Quantum Fluctuation Theorems for Heat Exchange 2004 Phys. Rev. Lett.
Vol. 92, pp. 230602 
article DOI URL 
BibTeX:
@article{Jarzynski2004_vol92,
  author = {Jarzynski, C. and Wójcik, D.K.},
  title = {Classical and Quantum Fluctuation Theorems for Heat Exchange},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2004},
  volume = {92},
  pages = {230602},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.92.230602},
  doi = {https://doi.org/10.1103/PhysRevLett.92.230602}
}
Bodineau, T. and Derrida, B. Current Fluctuations in Nonequilibrium Diffusive Systems: An Additivity Principle 2004 Phys. Rev. Lett.
Vol. 92, pp. 180601 
article DOI URL 
BibTeX:
@article{Bodineau2004_vol92,
  author = {Thierry Bodineau and Bernard Derrida},
  title = {Current Fluctuations in Nonequilibrium Diffusive Systems: An Additivity Principle},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2004},
  volume = {92},
  pages = {180601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.92.180601},
  doi = {https://doi.org/10.1103/PhysRevLett.92.180601}
}
Canet, L., Delamotte, B., Deloubrière, O. and Wschebor, N. Nonperturbative Renormalization-Group Study of Reaction-Diffusion Processes 2004 Phys. Rev. Lett.
Vol. 92, pp. 195703 
article DOI URL 
Abstract: We generalize nonperturbative renormalization group methods to nonequilibrium
critical phenomena. Within this formalism, reaction-diffusion processes are
described by a scale-dependent effective action, the flow of which is
derived. We investigate branching and annihilating random walks with an odd
number of offspring. Along with recovering their universal physics (described
by the directed percolation universality class), we determine their phase
diagrams and predict that a transition occurs even in three dimensions,
contrarily to what perturbation theory suggests.
BibTeX:
@article{Canet2004_vol92,
  author = {Canet, L. and Delamotte, B. and Deloubrière, O. and Wschebor, N.},
  title = {Nonperturbative Renormalization-Group Study of Reaction-Diffusion Processes},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2004},
  volume = {92},
  pages = {195703},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.92.195703},
  doi = {https://doi.org/10.1103/PhysRevLett.92.195703}
}
Noid, W.G., Ezra, G.S. and Loring, R.F. Vibrational Echoes: Dephasing, Rephasing, and the Stability of Classical Trajectories 2004 The Journal of Physical Chemistry B
Vol. 108(21), pp. 6536-6543 
article  
BibTeX:
@article{Noid2004_vol108,
  author = {Noid, W. G. and Ezra, Gregory S. and Loring, Roger F.},
  title = {Vibrational Echoes: Dephasing, Rephasing, and the Stability of Classical Trajectories},
  journal = {The Journal of Physical Chemistry B},
  year = {2004},
  volume = {108},
  number = {21},
  pages = {6536--6543}
}
van Zon, R. and Cohen, E.G.D. Extended heat-fluctuation theorems for a system with deterministic and stochastic forces 2004 Phys. Rev. E
Vol. 69, pp. 056121 
article DOI URL 
BibTeX:
@article{Zon2004_vol69,
  author = {van Zon, R. and Cohen, E. G. D.},
  title = {Extended heat-fluctuation theorems for a system with deterministic and stochastic forces},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2004},
  volume = {69},
  pages = {056121},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.69.056121},
  doi = {https://doi.org/10.1103/PhysRevE.69.056121}
}
Evans, R.M.L. Rules for Transition Rates in Nonequilibrium Steady States 2004 Phys. Rev. Lett.
Vol. 92, pp. 150601 
article DOI URL 
BibTeX:
@article{Evans2004_vol92,
  author = {Evans, R. M. L.},
  title = {Rules for Transition Rates in Nonequilibrium Steady States},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2004},
  volume = {92},
  pages = {150601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.92.150601},
  doi = {https://doi.org/10.1103/PhysRevLett.92.150601}
}
Parrondo, J. and Din\is, L. Brownian motion and gambling: from ratchets to paradoxical games 2004 Contemporary Physics
Vol. 45(2), pp. 147-157 
article DOI  
BibTeX:
@article{Parrondo2004vol45,
  author = {JMR Parrondo and Luis Din\is},
  title = {Brownian motion and gambling: from ratchets to paradoxical games},
  journal = {Contemporary Physics},
  publisher = {Informa UK Limited},
  year = {2004},
  volume = {45},
  number = {2},
  pages = {147--157},
  doi = {https://doi.org/10.1080/00107510310001644836}
}
Caillol, J.-M. Random walks on hyperspheres of arbitrary dimensions 2004 Journal of Physics A: Mathematical and General
Vol. 37(9), pp. 3077-3083 
article DOI URL 
BibTeX:
@article{Caillol2004vol37,
  author = {Jean-Michel Caillol},
  title = {Random walks on hyperspheres of arbitrary dimensions},
  journal = {Journal of Physics A: Mathematical and General},
  publisher = {IOP Publishing},
  year = {2004},
  volume = {37},
  number = {9},
  pages = {3077--3083},
  url = {https://doi.org/10.1088%2F0305-4470%2F37%2F9%2F001},
  doi = {https://doi.org/10.1088/0305-4470/37/9/001}
}
Sugon, Q.M. and McNamara, D.J. A geometric algebra reformulation of geometric optics 2004 American Journal of Physics
Vol. 72(1), pp. 92-97 
article DOI  
BibTeX:
@article{Sugon2004vol72,
  author = {Quirino M. Sugon and Daniel J. McNamara},
  title = {A geometric algebra reformulation of geometric optics},
  journal = {American Journal of Physics},
  publisher = {American Association of Physics Teachers (AAPT)},
  year = {2004},
  volume = {72},
  number = {1},
  pages = {92--97},
  doi = {https://doi.org/10.1119/1.1621029}
}
Andrieux, D. Etude du théorème de fluctuation dans les processus de non equilibre 2004   article  
BibTeX:
@article{Andrieux2004_vol,
  author = {Andrieux, D.},
  title = {Etude du théorème de fluctuation dans les processus de non equilibre},
  year = {2004}
}
Andrieux, D. and Gaspard, P. Fluctuation theorem and Onsager reciprocity relations 2004 J. Chem. Phys.
Vol. 121(13), pp. 6167-6174 
article DOI URL 
Abstract: The Onsager and higher-order reciprocity relations are derived from a
fluctuation theorem for nonequilibrium reactions ruled by the chemical master
equation. The fluctuation theorem is obtained for the generating function of
the macroscopic fluxes between chemiostats maintaining the system in a
nonequilibrium steady state. The macroscopic affinities associated with the
fluxes are identified by graph theory. The Yamamoto-Zwanzig formulas for the
reaction constants are also derived from the fluctuation theorem. (C) 2004
American Institute of Physics.
BibTeX:
@article{Andrieux2004_vol121,
  author = {Andrieux, D and Gaspard, P},
  title = {Fluctuation theorem and Onsager reciprocity relations},
  journal = {J. Chem. Phys.},
  publisher = {AMER INST PHYSICS},
  year = {2004},
  volume = {121},
  number = {13},
  pages = {6167--6174},
  url = {https://doi.org/10.1063/1.1782391},
  doi = {https://doi.org/10.1063/1.1782391}
}
Boyd, S. and Vandenberghe, L. Convex Optimization 2004 Cambridge University Press  book URL 
BibTeX:
@book{Boyd2004vol,
  author = {Stephen Boyd and Lieven Vandenberghe},
  title = {Convex Optimization},
  journal = {Cambridge University Press},
  publisher = {Cambridge University Press},
  year = {2004},
  url = {http://stanford.edu/ boyd/cvxbook/}
}
Bucklew, J.A. Introduction to Rare Event Simulation 2004   book DOI  
BibTeX:
@book{Bucklew2004vol,
  author = {James Antonio Bucklew},
  title = {Introduction to Rare Event Simulation},
  publisher = {Springer New York},
  year = {2004},
  doi = {https://doi.org/10.1007/978-1-4757-4078-3}
}
Crisanti, A. and Ritort, F. Intermittency of glassy relaxation and the emergence of a non-equilibrium spontaneous measure in the aging regime 2004 Europhys. Lett.
Vol. 66(2), pp. 253 
article DOI URL 
Abstract: We consider heat exchange processes between non-equilibrium aging systems (in
their activated regime) and the thermal bath in contact. We discuss a
scenario where two different heat exchange processes concur in the overall
heat dissipation: a stimulated fast process determined by the temperature of
the bath and a spontaneous intermittent process determined by the fact that
the system has been prepared in a non-equilibrium state. The latter is
described by a probability distribution function (PDF) that has an
exponential tail of width given by a parameter ?, and satisfies a fluctuation
theorem (FT) governed by that parameter. The value of ? is proportional to
the so-called effective temperature, thereby providing a practical way to
experimentally measure it by analyzing the PDF of intermittent events.
BibTeX:
@article{Crisanti2004_vol66,
  author = {A. Crisanti and F. Ritort},
  title = {Intermittency of glassy relaxation and the emergence of a non-equilibrium spontaneous measure in the aging regime},
  journal = {Europhys. Lett.},
  year = {2004},
  volume = {66},
  number = {2},
  pages = {253},
  url = {http://stacks.iop.org/0295-5075/66/i=2/a=253},
  doi = {https://doi.org/10.1209/epl/i2003-10158-3}
}
Delamotte, B. A hint of renormalization 2004 Am. J. Phys.
Vol. 72(2), pp. 170-184 
article DOI URL 
BibTeX:
@article{Delamotte2004_vol72,
  author = {Delamotte, Bertrand},
  title = {A hint of renormalization},
  journal = {Am. J. Phys.},
  year = {2004},
  volume = {72},
  number = {2},
  pages = {170--184},
  url = {http://scitation.aip.org/content/aapt/journal/ajp/72/2/10.1119/1.1624112},
  doi = {https://doi.org/10.1119/1.1624112}
}
Derrida, B. Système hors d'équilibre 2004   unpublished  
BibTeX:
@unpublished{Notes_Derrida2004,
  author = {Derrida, B.},
  title = {Système hors d'équilibre},
  year = {2004},
  note = {Cours}
}
Gardiner, C. Handbook of Stochastic Methods: for Physics, Chemistry and the Natural Sciences 2004   book  
BibTeX:
@book{Gardiner2004_vol,
  author = {C. Gardiner},
  title = {Handbook of Stochastic Methods: for Physics, Chemistry and the Natural Sciences},
  publisher = {Springer, Berlin},
  year = {2004}
}
Gaspard, P. Fluctuation theorem for nonequilibrium reactions 2004 J. Chem. Phys.
Vol. 120(19), pp. 8898-8905 
article DOI  
BibTeX:
@article{Gaspard2004_vol120,
  author = {Gaspard, P},
  title = {Fluctuation theorem for nonequilibrium reactions},
  journal = {J. Chem. Phys.},
  year = {2004},
  volume = {120},
  number = {19},
  pages = {8898--8905},
  doi = {https://doi.org/10.1063/1.1688758}
}
Gaspard, P. Time-Reversed Dynamical Entropy and Irreversibility in Markovian Random Processes 2004 J. Stat. Phys.
Vol. 117, pp. 599-615 
article DOI URL 
BibTeX:
@article{Gaspard2004_vol117a,
  author = {Gaspard, P.},
  title = {Time-Reversed Dynamical Entropy and Irreversibility in Markovian Random Processes},
  journal = {J. Stat. Phys.},
  publisher = {Springer Netherlands},
  year = {2004},
  volume = {117},
  pages = {599--615},
  url = {http://dx.doi.org/10.1007/s10955-004-3455-1},
  doi = {https://doi.org/10.1007/s10955-004-3455-1}
}
Hestenes, D. New Foundations for Classical Mechanics 2004   book  
BibTeX:
@book{Book_Hestenes2004,
  author = {D. Hestenes},
  title = {New Foundations for Classical Mechanics},
  year = {2004},
  edition = {2}
}
Jarzynski, C. Nonequilibrium work theorem for a system strongly coupled to a thermal environment 2004 J. Stat. Mech: Theory Exp.
Vol. 2004(09), pp. P09005 
article URL 
Abstract: In a recent paper (2004 J.�Stat.�Mech.:�Theor.�Exp. P07006), Cohen
and Mauzerall (CM) have argued that the derivation of the nonequilibrium work
relation given in a previous work of Jarzynski (1997
Phys.�Rev.�Lett.�78 2690) is flawed. Here I attempt to answer their
criticisms, both by presenting a detailed version of that derivation and by
addressing specific objections raised by CM. The derivation presented here is
in fact somewhat stronger than the one I gave in 1997, as it does not rely on
the assumption of a weak coupling term connecting the system of interest and
its thermal environment.
BibTeX:
@article{Jarzynski2004_vol2004,
  author = {Jarzynski, C.},
  title = {Nonequilibrium work theorem for a system strongly coupled to a thermal environment},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2004},
  volume = {2004},
  number = {09},
  pages = {P09005},
  url = {http://stacks.iop.org/1742-5468/2004/i=09/a=P09005}
}
Kafri, Y., Lubensky, D.K. and Nelson, D.R. Dynamics of Molecular Motors and Polymer Translocation with Sequence Heterogeneity 2004 Biophys. J.
Vol. 86(6), pp. 3373-3391 
article DOI URL 
BibTeX:
@article{Kafri2004_vol86,
  author = {Yariv Kafri and David K. Lubensky and David R. Nelson},
  title = {Dynamics of Molecular Motors and Polymer Translocation with Sequence Heterogeneity},
  journal = {Biophys. J.},
  year = {2004},
  volume = {86},
  number = {6},
  pages = {3373--3391},
  url = {http://www.sciencedirect.com/science/article/pii/S0006349504743854},
  doi = {https://doi.org/10.1529/biophysj.103.036152}
}
Mayer, P. and Sollich, P. General solutions for multispin two-time correlation and response functions in the Glauber-Ising chain 2004 J. Phys. A: Math. Gen.
Vol. 37(1), pp. 9 
article URL 
Abstract: The kinetic Glauber?Ising spin chain is one of the very few exactly solvable
models of non-equilibrium statistical mechanics. Nevertheless, existing
solutions do not yield tractable expressions for two-time correlation and
response functions of observables involving products of more than one or two
spins. We use a new approach to solve explicitly the full hierarchy of
differential equations for the correlation and response functions. From this
general solution follow closed expressions for arbitrary multispin two-time
correlation and response functions, for the case where the system is quenched
from equilibrium at T i > 0 to some arbitrary T ? 0. By way of application,
we give the results for two- and four-spin two-time correlation and response
functions. From the standard mapping, these also imply new exact results for
two-time particle correlation and response functions in one-dimensional
diffusion limited annihilation.
BibTeX:
@article{Mayer2004_vol37,
  author = {Mayer, P. and Sollich, P.},
  title = {General solutions for multispin two-time correlation and response functions in the Glauber-Ising chain},
  journal = {J. Phys. A: Math. Gen.},
  year = {2004},
  volume = {37},
  number = {1},
  pages = {9},
  url = {http://stacks.iop.org/0305-4470/37/i=1/a=002}
}
Pluviose, M. Similitude des turbomachines hydrauliques 2004 Techniques de l'ingénieur  article  
BibTeX:
@article{Pluviose2004vol,
  author = {Michel Pluviose},
  title = {Similitude des turbomachines hydrauliques},
  journal = {Techniques de l'ingénieur},
  year = {2004},
  note = {Réf : BM4285 v1}
}
Ritort, F. Work and heat fluctuations in two-state systems: A trajectory thermodynamics formalism 2004 J. Stat. Mech: Theory Exp., pp. P10016  article DOI URL 
Abstract: Two-state models provide phenomenological descriptions of many different
systems, ranging from physics to chemistry and biology. We investigate work
fluctuations in an ensemble of two-state systems driven out of equilibrium
under the action of an external perturbation. We calculate the probability
density P N ( W ) that work equal to W is exerted upon the system (of size N
) along a given non-equilibrium trajectory and introduce a trajectory
thermodynamics formalism to quantify work fluctuations in the large- N limit.
We then define a trajectory entropy S N ( W ) that counts the number of
non-equilibrium trajectories P N ( W ) = exp( S N ( W )/ k B T ) with work
equal to W and characterizes fluctuations of work trajectories around the
most probable value W mp . A trajectory free energy F_N(W) can also be
defined, which has a minimum at W = W^+, this being the value of the work
that has to be efficiently sampled to quantitatively test the Jarzynski
equality. Within this formalism a Lagrange multiplier is also introduced, the
inverse of which plays the role of a trajectory temperature . Our general
solution for P N ( W ) exactly satisfies the fluctuation theorem by Crooks
and allows us to investigate heat fluctuations for a protocol that is
invariant under time reversal. The heat distribution is then characterized by
a Gaussian component (describing small and frequent heat exchange events) and
exponential tails (describing the statistics of large deviations and rare
events). For the latter, the width of the exponential tails is related to the
aforementioned trajectory temperature . Finite-size effects to the large- N
theory and the recovery of work distributions for finite N are also
discussed. Finally, we pay particular attention to the case of magnetic
nanoparticle systems under the action of a magnetic field H where work and
heat fluctuations are predicted to be observable in ramping experiments in
micro-SQUIDs.
BibTeX:
@article{Ritort2004_vol2004,
  author = {F. Ritort},
  title = {Work and heat fluctuations in two-state systems: A trajectory thermodynamics formalism},
  journal = {J. Stat. Mech: Theory Exp.},
  year = {2004},
  pages = {P10016},
  url = {http://stacks.iop.org/1742-5468/2004/i=10/a=P10016},
  doi = {https://doi.org/10.1088/1742-5468/2004/10/P10016}
}
Rovelli, C. Quantum Gravity 2004   book DOI  
BibTeX:
@book{Rovelli2004vol,
  author = {Rovelli, Carlo},
  title = {Quantum Gravity},
  publisher = {Cambridge University Press},
  year = {2004},
  doi = {https://doi.org/10.1017/CBO9780511755804}
}
Ruelle, D. Thermodynamic Formalism: The Mathematical Structures of Equilibrium Statistical Mechanics 2004   book  
BibTeX:
@book{Book_Ruelle2004,
  author = {Ruelle, D.},
  title = {Thermodynamic Formalism: The Mathematical Structures of Equilibrium Statistical Mechanics},
  publisher = {Cambridge University Press},
  year = {2004}
}
Schmeikal, B. Transposition in Clifford Algebra: SU(3) from Reorientation Invariance 2004 Clifford Algebras: Applications to Mathematics, Physics, and Engineering, pp. 351-372  inbook DOI URL 
BibTeX:
@inbook{Schmeikal2004vol,
  author = {Schmeikal, Bernd},
  title = {Transposition in Clifford Algebra: SU(3) from Reorientation Invariance},
  booktitle = {Clifford Algebras: Applications to Mathematics, Physics, and Engineering},
  publisher = {Birkhäuser Boston},
  year = {2004},
  pages = {351--372},
  url = {https://doi.org/10.1007/978-1-4612-2044-2_23},
  doi = {https://doi.org/10.1007/978-1-4612-2044-2_23}
}
Sun, S.X., Wang, H. and Oster, G. Asymmetry in the F1-ATPase and Its Implications for the Rotational Cycle 2004 Biophysical Journal
Vol. 86(3), pp. 1373-1384 
article DOI URL 
BibTeX:
@article{Sun2004vol86,
  author = {Sean X. Sun and Hongyun Wang and George Oster},
  title = {Asymmetry in the F1-ATPase and Its Implications for the Rotational Cycle},
  journal = {Biophysical Journal},
  year = {2004},
  volume = {86},
  number = {3},
  pages = {1373--1384},
  url = {http://www.sciencedirect.com/science/article/pii/S0006349504742083},
  doi = {https://doi.org/10.1016/S0006-3495(04)74208-3}
}
Toda, M., Kubo, R. and Saito, N. Statistical Physics I: Equilibrium Statistical Mechanics 2004
Vol. Volume 1 
book  
BibTeX:
@book{Book_Toda2004,
  author = {Toda, M. and Kubo, R. and Saito, N.},
  title = {Statistical Physics I: Equilibrium Statistical Mechanics},
  publisher = {Springer},
  year = {2004},
  volume = {Volume 1},
  edition = {2nd}
}
Trepagnier, E.H., Jarzynski, C., Ritort, F., Crooks, G.E., Bustamante, C.J. and Liphardt, J. Experimental test of Hatano and Sasa's nonequilibrium steady-state equality 2004 Proc. Natl. Acad. Sci. U.S.A.
Vol. 101(42), pp. 15038-15041 
article DOI  
Abstract: Most natural processes occur far from equilibrium and cannot be treated
within the framework of classical thermodynamics. In 1998, Oono and Paniconi
[Oono, Y. &amp; Paniconi, M. (1998) Prog. Theor. Phys. Suppl. 130, 29-44]
proposed a general phenomenological framework, steady-state thermodynamics,
encompassing nonequilibrium steady states and transitions between such
states. In 2001, Hatano and Sasa [Hatano, T. &amp; Sasa, S. (2001) Phys. Rev.
Lett. 86, 3463-3466] derived a testable prediction of this theory.
Specifically, they were able to show that the exponential average of Y, a
quantity similar to a dissipated work, should be equal to zero for arbitrary
transitions between nonequilibrium steady states, -In = 0. We have
tested this strong prediction by measuring the dissipation and fluctuations
of microspheres optically driven through water. We have found that -In
approximate to 0 for three different nonequilibrium systems, supporting
Hatano and Sasa's proposed extension of thermodynamics to arbitrary steady
states and irreversible transitions.
BibTeX:
@article{Trepagnier2004_vol101,
  author = {Trepagnier, E. H. and Jarzynski, C. and Ritort, F. and Crooks, G. E. and Bustamante, C. J. and Liphardt, J.},
  title = {Experimental test of Hatano and Sasa's nonequilibrium steady-state equality},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  publisher = {Natl Acad Sciences},
  year = {2004},
  volume = {101},
  number = {42},
  pages = {15038--15041},
  doi = {https://doi.org/10.1073/pnas.0406405101}
}
Villani, C. Convergence to equilibrium: entropy production and hypocoercivity 2004   article  
BibTeX:
@article{Villani2004_vol,
  author = {Villani, C.},
  title = {Convergence to equilibrium: entropy production and hypocoercivity},
  year = {2004}
}
van Zon, R. and Cohen, E.G.D. Extension of the Fluctuation Theorem 2003 Phys. Rev. Lett.
Vol. 91, pp. 110601 
article DOI URL 
BibTeX:
@article{Zon2003_vol91,
  author = {van Zon, R. and Cohen, E. G. D.},
  title = {Extension of the Fluctuation Theorem},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2003},
  volume = {91},
  pages = {110601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.91.110601},
  doi = {https://doi.org/10.1103/PhysRevLett.91.110601}
}
Geiges, H. Contact geometry 2003 Handbook of Differential Geometry vol. 2 (F.J.E. Dillen and L.C.A. Verstraelen, eds.), North-Holland, Amsterdam (2006), pp. 315-382  article  
Abstract: This is an introductory text on the more topological aspects of contact geometry, written for the Handbook of Differential Geometry vol. 2. After discussing (and proving) some of the fundamental results of contact topology (neighbourhood theorems, isotopy extension theorems, approximation theorems), I move on to a detailed exposition of the original proof of the Lutz-Martinet theorem. The text ends with a guide to the literature.
BibTeX:
@article{Geiges2003vol,
  author = {Hansjörg Geiges},
  title = {Contact geometry},
  journal = {Handbook of Differential Geometry vol. 2 (F.J.E. Dillen and L.C.A. Verstraelen, eds.), North-Holland, Amsterdam (2006), pp. 315-382},
  year = {2003}
}
Pilgram, S., Jordan, A.N., Sukhorukov, E.V. and Büttiker, M. Stochastic Path Integral Formulation of Full Counting Statistics 2003 Phys. Rev. Lett.
Vol. 90, pp. 206801 
article DOI URL 
BibTeX:
@article{Pilgram2003_vol90,
  author = {Pilgram, S. and Jordan, A. N. and Sukhorukov, E. V. and Büttiker, M.},
  title = {Stochastic Path Integral Formulation of Full Counting Statistics},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2003},
  volume = {90},
  pages = {206801},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.90.206801},
  doi = {https://doi.org/10.1103/PhysRevLett.90.206801}
}
Dellago, C. and Mukamel, S. Simulation strategies and signatures of chaos in classical nonlinear response 2003 Phys. Rev. E
Vol. 67, pp. 035205 
article  
BibTeX:
@article{Dellago2003_vol67,
  author = {Dellago, Christoph and Mukamel, Shaul},
  title = {Simulation strategies and signatures of chaos in classical nonlinear response},
  journal = {Phys. Rev. E},
  year = {2003},
  volume = {67},
  pages = {035205}
}
Adi Ben-Israel, T.N.G. Generalized Inverses: Theory and Applications 2003   book  
BibTeX:
@book{Book_BenIsrael2003,
  author = {Adi Ben-Israel, Thomas N.E. Greville},
  title = {Generalized Inverses: Theory and Applications},
  publisher = {Springer-Verlag, Berlin},
  year = {2003}
}
Barenblatt, G.I. Scaling 2003   book  
BibTeX:
@book{Book_Barenblatt2003,
  author = {Barenblatt, G. I.},
  title = {Scaling},
  publisher = {Cambridge University Press},
  year = {2003}
}
Brody, D.C. and Ritz, A. Information geometry of finite Ising models 2003 J. Geom. Phys.
Vol. 47(2?3), pp. 207-220 
article DOI URL 
BibTeX:
@article{Brody2003_vol47,
  author = {Brody, D. C. and Ritz, A.},
  title = {Information geometry of finite Ising models},
  journal = {J. Geom. Phys.},
  year = {2003},
  volume = {47},
  number = {2?3},
  pages = {207--220},
  url = {http://www.sciencedirect.com/science/article/pii/S0393044002001900},
  doi = {https://doi.org/10.1016/S0393-0440(02)00190-0}
}
Chatelain, C. A far-from-equilibrium fluctuation-dissipation relation for an Ising-Glauber-like model 2003 J. Phys. A: Math. Gen.
Vol. 36(43), pp. 10739-10753 
article DOI  
Abstract: We derive an exact expression of the response function to an infinitesimal
magnetic field for an Ising-Glauber-like model with arbitrary exchange
couplings. The result is expressed in terms of thermodynamic averages and
does not depend on the initial conditions or on the dimension of the space.
The response function is related to time-derivatives of a complicated
correlation function and so the expression is a generalization of the
equilibrium fluctuation-dissipation theorem in the special case of this
model. Correspondence with the Ising-Glauber model is discussed. A
discrete-time version of the relation is implemented in Monte Carlo
simulations and then used to study the ageing regime of the ferromagnetic
two-dimensional Ising-Glauber model quenched from the paramagnetic phase to
the ferromagnetic one. Our approach has the originality to give direct access
to the response function and the fluctuation-dissipation ratio.
BibTeX:
@article{Chatelain2003_vol36,
  author = {Chatelain, C.},
  title = {A far-from-equilibrium fluctuation-dissipation relation for an Ising-Glauber-like model},
  journal = {J. Phys. A: Math. Gen.},
  publisher = {Iop Publishing Ltd},
  year = {2003},
  volume = {36},
  number = {43},
  pages = {10739--10753},
  doi = {https://doi.org/10.1088/0305-4470/36/43/005}
}
Crisanti, A. and Ritort, F. Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence 2003 J. Phys. A: Math. Gen.
Vol. 36, pp. R181 
article DOI  
BibTeX:
@article{Crisanti2003_vol36,
  author = {A. Crisanti and F. Ritort},
  title = {Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence},
  journal = {J. Phys. A: Math. Gen.},
  year = {2003},
  volume = {36},
  pages = {R181},
  doi = {https://doi.org/10.1088/0305-4470/36/21/201}
}
Doran, C. and Lasenby, A. Geometric Algebra for Physicists 2003   book  
BibTeX:
@book{Book_Doran2003,
  author = {C. Doran and A. Lasenby},
  title = {Geometric Algebra for Physicists},
  publisher = {Cambridge University Press},
  year = {2003}
}
Fuchs, C.A. Quantum mechanics as quantum information, mostly 2003 J. Mod. Opt.
Vol. 50(6-7), pp. 987-1023 
article DOI URL 
BibTeX:
@article{Fuchs2003_vol50,
  author = {Christopher A. Fuchs},
  title = {Quantum mechanics as quantum information, mostly},
  journal = {J. Mod. Opt.},
  year = {2003},
  volume = {50},
  number = {6-7},
  pages = {987--1023},
  url = {http://www.tandfonline.com/doi/abs/10.1080/09500340308234548},
  doi = {https://doi.org/10.1080/09500340308234548}
}
Gore, J., Ritort, F. and Bustamante, C. Bias and error in estimates of equilibrium free-energy differences from nonequilibrium measurements 2003 Proc. Natl. Acad. Sci. U.S.A.
Vol. 100(22), pp. 12564-12569 
article DOI URL 
Abstract: In 1997, Jarzynski proved a remarkable equality that allows one to compute
the equilibrium free-energy difference ?F between two states from the
probability distribution of the nonequilibrium work W done on the system to
switch between the states, e??F/kT = ?e?W/kT?, [Jarzynski, C. (1997) Phys.
Rev. Lett. 87, 2690?2693]. The Jarzynski equality provides a powerful
free-energy difference estimator from a set of N irreversible experiments and
is closely related to free-energy perturbation, a common computational
technique for estimating free-energy differences. Despite the many
applications of the Jarzynski estimator, its behavior is only poorly
understood. In this article we derive the large N limit for the Jarzynski
estimator bias, variance, and mean square error that is correct for arbitrary
perturbations. We then analyze the properties of the Jarzynski estimator for
all N when the probability distribution of work values is Gaussian, as
occurs, for example, in the near-equilibrium regime. This allows us to
quantitatively compare it to two other free-energy difference estimators: the
mean work estimator and the fluctuation?dissipation theorem estimator. We
show that, for near-equilibrium switching, the Jarzynski estimator is always
superior to the mean work estimator and is even superior to the
fluctuation?dissipation estimator for small N. The Jarzynski-estimator bias
is shown to be the dominant source of error in many cases. Our expression for
the bias is used to develop a bias-corrected Jarzynski free-energy difference
estimator in the near-equilibrium regime.
BibTeX:
@article{Gore2003_vol100,
  author = {Gore, Jeff and Ritort, Felix and Bustamante, Carlos},
  title = {Bias and error in estimates of equilibrium free-energy differences from nonequilibrium measurements},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  year = {2003},
  volume = {100},
  number = {22},
  pages = {12564--12569},
  url = {http://www.pnas.org/content/100/22/12564.abstract},
  doi = {https://doi.org/10.1073/pnas.1635159100}
}
Hanney, T. and Evans, M.R. Einstein Relation for Nonequilibrium Steady States 2003 J. Stat. Phys.
Vol. 111, pp. 1377-1390 
article URL 
BibTeX:
@article{Hanney2003_vol111,
  author = {Hanney, T. and Evans, M. R.},
  title = {Einstein Relation for Nonequilibrium Steady States},
  journal = {J. Stat. Phys.},
  publisher = {Springer Netherlands},
  year = {2003},
  volume = {111},
  pages = {1377--1390},
  note = {10.1023/A:1023068619793},
  url = {http://dx.doi.org/10.1023/A:1023068619793}
}
Jaynes, E.T. and Bretthorst, G.L. Probability theory - the logic of science 2003   book  
BibTeX:
@book{Book_Jaynes2003,
  author = {Jaynes, E. T. and Bretthorst, G. L.},
  title = {Probability theory - the logic of science},
  publisher = {Cambridge University Press},
  year = {2003},
  edition = {CUP}
}
Maes, C. On the origin and the use of fluctuation relations for the entropy 2003 Poincaré Seminar, pp. 145  article  
BibTeX:
@article{Maes2003_vol,
  author = {C. Maes},
  title = {On the origin and the use of fluctuation relations for the entropy},
  journal = {Poincaré Seminar},
  year = {2003},
  pages = {145}
}
Maes, C. and Netocný, K. Time-reversal and entropy 2003 J. Stat. Phys.
Vol. 110(1-2), pp. 269-310 
article DOI  
Abstract: There is a relation between the irreversibility of thermodynamic processes as
expressed by the breaking of time-reversal symmetry, and the entropy
production in such processes. We explain on an elementary mathematical level
the relations between entropy production, phase-space contraction and
time-reversal starting from a deterministic dynamics. Both closed and open
systems, in the transient and in the steady regime, are considered. The main
result identifies under general conditions the statistical mechanical entropy
production as the source term of time-reversal breaking in the path space
measure for the evolution of reduced variables. This provides a general
algorithm for computing the entropy production and to understand in a unified
way a number of useful (in)equalities. We also discuss the Markov
approximation. Important are a number of old theoretical ideas for connecting
the microscopic dynamics with thermodynamic behavior.
BibTeX:
@article{Maes2003_vol110,
  author = {Maes, C. and Netocný, K.},
  title = {Time-reversal and entropy},
  journal = {J. Stat. Phys.},
  publisher = {Kluwer Academic/plenum Publ},
  year = {2003},
  volume = {110},
  number = {1-2},
  pages = {269--310},
  doi = {https://doi.org/10.1023/A:1021026930129}
}
Ricci-Tersenghi, F. Measuring the fluctuation-dissipation ratio in glassy systems with no perturbing field 2003 Phys. Rev. E
Vol. 68(6), pp. 065104 
article DOI  
BibTeX:
@article{Ricci-Tersenghi2003_vol68,
  author = {Ricci-Tersenghi, F.},
  title = {Measuring the fluctuation-dissipation ratio in glassy systems with no perturbing field},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2003},
  volume = {68},
  number = {6},
  pages = {065104},
  doi = {https://doi.org/10.1103/PhysRevE.68.065104}
}
Ruelle, D.P. Extending the definition of entropy to nonequilibrium steady states 2003 Proceedings of the National Academy of Sciences
Vol. 100(6), pp. 3054-3058 
article DOI URL 
BibTeX:
@article{Ruelle2003_vol100,
  author = {Ruelle, David P.},
  title = {Extending the definition of entropy to nonequilibrium steady states},
  journal = {Proceedings of the National Academy of Sciences},
  year = {2003},
  volume = {100},
  number = {6},
  pages = {3054--3058},
  url = {http://www.pnas.org/content/100/6/3054.abstract},
  doi = {https://doi.org/10.1073/pnas.0630567100}
}
Touchette, H. Equivalence and nonequivalence of the microcanonical and canonical ensembles : a large deviations study 2003 School: PhD Thesis Department of Physics, McGill University  phdthesis URL 
Abstract: This thesis presents an in-depth study of statistical mechanical systems
having microcanonical equilibrium properties, i.e., energy-dependent
equilibrium properties, which cannot be put in correspondence with their
canonical or temperature-dependent equilibrium properties. A general theory
of these systems which focuses both on the thermodynamic and macrostate
levels of description of systems is presented along the lines of a number of
rigorous results derived recently by Ellis, Haven and Turkington (Journal of
Statistical Physics, 2000). Several new results are also presented which
relate the appearance of nonequivalent microcanonical and canonical
properties with first-order (discontinuous) phase transitions and with
nonequilibrium properties of systems. Since the material presented in this
thesis dwells on many elements of large deviations theory which are not
familiar to physicists, a self-contained introduction to this theory has been
included here. The presentation of the theory of nonequivalent microcanonical
and canonical properties follows together with explicit computations carried
out in the context of two simple spin models: a first original model
involving a mixture of completely correlated and completely uncorrelated
spins, and another model known as the mean-field Blume-Emery-Griffiths model.
BibTeX:
@phdthesis{Touchette2003_vol,
  author = {Touchette, H.},
  title = {Equivalence and nonequivalence of the microcanonical and canonical ensembles : a large deviations study},
  school = {PhD Thesis Department of Physics, McGill University},
  year = {2003},
  url = {http://digitool.Library.McGill.CA:80/R/-?func=dbin-jump-full&amp;object_id=84851&amp;silo_library=GEN01}
}
Zee, A. Quantum Field Theory in a Nutshell 2003   book  
BibTeX:
@book{Book_Zee2003,
  author = {Zee, A.},
  title = {Quantum Field Theory in a Nutshell},
  publisher = {Princeton University Press},
  year = {2003}
}
van Zon, R. and Cohen, E.G.D. Stationary and transient work-fluctuation theorems for a dragged Brownian particle 2003 Phys. Rev. E
Vol. 67(4), pp. 046102 
article DOI  
BibTeX:
@article{Zon2003_vol67,
  author = {van Zon, R. and Cohen, E. G. D.},
  title = {Stationary and transient work-fluctuation theorems for a dragged Brownian particle},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2003},
  volume = {67},
  number = {4},
  pages = {046102},
  doi = {https://doi.org/10.1103/PhysRevE.67.046102}
}
van der Zwan, G. Kramer's Equation, low and high friction limits 2003   unpublished  
BibTeX:
@unpublished{Notes_Zwan2003,
  author = {van der Zwan, G.},
  title = {Kramer's Equation, low and high friction limits},
  year = {2003}
}
Anderson, R. and Martin, J. Energy balance problems in systems of induced and permanent electric and magnetic dipoles 2002 Am. J. Phys.
Vol. {70}({12}), pp. {1194-1204} 
article DOI  
Abstract: There are many problems where a detailed understanding of the interaction
energy of systems of dipoles is needed, including electrorheological and
magnetorheological fluids, ferrofluids, magnetic composites, and dielectrics.
We have constructed soluble microscopic problems involving electric and
magnetic dipoles to investigate energy balance, and have come to some
understanding of the proper form of the dipolar free energy in aggregations
of induced or permanent dipoles and mixtures thereof. The resulting equations
clarify misconceptions sometimes found in the literature, and lead to greater
intuition about the subtle aspects of the dipolar interactions. We discuss
the application of these equations to dipole simulations to extract the
dipole energy and material dielectric constant. (C) 2002 American Association
of Physics Teachers.
BibTeX:
@article{Anderson2002_vol70,
  author = {Anderson, RA and Martin, JE},
  title = {Energy balance problems in systems of induced and permanent electric and magnetic dipoles},
  journal = {Am. J. Phys.},
  publisher = {AMER ASSOC PHYSICS TEACHERS AMER INST PHYSICS},
  year = {2002},
  volume = {70},
  number = {12},
  pages = {1194--1204},
  doi = {https://doi.org/10.1119/1.1507793}
}
Hitzer, E.M.S. Multivector differential calculus 2002 Advances in Applied Clifford Algebras
Vol. 12(2), pp. 135-182 
article DOI  
BibTeX:
@article{Hitzer2002vol12,
  author = {Eckhard M. S. Hitzer},
  title = {Multivector differential calculus},
  journal = {Advances in Applied Clifford Algebras},
  publisher = {Springer Science and Business Media LLC},
  year = {2002},
  volume = {12},
  number = {2},
  pages = {135--182},
  doi = {https://doi.org/10.1007/bf03161244}
}
Palmowski, Z. and Rolski, T. A technique for exponential change of measure for Markov processes 2002 Bernoulli
Vol. 8(6), pp. 767-785 
article URL 
BibTeX:
@article{Palmowski2002_vol8,
  author = {Palmowski, Zbigniew and Rolski, Tomasz},
  title = {A technique for exponential change of measure for Markov processes},
  journal = {Bernoulli},
  publisher = {Bernoulli Society for Mathematical Statistics and Probability},
  year = {2002},
  volume = {8},
  number = {6},
  pages = {767--785},
  url = {https://projecteuclid.org:443/euclid.bj/1076364805}
}
Mézard, M. and Zecchina, R. Random K-satisfiability problem: From an analytic solution to an efficient algorithm 2002 Phys. Rev. E
Vol. 66, pp. 056126 
article DOI URL 
BibTeX:
@article{Mezard2002_vol66,
  author = {Mézard, M. and Zecchina, R.},
  title = {Random K-satisfiability problem: From an analytic solution to an efficient algorithm},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2002},
  volume = {66},
  pages = {056126},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.66.056126},
  doi = {https://doi.org/10.1103/PhysRevE.66.056126}
}
Bena, I., Van den Broeck, C., Kawai, R. and Lindenberg, K. Nonlinear response with dichotomous noise 2002 Phys. Rev. E
Vol. 66, pp. 045603 
article DOI URL 
BibTeX:
@article{Bena2002_vol66,
  author = {Bena, I. and Van den Broeck, C. and Kawai, R. and Lindenberg, Katja},
  title = {Nonlinear response with dichotomous noise},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2002},
  volume = {66},
  pages = {045603},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.66.045603},
  doi = {https://doi.org/10.1103/PhysRevE.66.045603}
}
Humphrey, T.E., Newbury, R., Taylor, R.P. and Linke, H. Reversible Quantum Brownian Heat Engines for Electrons 2002 Phys. Rev. Lett.
Vol. 89, pp. 116801 
article DOI URL 
BibTeX:
@article{Humphrey2002_vol89,
  author = {Humphrey, T. E. and Newbury, R. and Taylor, R. P. and Linke, H.},
  title = {Reversible Quantum Brownian Heat Engines for Electrons},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2002},
  volume = {89},
  pages = {116801},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.89.116801},
  doi = {https://doi.org/10.1103/PhysRevLett.89.116801}
}
Deserno, M. and von Grünberg, H.-H. Osmotic pressure of charged colloidal suspensions: A unified approach to linearized Poisson-Boltzmann theory 2002 Phys. Rev. E
Vol. 66, pp. 011401 
article DOI URL 
BibTeX:
@article{Deserno2002_vol66,
  author = {Deserno, Markus and von Grünberg, Hans-Hennig},
  title = {Osmotic pressure of charged colloidal suspensions: A unified approach to linearized Poisson-Boltzmann theory},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2002},
  volume = {66},
  pages = {011401},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.66.011401},
  doi = {https://doi.org/10.1103/PhysRevE.66.011401}
}
Wang, G.M., Sevick, E.M., Mittag, E., Searles, D.J. and Evans, D.J. Experimental Demonstration of Violations of the Second Law of Thermodynamics for Small Systems and Short Time Scales 2002 Phys. Rev. Lett.
Vol. 89, pp. 050601 
article DOI URL 
BibTeX:
@article{Wang2002_vol89,
  author = {Wang, G. M. and Sevick, E. M. and Mittag, Emil and Searles, Debra J. and Evans, Denis J.},
  title = {Experimental Demonstration of Violations of the Second Law of Thermodynamics for Small Systems and Short Time Scales},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2002},
  volume = {89},
  pages = {050601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.89.050601},
  doi = {https://doi.org/10.1103/PhysRevLett.89.050601}
}
Bertini, L., De Sole, A., Gabrielli, D., Jona-Lasinio, G. and Landim, C. Macroscopic Fluctuation Theory for Stationary Non-Equilibrium States 2002 J. Stat. Phys.
Vol. 107, pp. 635-675 
article DOI URL 
BibTeX:
@article{Bertini2002_vol107,
  author = {Bertini, L. and De Sole, A. and Gabrielli, D. and Jona-Lasinio, G. and Landim, C.},
  title = {Macroscopic Fluctuation Theory for Stationary Non-Equilibrium States},
  journal = {J. Stat. Phys.},
  publisher = {Springer Netherlands},
  year = {2002},
  volume = {107},
  pages = {635--675},
  url = {http://dx.doi.org/10.1023/A:1014525911391},
  doi = {https://doi.org/10.1023/A:1014525911391}
}
Breuer, H.-P. and Petruccione, F. The theory of open quantum systems 2002   book  
Comment: Read chapter 3 to know the derivation of Master equation from the quantum
hamiltonien
BibTeX:
@book{Book_Breuer2002,
  author = {Breuer, H.-P. and Petruccione, F.},
  title = {The theory of open quantum systems},
  publisher = {Oxford university press},
  year = {2002}
}
Caillol, J.-M. The density functional theory of classical fluids revisited 2002 J. Phys. A: Math. Gen.
Vol. 35(19), pp. 4189 
article URL 
BibTeX:
@article{Caillol2002_vol35,
  author = {J-M Caillol},
  title = {The density functional theory of classical fluids revisited},
  journal = {J. Phys. A: Math. Gen.},
  year = {2002},
  volume = {35},
  number = {19},
  pages = {4189},
  url = {http://stacks.iop.org/0305-4470/35/i=19/a=301}
}
Dill, K.A. and Bromberg, S. Molecular Driving Forces: Statistical Thermodynamics in Chemistry and Biology 2002   book  
BibTeX:
@book{Book_Dill2002,
  author = {Dill, K. A. and Bromberg, S.},
  title = {Molecular Driving Forces: Statistical Thermodynamics in Chemistry and Biology},
  publisher = {Garland Science},
  year = {2002}
}
Dorst, L. The Inner Products of Geometric Algebra 2002 Applications of Geometric Algebra in Computer Science and Engineering, pp. 35-46  inbook DOI URL 
Abstract: Making derived products out of the geometric product requires care in
consistency. We show how a split based on outer product and scalar product
necessitates a slightly different inner product than usual. We demonstrate
the use and geometric significance of this contraction, and show how it
simplifies treatment of meet and join. We also derive the sufficient
condition for covariance of expressions involving outer and inner products.
BibTeX:
@inbook{Dorst2002vol,
  author = {Dorst, Leo},
  title = {The Inner Products of Geometric Algebra},
  booktitle = {Applications of Geometric Algebra in Computer Science and Engineering},
  publisher = {Birkhäuser Boston},
  year = {2002},
  pages = {35--46},
  url = {https://doi.org/10.1007/978-1-4612-0089-5_2},
  doi = {https://doi.org/10.1007/978-1-4612-0089-5_2}
}
Evans, D. and Searles, D. The Fluctuation Theorem 2002 Adv. Phys.
Vol. 51, pp. 1529-1585 
article DOI  
BibTeX:
@article{Evans2002_vol51,
  author = {Evans, D.J. and Searles, D.J.},
  title = {The Fluctuation Theorem},
  journal = {Adv. Phys.},
  year = {2002},
  volume = {51},
  pages = {1529--1585},
  doi = {https://doi.org/10.1080/00018730210155133}
}
Farago, J. Injected Power Fluctuations in Langevin Equation 2002 J. Stat. Phys.
Vol. 107(3-4), pp. 781-803 
article DOI  
BibTeX:
@article{Farago2002_vol107,
  author = {Farago, J.},
  title = {Injected Power Fluctuations in Langevin Equation},
  journal = {J. Stat. Phys.},
  publisher = {Kluwer Academic Publishers-Plenum Publishers},
  year = {2002},
  volume = {107},
  number = {3-4},
  pages = {781--803},
  doi = {https://doi.org/10.1023/A:1014538214117}
}
Gaspard, P. The correlation time of mesoscopic chemical clocks 2002 The Journal of Chemical Physics
Vol. 117(19), pp. 8905-8916 
article DOI URL 
BibTeX:
@article{Gaspard2002_vol117,
  author = {Pierre Gaspard},
  title = {The correlation time of mesoscopic chemical clocks},
  journal = {The Journal of Chemical Physics},
  year = {2002},
  volume = {117},
  number = {19},
  pages = {8905--8916},
  url = {http://dx.doi.org/10.1063/1.1513461},
  doi = {https://doi.org/10.1063/1.1513461}
}
Gaspard, P. Trace Formula for Noisy Flows 2002 J. Stat. Phys.
Vol. 106(1-2), pp. 57-96 
article DOI URL 
BibTeX:
@article{Gaspard2002_vol106,
  author = {Gaspard, Pierre},
  title = {Trace Formula for Noisy Flows},
  journal = {J. Stat. Phys.},
  publisher = {Kluwer Academic Publishers-Plenum Publishers},
  year = {2002},
  volume = {106},
  number = {1-2},
  pages = {57--96},
  url = {http://dx.doi.org/10.1023/A%3A1013167928166},
  doi = {https://doi.org/10.1023/A:1013167928166}
}
Hestenes, D. Point Groups and Space Groups in Geometric Algebra 2002 Applications of Geometric Algebra in Computer Science and Engineering, pp. 3-34  inbook DOI URL 
Abstract: Geometric algebra provides the essential foundation for a new approach to
symmetry groups. Each of the 32 lattice point groups and 230 space groups in
three dimensions is generated from a set of three symmetry vectors. This
greatly facilitates representation, analysis and application of the groups to
molecular modeling and crystallography.
BibTeX:
@inbook{Hestenes2002,
  author = {Hestenes, David},
  title = {Point Groups and Space Groups in Geometric Algebra},
  booktitle = {Applications of Geometric Algebra in Computer Science and Engineering},
  publisher = {Birkhäuser Boston},
  year = {2002},
  pages = {3--34},
  url = {https://doi.org/10.1007/978-1-4612-0089-5_1},
  doi = {https://doi.org/10.1007/978-1-4612-0089-5_1}
}
Liphardt, J., Dumont, S., Smith, S.B., Jr., I.T. and Bustamante, C. Equilibrium Information from Nonequilibrium Measurements in an Experimental Test of Jarzynski's Equality 2002 Science
Vol. 296, pp. 1832-1835 
article DOI  
BibTeX:
@article{Liphardt2002_vol296,
  author = {Liphardt, J. and Dumont, S. and Smith, S. B. and Ignacio Tinoco Jr. and Bustamante, C.},
  title = {Equilibrium Information from Nonequilibrium Measurements in an Experimental Test of Jarzynski's Equality},
  journal = {Science},
  year = {2002},
  volume = {296},
  pages = {1832--1835},
  doi = {https://doi.org/10.1126/science.1071152}
}
M�zard, M., Parisi, G. and Zecchina, R. Analytic and Algorithmic Solution of Random Satisfiability Problems 2002 Science
Vol. 297(5582), pp. 812-815 
article DOI  
BibTeX:
@article{Mezard2002_vol,
  author = {M�zard, M. and Parisi, G. and Zecchina, R.},
  title = {Analytic and Algorithmic Solution of Random Satisfiability Problems},
  journal = {Science},
  year = {2002},
  volume = {297},
  number = {5582},
  pages = {812--815},
  doi = {https://doi.org/10.1126/science.1073287}
}
Mallick, K. and Marcq, P. Anomalous diffusion in nonlinear oscillators with multiplicative noise 2002 Phys. Rev. E
Vol. 66(4), pp. 041113 
article DOI  
BibTeX:
@article{Mallick2002_vol66,
  author = {Mallick, K. and Marcq, P.},
  title = {Anomalous diffusion in nonlinear oscillators with multiplicative noise},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2002},
  volume = {66},
  number = {4},
  pages = {041113},
  doi = {https://doi.org/10.1103/PhysRevE.66.041113}
}
Mannella, R. Integration of stochastic differential equations on a computer 2002 Int. J. Mod. Phys. C
Vol. 13(9), pp. 1177-1194 
article URL 
Abstract: A brief introduction to the simulation of stochastic differential equations
is presented. Algorithms to simulate rare fluctuations, a topic of interest
in the light of recent theoretical work on optimal paths are studied.
Problems connected to the treatment of the boundaries and correlated noise
will also be discussed.
BibTeX:
@article{Mannella2002_vol13,
  author = {Mannella, R.},
  title = {Integration of stochastic differential equations on a computer},
  journal = {Int. J. Mod. Phys. C},
  publisher = {World Scientific Publ Co Pte Ltd},
  year = {2002},
  volume = {13},
  number = {9},
  pages = {1177--1194},
  url = {http://www.df.unipi.it/ mannella/papers/algorithms/SDE_on_a_computer.pdf}
}
Pinsky, M.A. Introduction to Fourier Analysis and Wavelets 2002   book  
BibTeX:
@book{Book_Pinsky2002,
  author = {Pinsky, M. A.},
  title = {Introduction to Fourier Analysis and Wavelets},
  publisher = {American Mathematical Society},
  year = {2002}
}
Ross, J., Hunt, K.L.C. and Vlad, M.O. Determination of Thermodynamic and Stochastic Potentials in Nonequilibrium Systems from Macroscopic Measurements 2002 J. Phys. Chem. A
Vol. 106(45), pp. 10951-10960 
article DOI URL 
BibTeX:
@article{Ross2002_vol106,
  author = {Ross, John and Hunt, Katharine L. C. and Vlad, Marcel O.},
  title = {Determination of Thermodynamic and Stochastic Potentials in Nonequilibrium Systems from Macroscopic Measurements},
  journal = {J. Phys. Chem. A},
  year = {2002},
  volume = {106},
  number = {45},
  pages = {10951--10960},
  url = {http://dx.doi.org/10.1021/jp020736d},
  doi = {https://doi.org/10.1021/jp020736d}
}
Sokolov, I.M. Solutions of a class of non-Markovian Fokker-Planck equations 2002 Phys. Rev. E
Vol. 66(4), pp. 041101 
article DOI  
BibTeX:
@article{Sokolov2002_vol66,
  author = {Sokolov, I. M.},
  title = {Solutions of a class of non-Markovian Fokker-Planck equations},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2002},
  volume = {66},
  number = {4},
  pages = {041101},
  doi = {https://doi.org/10.1103/PhysRevE.66.041101}
}
Martzel, N. and Aslangul, C. Mean-field treatment of the many-body Fokker–Planck equation 2001 Journal of Physics A: Mathematical and General
Vol. 34(50), pp. 11225-11240 
article DOI  
BibTeX:
@article{Martzel2001vol34,
  author = {Nicolas Martzel and Claude Aslangul},
  title = {Mean-field treatment of the many-body Fokker–Planck equation},
  journal = {Journal of Physics A: Mathematical and General},
  publisher = {IOP Publishing},
  year = {2001},
  volume = {34},
  number = {50},
  pages = {11225--11240},
  doi = {https://doi.org/10.1088/0305-4470/34/50/305}
}
Kamenev, A. Keldysh and Doi-Peliti Techniques for out-of-Equilibrium Systems 2001 eprint arXiv:cond-mat/0109316  article  
BibTeX:
@article{Kamenev2001_vol,
  author = {Kamenev, A.},
  title = {Keldysh and Doi-Peliti Techniques for out-of-Equilibrium Systems},
  journal = {eprint arXiv:cond-mat/0109316},
  year = {2001}
}
Brandt, F. Gauge theories of spacetime symmetries 2001 Physical Review D
Vol. 64(6), pp. 065025 
article DOI  
BibTeX:
@article{Brandt2001vol64,
  author = {Friedemann Brandt},
  title = {Gauge theories of spacetime symmetries},
  journal = {Physical Review D},
  publisher = {American Physical Society (APS)},
  year = {2001},
  volume = {64},
  number = {6},
  pages = {065025},
  doi = {https://doi.org/10.1103/physrevd.64.065025}
}
Bertini, L., De Sole, A., Gabrielli, D., Jona-Lasinio, G. and Landim, C. Fluctuations in Stationary Nonequilibrium States of Irreversible Processes 2001 Phys. Rev. Lett.
Vol. 87, pp. 040601 
article DOI URL 
BibTeX:
@article{Bertini2001_vol87,
  author = {Bertini, L. and De Sole, A. and Gabrielli, D. and Jona-Lasinio, G. and Landim, C.},
  title = {Fluctuations in Stationary Nonequilibrium States of Irreversible Processes},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2001},
  volume = {87},
  pages = {040601},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.87.040601},
  doi = {https://doi.org/10.1103/PhysRevLett.87.040601}
}
Hartmann, S. Effective Field Theories, Reductionism and Scientific Explanation 2001 Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
Vol. 32(2), pp. 267-304 
article DOI  
BibTeX:
@article{Hartmann2001vol32,
  author = {Stephan Hartmann},
  title = {Effective Field Theories, Reductionism and Scientific Explanation},
  journal = {Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics},
  publisher = {Elsevier BV},
  year = {2001},
  volume = {32},
  number = {2},
  pages = {267--304},
  doi = {https://doi.org/10.1016/s1355-2198(01)00005-3}
}
Marsden, J.E. and West, M. Discrete mechanics and variational integrators 2001 Acta Numerica 2001
Vol. 10, pp. 357-514 
article DOI  
BibTeX:
@article{Marsden2001_vol10,
  author = {J. E. Marsden and M. West},
  title = {Discrete mechanics and variational integrators},
  journal = {Acta Numerica 2001},
  publisher = {Cambridge University Press (CUP)},
  year = {2001},
  volume = {10},
  pages = {357--514},
  doi = {https://doi.org/10.1017/S096249290100006X}
}
Bockris, J.O., Gamboa-Aldeco, M.E. and Reddy, A.K.N. Volume 2A: Modern Electrochemistry 2001   book URL 
BibTeX:
@book{Bockris2001vol2a,
  author = {Bockris, John O'M. and Gamboa-Aldeco, Maria E. and Reddy, Amulya K. N.},
  title = {Volume 2A: Modern Electrochemistry},
  publisher = {Springer US},
  year = {2001},
  url = {https://www.ebook.de/de/product/3683148/john_o_m_bockris_maria_e_gamboa_aldeco_amulya_k_n_reddy_modern_electrochemistry_2a.html}
}
John O'M. Bockris, A.K.N.R. Volume 2B: Modern Electrochemistry 2001   book URL 
BibTeX:
@book{Bockris2001vol2b,
  author = {John O'M. Bockris, Amulya K. N. Reddy},
  title = {Volume 2B: Modern Electrochemistry},
  publisher = {Springer US},
  year = {2001},
  url = {https://www.ebook.de/de/product/3679123/john_o_m_bockris_amulya_k_n_reddy_modern_electrochemistry_2b.html}
}
Chen, J., Yan, Z., Lin, G. and Andresen, B. On the Curzon-Ahlborn efficiency and its connection with the efficiencies of real heat engines 2001 Energy Convers. Manage.
Vol. 42(2), pp. 173-181 
article DOI URL 
BibTeX:
@article{Chen2001_vol42,
  author = {J. Chen and Z. Yan and G. Lin and B. Andresen},
  title = {On the Curzon-Ahlborn efficiency and its connection with the efficiencies of real heat engines},
  journal = {Energy Convers. Manage.},
  year = {2001},
  volume = {42},
  number = {2},
  pages = {173--181},
  url = {http://www.sciencedirect.com/science/article/B6V2P-40XNWBV-4/2/404e0d910ef8a68058f9ec0d9d63a088},
  doi = {https://doi.org/10.1016/S0196-8904(00)00055-8}
}
Cleuren, B. and den Broeck, C.V. Ising model for a Brownian donkey 2001 Europhys. Lett.
Vol. 54(1), pp. 1 
article URL 
BibTeX:
@article{Cleuren2001_vol54,
  author = {B. Cleuren and C. Van den Broeck},
  title = {Ising model for a Brownian donkey},
  journal = {Europhys. Lett.},
  year = {2001},
  volume = {54},
  number = {1},
  pages = {1},
  url = {http://stacks.iop.org/0295-5075/54/i=1/a=001}
}
Debenedetti, P.G. and Stillinger, F.H. Supercooled liquids and the glass transition 2001 Nature  article URL 
BibTeX:
@article{Debenedetti2001_vol,
  author = {Debenedetti, Pablo G. and Stillinger, Frank H.},
  title = {Supercooled liquids and the glass transition},
  journal = {Nature},
  year = {2001},
  url = {http://dx.doi.org/10.1038/35065704}
}
Engel, A. and Van Den Broeck, C. Statistical Mechanics of Learning 2001   book  
BibTeX:
@book{Book_Engel2001,
  author = {Engel, A. and Van Den Broeck, C.},
  title = {Statistical Mechanics of Learning},
  publisher = {Cambridge University Press},
  year = {2001}
}
Goldstein, H. Classical Mechanics 2001   book  
BibTeX:
@book{Book_Goldstein2001,
  author = {H. Goldstein},
  title = {Classical Mechanics},
  year = {2001},
  edition = {3rd}
}
Hatano, T. and Sasa, S.I. Steady-State Thermodynamics of Langevin Systems 2001 Phys. Rev. Lett.
Vol. 86(16), pp. 3463-3466 
article DOI  
BibTeX:
@article{Hatano2001_vol86,
  author = {Hatano, T. and Sasa, S. I.},
  title = {Steady-State Thermodynamics of Langevin Systems},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2001},
  volume = {86},
  number = {16},
  pages = {3463--3466},
  doi = {https://doi.org/10.1103/PhysRevLett.86.3463}
}
Hummer, G. and Szabo, A. Free energy reconstruction from nonequilibrium single-molecule pulling experiments 2001 Proc. Natl. Acad. Sci. U.S.A.
Vol. 98(7), pp. 3658-3661 
article DOI  
BibTeX:
@article{Hummer2001_vol98,
  author = {Hummer, G. and Szabo, A.},
  title = {Free energy reconstruction from nonequilibrium single-molecule pulling experiments},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  year = {2001},
  volume = {98},
  number = {7},
  pages = {3658--3661},
  doi = {https://doi.org/10.1073/pnas.071034098}
}
Hunter, R. Foundations of colloid science 2001   book  
BibTeX:
@book{Book_Hunter2001,
  author = {Hunter, R.J.},
  title = {Foundations of colloid science},
  publisher = {Oxford University Press},
  year = {2001},
  edition = {2nd}
}
Jones, E., Oliphant, T., Peterson, P. and others SciPy: Open source scientific tools for Python 2001   misc URL 
BibTeX:
@misc{Jones2001_vol,
  author = {E. Jones and T. Oliphant and P. Peterson and others},
  title = {SciPy: Open source scientific tools for Python},
  year = {2001},
  url = {http://www.scipy.org/}
}
Lewis, A., Doran, C. and Lasenby, A. 2001 International Journal of Theoretical Physics
Vol. 40(1), pp. 363-376 
article DOI  
BibTeX:
@article{Lewis2001vol40,
  author = {Lewis, Antony and Doran, Chris and Lasenby, Anthony},
  journal = {International Journal of Theoretical Physics},
  publisher = {Springer Science and Business Media LLC},
  year = {2001},
  volume = {40},
  number = {1},
  pages = {363--376},
  doi = {https://doi.org/10.1023/a:1003716301776}
}
Malrieu, F. Inégalité de Sobolev logarithmiques pour des problèmes d'évolution non linéaires 2001 School: Université Paul Sabatier, Toulouse III  phdthesis  
BibTeX:
@phdthesis{Malrieu2001vol,
  author = {Florent Malrieu},
  title = {Inégalité de Sobolev logarithmiques pour des problèmes d'évolution non linéaires},
  school = {Université Paul Sabatier, Toulouse III},
  year = {2001}
}
Martin, P., Hudspeth, A.J. and Jülicher, F. Comparison of a hair bundle's spontaneous oscillations with its response to mechanical stimulation reveals the underlying active process 2001 Proc. Natl. Acad. Sci. U.S.A.
Vol. 98(25), pp. 14380-14385 
article DOI  
Abstract: Hearing relies on active filtering to achieve exquisite sensitivity and sharp
frequency selectivity. In a quiet environment, the ears of many vertebrates
become unstable and emit one to several tones. These spontaneous otoacoustic
emissions, the most striking manifestation of the inner ear's active process,
must result from self-sustained mechanical oscillations of aural
constituents. The mechanoreceptive hair bundles of hair cells in the
bullfrog's sacculus have the ability to amplify mechanical stimuli and
oscillate spontaneously. By comparing a hair bundle's spontaneous
oscillations with its response to small mechanical stimuli, we demonstrate a
breakdown in a general principle of equilibrium thermodynamics, the
fluctuation-dissipation theorem. We thus confirm that a hair bundle's
spontaneous movements are produced by energy-consuming elements within the
hair cell. To characterize the dynamical behavior of the active process, we
introduce an effective temperature that, for each frequency component,
quantifies a hair bundle's deviation from thermal equilibrium. The effective
temperature diverges near the bundle's frequency of spontaneous oscillation.
This behavior, which is not generic for active oscillators, can be
accommodated by a simple model that characterizes quantitatively the
fluctuations of the spontaneous movements as well as the hair bundle's linear
response function.
BibTeX:
@article{Martin2001_vol98,
  author = {Martin, P. and Hudspeth, A. J. and Jülicher, F.},
  title = {Comparison of a hair bundle's spontaneous oscillations with its response to mechanical stimulation reveals the underlying active process},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  publisher = {NATL ACAD SCIENCES},
  year = {2001},
  volume = {98},
  number = {25},
  pages = {14380--14385},
  doi = {https://doi.org/10.1073/pnas.251530598}
}
Vilar, J.M.G. and Rub\i, J.M. Thermodynamics “beyond” local equilibrium 2001 Proc. Natl. Acad. Sci.
Vol. 98(20), pp. 11081-11084 
article DOI URL 
Abstract: Nonequilibrium thermodynamics has shown its applicability in a wide variety
of different situations pertaining to fields such as physics, chemistry,
biology, and engineering. As successful as it is, however, its current
formulation considers only systems close to equilibrium, those satisfying the
so-called local equilibrium hypothesis. Here we show that diffusion processes
that occur far away from equilibrium can be viewed as at local equilibrium in
a space that includes all the relevant variables in addition to the spatial
coordinate. In this way, nonequilibrium thermodynamics can be used and the
difficulties and ambiguities associated with the lack of a thermodynamic
description disappear. We analyze explicitly the inertial effects in
diffusion and outline how the main ideas can be applied to other situations.
BibTeX:
@article{Vilar2001_vol98,
  author = {Vilar, J. M. G. and Rub\i, J. M.},
  title = {Thermodynamics “beyond” local equilibrium},
  journal = {Proc. Natl. Acad. Sci.},
  publisher = {National Academy of Sciences},
  year = {2001},
  volume = {98},
  number = {20},
  pages = {11081--11084},
  url = {http://www.pnas.org/content/98/20/11081},
  doi = {https://doi.org/10.1073/pnas.191360398}
}
Yasuda, R., Noji, H., Yoshida, M., Kinosita, K. and Itoh, H. Resolution of distinct rotational substeps by submillisecond kinetic analysis of F1-ATPase 2001 Nature
Vol. 410, pp. 898-904 
article DOI  
BibTeX:
@article{Yasuda2001_vol410,
  author = {Yasuda, R. and Noji, H. and Yoshida, M. and Kinosita, K. and Itoh, H.},
  title = {Resolution of distinct rotational substeps by submillisecond kinetic analysis of F1-ATPase},
  journal = {Nature},
  year = {2001},
  volume = {410},
  pages = {898--904},
  doi = {https://doi.org/10.1038/35073513}
}
Zwanzig, R. Nonequilibrium Statistical Mechanics 2001   book  
BibTeX:
@book{Zwanzig2001_vol,
  author = {R. Zwanzig},
  title = {Nonequilibrium Statistical Mechanics},
  year = {2001}
}
Heinzl, T. Light-Cone Quantization: Foundations and Applications 2000 Lect.Notes Phys. 572 (2001) 55-142  article  
Abstract: These lecture notes review the foundations and some applications of light-cone quantization. First I explain how to choose a time in special relativity. Inclusion of Poincare invariance naturally leads to Dirac's forms of relativistic dynamics. Among these, the front form, being the basis for light-cone quantization, is my main focus. I explain a few of its peculiar features such as boost and Galilei invariance or separation of relative and center-of-mass motion. Combining light-cone dynamics and field quantization results in light-cone quantum field theory. As the latter represents a first-order system, quantization is somewhat nonstandard. I address this issue using Schwinger's quantum action principle, the method of Faddeev and Jackiw, and the functional Schroedinger picture. A finite-volume formulation, discretized light-cone quantization, is analysed in detail. I point out some problems with causality, which are absent in infinite volume. Finally, the triviality of the light-cone vacuum is established. Coming to applications, I introduce the notion of light-cone wave functions as the solutions of the light-cone Schroedinger equation. I discuss some examples, among them nonrelativistic Coulomb systems and model field theories in two dimensions. Vacuum properties (like chiral condensates) are reconstructed from the particle spectrum obtained by solving the light-cone Schroedinger equation. In a last application, I make contact with phenomenology by calculating the pion wave function within the Nambu and Jona-Lasinio model. I am thus able to predict a number of observables like the pion charge and core radius, the r.m.s. transverse momentum, the pion structure function and the pion distribution amplitude. The latter turns out to be the asymptotic one.
BibTeX:
@article{Heinzl2000vol,
  author = {T. Heinzl},
  title = {Light-Cone Quantization: Foundations and Applications},
  journal = {Lect.Notes Phys. 572 (2001) 55-142},
  year = {2000}
}
Porto, M., Urbakh, M. and Klafter, J. Atomic Scale Engines: Cars and Wheels 2000 Phys. Rev. Lett.
Vol. 84, pp. 6058-6061 
article DOI URL 
BibTeX:
@article{Porto2000_vol84,
  author = {Porto, Markus and Urbakh, Michael and Klafter, Joseph},
  title = {Atomic Scale Engines: Cars and Wheels},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2000},
  volume = {84},
  pages = {6058--6061},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.84.6058},
  doi = {https://doi.org/10.1103/PhysRevLett.84.6058}
}
FARAGGI, A.E. and MATONE, M. THE EQUIVALENCE POSTULATE OF QUANTUM MECHANICS 2000 International Journal of Modern Physics A
Vol. 15(13), pp. 1869-2017 
article DOI  
BibTeX:
@article{FARAGGI2000vol15,
  author = {ALON E. FARAGGI and MARCO MATONE},
  title = {THE EQUIVALENCE POSTULATE OF QUANTUM MECHANICS},
  journal = {International Journal of Modern Physics A},
  publisher = {World Scientific Pub Co Pte Lt},
  year = {2000},
  volume = {15},
  number = {13},
  pages = {1869--2017},
  doi = {https://doi.org/10.1142/s0217751x00000811}
}
Oster, G. and Wang, H. Reverse engineering a protein: the mechanochemistry of ATP synthase {2000} BIOCHIMICA ET BIOPHYSICA ACTA-BIOENERGETICS
Vol. {1458}({2-3}), pp. {482-510} 
article DOI  
Abstract: ATP synthase comprises two rotary motors in one. The F-1 motor can generate
a mechanical torque using the hydrolysis energy of ATP. The F-0 motor
generates a rotary torque in the opposite direction, but it employs a
transmembrane proton motive force. Each motor can be reversed: The F-0 motor
can drive the F-1 motor in reverse to synthesize ATP, and the F-1 motor can
drive the F-0 motor in reverse to pump protons. Thus ATP synthase exhibits
two of the major energy transduction pathways employed by the cell to convert
chemical energy into mechanical force. Here we show how a physical analysis
of the F-1 and F-0 motors can provide a unified view of the mechanochemical
principles underlying these energy transducers.
BibTeX:
@article{Oster2000vol1458,
  author = {Oster, G and Wang, HY},
  title = {Reverse engineering a protein: the mechanochemistry of ATP synthase},
  journal = {BIOCHIMICA ET BIOPHYSICA ACTA-BIOENERGETICS},
  year = {2000},
  volume = {1458},
  number = {2-3},
  pages = {482--510},
  doi = {https://doi.org/10.1016/S0005-2728(00)00096-7}
}
Oster, G., Wang, H. and Grabe, M. How Fo-ATPase generates rotary torque 2000 Philosophical transactions of the Royal Society of London. Series B, Biological sciences
Vol. 355, pp. 523-8 
article DOI  
BibTeX:
@article{Oster2000vol355,
  author = {Oster, George and Wang, Hongyun and Grabe, Michael},
  title = {How Fo-ATPase generates rotary torque},
  journal = {Philosophical transactions of the Royal Society of London. Series B, Biological sciences},
  year = {2000},
  volume = {355},
  pages = {523--8},
  doi = {https://doi.org/10.1098/rstb.2000.0593}
}
Scott, W. Tri-maximal vs. bi-maximal neutrino mixing 2000 Nuclear Physics B - Proceedings Supplements
Vol. 85(1-3), pp. 177-182 
article DOI  
BibTeX:
@article{Scott2000vol85,
  author = {W.G. Scott},
  title = {Tri-maximal vs. bi-maximal neutrino mixing},
  journal = {Nuclear Physics B - Proceedings Supplements},
  publisher = {Elsevier BV},
  year = {2000},
  volume = {85},
  number = {1-3},
  pages = {177--182},
  doi = {https://doi.org/10.1016/s0920-5632(00)00503-x}
}
Barkai, E., Metzler, R. and Klafter, J. From continuous time random walks to the fractional Fokker-Planck equation 2000 Phys. Rev. E
Vol. 61, pp. 132-138 
article DOI URL 
BibTeX:
@article{Barkai2000_vol61,
  author = {Barkai, E. and Metzler, R. and Klafter, J.},
  title = {From continuous time random walks to the fractional Fokker-Planck equation},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2000},
  volume = {61},
  pages = {132--138},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.61.132},
  doi = {https://doi.org/10.1103/PhysRevE.61.132}
}
Argaman, N. and Makov, G. Density functional theory: An introduction 2000 Am. J. Phys.
Vol. 68(1), pp. 69-79 
review DOI URL 
BibTeX:
@review{Argaman2000_vol68,
  author = {Argaman, Nathan and Makov, Guy},
  title = {Density functional theory: An introduction},
  journal = {Am. J. Phys.},
  year = {2000},
  volume = {68},
  number = {1},
  pages = {69--79},
  url = {http://scitation.aip.org/content/aapt/journal/ajp/68/1/10.1119/1.19375},
  doi = {https://doi.org/10.1119/1.19375}
}
Blommaert, G. Étude du comportement dynamique des turbines Francis : contrôle actif de leur stabilité de fonctionnement 2000 School: Lausanne, EPFL  phdthesis  
BibTeX:
@phdthesis{Blommaert2000vol,
  author = {Gino Blommaert},
  title = {Étude du comportement dynamique des turbines Francis : contrôle actif de leur stabilité de fonctionnement},
  school = {Lausanne, EPFL},
  year = {2000}
}
Caticha, A. Insufficient reason and entropy in quantum theory 2000 Foundation of Physics
Vol. 30, pp. 227-251 
article URL 
BibTeX:
@article{Caticha1998_vol,
  author = {Caticha, A.},
  title = {Insufficient reason and entropy in quantum theory},
  journal = {Foundation of Physics},
  year = {2000},
  volume = {30},
  pages = {227--251},
  url = {http://arxiv.org/abs/quant-ph/9810074}
}
Crooks, G.E. Path-ensemble averages in systems driven far from equilibrium 2000 Phys. Rev. E
Vol. 61(3), pp. 2361-2366 
article DOI  
BibTeX:
@article{Crooks2000_vol61,
  author = {Crooks, G. E.},
  title = {Path-ensemble averages in systems driven far from equilibrium},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2000},
  volume = {61},
  number = {3},
  pages = {2361--2366},
  doi = {https://doi.org/10.1103/PhysRevE.61.2361}
}
Godrèche, C. and Luck, J.M. Response of non-equilibrium systems at criticality: Exact results for the Glauber-Ising chain 2000 J. Phys. A: Math. Gen.
Vol. 33(6), pp. 1151 
article URL 
Abstract: We investigate the non-equilibrium two-time correlation and response
functions and the associated fluctuation-dissipation ratio for the
ferromagnetic Ising chain with Glauber dynamics. The scaling behaviour of
these quantities at low temperature and large times is studied in detail.
This analysis encompasses the self-similar domain-growth (aging) regime, the
spatial and temporal Porod regimes, and the convergence toward equilibrium.
The fluctuation-dissipation ratio admits a non-trivial limit value at zero
temperature, and more generally in the aging regime.
BibTeX:
@article{Godreche2000_vol33,
  author = {C. Godrèche and J. M. Luck},
  title = {Response of non-equilibrium systems at criticality: Exact results for the Glauber-Ising chain},
  journal = {J. Phys. A: Math. Gen.},
  year = {2000},
  volume = {33},
  number = {6},
  pages = {1151},
  url = {http://stacks.iop.org/0305-4470/33/i=6/a=305}
}
Godrèche, C. and Luck, J.M. Response of non-equilibrium systems at criticality: Ferromagnetic models in dimension two and above 2000 J. Phys. A: Math. Gen.
Vol. 33(50), pp. 9141 
article URL 
Abstract: We study the dynamics of ferromagnetic spin systems quenched from infinite
temperature to their critical point. We perform an exact analysis of the
spherical model in any dimension D >2 and numerical simulations on the
two-dimensional Ising model. These systems are shown to be ageing in the
long-time regime, i.e. their two-time autocorrelation and response
functions, and associated fluctuation-dissipation ratio, are non-trivial
scaling functions of both time variables. We show in particular that, for 1<<
s (waiting time) << t (observation time), the fluctuation-dissipation ratio
possesses a non-trivial limit value X, which appears as a dimensionless
amplitude ratio, and is therefore a novel universal characteristic of
non-equilibrium critical dynamics. For the spherical model, we obtain X= 1-2/
D for 24 (mean-field regime). For the two-dimensional Ising model we measure
X   0.26±0.01.
BibTeX:
@article{Godreche2000_vol33a,
  author = {C. Godrèche and J. M. Luck},
  title = {Response of non-equilibrium systems at criticality: Ferromagnetic models in dimension two and above},
  journal = {J. Phys. A: Math. Gen.},
  year = {2000},
  volume = {33},
  number = {50},
  pages = {9141},
  note = {1},
  url = {http://stacks.iop.org/0305-4470/33/i=50/a=302}
}
Grabe, M., Wang, H. and Oster, G. The Mechanochemistry of V-ATPase Proton Pumps 2000 Biophysical Journal
Vol. 78(6), pp. 2798-2813 
article DOI URL 
Abstract: The vacuolar H+-ATPases (V-ATPases) are a universal class of proton pumps
that are structurally similar to the F-ATPases. Both protein families are
characterized by a membrane-bound segment (Vo, Fo) responsible for the
translocation of protons, and a soluble portion, (V1, F1), which supplies the
energy for translocation by hydrolyzing ATP. Here we present a
mechanochemical model for the functioning of the Vo ion pump that is
consistent with the known structural features and biochemistry. The model
reproduces a variety of experimental measurements of performance and provides
a unified view of the many mechanisms of intracellular pH regulation.
BibTeX:
@article{Grabe2000vol78,
  author = {Michael Grabe and Hongyun Wang and George Oster},
  title = {The Mechanochemistry of V-ATPase Proton Pumps},
  journal = {Biophysical Journal},
  year = {2000},
  volume = {78},
  number = {6},
  pages = {2798--2813},
  url = {http://www.sciencedirect.com/science/article/pii/S0006349500768238},
  doi = {https://doi.org/10.1016/S0006-3495(00)76823-8}
}
Lippiello, E. and Zannetti, M. Fluctuation dissipation ratio in the one-dimensional kinetic Ising model 2000 Phys. Rev. E
Vol. 61(4), pp. 3369-3374 
article DOI  
BibTeX:
@article{Lippiello2000_vol61,
  author = {Lippiello, E. and Zannetti, M.},
  title = {Fluctuation dissipation ratio in the one-dimensional kinetic Ising model},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2000},
  volume = {61},
  number = {4},
  pages = {3369--3374},
  doi = {https://doi.org/10.1103/PhysRevE.61.3369}
}
MacCluer, C.R. The Many Proofs and Applications of Perron's Theorem 2000 SIAM Rev.
Vol. 42(3), pp. 487-498 
article DOI URL 
BibTeX:
@article{MacCluer2000_vol42,
  author = {C. R. MacCluer},
  title = {The Many Proofs and Applications of Perron's Theorem},
  journal = {SIAM Rev.},
  year = {2000},
  volume = {42},
  number = {3},
  pages = {487--498},
  url = {http://dx.doi.org/10.1137/S0036144599359449},
  doi = {https://doi.org/10.1137/S0036144599359449}
}
Maes, C., Redig, F. and Van Moffaert, A. On the definition of entropy production, via examples 2000 J. Math. Phys.
Vol. 41, pp. 1528 
article DOI  
BibTeX:
@article{Maes2000_vol41,
  author = {Maes, C. and Redig, F. and Van Moffaert, A.},
  title = {On the definition of entropy production, via examples},
  journal = {J. Math. Phys.},
  year = {2000},
  volume = {41},
  pages = {1528},
  doi = {https://doi.org/10.1063/1.533195}
}
Searles D., J. and Evans, D.J. The fluctuation theorem and Green-Kubo relations 2000 J. Chem. Phys.
Vol. 112(22), pp. 9727-9735 
article DOI URL 
BibTeX:
@article{Searles2000_vol,
  author = {Searles D. J. and Evans, D. J.},
  title = {The fluctuation theorem and Green-Kubo relations},
  journal = {J. Chem. Phys.},
  year = {2000},
  volume = {112},
  number = {22},
  pages = {9727--9735},
  url = {https://doi.org/10.1063/1.481610},
  doi = {https://doi.org/10.1063/1.481610}
}
Crooks, G.E. Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences 1999 Phys. Rev. E
Vol. 60, pp. 2721-2726 
article DOI URL 
BibTeX:
@article{Crooks1999_vol60,
  author = {Crooks, Gavin E.},
  title = {Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {1999},
  volume = {60},
  pages = {2721--2726},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.60.2721},
  doi = {https://doi.org/10.1103/PhysRevE.60.2721}
}
Parmeggiani, A., Jülicher, F., Ajdari, A. and Prost, J. Energy transduction of isothermal ratchets: Generic aspects and specific examples close to and far from equilibrium 1999 Phys. Rev. E
Vol. 60, pp. 2127-2140 
article DOI URL 
BibTeX:
@article{Parmeggiani1999_vol60,
  author = {Parmeggiani, A. and Jülicher, F. and Ajdari, A. and Prost, J.},
  title = {Energy transduction of isothermal ratchets: Generic aspects and specific examples close to and far from equilibrium},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {1999},
  volume = {60},
  pages = {2127--2140},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.60.2127},
  doi = {https://doi.org/10.1103/PhysRevE.60.2127}
}
Jarzynski, C. and Mazonka, O. Feynman's ratchet and pawl: An exactly solvable model 1999 Phys. Rev. E
Vol. 59, pp. 6448-6459 
article DOI URL 
BibTeX:
@article{Jarzynski1999_vol59,
  author = {Jarzynski, C. and Mazonka, O.},
  title = {Feynman's ratchet and pawl: An exactly solvable model},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {1999},
  volume = {59},
  pages = {6448--6459},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.59.6448},
  doi = {https://doi.org/10.1103/PhysRevE.59.6448}
}
Daems, D. and Nicolis, G. Entropy production and phase space volume contraction 1999 Phys. Rev. E
Vol. 59, pp. 4000-4006 
article DOI URL 
BibTeX:
@article{Daems1999_vol59,
  author = {Daems, D. and Nicolis, G.},
  title = {Entropy production and phase space volume contraction},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {1999},
  volume = {59},
  pages = {4000--4006},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.59.4000},
  doi = {https://doi.org/10.1103/PhysRevE.59.4000}
}
Fung, M. and Wang, Y. E(2) invariant gauge fields on the plane {1999} CHINESE JOURNAL OF PHYSICS
Vol. {37}({1}), pp. {1-7} 
article  
Abstract: We use the Lie derivative method to find solutions of E(2) invariant gauge
fields on the plane. The gauge groups U(1) and SU(2) are considered.
Nontrivial field configurations are obtained.
BibTeX:
@article{Fung1999vol37,
  author = {Fung, MK and Wang, YF},
  title = {E(2) invariant gauge fields on the plane},
  journal = {CHINESE JOURNAL OF PHYSICS},
  publisher = {PHYSICAL SOC REPUBLIC CHINA},
  year = {1999},
  volume = {37},
  number = {1},
  pages = {1--7}
}
Amann, A. and Atmanspacher, H. Introductory remarks on large deviation statistics 1999 Journal of Scientific Exploration
Vol. 13(4), pp. 639-664 
article  
BibTeX:
@article{Amann1999vol13,
  author = {Amann, Anton and Atmanspacher, Harald},
  title = {Introductory remarks on large deviation statistics},
  journal = {Journal of Scientific Exploration},
  year = {1999},
  volume = {13},
  number = {4},
  pages = {639--664}
}
Bena, I. and den Broeck, C.V. Coupled parametric oscillators 1999 Europhys. Lett.
Vol. 48(5), pp. 498 
article URL 
Abstract: The region of collective parametric instability for a set of coupled
oscillators, subjected to periodic block pulses with random phases, is
calculated analytically in the mean-field limit. An extremely rich phase
diagram is obtained, with the instability appearing in a much wider region
than that of the individual parametric resonance, and persisting in the
overdamped limit.
BibTeX:
@article{Bena1999_vol48,
  author = {I. Bena and C. Van den Broeck},
  title = {Coupled parametric oscillators},
  journal = {Europhys. Lett.},
  year = {1999},
  volume = {48},
  number = {5},
  pages = {498},
  url = {http://stacks.iop.org/0295-5075/48/i=5/a=498}
}
Berthier, L., Barrat, J. and Kurchan, J. Response function of coarsening systems 1999 Eur. Phys. J. B
Vol. 11(4), pp. 635-641 
article DOI URL 
BibTeX:
@article{Berthier1999_vol11,
  author = {Berthier, L. and Barrat, J.L. and Kurchan, J.},
  title = {Response function of coarsening systems},
  journal = {Eur. Phys. J. B},
  year = {1999},
  volume = {11},
  number = {4},
  pages = {635--641},
  url = {http://dx.doi.org/10.1007/s100510051192},
  doi = {https://doi.org/10.1007/s100510051192}
}
Born, M. and Wolf, E. Principles of Optics 1999   book  
BibTeX:
@book{Book_Born1999_vol,
  author = {Born, M. and Wolf, E.},
  title = {Principles of Optics},
  publisher = {Cambridge University Press},
  year = {1999},
  edition = {6th}
}
Diehl, A., Tamashiro, M., Barbosa, M. and Levin, Y. Density-functional theory for attraction between like-charged plates 1999 Phys. A
Vol. 274(3?4), pp. 433-445 
article DOI URL 
BibTeX:
@article{Diehl1999_vol274,
  author = {Diehl, A. and Tamashiro, M.N. and Barbosa, M.C. and Levin, Y.},
  title = {Density-functional theory for attraction between like-charged plates},
  journal = {Phys. A},
  year = {1999},
  volume = {274},
  number = {3?4},
  pages = {433--445},
  url = {http://www.sciencedirect.com/science/article/pii/S037843719900374X},
  doi = {https://doi.org/10.1016/S0378-4371(99)00374-X}
}
Duffait, R. and Lievre, J. Expérience d'électronique 1999   book  
BibTeX:
@book{Book_Duffait1999,
  author = {R. Duffait and J.P. Lievre},
  title = {Expérience d'électronique},
  publisher = {BR�AL},
  year = {1999}
}
Frenkel, D. Entropy-driven phase transitions 1999 Physica A
Vol. 263(1), pp. 26-38 
article DOI URL 
Abstract: Increase in visible order can be associated with an increase in microscopic
disorder. This phenomenon leads to many counter-intuitive phenomena such as
entropy driven crystallization and phase separation. I devote special
attention to the entropic depletion interaction as a means to tune the range
of attraction between colloids. The range of the intermolecular potential
determines whether or not stable liquid-vapor coexistence is possible. For
short range attraction, the liquid-vapor transition may be located below the
sublimation line. Under those conditions, meta-stable critical fluctuations
may enhance the rate of crystal nucleation
BibTeX:
@article{Frenkel1999_vol263,
  author = {Daan Frenkel},
  title = {Entropy-driven phase transitions},
  journal = {Physica A},
  year = {1999},
  volume = {263},
  number = {1},
  pages = {26--38},
  url = {http://www.sciencedirect.com/science/article/pii/S0378437198005019},
  doi = {https://doi.org/10.1016/S0378-4371(98)00501-9}
}
Gallavotti, G. Statistical Mechanics: A Short Treatise 1999   book  
BibTeX:
@book{Book_Gallavotti1999,
  author = {Giovanni Gallavotti},
  title = {Statistical Mechanics: A Short Treatise},
  publisher = {Springer},
  year = {1999},
  edition = {1st Edition.}
}
Gaspard, P. and Nagaoka, M. Slippage of initial conditions for the Redfield master equation 1999 J. Chem. Phys.
Vol. 111(13), pp. 5668-5675 
article DOI URL 
BibTeX:
@article{Gaspard1999_vol111,
  author = {Gaspard, P. and Nagaoka, M.},
  title = {Slippage of initial conditions for the Redfield master equation},
  journal = {J. Chem. Phys.},
  year = {1999},
  volume = {111},
  number = {13},
  pages = {5668--5675},
  url = {http://scitation.aip.org/content/aip/journal/jcp/111/13/10.1063/1.479867},
  doi = {https://doi.org/10.1063/1.479867}
}
Hertz, G.Z. and Stormo, G.D. Identifying DNA and protein patterns with statistically significant alignments of multiple sequences. 1999 Bioinformatics
Vol. 15(7), pp. 563-577 
article DOI URL 
Abstract: MOTIVATION: Molecular biologists frequently can obtain interesting insight by
aligning a set of related DNA, RNA or protein sequences. Such alignments can
be used to determine either evolutionary or functional relationships. Our
interest is in identifying functional relationships. Unless the sequences are
very similar, it is necessary to have a specific strategy for measuring-or
scoring-the relatedness of the aligned sequences. If the alignment is not
known, one can be determined by finding an alignment that optimizes the
scoring scheme. RESULTS: We describe four components to our approach for
determining alignments of multiple sequences. First, we review a
log-likelihood scoring scheme we call information content. Second, we
describe two methods for estimating the P value of an individual information
content score: (i) a method that combines a technique from large-deviation
statistics with numerical calculations; (ii) a method that is exclusively
numerical. Third, we describe how we count the number of possible alignments
given the overall amount of sequence data. This count is multiplied by the P
value to determine the expected frequency of an information content score
and, thus, the statistical significance of the corresponding alignment.
Statistical significance can be used to compare alignments having differing
widths and containing differing numbers of sequences. Fourth, we describe a
greedy algorithm for determining alignments of functionally related
sequences. Finally, we test the accuracy of our P value calculations, and
give an example of using our algorithm to identify binding sites for the
Escherichia coli CRP protein. AVAILABILITY: Programs were developed under the
UNIX operating system and are available by anonymous ftp from
ftp://beagle.colorado.edu/pub/consensus.
BibTeX:
@article{Hertz1999_vol15,
  author = {Hertz, G Z and Stormo, G D},
  title = {Identifying DNA and protein patterns with statistically significant alignments of multiple sequences.},
  journal = {Bioinformatics},
  year = {1999},
  volume = {15},
  number = {7},
  pages = {563--577},
  url = {http://bioinformatics.oxfordjournals.org/content/15/7/563.abstract},
  doi = {https://doi.org/10.1093/bioinformatics/15.7.563}
}
Lebowitz, J.L. and Spohn, H. A Gallavotti-Cohen-Type Symmetry in the Large Deviation Functional for Stochastic Dynamics 1999 J. Stat. Phys.
Vol. 95, pp. 333 
article DOI  
BibTeX:
@article{Lebowitz1999_vol95,
  author = {J. L. Lebowitz and H. Spohn},
  title = {A Gallavotti-Cohen-Type Symmetry in the Large Deviation Functional for Stochastic Dynamics},
  journal = {J. Stat. Phys.},
  year = {1999},
  volume = {95},
  pages = {333},
  doi = {https://doi.org/10.1023/A:1004589714161}
}
Lubensky, D.K. and Nelson, D.R. Driven polymer translocation through a narrow pore 1999 Biophys. J.
Vol. 77(4), pp. 1824-1838 
article DOI  
Abstract: Motivated by experiments in which a polynucleotide is driven through a
proteinaceous pore by an electric field, we study the diffusive motion of a
polymer threaded through a narrow channel with which it may have strong
interactions. We show that there is a range of polymer lengths in which the
system is approximately translationally invariant, and we develop a
coarse-grained description of this regime. From this description, general
features of the distribution of times for the polymer to pass through the
pore may be deduced. We also introduce a more microscopic model. This model
provides a physically reasonable scenario in which, as in experiments, the
polymer's speed depends sensitively on its chemical composition, and even on
its orientation in the channel. Finally, we point out that the experimental
distribution of times for the polymer to pass through the pore is much
broader than expected from simple estimates, and speculate on why this might
be.
BibTeX:
@article{Lubensky1999_vol77,
  author = {Lubensky, D. K. and Nelson, D. R.},
  title = {Driven polymer translocation through a narrow pore},
  journal = {Biophys. J.},
  publisher = {Biophysical Society},
  year = {1999},
  volume = {77},
  number = {4},
  pages = {1824--1838},
  doi = {https://doi.org/10.1016/S0006-3495(99)77027-X}
}
Metzler, R., Barkai, E. and Klafter, J. Deriving fractional Fokker-Planck equations from a generalised master equation 1999 Europhys. Lett.
Vol. 46(4), pp. 431 
article URL 
Abstract: A generalised master equation is constructed from a non-homogeneous random
walk scheme. It is shown how fractional Fokker-Planck equations for the
description of anomalous diffusion in external fields, recently proposed in
the literature, can be derived from this framework. Long-tailed waiting time
distributions which cause slowly decaying memory effects, are demonstrated to
give rise to a time-fractional Fokker-Planck equation that describes systems
close to thermal equilibrium. An extension to include also Lévy flights
leads to a generalised Laplacian in the corresponding fractional
Fokker-Planck equation.
BibTeX:
@article{Metzler1999_vol46,
  author = {R. Metzler and E. Barkai and J. Klafter},
  title = {Deriving fractional Fokker-Planck equations from a generalised master equation},
  journal = {Europhys. Lett.},
  year = {1999},
  volume = {46},
  number = {4},
  pages = {431},
  url = {http://stacks.iop.org/0295-5075/46/i=4/a=431}
}
Ohshima, H. Approximate expression for the potential energy of double-layer interaction between two parallel similar plates with constant surface potential 1999 Colloids Surf., A
Vol. 146(1?3), pp. 213-216 
article DOI URL 
BibTeX:
@article{Ohshima1999_vol146,
  author = {Ohshima, H.},
  title = {Approximate expression for the potential energy of double-layer interaction between two parallel similar plates with constant surface potential},
  journal = {Colloids Surf., A},
  year = {1999},
  volume = {146},
  number = {1?3},
  pages = {213--216},
  url = {http://www.sciencedirect.com/science/article/pii/S0927775798007249},
  doi = {https://doi.org/10.1016/S0927-7757(98)00724-9}
}
Talkner, P. Stochastic resonance in the semiadiabatic limit 1999 New J. Phys.
Vol. 1(1), pp. 4 
article URL 
Abstract: Periodically driven Markovian processes are treated in the semiadiabatic
limit. In this limit all but one characteristic times of the undriven system
are fast compared to the driving frequency. The proposed theory is based on
the Floquet representation of the conditional probability and makes use of
the instantaneous bases of eigenfunctions of the corresponding forward and
backward master operators. The methodology is exemplified with the standard
Brownian motion model of stochastic resonance. Quantitative agreement is
reached with known results in the fully adiabatic limit and in the regime of
linear response theory.
BibTeX:
@article{Talkner1999_vol1,
  author = {Peter Talkner},
  title = {Stochastic resonance in the semiadiabatic limit},
  journal = {New J. Phys.},
  year = {1999},
  volume = {1},
  number = {1},
  pages = {4},
  url = {http://stacks.iop.org/1367-2630/1/i=1/a=004}
}
Derrida, B. An exactly soluble non-equilibrium system: the asymmetric simple exclusion process 1998 Phys. Rep.
Vol. 301(1-3), pp. 65-83 
article DOI  
BibTeX:
@article{Derrida1998_vol301,
  author = {Derrida, B.},
  title = {An exactly soluble non-equilibrium system: the asymmetric simple exclusion process},
  journal = {Phys. Rep.},
  publisher = {Elsevier BV},
  year = {1998},
  volume = {301},
  number = {1-3},
  pages = {65--83},
  doi = {https://doi.org/10.1016/s0370-1573(98)00006-4}
}
John O'M. Bockris, A.K.N.R. Volume 1: Modern Electrochemistry 1998   book URL 
BibTeX:
@book{Bockris1998vol1,
  author = {John O'M. Bockris, Amulya K. N. Reddy},
  title = {Volume 1: Modern Electrochemistry},
  publisher = {Springer US},
  year = {1998},
  url = {https://www.ebook.de/de/product/3242244/john_o_m_bockris_amulya_k_n_reddy_volume_1_modern_electrochemistry.html}
}
Gammaitoni, L., Hänggi, P., Jung, P. and Marchesoni, F. Stochastic resonance 1998 Rev. Mod. Phys.
Vol. 70, pp. 223-287 
article DOI URL 
BibTeX:
@article{Gammaitoni1998_vol70,
  author = {Gammaitoni, L. and Hänggi, P. and Jung, P. and Marchesoni, F.},
  title = {Stochastic resonance},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {1998},
  volume = {70},
  pages = {223--287},
  url = {http://link.aps.org/doi/10.1103/RevModPhys.70.223},
  doi = {https://doi.org/10.1103/RevModPhys.70.223}
}
A. Dembo, O.Z. Large Deviations Techniques and Applications 1998   book  
BibTeX:
@book{AmirDembo1998_vol,
  author = {A. Dembo, O. Zeitouni},
  title = {Large Deviations Techniques and Applications},
  publisher = {Springer, Berlin},
  year = {1998}
}
Caticha, A. Consistency and linearity in quantum theory 1998 Phys. Lett. A
Vol. 244, pp. 13-17 
article DOI  
BibTeX:
@article{Caticha1998_vol244,
  author = {Caticha, A.},
  title = {Consistency and linearity in quantum theory},
  journal = {Phys. Lett. A},
  year = {1998},
  volume = {244},
  pages = {13--17},
  doi = {https://doi.org/10.1016/S0375-9601(98)00289-8}
}
Caticha, A. Consistency, amplitudes, and probabilities in quantum theory 1998 Phys. Rev. A
Vol. 57, pp. 1572-1582 
article DOI  
BibTeX:
@article{Caticha1998_vol57,
  author = {Caticha, A.},
  title = {Consistency, amplitudes, and probabilities in quantum theory},
  journal = {Phys. Rev. A},
  year = {1998},
  volume = {57},
  pages = {1572--1582},
  doi = {https://doi.org/10.1103/PhysRevA.57.1572}
}
Eyink, G.L. Action Principle in Statistical Dynamics 1998 Progress of Theoretical Physics Supplement
Vol. 130, pp. 77-86 
article DOI  
BibTeX:
@article{Eyink1998_vol130,
  author = {Eyink, Gregory L.},
  title = {Action Principle in Statistical Dynamics},
  journal = {Progress of Theoretical Physics Supplement},
  year = {1998},
  volume = {130},
  pages = {77--86},
  doi = {https://doi.org/10.1143/PTPS.130.77}
}
Hand, L.N. and Finch, J.D. Analytical mechanics 1998   book  
BibTeX:
@book{Book_Hand1998,
  author = {Hand, L. N. and Finch, J. D.},
  title = {Analytical mechanics},
  publisher = {Cambridge University Press},
  year = {1998}
}
Kubo, R., Toda, M. and Hashitsume, N. Statistical Physics II: Nonequilibrium Statistical Mechanics 1998   book  
BibTeX:
@book{Book_Kubo1998,
  author = {Kubo, R. and Toda, M. and Hashitsume, N.},
  title = {Statistical Physics II: Nonequilibrium Statistical Mechanics},
  publisher = {Springer, Berlin},
  year = {1998}
}
Kurchan, K. Fluctuation theorem for stochastic dynamics 1998 J. Phys. A: Math. Gen.
Vol. 31(16), pp. 3719 
article DOI  
Abstract: The fluctuation theorem of Gallavotti and Cohen holds for finite systems
undergoing Langevin dynamics. In such a context all non-trivial ergodic
theory issues are bypassed, and the theorem takes a particularly simple form.
As a particular case, we obtain a nonlinear fluctuation-dissipation theorem
valid for equilibrium systems perturbed by arbitrarily strong fields.
BibTeX:
@article{Kurchan1998_vol31,
  author = {Kurchan, K.},
  title = {Fluctuation theorem for stochastic dynamics},
  journal = {J. Phys. A: Math. Gen.},
  year = {1998},
  volume = {31},
  number = {16},
  pages = {3719},
  doi = {https://doi.org/10.1088/0305-4470/31/16/003}
}
Oono, Y. and Paniconi, M. Steady state thermodynamics 1998 Prog. of Theo. Phys. Supplement
Vol. 130, pp. 29-44 
article DOI  
Abstract: A phenomenological framework corresponding to equilibrium thermodynamics is
constructed for steady states. All the key concepts including entropy are
operationally defined. If a system is strictly linear, the resultant Gibbs
relation justifies the postulated form in the extended irreversible
thermodynamics. The resultant Maxwell's relations and stability criteria give
various le Chatelier-Braun type qualitative predictions. A phenomenological
fluctuation theory around steady states is also formulated.
BibTeX:
@article{Oono1998_vol,
  author = {Oono, Y and Paniconi, M},
  title = {Steady state thermodynamics},
  journal = {Prog. of Theo. Phys. Supplement},
  publisher = {PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE},
  year = {1998},
  volume = {130},
  pages = {29--44},
  doi = {https://doi.org/10.1143/PTPS.130.29}
}
Plastino, A., Casas, M. and Plastino, A. Fisher's information, Kullback's measure, and H-theorems 1998 Phys. Lett. A
Vol. 246(6), pp. 498-504 
article DOI URL 
BibTeX:
@article{Plastino1998_vol246,
  author = {A.R. Plastino and M. Casas and A. Plastino},
  title = {Fisher's information, Kullback's measure, and H-theorems},
  journal = {Phys. Lett. A},
  year = {1998},
  volume = {246},
  number = {6},
  pages = {498--504},
  url = {http://www.sciencedirect.com/science/article/pii/S0375960198005672},
  doi = {https://doi.org/10.1016/S0375-9601(98)00567-2}
}
Reichl, L.E. A modern course in statiscal Physics 1998   book  
BibTeX:
@book{Book_Reichl1998,
  author = {Reichl, L. E.},
  title = {A modern course in statiscal Physics},
  publisher = {John Wiley and Sons, Inc},
  year = {1998},
  edition = {2nd}
}
Sekimoto, K. Langevin Equation and Thermodynamics 1998 Prog. of Theo. Phys.
Vol. 130, pp. 17 
article DOI  
BibTeX:
@article{Sekimoto1998_vol130,
  author = {K. Sekimoto},
  title = {Langevin Equation and Thermodynamics},
  journal = {Prog. of Theo. Phys.},
  year = {1998},
  volume = {130},
  pages = {17},
  doi = {https://doi.org/10.1143/PTPS.130.17}
}
Timothy, E., Hongyun, W. and George, O. Energy transduction in ATP synthase 1998 Nature
Vol. 391 
article  
Abstract: Mitochondria, bacteria and chloroplasts use the free energy stored in
transmembrane ion gradients to manufacture ATP by the action of ATP
synthase.This enzyme consists of two principal domains. The asymmetric
membrane-spanning F0 portion contains the proton channel, and the soluble F1
portion contains three catalytic sites which cooperate in the synthetic
reactions . The flow of protons through F0 is thought to generate a torque
which is transmitted to F1 by an asymmetric shaft, the coiled-coil
gamma-subunit. This acts as a rotating `cam' within F1, sequentially
releasing ATPs from the three active sites . The free-energy difference
across the inner membrane of mitochondria and bacteria is sufficient to
produce three ATPs per twelve protons passing through the motor. It has been
suggested that this protonmotive force biases the rotor's diffusion so that
F0 constitutes a rotary motor turning the gamma shaft . Here we show that
biased diffusion, augmented by electrostatic forces, does indeed generate
sufficient torque to account for ATP production. Moreover, the motor's
reversibility-supplying torque from ATP hydrolysis in F sub 1 converts the
motor into an efficient proton pump -can also be explained by our model.
BibTeX:
@article{Timothy1998vol391,
  author = {Timothy, Elston and Hongyun, Wang and George, Oster},
  title = {Energy transduction in ATP synthase},
  journal = {Nature},
  year = {1998},
  volume = {391}
}
Wang, H. and Oster, G. Energy transduction in the F1 motor of ATP synthase 1998 Nature
Vol. 396, pp. 279-282 
article DOI  
Abstract: ATP synthase is the universal enzyme that manufactures ATP from ADP and
phosphate by using the energy derived from a transmembrane protonmotive
gradient. It can also reverse itself and hydrolyse ATP to pump protons
against an electrochemical gradient. ATP synthase carries out both its
synthetic and hydrolytic cycles by a rotary mechanism. This has been
confirmed in the direction of hydrolysis after isolation of the soluble F1
portion of the protein and visualization of the actual rotation of the
central 'shaft' of the enzyme with respect to the rest of the molecule,
making ATP synthase the world's smallest rotary engine. Here we present a
model for this engine that accounts for its mechanochemical behaviour in both
the hydrolysing and synthesizing directions. We conclude that the F1 motor
achieves its high mechanical torque and almost 100% efficiency because it
converts the free energy of ATP binding into elastic strain, which is then
released by a coordinated kinetic and tightly coupled conformational
mechanism to create a rotary torque.
BibTeX:
@article{Wang1998vol396,
  author = {H. Wang and George Oster},
  title = {Energy transduction in the F1 motor of ATP synthase},
  journal = {Nature},
  year = {1998},
  volume = {396},
  pages = {279--282},
  doi = {https://doi.org/10.1038/24409}
}
Yasuda, R., Noji, H., Kinosita, K. and Yoshida, M. F1-ATPase Is a Highly Efficient Molecular Motor that Rotates with Discrete 120^circ Steps 1998 Cell
Vol. 93(7), pp. 1117-1124 
article DOI URL 
Abstract: A single molecule of F1-ATPase, a portion of ATP synthase, is by itself a
rotary motor in which a central γ subunit rotates against a
surrounding cylinder made of _3_3 subunits. Driven by three
catalytic βs, each fueled with ATP, γ makes discrete 120° steps,
occasionally stepping backward. The work done in each step is constant over a
broad range of imposed load and is close to the free energy of hydrolysis of
one ATP molecule.
BibTeX:
@article{Yasuda1998vol93,
  author = {Ryohei Yasuda and Hiroyuki Noji and Kazuhiko Kinosita and Masasuke Yoshida},
  title = {F1-ATPase Is a Highly Efficient Molecular Motor that Rotates with Discrete 120^circ Steps},
  journal = {Cell},
  year = {1998},
  volume = {93},
  number = {7},
  pages = {1117--1124},
  url = {http://www.sciencedirect.com/science/article/pii/S0092867400814567},
  doi = {https://doi.org/10.1016/S0092-8674(00)81456-7}
}
Naert, A., Friedrich, R. and Peinke, J. Fokker-Planck equation for the energy cascade in turbulence 1997 Phys. Rev. E
Vol. 56, pp. 6719-6722 
article DOI URL 
BibTeX:
@article{Naert1997_vol56,
  author = {Naert, A. and Friedrich, R. and Peinke, J.},
  title = {Fokker-Planck equation for the energy cascade in turbulence},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {1997},
  volume = {56},
  pages = {6719--6722},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.56.6719},
  doi = {https://doi.org/10.1103/PhysRevE.56.6719}
}
Byrd, M. The Geometry of SU(3) 1997   article  
Abstract: The group SU(3) is parameterized in terms of generalized ``Euler angles''. The differential operators of SU(3) corresponding to the Lie Algebra elements are obtained, the invariant forms are found, the group invariant volume element is found, and some relevant comments about the geometry of the group manifold are made.
BibTeX:
@article{Byrd1997vol,
  author = {Mark Byrd},
  title = {The Geometry of SU(3)},
  year = {1997}
}
Friedrich, R. and Peinke, J. Description of a Turbulent Cascade by a Fokker-Planck Equation 1997 Phys. Rev. Lett.
Vol. 78, pp. 863-866 
article DOI URL 
BibTeX:
@article{Friedrich1997_vol78,
  author = {Friedrich, R. and Peinke, J.},
  title = {Description of a Turbulent Cascade by a Fokker-Planck Equation},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {1997},
  volume = {78},
  pages = {863--866},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.78.863},
  doi = {https://doi.org/10.1103/PhysRevLett.78.863}
}
Alexander, F.J. and Eyink, G.L. Rayleigh-Ritz calculation of effective potential far from equilibrium 1997 Phys. Rev. Lett.
Vol. 78(1), pp. 1 
article DOI URL 
BibTeX:
@article{Alexander1997_vol78,
  author = {Alexander, Francis J and Eyink, Gregory L},
  title = {Rayleigh-Ritz calculation of effective potential far from equilibrium},
  journal = {Phys. Rev. Lett.},
  publisher = {APS},
  year = {1997},
  volume = {78},
  number = {1},
  pages = {1},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.78.1},
  doi = {https://doi.org/10.1103/physrevlett.78.1}
}
Cugliandolo, L.F., Kurchan, J. and Peliti, L. Energy flow, partial equilibration, and effective temperatures in systems with slow dynamics 1997 Phys. Rev. E
Vol. 55, pp. 3898-3914 
article DOI URL 
BibTeX:
@article{Cugliandolo1997_vol55,
  author = {Cugliandolo, L. F. and Kurchan, J. and Peliti, L.},
  title = {Energy flow, partial equilibration, and effective temperatures in systems with slow dynamics},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {1997},
  volume = {55},
  pages = {3898--3914},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.55.3898},
  doi = {https://doi.org/10.1103/PhysRevE.55.3898}
}
Jarzynski, C. Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach 1997 Phys. Rev. E
Vol. 56(5), pp. 5018-5035 
article DOI  
BibTeX:
@article{Jarzynski1997_vol56,
  author = {Jarzynski, C.},
  title = {Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {1997},
  volume = {56},
  number = {5},
  pages = {5018--5035},
  doi = {https://doi.org/10.1103/PhysRevE.56.5018}
}
Jarzynski, C. Nonequilibrium Equality for Free Energy Differences 1997 Phys. Rev. Lett.
Vol. 78(14), pp. 2690-2693 
article DOI  
BibTeX:
@article{Jarzynski1997_vol78,
  author = {Jarzynski, C.},
  title = {Nonequilibrium Equality for Free Energy Differences},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {1997},
  volume = {78},
  number = {14},
  pages = {2690--2693},
  doi = {https://doi.org/10.1103/PhysRevLett.78.2690}
}
Jülicher, F., Ajdari, A. and Prost, J. Modeling molecular motors 1997 Rev. Mod. Phys.
Vol. 69(4), pp. 1269-1282 
article DOI  
BibTeX:
@article{Julicher1997_vol69,
  author = {Jülicher, F. and Ajdari, A. and Prost, J.},
  title = {Modeling molecular motors},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {1997},
  volume = {69},
  number = {4},
  pages = {1269--1282},
  doi = {https://doi.org/10.1103/RevModPhys.69.1269}
}
Paniconi, M. and Oono, Y. Phenomenological framework for fluctuations around steady state 1997 Phys. Rev. E
Vol. 55(1), pp. 176-188 
article DOI  
Abstract: A phenomenological framework to describe fluctuations around steady states is
formulated. The framework is illustrated for a magnetic system maintained at
a nonequilibrium steady state by an oscillating magnetic field, modeled at
the mesoscopic level by a Langevin dynamics. The large deviation formalism
along the time axis is employed to construct a generalized entropy to
describe the fluctuations in the steady state for time averaged observables
(state variables). We propose a phenomenological postulate that the
fluctuations about the steady stare can be obtained from the response of the
state variables to ''thermodynamic conjugate forces'' (fluctuation-response
relation), as in the ordinary thermodynamic fluctuation theory. An
experimentally realizable method to study the linear response about the
steady state against state variable perturbations is proposed, and
illustrated for the driven magnetic system. The notion of a proper state
space to describe nonequilibrium steady states is discussed, and to this end,
we introduce a dissipation variable to extend the state space for our model
system. In the extended state space, we elucidate and study various stability
and Maxwell-type relations that follow from our local phenomenological
(thermodynamic) frame-work. Some relevant issues regarding a more general
thermodynamic framework are also discussed.
BibTeX:
@article{Paniconi1997_vol55,
  author = {Paniconi, M. and Oono, Y.},
  title = {Phenomenological framework for fluctuations around steady state},
  journal = {Phys. Rev. E},
  publisher = {American Physical Soc},
  year = {1997},
  volume = {55},
  number = {1},
  pages = {176--188},
  doi = {https://doi.org/10.1103/PhysRevE.55.176}
}
Sekimoto, K. and Sasa, S.-I. Complementarity Relation for Irreversible Process Derived from Stochastic Energetics 1997 J. Phys. Soc. Jpn.
Vol. 66(11), pp. 3326-3328 
article DOI URL 
BibTeX:
@article{Sekimoto1997_vol66,
  author = {Sekimoto, K. and Sasa, S.-I.},
  title = {Complementarity Relation for Irreversible Process Derived from Stochastic Energetics},
  journal = {J. Phys. Soc. Jpn.},
  publisher = {The Physical Society of Japan},
  year = {1997},
  volume = {66},
  number = {11},
  pages = {3326--3328},
  url = {http://jpsj.ipap.jp/link?JPSJ/66/3326/},
  doi = {https://doi.org/10.1143/JPSJ.66.3326}
}
Sextant and F.X. Bally T. Baumberger, J.B.D.C.L.R.É.R. Optique Expérimentale 1997   book  
BibTeX:
@book{Book_Sextant1997,
  author = {Sextant and F.X. Bally, T. Baumberger, J.M. Berroir, D. Côte, L. Rezeau, É. Rolley},
  title = {Optique Expérimentale},
  publisher = {Hermann},
  year = {1997}
}
Eyink, G.L. Action principle in nonequilibrium statistical dynamics 1996 Phys. Rev. E
Vol. 54, pp. 3419-3435 
article DOI URL 
BibTeX:
@article{Eyink1996_vol54,
  author = {Eyink, Gregory L.},
  title = {Action principle in nonequilibrium statistical dynamics},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {1996},
  volume = {54},
  pages = {3419--3435},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.54.3419},
  doi = {https://doi.org/10.1103/PhysRevE.54.3419}
}
Bouchaud, J.-P., Cugliandolo, L., Kurchan, J. and Mézard, M. Mode-coupling approximations, glass theory and disordered systems 1996 Phys. A
Vol. 226(3-4), pp. 243-273 
article DOI URL 
BibTeX:
@article{Bouchaud1996_vol226,
  author = {Jean-Philippe Bouchaud and Leticia Cugliandolo and Jorge Kurchan and Marc Mézard},
  title = {Mode-coupling approximations, glass theory and disordered systems},
  journal = {Phys. A},
  year = {1996},
  volume = {226},
  number = {3-4},
  pages = {243--273},
  url = {http://www.sciencedirect.com/science/article/pii/0378437195004238},
  doi = {https://doi.org/10.1016/0378-4371(95)00423-8}
}
Castaing, B. The temperature of turbulent flows 1996 J. Phys II
Vol. 6, pp. 105-114 
article  
BibTeX:
@article{Castaing1996_vol,
  author = {Castaing, B.},
  title = {The temperature of turbulent flows},
  journal = {J. Phys II},
  year = {1996},
  volume = {6},
  pages = {105--114}
}
Hestenes, D. Spacetime calculus for gravitation theory 1996   article  
Abstract: A new gauge theory of gravitation on flat spacetime has been formulated in
the language of Geometric Calculus. This paper provides a systematic account
of the mathematical formalism to facilitate applications and extensions of
the theory. It includes formulations of differential geometry, Lie
derivatives and integrability theorems which are coordinate-free and
gauge-covariant. Emphasis is on use of the language to express physical and
geometrical concepts.
BibTeX:
@article{Hestenes1996vola,
  author = {D. Hestenes},
  title = {Spacetime calculus for gravitation theory},
  year = {1996}
}
Hestenes, D. The Theory of the electron 1996 , pp. 1-50  inbook URL 
BibTeX:
@inbook{Hestenes1996vol,
  author = {D. Hestenes},
  title = {The Theory of the electron},
  publisher = {UNAM, Facultad de Estudios Superiores, Cuautitlan, Mexico},
  year = {1996},
  pages = {1--50},
  url = {http://geocalc.clas.asu.edu/pdf/SpaceTimeCalc.pdf}
}
Parrondo, J.M.R. and Espanol, P. Criticism of Feynman's analysis of the ratchet as an engine 1996 Am. J. Phys.
Vol. 64(9), pp. 1125-1130 
article URL 
Abstract: The well-known discussion on an engine consisting of a ratchet and a pawl in
[R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics
(Addison-Wesley, Reading, MA, 1953), Vol. 1, pp. 46.1-46.9] is shown to
contain some misguided aspects: Since the engine is simultaneously in contact
with reservoirs at different temperatures, it can never work in a reversible
way. As a consequence, the engine can never achieve the efficiency of a
Carnot cycle, not even in the limit of zero power (infinitely slow motion),
in contradiction with the conclusion reached in the Lectures. (C) 1996
American Association of Physics Teachers.
BibTeX:
@article{Parrondo1996_vol64,
  author = {Parrondo, J. M. R. and Espanol, P.},
  title = {Criticism of Feynman's analysis of the ratchet as an engine},
  journal = {Am. J. Phys.},
  publisher = {Amer Inst Physics},
  year = {1996},
  volume = {64},
  number = {9},
  pages = {1125--1130},
  url = {http://dx.doi.org/10.1119/1.18393}
}
Jülicher, F. and Prost, J. Cooperative Molecular Motors 1995 Phys. Rev. Lett.
Vol. 75, pp. 2618-2621 
article DOI URL 
BibTeX:
@article{Juelicher1995_vol75,
  author = {Jülicher, Frank and Prost, Jacques},
  title = {Cooperative Molecular Motors},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {1995},
  volume = {75},
  pages = {2618--2621},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.75.2618},
  doi = {https://doi.org/10.1103/PhysRevLett.75.2618}
}
Ceperley, D.M. Path integrals in the theory of condensed helium 1995 Rev. Mod. Phys.
Vol. 67, pp. 279-355 
article DOI URL 
BibTeX:
@article{Ceperley1995vol67,
  author = {Ceperley, D. M.},
  title = {Path integrals in the theory of condensed helium},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {1995},
  volume = {67},
  pages = {279--355},
  url = {https://link.aps.org/doi/10.1103/RevModPhys.67.279},
  doi = {https://doi.org/10.1103/RevModPhys.67.279}
}
Adrianova, L.Y. Introduction to Linear systems of Differential Equations 1995   book  
BibTeX:
@book{Adrianova1995_vol,
  author = {L. Ya. Adrianova},
  title = {Introduction to Linear systems of Differential Equations},
  publisher = {American Mathematical Soc, Providence Rhode Island},
  year = {1995}
}
Chaikin, P.M. and Lubensky, T.C. Principles of condensed matter physics 1995   book URL 
BibTeX:
@book{Book_Chaikin1995,
  author = {P. M. Chaikin and T. C. Lubensky},
  title = {Principles of condensed matter physics},
  publisher = {Cambridge University Press},
  year = {1995},
  url = {http://www.cambridge.org/catalogue/catalogue.asp?isbn=9780521794503}
}
Chapallaz, J.-M., Mombelli, H.-P. and Renaud, A. Petites centrales hydrauliques, Turbines hydrauliques 1995 Programme d'action ''Construction et Énergie''  article  
BibTeX:
@article{Chapallaz1995vol,
  author = {J.-M. Chapallaz and H.-P. Mombelli and A. Renaud},
  title = {Petites centrales hydrauliques, Turbines hydrauliques},
  journal = {Programme d'action ''Construction et Énergie''},
  year = {1995}
}
Gallavotti, G. and Cohen, E.G.D. Dynamical Ensembles in Nonequilibrium Statistical Mechanics 1995 Phys. Rev. Lett.
Vol. 74(14), pp. 2694-2697 
article DOI  
BibTeX:
@article{Gallavotti1995_vol74,
  author = {Gallavotti, G. and Cohen, E. G. D.},
  title = {Dynamical Ensembles in Nonequilibrium Statistical Mechanics},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {1995},
  volume = {74},
  number = {14},
  pages = {2694--2697},
  doi = {https://doi.org/10.1103/PhysRevLett.74.2694}
}
Hladik, J. La théorie des groupes en physique et en chimie quantique 1995   book  
BibTeX:
@book{Hladik1995vol,
  author = {Jean Hladik},
  title = {La théorie des groupes en physique et en chimie quantique},
  publisher = {Masson},
  year = {1995}
}
Hughes, B.D. Random Walks and Random Environments: Volume 1: Random Walks 1995   book  
BibTeX:
@book{Hughes1995_vol,
  author = {B. D. Hughes},
  title = {Random Walks and Random Environments: Volume 1: Random Walks},
  publisher = {Oxford University Press},
  year = {1995}
}
Messiah, A. Mécanique quantique 1995
Vol. 1 
book  
BibTeX:
@book{Messiah1995vol1,
  author = {Albert Messiah},
  title = {Mécanique quantique},
  publisher = {Dunod, Paris},
  year = {1995},
  volume = {1}
}
Messiah, A. Mécanique quantique 1995
Vol. 2 
book  
BibTeX:
@book{Messiah1995vol2,
  author = {Albert Messiah},
  title = {Mécanique quantique},
  publisher = {Dunod, Paris},
  year = {1995},
  volume = {2}
}
Peskin, M.E. and Schroeder, D.V. An Introduction to quantum theory 1995   book  
BibTeX:
@book{Book_Peskin1995,
  author = {Peskin, M. E. and Schroeder, D. V.},
  title = {An Introduction to quantum theory},
  publisher = {Addison-Wesley publishing compagny, Inc.},
  year = {1995}
}
Piazzesi, G. and Lombardi, V. A cross-bridge model that is able to explain mechanical and energetic properties of shortening muscle 1995 Biophys. J.
Vol. 68(5), pp. 1966-1979 
article DOI URL 
Abstract: The responses of muscle to steady and stepwise shortening are simulated with
a model in which actin-myosin cross-bridges cycle through two pathways
distinct for the attachment-detachment kinetics and for the proportion of
energy converted into work. Small step releases and steady shortening at low
velocity (high load) favor the cycle implying approximately 5 nm sliding per
cross-bridge interaction and approximately 100/s detachment-reattachment
process; large step releases and steady shortening at high velocity (low
load) favor the cycle implying approximately 10 nm sliding per cross-bridge
interaction and approximately 20/s detachment-reattachment process. The model
satisfactorily predicts specific mechanical properties of frog skeletal
muscle, such as the rate of regeneration of the working stroke as measured by
double-step release experiments and the transition to steady state during
multiple step releases (staircase shortening). The rate of energy liberation
under different mechanical conditions is correctly reproduced by the model.
During steady shortening, the relation of energy liberation rate versus
shortening speed attains a maximum (approximately 6 times the isometric rate)
for shortening velocities lower than half the maximum velocity of shortening
and declines for higher velocities. In addition, the model provides a clue
for explaining how, in different muscle types, the higher the isometric
maintenance heat, the higher the power output during steady shortening.
BibTeX:
@article{Piazzesi1995_vol68,
  author = {G. Piazzesi and V. Lombardi},
  title = {A cross-bridge model that is able to explain mechanical and energetic properties of shortening muscle},
  journal = {Biophys. J.},
  year = {1995},
  volume = {68},
  number = {5},
  pages = {1966--1979},
  url = {http://www.sciencedirect.com/science/article/pii/S0006349595803747},
  doi = {https://doi.org/10.1016/S0006-3495(95)80374-7}
}
Suárez, A., Ross, J., Peng, B., Hunt, K.L.C. and Hunt, P.M. Thermodynamic and stochastic theory of nonequilibrium systems: A Lagrangian approach to fluctuations and relation to excess work 1995 J. Chem. Phys.
Vol. 102(11), pp. 4563-4573 
article DOI URL 
BibTeX:
@article{Suarez1995_vol102,
  author = {Suárez, Alberto and Ross, John and Peng, Bo and Hunt, Katharine L. C. and Hunt, Paul M.},
  title = {Thermodynamic and stochastic theory of nonequilibrium systems: A Lagrangian approach to fluctuations and relation to excess work},
  journal = {J. Chem. Phys.},
  year = {1995},
  volume = {102},
  number = {11},
  pages = {4563--4573},
  url = {http://scitation.aip.org/content/aip/journal/jcp/102/11/10.1063/1.469504},
  doi = {https://doi.org/10.1063/1.469504}
}
Theisel, H. Vector Field Curvature and Applications 1995 School: Fakultät der Ingenieurwissenschaften der Universität Rostock  phdthesis  
BibTeX:
@phdthesis{Phdthesis_Theisel1995,
  author = {Theisel, H.},
  title = {Vector Field Curvature and Applications},
  school = {Fakultät der Ingenieurwissenschaften der Universität Rostock},
  year = {1995}
}
Truman, A., Williams, D. and Yu, K.Y. Schr�dinger operators and asymptotics for Poisson-L�vy excursion measures for one-dimensional time-homogeneous diffusions 1995
Vol. 57Stochastic analysis, pp. 145-156 
inproceedings  
BibTeX:
@inproceedings{Truman1993_vol,
  author = {Truman, A. and Williams, D. and Yu, K. Y.},
  title = {Schr�dinger operators and asymptotics for Poisson-L�vy excursion measures for one-dimensional time-homogeneous diffusions},
  booktitle = {Stochastic analysis},
  year = {1995},
  volume = {57},
  pages = {145--156}
}
Lee, B.P. and Cardy, J. Scaling of reaction zones in the A + B -> 0 diffusion-limited reaction 1994 Phys. Rev. E
Vol. 50, pp. R3287-R3290 
article DOI URL 
BibTeX:
@article{Lee1994_vol50,
  author = {Lee, Benjamin P. and Cardy, John},
  title = {Scaling of reaction zones in the A + B -> 0 diffusion-limited reaction},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {1994},
  volume = {50},
  pages = {R3287--R3290},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.50.R3287},
  doi = {https://doi.org/10.1103/PhysRevE.50.R3287}
}
Harrison, P. and Scott, W. Generation permutation symmetry and the quark mixing matrix 1994 Physics Letters B
Vol. 333(3-4), pp. 471-475 
article DOI  
BibTeX:
@article{Harrison1994vol333,
  author = {P.F. Harrison and W.G. Scott},
  title = {Generation permutation symmetry and the quark mixing matrix},
  journal = {Physics Letters B},
  publisher = {Elsevier BV},
  year = {1994},
  volume = {333},
  number = {3-4},
  pages = {471--475},
  doi = {https://doi.org/10.1016/0370-2693(94)90170-8}
}
Inagaki, T. Quantum-mechanical approach to a free photon 1994 Physical Review A
Vol. 49(4), pp. 2839-2843 
article DOI  
BibTeX:
@article{Inagaki1994vol49,
  author = {Inagaki, Toshio},
  title = {Quantum-mechanical approach to a free photon},
  journal = {Physical Review A},
  publisher = {American Physical Society (APS)},
  year = {1994},
  volume = {49},
  number = {4},
  pages = {2839--2843},
  doi = {https://doi.org/10.1103/physreva.49.2839}
}
Astumian, R.D. and Bier, M. Fluctuation driven ratchets: Molecular motors 1994 Phys. Rev. Lett.
Vol. 72(11), pp. 1766-1769 
article DOI  
BibTeX:
@article{Astumian1994_vol72,
  author = {Astumian, R. Dean and Bier, Martin},
  title = {Fluctuation driven ratchets: Molecular motors},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {1994},
  volume = {72},
  number = {11},
  pages = {1766--1769},
  doi = {https://doi.org/10.1103/PhysRevLett.72.1766}
}
Cugliandolo, L., Kurchan, J. and Parisi, G. Off equilibrium dynamics and aging in unfrustrated systems 1994 J. Phys.
Vol. 4(11), pp. 1641-1656 
article DOI  
BibTeX:
@article{Cugliandolo1994_vol4,
  author = {Cugliandolo, L. F. and Kurchan, J. and Parisi, G.},
  title = {Off equilibrium dynamics and aging in unfrustrated systems},
  journal = {J. Phys.},
  year = {1994},
  volume = {4},
  number = {11},
  pages = {1641--1656},
  doi = {https://doi.org/10.1051/jp1:1994212}
}
Dykman, M.I., Mori, E., Ross, J. and Hunt, P.M. Large fluctuations and optimal paths in chemical kinetics 1994 J. Chem. Phys.
Vol. 100(8), pp. 5735-5750 
article DOI URL 
BibTeX:
@article{Dykman1994_vol100,
  author = {Dykman, M. I. and Mori, Eugenia and Ross, John and Hunt, P. M.},
  title = {Large fluctuations and optimal paths in chemical kinetics},
  journal = {J. Chem. Phys.},
  year = {1994},
  volume = {100},
  number = {8},
  pages = {5735--5750},
  url = {http://scitation.aip.org/content/aip/journal/jcp/100/8/10.1063/1.467139},
  doi = {https://doi.org/10.1063/1.467139}
}
Evans, D.J. and Searles, D.J. Equilibrium microstates which generate second law violating steady states 1994 Phys. Rev. E
Vol. 50, pp. 1645-1648 
article DOI URL 
BibTeX:
@article{Evans1994_vol50,
  author = {Evans, D. J. and Searles, D. J.},
  title = {Equilibrium microstates which generate second law violating steady states},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {1994},
  volume = {50},
  pages = {1645--1648},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.50.1645},
  doi = {https://doi.org/10.1103/PhysRevE.50.1645}
}
Hamm, A., Tél, T. and Graham, R. Noise-induced attractor explosions near tangent bifurcations 1994 Physics Letters A
Vol. 185(3), pp. 313-320 
article URL 
BibTeX:
@article{Hamm1994vol185,
  author = {Hamm, A and Tél, T and Graham, R},
  title = {Noise-induced attractor explosions near tangent bifurcations},
  journal = {Physics Letters A},
  publisher = {Elsevier},
  year = {1994},
  volume = {185},
  number = {3},
  pages = {313--320},
  url = {https://www.sciencedirect.com/science/article/abs/pii/0375960194906211}
}
Muller, W. and Müller, B. Quantum Mechanics: Symmetries 1994   book  
BibTeX:
@book{Muller1994vol,
  author = {Walter Muller and Berndt Müller},
  title = {Quantum Mechanics: Symmetries},
  publisher = {Springer Berlin Heidelberg},
  year = {1994}
}
Prost, J., Chauwin, J.-F., Peliti, L. and Ajdari, A. Asymmetric pumping of particles 1994 Phys. Rev. Lett.
Vol. 72(16), pp. 2652-2655 
article DOI  
BibTeX:
@article{Prost1994_vol72,
  author = {Prost, J. and Chauwin, J.-F. and Peliti, L. and Ajdari, A.},
  title = {Asymmetric pumping of particles},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {1994},
  volume = {72},
  number = {16},
  pages = {2652--2655},
  doi = {https://doi.org/10.1103/PhysRevLett.72.2652}
}
Toulouse, G. From Statistical Physics to Statistical Inference and Back 1994   book  
BibTeX:
@book{Book_Toulouse1994,
  author = {Toulouse, G.},
  title = {From Statistical Physics to Statistical Inference and Back},
  publisher = {Springer Netherlands},
  year = {1994}
}
Benzi, R., Ciliberto, S., Tripiccione, R., Baudet, C., Massaioli, F. and Succi, S. Extended self-similarity in turbulent flows 1993 Phys. Rev. E
Vol. 48, pp. R29-R32 
article DOI URL 
BibTeX:
@article{Benzi1993_vol48,
  author = {Benzi, R. and Ciliberto, S. and Tripiccione, R. and Baudet, C. and Massaioli, F. and Succi, S.},
  title = {Extended self-similarity in turbulent flows},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {1993},
  volume = {48},
  pages = {R29--R32},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.48.R29},
  doi = {https://doi.org/10.1103/PhysRevE.48.R29}
}
Marian, P. and Marian, T.A. Squeezed states with thermal noise. I. Photon-number statistics 1993 Physical Review A
Vol. 47(5), pp. 4474-4486 
article DOI  
BibTeX:
@article{Marian1993vol47,
  author = {Paulina Marian and Tudor A. Marian},
  title = {Squeezed states with thermal noise. I. Photon-number statistics},
  journal = {Physical Review A},
  publisher = {American Physical Society (APS)},
  year = {1993},
  volume = {47},
  number = {5},
  pages = {4474--4486},
  doi = {https://doi.org/10.1103/physreva.47.4474}
}
Varma, R.K., Shukla, P.K. and Krishan, V. Electrostatic oscillations in the presence of grain-charge perturbations in dusty plasmas 1993 Phys. Rev. E
Vol. 47, pp. 3612-3616 
article DOI URL 
BibTeX:
@article{Varma1993_vol47,
  author = {Varma, R. K. and Shukla, P. K. and Krishan, V.},
  title = {Electrostatic oscillations in the presence of grain-charge perturbations in dusty plasmas},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {1993},
  volume = {47},
  pages = {3612--3616},
  url = {http://link.aps.org/doi/10.1103/PhysRevE.47.3612},
  doi = {https://doi.org/10.1103/PhysRevE.47.3612}
}
Boyer, P.D. The binding change mechanism for ATP synthase -- Some probabilities and possibilities 1993 Biochimica et Biophysica Acta (BBA) - Bioenergetics
Vol. 1140(3), pp. 215-250 
article DOI URL 
BibTeX:
@article{Boyer1993vol1140,
  author = {Paul D. Boyer},
  title = {The binding change mechanism for ATP synthase -- Some probabilities and possibilities},
  journal = {Biochimica et Biophysica Acta (BBA) - Bioenergetics},
  year = {1993},
  volume = {1140},
  number = {3},
  pages = {215--250},
  url = {http://www.sciencedirect.com/science/article/pii/000527289390063L},
  doi = {https://doi.org/10.1016/0005-2728(93)90063-L}
}
Derrida, B. and Evans, M. Exact correlation functions in an asymmetric exclusion model with open boundaries 1993 J. Phys. I France
Vol. 3, pp. 311-322 
article DOI  
BibTeX:
@article{Derrida1993_vol3,
  author = {Derrida, B. and Evans, M.R.},
  title = {Exact correlation functions in an asymmetric exclusion model with open boundaries},
  journal = {J. Phys. I France},
  year = {1993},
  volume = {3},
  pages = {311--322},
  doi = {https://doi.org/10.1051/jp1:1993132}
}
Doran, C., Hestenes, D., Sommen, F. and Van Acker, N. Lie groups as spin groups 1993 Journal of Mathematical Physics
Vol. 34(8), pp. 3642-3669 
article DOI URL 
BibTeX:
@article{Doran1993vol34,
  author = {Doran,C. and Hestenes,D. and Sommen,F. and Van Acker,N.},
  title = {Lie groups as spin groups},
  journal = {Journal of Mathematical Physics},
  year = {1993},
  volume = {34},
  number = {8},
  pages = {3642--3669},
  url = {https://doi.org/10.1063/1.530050},
  doi = {https://doi.org/10.1063/1.530050}
}
Evans, D.J., Cohen, E.G.D. and Morriss, G.P. Probability of second law violations in shearing steady states 1993 Phys. Rev. Lett.
Vol. 71, pp. 2401-2404 
article DOI  
BibTeX:
@article{Evans1993_vol71,
  author = {Evans, Denis J. and Cohen, E. G. D. and Morriss, G. P.},
  title = {Probability of second law violations in shearing steady states},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {1993},
  volume = {71},
  pages = {2401--2404},
  doi = {https://doi.org/10.1103/PhysRevLett.71.2401}
}
Hestenes, D. Hamiltonian Mechanics with Geometric Calculus 1993 , pp. 203-214  book DOI URL 
BibTeX:
@book{Book_Hestenes1993,
  author = {Hestenes, David},
  title = {Hamiltonian Mechanics with Geometric Calculus},
  publisher = {Springer Netherlands},
  year = {1993},
  pages = {203--214},
  url = {http://dx.doi.org/10.1007/978-94-011-1719-7_25},
  doi = {https://doi.org/10.1007/978-94-011-1719-7_25}
}
Jung, P. Periodically driven stochastic systems 1993 PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
Vol. 234, pp. 175-295 
article DOI  
BibTeX:
@article{Jung1993_vol234,
  author = {Jung, P.},
  title = {Periodically driven stochastic systems},
  journal = {PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS},
  year = {1993},
  volume = {234},
  pages = {175--295},
  doi = {https://doi.org/10.1016/0370-1573(93)90022-6}
}
Landauer, R. Statistical physics of machinery: forgotten middle-ground 1993 Physica A
Vol. 194(1), pp. 551-562 
article DOI URL 
Abstract: Statistical physics long concentrated on the equilibrium state in the
thermodynamic limit, and small deviations from that state. Machinery is
spatially inhomogeneous, non-linear, and operates far from equilibrium. After
our field expanded to face these problems, they were soon displaced by still
newer fashions. It is symptomatic of this situation that the real resolution
of Maxwell's demon, in the 1980s, passed almost unnoticed. We revisit a
number of subjects, emphasizing the need for concern with the detailed
kinetics of the system at hand and the difficulties posed by magic short
cuts. The maximum entropy formalism, minimal entropy production, and the
difficulties in identifying the most likely state among competing states of
local stability will be taken up. The blowtorch theorem demonstrates that
relative stability cannot, in general, be decided by examining only the
neighborhood of the competing states. The kinetics along the pathway
connecting the states must be taken into account. The latter point will be
connected to biological evolution. Circulating currents, set up by the
simultaneous presence of force fields and temperature gradients, will be
described.
BibTeX:
@article{Landauer1993_vol194,
  author = {Rolf Landauer},
  title = {Statistical physics of machinery: forgotten middle-ground},
  journal = {Physica A},
  year = {1993},
  volume = {194},
  number = {1},
  pages = {551--562},
  url = {http://www.sciencedirect.com/science/article/pii/037843719390385H},
  doi = {https://doi.org/10.1016/0378-4371(93)90385-H}
}
Mermin, N.D. Hidden variables and the two theorems of John Bell 1993 Rev. Mod. Phys.
Vol. 65(3), pp. 803-815 
article DOI  
BibTeX:
@article{Mermin1993_vol65,
  author = {Mermin, N. David},
  title = {Hidden variables and the two theorems of John Bell},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {1993},
  volume = {65},
  number = {3},
  pages = {803--815},
  doi = {https://doi.org/10.1103/RevModPhys.65.803}
}
Watanabe, S. Generalized Arc-Sine Laws for One-Dimensional Diffusion processes and Random Walks 1993
Vol. 57Stochastic Analysis, pp. 157-172 
inproceedings  
BibTeX:
@inproceedings{Watanabe1993_vol,
  author = {Watanabe, S.},
  title = {Generalized Arc-Sine Laws for One-Dimensional Diffusion processes and Random Walks},
  booktitle = {Stochastic Analysis},
  year = {1993},
  volume = {57},
  pages = {157--172}
}
Chen, H.-C. Circulative Matrices of Degree textdollar\theta textdollar 1992 SIAM Journal on Matrix Analysis and Applications
Vol. 13(4), pp. 1172-1188 
article DOI  
BibTeX:
@article{Chen1992vol13,
  author = {Hsin-Chu Chen},
  title = {Circulative Matrices of Degree textdollar\theta textdollar},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  publisher = {Society for Industrial &amp; Applied Mathematics (SIAM)},
  year = {1992},
  volume = {13},
  number = {4},
  pages = {1172--1188},
  doi = {https://doi.org/10.1137/0613072}
}
Hestenes, D. Geometry of the Dirac theory 1992 Advances in Applied Clifford Algebras
Vol. 2 
article  
BibTeX:
@article{Hestenes1992vol2,
  author = {Hestenes, David},
  title = {Geometry of the Dirac theory},
  journal = {Advances in Applied Clifford Algebras},
  year = {1992},
  volume = {2}
}
Goldenfeld, N. Lectures On Phase Transitions And The Renormalization Group 1992   book  
BibTeX:
@book{Goldenfeld1992_vol,
  author = {Nigel Goldenfeld},
  title = {Lectures On Phase Transitions And The Renormalization Group},
  publisher = {Perseus Books Publishing, L.L.C.},
  year = {1992}
}
Marcus, M. and Minc, H. Survey of matrix theory and matrix inequalities 1992   book  
BibTeX:
@book{Book_Marcus1992,
  author = {Marcus, M. and Minc, H.},
  title = {Survey of matrix theory and matrix inequalities},
  publisher = {Dover Publications},
  year = {1992}
}
Crawford, J.D. Introduction to bifurcation theory 1991 Rev. Mod. Phys.
Vol. 63, pp. 991-1037 
article DOI URL 
BibTeX:
@article{Crawford1991_vol63,
  author = {Crawford, John David},
  title = {Introduction to bifurcation theory},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {1991},
  volume = {63},
  pages = {991--1037},
  url = {https://link.aps.org/doi/10.1103/RevModPhys.63.991},
  doi = {https://doi.org/10.1103/RevModPhys.63.991}
}
Hestenes, D. The design of linear algebra and geometry 1991 Acta Applicandae Mathematicae
Vol. 23(1), pp. 65-93 
article DOI  
BibTeX:
@article{Hestenes1991vol23,
  author = {David Hestenes},
  title = {The design of linear algebra and geometry},
  journal = {Acta Applicandae Mathematicae},
  publisher = {Springer Science and Business Media LLC},
  year = {1991},
  volume = {23},
  number = {1},
  pages = {65--93},
  doi = {https://doi.org/10.1007/bf00046920}
}
Cover, T.M. and Thomas, J.A. Element of Information Theory 1991   book  
BibTeX:
@book{Cover1991_vol,
  author = {Cover, T. M. and Thomas, J. A.},
  title = {Element of Information Theory},
  publisher = {John Wiley and Sons, New York},
  year = {1991}
}
Froggat, C. and Nielsen, H. Origin of Symmetries 1991   book  
BibTeX:
@book{Book_Froggat1991,
  author = {C.D. Froggat and H.B. Nielsen},
  title = {Origin of Symmetries},
  publisher = {World Scientific Publishing Company},
  year = {1991}
}
Fung, K.M. Space-Time Symmetries, Gauge Fields and Differential Forms 1991 Chinese journal of physics
Vol. 29(3), pp. 191 
article  
BibTeX:
@article{Fung1991vol29,
  author = {K. M. Fung},
  title = {Space-Time Symmetries, Gauge Fields and Differential Forms},
  journal = {Chinese journal of physics},
  year = {1991},
  volume = {29},
  number = {3},
  pages = {191}
}
Hawkes, J. and Truman, A. Statistics of local time and excursions for the Ornstein-Uhlenbeck process 1991 Stochastic Analysis, pp. 91-102  incollection URL 
BibTeX:
@incollection{Hawkes1991_vol,
  author = {J. Hawkes and A. Truman},
  title = {Statistics of local time and excursions for the Ornstein-Uhlenbeck process},
  booktitle = {Stochastic Analysis},
  publisher = {Cambridge University Press},
  year = {1991},
  pages = {91--102},
  note = {Cambridge Books Online},
  url = {http://dx.doi.org/10.1017/CBO9780511662980.005}
}
Jaynes, E.T. The electron: New Theory and Experiment 1991   article  
BibTeX:
@article{Jaynes1991_vol,
  author = {Jaynes, E. T.},
  title = {The electron: New Theory and Experiment},
  year = {1991}
}
Vinitskicheck i, S.I., Derbov, V.L., Dubovik, V.M., Markovski, B.L. and Stepanovskicheck i, Y.P. Topological phases in quantum mechanics and polarization optics 1990 Soviet Physics Uspekhi
Vol. 33(6), pp. 403-428 
article DOI  
BibTeX:
@article{Vinitskii1990vol33,
  author = {Vinitskicheck i, S I and Derbov, V L and Dubovik, Vladimir M and Markovski, B L and Stepanovskicheck i, Yu P},
  title = {Topological phases in quantum mechanics and polarization optics},
  journal = {Soviet Physics Uspekhi},
  publisher = {IOP Publishing},
  year = {1990},
  volume = {33},
  number = {6},
  pages = {403--428},
  doi = {https://doi.org/10.1070/pu1990v033n06abeh002598}
}
Fairlie, D.B., Fletcher, P. and Zachos, C.K. Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras 1990 Journal of Mathematical Physics
Vol. 31(5), pp. 1088-1094 
article DOI  
BibTeX:
@article{Fairlie1990vol31,
  author = {D. B. Fairlie and P. Fletcher and C. K. Zachos},
  title = {Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras},
  journal = {Journal of Mathematical Physics},
  publisher = {AIP Publishing},
  year = {1990},
  volume = {31},
  number = {5},
  pages = {1088--1094},
  doi = {https://doi.org/10.1063/1.528788}
}
Burlatsky, S., Oshanin, G. and Elyashevich, M. Diffusion-controlled deposition of a dense lattice gas 1990 Phys. Lett. A
Vol. 151(9), pp. 538-542 
article DOI URL 
BibTeX:
@article{Burlatsky1990_vol151,
  author = {S.F. Burlatsky and G.S. Oshanin and M.M. Elyashevich},
  title = {Diffusion-controlled deposition of a dense lattice gas},
  journal = {Phys. Lett. A},
  year = {1990},
  volume = {151},
  number = {9},
  pages = {538--542},
  url = {http://www.sciencedirect.com/science/article/pii/0375960190904765},
  doi = {https://doi.org/10.1016/0375-9601(90)90476-5}
}
Harvey, F.R. Spinors and Calibrations 1990   book  
BibTeX:
@book{Book_Harvey1990,
  author = {Harvey, F. R.},
  title = {Spinors and Calibrations},
  publisher = {Academic Press; 1 edition},
  year = {1990}
}
Truman, A. and Williams, D. A generalised Arc-sine law and Nelson's stochastic mechanics of One-Dimensional Time-Homogeneous Diffusion 1990
Vol. IDiffusion processes and related proclems in analysis, pp. 117-135 
inproceedings  
BibTeX:
@inproceedings{Truman1990_vol,
  author = {Truman, A. and Williams, D.},
  title = {A generalised Arc-sine law and Nelson's stochastic mechanics of One-Dimensional Time-Homogeneous Diffusion},
  booktitle = {Diffusion processes and related proclems in analysis},
  publisher = {Birkhäuser, Boston, MA},
  year = {1990},
  volume = {I},
  pages = {117--135}
}
Van den Broeck, C. Renormalization of first-passage times for random walks on deterministic fractals 1989 Phys. Rev. A
Vol. 40, pp. 7334-7345 
article DOI URL 
BibTeX:
@article{VandenBroeck1989_vol40,
  author = {Van den Broeck, C.},
  title = {Renormalization of first-passage times for random walks on deterministic fractals},
  journal = {Phys. Rev. A},
  publisher = {American Physical Society},
  year = {1989},
  volume = {40},
  pages = {7334--7345},
  url = {http://link.aps.org/doi/10.1103/PhysRevA.40.7334},
  doi = {https://doi.org/10.1103/PhysRevA.40.7334}
}
Kim, M.S., de Oliveira, F.A.M. and Knight, P.L. Properties of squeezed number states and squeezed thermal states 1989 Physical Review A
Vol. 40(5), pp. 2494-2503 
article DOI  
BibTeX:
@article{Kim1989vol40,
  author = {M. S. Kim and F. A. M. de Oliveira and P. L. Knight},
  title = {Properties of squeezed number states and squeezed thermal states},
  journal = {Physical Review A},
  publisher = {American Physical Society (APS)},
  year = {1989},
  volume = {40},
  number = {5},
  pages = {2494--2503},
  doi = {https://doi.org/10.1103/physreva.40.2494}
}
McNamara, B. and Wiesenfeld, K. Theory of stochastic resonance 1989 Phys. Rev. A
Vol. 39, pp. 4854-4869 
article DOI URL 
BibTeX:
@article{McNamara1989_vol39,
  author = {McNamara, B. and Wiesenfeld, K.},
  title = {Theory of stochastic resonance},
  journal = {Phys. Rev. A},
  publisher = {American Physical Society},
  year = {1989},
  volume = {39},
  pages = {4854--4869},
  url = {http://link.aps.org/doi/10.1103/PhysRevA.39.4854},
  doi = {https://doi.org/10.1103/PhysRevA.39.4854}
}
�rdi, P. and T�th, J. Mathematical Models of Chemical Reactions: Theory and Applications of Deterministic and Stochastic Models 1989   book  
BibTeX:
@book{Book_Erdi1989,
  author = {�rdi, P. and T�th, J.},
  title = {Mathematical Models of Chemical Reactions: Theory and Applications of Deterministic and Stochastic Models},
  publisher = {Manchester University Press},
  year = {1989}
}
Grassberger, P. Noise-induced escape from attractors 1989 Journal of Physics A: Mathematical and General
Vol. 22(16), pp. 3283 
article URL 
BibTeX:
@article{Grassberger1989vol22,
  author = {Grassberger, Peter},
  title = {Noise-induced escape from attractors},
  journal = {Journal of Physics A: Mathematical and General},
  publisher = {IOP Publishing},
  year = {1989},
  volume = {22},
  number = {16},
  pages = {3283},
  url = {https://iopscience-iop-org.proxy.scd.u-psud.fr/article/10.1088/0305-4470/22/16/018}
}
Hill, T.L. Free Energy Transduction and Biochemical Cycle Kinetics 1989   book DOI  
BibTeX:
@book{Book_Hill1989,
  author = {Hill, T. L.},
  title = {Free Energy Transduction and Biochemical Cycle Kinetics},
  publisher = {Springer-Verlag New York, Inc.},
  year = {1989},
  doi = {https://doi.org/10.1007/978-1-4612-3558-3}
}
Mandelbrot, B.B. Temperature Fluctuation: A Well-Defined and Unavoidable Notion 1989 Phys. Today
Vol. 42(1), pp. 71-73 
article DOI URL 
BibTeX:
@article{Mandelbrot1989_vol42,
  author = {Benoit B. Mandelbrot},
  title = {Temperature Fluctuation: A Well-Defined and Unavoidable Notion},
  journal = {Phys. Today},
  publisher = {AIP},
  year = {1989},
  volume = {42},
  number = {1},
  pages = {71--73},
  url = {http://link.aip.org/link/?PTO/42/71/1},
  doi = {https://doi.org/10.1063/1.2810881}
}
Moss, F. and McClintock, P.V.E. Computer experiments in non-linear stochastic physics 1989 Noise in Nonlinear Dynamical Systems  book URL 
BibTeX:
@book{Book_Moss1989,
  author = {Frank Moss and P. V. E. McClintock},
  title = {Computer experiments in non-linear stochastic physics},
  booktitle = {Noise in Nonlinear Dynamical Systems},
  publisher = {Cambridge University Press},
  year = {1989},
  url = {http://dx.doi.org/10.1017/CBO9780511897832}
}
Oono, Y. Large Deviation and Statistical Physics 1989 Progress of Theoretical Physics Supplement
Vol. 99, pp. 165-205 
article DOI  
Abstract: An attempt to unify statistical mechanics from the large deviation
theoretical point of view is described. Theory of large deviations has
already been applied to equilibrium statistical mechanics (mainly by
mathematicians). However, nonequilibrium statistical physics (or statistical
mechanics along the time axis) is a more interesting field to apply large
deviation theory. From the large deviation point of view we can unify
equilibrium statistical mechanics, statistical theory for chaos, for chaos,
theory of multifractals, statistical theory for (non-equilibrium) steady
states, and more. The point of view sheds light upon various foundational
questions about nonequilibrium as well as equilibrium statistical physics.
Although this paper contains expository parts for convenience and for the
promotion of this point of view, the main aim is to explore a sound basis for
nonequilibrium statistical physics.
BibTeX:
@article{Oono1989_vol99,
  author = {Oono, Yoshitsugu},
  title = {Large Deviation and Statistical Physics},
  journal = {Progress of Theoretical Physics Supplement},
  year = {1989},
  volume = {99},
  pages = {165--205},
  doi = {https://doi.org/10.1143/PTPS.99.165}
}
Risken, H. The Fokker-Planck Equation 1989   book  
BibTeX:
@book{Book_Risken1989,
  author = {H. Risken},
  title = {The Fokker-Planck Equation},
  publisher = {Springer, Berlin},
  year = {1989}
}
Russel, W., Saville, D. and Schowalter, W. Colloidal dispersions 1989   book  
BibTeX:
@book{Book_Russel1989,
  author = {Russel, W.B. and Saville, D.A and Schowalter, W.R.},
  title = {Colloidal dispersions},
  publisher = {Cambridge University Press},
  year = {1989}
}
Blanchard, C.H. Canonical transformations and time reversal 1988 American Journal of Physics
Vol. 56(12), pp. 1148-1149 
article DOI  
BibTeX:
@article{Blanchard1988vol56,
  author = {C. H. Blanchard},
  title = {Canonical transformations and time reversal},
  journal = {American Journal of Physics},
  publisher = {American Association of Physics Teachers (AAPT)},
  year = {1988},
  volume = {56},
  number = {12},
  pages = {1148--1149},
  doi = {https://doi.org/10.1119/1.15717}
}
Engel-Herbert, H. and Ebeling, W. The behaviour of the entropy during transitions far from thermodynamic equilibrium: I. Sustained oscillations 1988 Phys. A
Vol. 149(1?2), pp. 182-194 
article DOI URL 
BibTeX:
@article{Engel-Herbert1988_vol149,
  author = {Engel-Herbert, H. and Ebeling, W.},
  title = {The behaviour of the entropy during transitions far from thermodynamic equilibrium: I. Sustained oscillations},
  journal = {Phys. A},
  year = {1988},
  volume = {149},
  number = {1?2},
  pages = {182--194},
  url = {https://acces-distant.upmc.fr:443/http/www.sciencedirect.com/science/article/pii/0378437188902130},
  doi = {https://doi.org/10.1016/0378-4371(88)90213-0}
}
Greiner, A., Strittmatter, W. and Honerkamp, J. Numerical-integration of Stochastic Differential-equations 1988 J. Stat. Phys.
Vol. 51(1-2), pp. 95-108 
article DOI  
BibTeX:
@article{GREINER1988_vol51,
  author = {Greiner, A. and Strittmatter, W. and Honerkamp, J.},
  title = {Numerical-integration of Stochastic Differential-equations},
  journal = {J. Stat. Phys.},
  publisher = {Plenum Publ Corp},
  year = {1988},
  volume = {51},
  number = {1-2},
  pages = {95--108},
  doi = {https://doi.org/10.1007/BF01015322}
}
Tsallis, C. Possible generalization of Boltzmann-Gibbs statistics 1988 J. Stat. Phys.
Vol. 52, pp. 479-487 
article DOI URL 
BibTeX:
@article{Tsallis1988_vol52,
  author = {Tsallis, C.},
  title = {Possible generalization of Boltzmann-Gibbs statistics},
  journal = {J. Stat. Phys.},
  publisher = {Kluwer Academic Publishers-Plenum Publishers},
  year = {1988},
  volume = {52},
  pages = {479--487},
  url = {http://dx.doi.org/10.1007/BF01016429},
  doi = {https://doi.org/10.1007/BF01016429}
}
Wood, C. Materials for thermoelectric energy conversion 1988 Rep. Prog. Phys.
Vol. 51(4), pp. 459 
article URL 
Abstract: The field of thermoelectric energy conversion is reviewed from both a
theoretical and an experimental standpoint. The basic theory is introduced
and the thermodynamic and solid state views are compared. An overview of the
development of thermoelectric materials is presented with particular emphasis
being placed on the most recent developments in high-temperature
semiconductors. A number of possible device applications are discussed and
the successful use and suitability of these devices for space power is
manifest.
BibTeX:
@article{Wood1988_vol51,
  author = {C Wood},
  title = {Materials for thermoelectric energy conversion},
  journal = {Rep. Prog. Phys.},
  year = {1988},
  volume = {51},
  number = {4},
  pages = {459},
  url = {http://stacks.iop.org/0034-4885/51/i=4/a=001}
}
Claes, I. and Van den Broeck, C. Random walk with persistence 1987 J. Stat. Phys.
Vol. 49(1), pp. 383-392 
article DOI URL 
BibTeX:
@article{Claes1987_vol49,
  author = {Claes, I. and Van den Broeck, C.},
  title = {Random walk with persistence},
  journal = {J. Stat. Phys.},
  year = {1987},
  volume = {49},
  number = {1},
  pages = {383--392},
  url = {http://dx.doi.org/10.1007/BF01009970},
  doi = {https://doi.org/10.1007/BF01009970}
}
Damgaard, P.H. and H�ffel, H. Stochastic quantization 1987 Phys. Rep.
Vol. 152(5), pp. 227-398 
article DOI URL 
Abstract: Stochastic quantization provides a novel and interesting connection between
quantum field theory and statistical mechanics, with new applications also in
numerical simulations of field theories. This review article tries to present
as broad as possible the most relevant features of the Parisi-Wu approach of
stochastic quantization. It covers scalar, gauge, tensor and string field
theories, it discusses fermions and explores the intrinsic connection of
stochastic quantization to supersymmetry. Further topics are the large
N-limit, stochastic quantization in Minkowski space and stochastic
regularization. Finally we describe some rather recent developments
concerning the numerical possibilities associated with stochastic
quantization.
BibTeX:
@article{Damgaard1987_vol152,
  author = {Poul H. Damgaard and Helmuth H�ffel},
  title = {Stochastic quantization},
  journal = {Phys. Rep.},
  year = {1987},
  volume = {152},
  number = {5},
  pages = {227--398},
  url = {http://www.sciencedirect.com/science/article/pii/037015738790144X},
  doi = {https://doi.org/10.1016/0370-1573(87)90144-X}
}
Garrido, P., Labarta, A. and Marro, J. Stationary nonequilibrium states in the Ising model with locally competing temperatures 1987 J. Stat. Phys.
Vol. 49(3-4), pp. 551-568 
article DOI URL 
BibTeX:
@article{Garrido1987_vol49,
  author = {Garrido, P.L. and Labarta, A. and Marro, J.},
  title = {Stationary nonequilibrium states in the Ising model with locally competing temperatures},
  journal = {J. Stat. Phys.},
  publisher = {Kluwer Academic Publishers-Plenum Publishers},
  year = {1987},
  volume = {49},
  number = {3-4},
  pages = {551--568},
  url = {http://dx.doi.org/10.1007/BF01009348},
  doi = {https://doi.org/10.1007/BF01009348}
}
Hestenes, D. and Sobczyk, G. Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics 1987   book  
BibTeX:
@book{Hestenes1987vol,
  author = {D. Hestenes and G. Sobczyk},
  title = {Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics},
  publisher = {Kluwer Academic Publishers},
  year = {1987}
}
Sulpice, �., Lemarchand, A. and Lemarchand, H. Non-analytic stochastic potential for a local codimension-two bifurcation 1987 Phys. Lett. A
Vol. 121(2), pp. 67-70 
article DOI URL 
Abstract: The expansion around an extremum of the stationary ''stochastic potential'' U
is determined from a master equation analysis for a local codimension-two
bifurcation of a four-component chemical system. In general the full set of
the fourth derivatives of U is not well defined at the bifurcation point.
BibTeX:
@article{Sulpice1987_vol121,
  author = {Sulpice, �. and Lemarchand, A. and Lemarchand, H.},
  title = {Non-analytic stochastic potential for a local codimension-two bifurcation},
  journal = {Phys. Lett. A},
  year = {1987},
  volume = {121},
  number = {2},
  pages = {67--70},
  url = {http://www.sciencedirect.com/science/article/pii/0375960187902660},
  doi = {https://doi.org/10.1016/0375-9601(87)90266-0}
}
Bais, F., Barnes, K., Forgacs, P. and Zoupanos, G. Dimensional reduction of gauge theories yielding unified models spontaneously broken to SU3 texttimes U1 1986 Nuclear Physics B
Vol. 263(3-4), pp. 557-590 
article DOI  
BibTeX:
@article{Bais1986vol263,
  author = {F.A. Bais and K.J. Barnes and P. Forgacs and G. Zoupanos},
  title = {Dimensional reduction of gauge theories yielding unified models spontaneously broken to SU3 texttimes U1},
  journal = {Nuclear Physics B},
  publisher = {Elsevier BV},
  year = {1986},
  volume = {263},
  number = {3-4},
  pages = {557--590},
  doi = {https://doi.org/10.1016/0550-3213(86)90274-9}
}
Clifford Algebras and Their Applications in Mathematical Physics 1986   book DOI  
BibTeX:
@book{Chisholm1986vol,,
  title = {Clifford Algebras and Their Applications in Mathematical Physics},
  publisher = {Springer Netherlands},
  year = {1986},
  doi = {https://doi.org/10.1007/978-94-009-4728-3}
}
Hestenes, D. Clifford Algebra and the Interpretation of Quantum Mechanics 1986 Clifford Algebras and Their Applications in Mathematical Physics, pp. 321-346  book DOI URL 
Abstract: The Dirac theory has a hidden geometric structure. This talk traces the
conceptual steps taken to uncover that structure and points out significant
implications for the interpretation of quantum mechanics. The unit imaginary
in the Dirac equation is shown to represent the generator of rotations in a
spacelike plane related to the spin. This implies a geometric interpretation
for the generator of electromagnetic gauge transformations as well as for the
entire electroweak gauge group of the Weinberg-Salam model. The geometric
structure also helps to reveal closer connections to classical theory than
hitherto suspected, including exact classical solutions of the Dirac
equation.
BibTeX:
@book{Hestenes1986vol,
  author = {Hestenes, David},
  title = {Clifford Algebra and the Interpretation of Quantum Mechanics},
  booktitle = {Clifford Algebras and Their Applications in Mathematical Physics},
  publisher = {Springer Netherlands},
  year = {1986},
  pages = {321--346},
  url = {https://doi.org/10.1007/978-94-009-4728-3_27},
  doi = {https://doi.org/10.1007/978-94-009-4728-3_27}
}
Mou, C., Luo, J. and Nicolis, G. Stochastic thermodynamics of nonequilibrium steady states in chemical reaction systems 1986 J. Chem. Phys.
Vol. 84(12), pp. 7011-7017 
article DOI URL 
BibTeX:
@article{Mou1986_vol84,
  author = {Mou, C.Y. and Luo, J.L and Nicolis, G.},
  title = {Stochastic thermodynamics of nonequilibrium steady states in chemical reaction systems},
  journal = {J. Chem. Phys.},
  publisher = {AIP},
  year = {1986},
  volume = {84},
  number = {12},
  pages = {7011--7017},
  url = {http://link.aip.org/link/?JCP/84/7011/1},
  doi = {https://doi.org/10.1063/1.450623}
}
Peusner, L. Hierarchies of energy conversion processes III. Why are onsager equations reciprocal? The euclidean geometry of fluctuation-dissipation space 1986 Journal of Theoretical Biology
Vol. 122(2), pp. 125-155 
article  
BibTeX:
@article{Peusner1986vol122,
  author = {Leonardo Peusner},
  title = {Hierarchies of energy conversion processes III. Why are onsager equations reciprocal? The euclidean geometry of fluctuation-dissipation space},
  journal = {Journal of Theoretical Biology},
  publisher = {Elsevier},
  year = {1986},
  volume = {122},
  number = {2},
  pages = {125--155}
}
Peusner, L. Studies in network thermodynamics 1986
Vol. 5 
book DOI  
BibTeX:
@book{Peusner1986vol5,
  author = {Leonardo Peusner},
  title = {Studies in network thermodynamics},
  publisher = {Elsevier, Studies in modern thermodynamics.},
  year = {1986},
  volume = {5},
  doi = {ISBN 10: 0444425802 ISBN 13: 9780444425805}
}
Tierney, L. and Kadane, J.B. Accurate Approximations for Posterior Moments and Marginal Densities 1986 J. Am. Stat. Assoc.
Vol. 81(393), pp. 82-86 
article DOI URL 
BibTeX:
@article{Tierney1986_vol81,
  author = {Luke Tierney and Joseph B. Kadane},
  title = {Accurate Approximations for Posterior Moments and Marginal Densities},
  journal = {J. Am. Stat. Assoc.},
  year = {1986},
  volume = {81},
  number = {393},
  pages = {82--86},
  url = {http://www.tandfonline.com/doi/abs/10.1080/01621459.1986.10478240},
  doi = {https://doi.org/10.1080/01621459.1986.10478240}
}
Peusner, L. Network thermostatics 1985 The Journal of Chemical Physics
Vol. 83(3), pp. 1276-1291 
article DOI URL 
Abstract: The fundamental topological and metric assumptions of thermodynamic theory lead to a graphical representation related to some networks previously grouped under the label of network thermodynamics. This approach contains a high level of organized information about the thermodynamic manifold, covariant and contravariant vectors, the orthogonality of intensive and extensive quantities, and the connectivity of the manifold. It is shown that (1) the model leads to all classical results regarding Maxwell's reciprocities, the energy and entropy potentials, thermodynamic equations of state, Legendre transformations, the stability of the equilibrium state, etc.; (2) it imbeds the thermodynamic manifold of dimension n in a Euclidean space of dimension n(n+1)/2, in which all measurable quantities split in orthogonal directions-a procedure not related to the Gramm-Schmidt orthogonalization; (3) it provides a topological definition of the chemical potential which differs from the usual definition and introduces six new energy potentials which collapse into G,E,F, and H in the two-dimensional limit; (4) it introduces irreversible transformations which can transform frames of reference when no thermodynamic energy potential can be defined; (5) it summarizes all of Euclidean thermodynamics in two reciprocity relations which follow from the theorems of network theory-the general reciprocities for energy (GRE) and entropy (GRS)-and these are further unified into a single formula which relates, through a mixed bilinear expression, how interstate measurements are affected in Euclidean thermodynamics; (6) the reciprocity relation contains all variational results related to stability and is equivalent to any of the variational formulations-e.g., Euler's. Because the approach relates directly to several topological and graphical techniques used in various fields of chemistry, it has a high potential for application, and software is readily available to treat various families of problems.
BibTeX:
@article{Peusner1985vol83,
  author = {Leonardo Peusner},
  title = {Network thermostatics},
  journal = {The Journal of Chemical Physics},
  year = {1985},
  volume = {83},
  number = {3},
  pages = {1276-1291},
  url = {https://doi.org/10.1063/1.449444},
  doi = {https://doi.org/10.1063/1.449444}
}
Callen, H.B. Thermodynamics and an Introduction to Thermostatistics 1985   book  
BibTeX:
@book{Callen1985_vol,
  author = {Herbert B. Callen},
  title = {Thermodynamics and an Introduction to Thermostatistics},
  publisher = {Wiley, New York},
  year = {1985},
  edition = {2nd}
}
Horn, R.A. and Johnson, C.R. Matrix Analysis 1985   book  
BibTeX:
@book{Book_Horn1985,
  author = {Horn, R. A. and Johnson, C. R.},
  title = {Matrix Analysis},
  publisher = {Cambridge University Press},
  year = {1985}
}
Peliti, L. Path integral approach to birth-death processes on a lattice 1985 Journal de Physique
Vol. 46(9), pp. 1469-1483 
article DOI  
BibTeX:
@article{Peliti1985vol46,
  author = {L. Peliti},
  title = {Path integral approach to birth-death processes on a lattice},
  journal = {Journal de Physique},
  publisher = {EDP Sciences},
  year = {1985},
  volume = {46},
  number = {9},
  pages = {1469--1483},
  doi = {https://doi.org/10.1051/jphys:019850046090146900}
}
Peusner, L. Hierarchies of irreversible energy conversion systems. II. Network derivation of linear transport equations 1985 Journal of theoretical biology
Vol. 115(3), pp. 319-335 
article  
BibTeX:
@article{Peusner1985vol115,
  author = {Leonardo Peusner},
  title = {Hierarchies of irreversible energy conversion systems. II. Network derivation of linear transport equations},
  journal = {Journal of theoretical biology},
  publisher = {Elsevier},
  year = {1985},
  volume = {115},
  number = {3},
  pages = {319--335}
}
Peusner, L., Mikulecky, D., Bunow, B. and & Caplan, S. A network thermodynamic approach to Hill and Kin-Altman reaction diffusion kinetics. 1985 Journal of Chemical Physics.
Vol. 83, pp. 5559?5566 
book URL 
BibTeX:
@book{Peusner1985vol83a,
  author = {Peusner L., Mikulecky D., Bunow B., & Caplan S.},
  title = {A network thermodynamic approach to Hill and Kin-Altman reaction diffusion kinetics.},
  journal = {Journal of Chemical Physics.},
  year = {1985},
  volume = {83},
  pages = {5559?5566},
  url = {https://doi.org/10.1063/1.449678}
}
Qian, M. and Qian, M. The entropy production and irreversibility of Markov processes. 1985 Kexue Tongbao, Foreign Lang. Ed.
Vol. 30, pp. 445-447 
article  
Abstract: A probabilistic definition of the entropy production of stochastic processes
is given. This definition matches those expressions given by physicists in
terms of "flux" and "force" in some concrete cases [see e.g. J.
Schnakenberg
, Rev. Modern Phys. 48, 571-585 (1976)]. The entropy production
is a criterion to characterize how far a process is from reversibility. The
details will be published in the Proceedings of the Symposium of the First
World Congress of Bernoulli Society, Tashkent.
BibTeX:
@article{Qian1985_vol30,
  author = {Qian, Minping and Qian, Min},
  title = {The entropy production and irreversibility of Markov processes.},
  journal = {Kexue Tongbao, Foreign Lang. Ed.},
  year = {1985},
  volume = {30},
  pages = {445--447}
}
R. Kubo, M.T. and Hashitsume, N. Statistical Physics II 1985   book  
BibTeX:
@book{R.Kubo1985_vol,
  author = {R. Kubo, M. Toda and N. Hashitsume},
  title = {Statistical Physics II},
  publisher = {Springer},
  year = {1985}
}
Van den Broeck, C. Stochastic Thermodynamics 1985 Selforganisation by Nonlinear Irreversible Processes, pp. 57-61  article  
BibTeX:
@article{Broeck1985_vol,
  author = {Van den Broeck, C.},
  title = {Stochastic Thermodynamics},
  journal = {Selforganisation by Nonlinear Irreversible Processes},
  year = {1985},
  pages = {57--61}
}
Jeffrey, D. and Onishi, Y. The forces and couples acting on 2 nearly touching spheres in low-Reynolds-number flow 1984 ZAMP
Vol. {35}({5}), pp. {634-641} 
article DOI  
BibTeX:
@article{Jeffrey1984_vol35,
  author = {Jeffrey, D.J. and Onishi, Y.},
  title = {The forces and couples acting on 2 nearly touching spheres in low-Reynolds-number flow},
  journal = {ZAMP},
  publisher = {BIRKHAUSER VERLAG AG},
  year = {1984},
  volume = {35},
  number = {5},
  pages = {634--641},
  doi = {https://doi.org/10.1007/BF00952109}
}
Jeffrey, D.J. and Onishi, Y. Calculation of the resistance and mobility functions for two unequal rigid spheres in low-Reynolds-number flow 1984 J. Fluid Mech.
Vol. 139, pp. 261-290 
article DOI URL 
BibTeX:
@article{Jeffrey1984_vol139,
  author = {Jeffrey,D. J. and Onishi,Y.},
  title = {Calculation of the resistance and mobility functions for two unequal rigid spheres in low-Reynolds-number flow},
  journal = {J. Fluid Mech.},
  year = {1984},
  volume = {139},
  pages = {261--290},
  url = {http://dx.doi.org/10.1017/S0022112084000355},
  doi = {https://doi.org/10.1017/S0022112084000355}
}
Jiu-Li, L., Van den Broeck, C. and Nicolis, G. Stability criteria and fluctuations around nonequilibrium states 1984 Z. phys. B
Vol. 56, pp. 165-170 
article  
BibTeX:
@article{Jiu-Li1984_vol56,
  author = {Jiu-Li, L. and Van den Broeck, C. and Nicolis, G.},
  title = {Stability criteria and fluctuations around nonequilibrium states},
  journal = {Z. phys. B},
  year = {1984},
  volume = {56},
  pages = {165--170}
}
Laidler, K.J. The development of the Arrhenius equation 1984 J. Chem. Educ.
Vol. 61(6), pp. 494 
article DOI URL 
BibTeX:
@article{Laidler1984_vol61,
  author = {Laidler, Keith J.},
  title = {The development of the Arrhenius equation},
  journal = {J. Chem. Educ.},
  year = {1984},
  volume = {61},
  number = {6},
  pages = {494},
  url = {http://dx.doi.org/10.1021/ed061p494},
  doi = {https://doi.org/10.1021/ed061p494}
}
Gozzi, E. Functional-integral approach to Parisi-Wu stochastic quantization: Scalar theory 1983 Phys. Rev. D
Vol. 28, pp. 1922-1930 
article DOI URL 
BibTeX:
@article{Gozzi1983_vol28,
  author = {Gozzi, E.},
  title = {Functional-integral approach to Parisi-Wu stochastic quantization: Scalar theory},
  journal = {Phys. Rev. D},
  publisher = {American Physical Society},
  year = {1983},
  volume = {28},
  pages = {1922--1930},
  url = {http://link.aps.org/doi/10.1103/PhysRevD.28.1922},
  doi = {https://doi.org/10.1103/PhysRevD.28.1922}
}
Mitsui, T., Ito, F., Seya, Y. and Nakamoto, Y. Outline Of The 100 kw Ocean Thermal Energy Conversion Pilot Plant In The Republic Of Naure 1983 IEEE Transactions on Power Apparatus and Systems
Vol. {PAS}-102(9), pp. 3167-3171 
article DOI  
BibTeX:
@article{Mitsui1983volPAS102,
  author = {Tsuneo Mitsui and Fumio Ito and Yutaka Seya and Yasunobu Nakamoto},
  title = {Outline Of The 100 kw Ocean Thermal Energy Conversion Pilot Plant In The Republic Of Naure},
  journal = {IEEE Transactions on Power Apparatus and Systems},
  publisher = {Institute of Electrical and Electronics Engineers (IEEE)},
  year = {1983},
  volume = {PAS-102},
  number = {9},
  pages = {3167--3171},
  doi = {https://doi.org/10.1109/tpas.1983.318124}
}
Donsker, M.D. and Varadhan, S.R.S. Asymptotic evaluation of certain markov process expectations for large time. IV 1983 Commun.Pure Appl. Math.
Vol. 36(2), pp. 183-212 
article DOI URL 
BibTeX:
@article{Donsker1983_vol36,
  author = {Donsker, M. D. and Varadhan, S. R. S.},
  title = {Asymptotic evaluation of certain markov process expectations for large time. IV},
  journal = {Commun.Pure Appl. Math.},
  publisher = {Wiley Subscription Services, Inc., A Wiley Company},
  year = {1983},
  volume = {36},
  number = {2},
  pages = {183--212},
  url = {http://dx.doi.org/10.1002/cpa.3160360204},
  doi = {https://doi.org/10.1002/cpa.3160360204}
}
Peusner, L. Hierarchies of irreversible energy conversion systems: A network thermodynamic approach. I. Linear steady state without storage 1983 Journal of theoretical biology
Vol. 102(1), pp. 7-39 
article  
BibTeX:
@article{Peusner1983vol102,
  author = {Leonardo Peusner},
  title = {Hierarchies of irreversible energy conversion systems: A network thermodynamic approach. I. Linear steady state without storage},
  journal = {Journal of theoretical biology},
  publisher = {Elsevier},
  year = {1983},
  volume = {102},
  number = {1},
  pages = {7--39}
}
Van den Broeck, C. On the Relation between White Shot Noise, Gaussian White Noise, and the Dichotomic Markov Process 1983 J. Stat. Phys.
Vol. {31}({3}), pp. {467-483} 
article  
BibTeX:
@article{VandenBroeck1983_vol31,
  author = {Van den Broeck, C},
  title = {On the Relation between White Shot Noise, Gaussian White Noise, and the Dichotomic Markov Process},
  journal = {J. Stat. Phys.},
  publisher = {PLENUM PUBL CORP},
  year = {1983},
  volume = {31},
  number = {3},
  pages = {467--483}
}
Westerhoff, H.V., Hellingwerf, K.J. and Van Dam, K. Thermodynamic efficiency of microbial growth is low but optimal for maximal growth rate 1983 Proceedings of the National Academy of Sciences
Vol. 80(1), pp. 305-309 
article URL 
Abstract: Thermodynamic efficiency of microbial growth on substrates that are more
oxidized than biomass approaches 24%. This is the theoretical value for a
linear energy converter optimized for maximal output flow at optimal
efficiency. For growth on substrates more reduced than biomass, thermodynamic
efficiencies correspond to those predicted for optimization to maximal growth
rate (or yield) only.
BibTeX:
@article{Westerhoff1983_vol80,
  author = {Westerhoff, H. V. and Hellingwerf, K. J. and Van Dam, K.},
  title = {Thermodynamic efficiency of microbial growth is low but optimal for maximal growth rate},
  journal = {Proceedings of the National Academy of Sciences},
  year = {1983},
  volume = {80},
  number = {1},
  pages = {305--309},
  url = {http://www.pnas.org/content/80/1/305.abstract}
}
Cook, R.J. Lorentz covariance of photon dynamics 1982 Physical Review A
Vol. 26(5), pp. 2754-2760 
article DOI  
BibTeX:
@article{Cook1982vol26,
  author = {Cook, Richard J.},
  title = {Lorentz covariance of photon dynamics},
  journal = {Physical Review A},
  publisher = {American Physical Society (APS)},
  year = {1982},
  volume = {26},
  number = {5},
  pages = {2754--2760},
  doi = {https://doi.org/10.1103/physreva.26.2754}
}
Duval, C. and Horvathy, P. Particles with internal structure: The geometry of classical motions and conservation laws 1982 Annals of Physics
Vol. 142(1), pp. 10-33 
article DOI  
BibTeX:
@article{Duval1982vol142,
  author = {Christian Duval and Péter Horvathy},
  title = {Particles with internal structure: The geometry of classical motions and conservation laws},
  journal = {Annals of Physics},
  publisher = {Elsevier BV},
  year = {1982},
  volume = {142},
  number = {1},
  pages = {10--33},
  doi = {https://doi.org/10.1016/0003-4916(82)90226-3}
}
Henneaux, M. Remarks on spacetime symmetries and nonabelian gauge fields 1982 Journal of Mathematical Physics
Vol. 23(5), pp. 830-833 
article DOI  
BibTeX:
@article{Henneaux1982vol23,
  author = {Marc Henneaux},
  title = {Remarks on spacetime symmetries and nonabelian gauge fields},
  journal = {Journal of Mathematical Physics},
  publisher = {AIP Publishing},
  year = {1982},
  volume = {23},
  number = {5},
  pages = {830--833},
  doi = {https://doi.org/10.1063/1.525434}
}
Pitowsky, I. Resolution of the Einstein-Podolsky-Rosen and Bell Paradoxes 1982 Physical Review Letters
Vol. 48(19), pp. 1299-1302 
article DOI  
BibTeX:
@article{Pitowsky1982vol48,
  author = {Itamar Pitowsky},
  title = {Resolution of the Einstein-Podolsky-Rosen and Bell Paradoxes},
  journal = {Physical Review Letters},
  publisher = {American Physical Society (APS)},
  year = {1982},
  volume = {48},
  number = {19},
  pages = {1299--1302},
  doi = {https://doi.org/10.1103/physrevlett.48.1299}
}
Hestenes, D. Space-time structure of weak and electromagnetic interactions 1982 Foundations of Physics
Vol. 12(2), pp. 153-168 
article DOI  
BibTeX:
@article{Hestenes1982vol12,
  author = {David Hestenes},
  title = {Space-time structure of weak and electromagnetic interactions},
  journal = {Foundations of Physics},
  publisher = {Springer Science and Business Media LLC},
  year = {1982},
  volume = {12},
  number = {2},
  pages = {153--168},
  doi = {https://doi.org/10.1007/bf00736846}
}
Feynman, R.P. Statistical Mechanics - A set of Lectures 1982   book  
BibTeX:
@book{Book_Feynman1982,
  author = {Feynman, R. P.},
  title = {Statistical Mechanics - A set of Lectures},
  publisher = {W. A. Benjamin, Inc.},
  year = {1982}
}
Hänggi, P. and Thomas, H. Stochastic processes: Time evolution, symmetries and linear response 1982 Phys. Rep.
Vol. 88, pp. 207 
article DOI  
BibTeX:
@article{Hanggi1982_vol88,
  author = {Hänggi, P. and Thomas, H.},
  title = {Stochastic processes: Time evolution, symmetries and linear response},
  journal = {Phys. Rep.},
  year = {1982},
  volume = {88},
  pages = {207},
  doi = {https://doi.org/10.1016/0370-1573(82)90045-X}
}
Hill, T.L. On the one-dimensional steady-state Ising problem {1982} J. Chem. Phys.
Vol. {76}({2}), pp. {1122-1127} 
article DOI  
BibTeX:
@article{Hill1982_vol76,
  author = {Hill, T. L.},
  title = {On the one-dimensional steady-state Ising problem},
  journal = {J. Chem. Phys.},
  publisher = {AMER INST PHYSICS},
  year = {1982},
  volume = {76},
  number = {2},
  pages = {1122--1127},
  doi = {https://doi.org/10.1063/1.443080}
}
N. N. Bogoliubov, D.V.S. Quantum Fields 1982   book  
BibTeX:
@book{N.N.Bogoliubov1982vol,
  author = {N. N. Bogoliubov, D. V. Shirkov},
  title = {Quantum Fields},
  year = {1982},
  edition = {illustrated edition}
}
Westerhoff, H.V., Lolkema, J.S., Otto, R. and Hellingwerf, K.J. Thermodynamics of growth non-equilibrium thermodynamics of bacterial growth the phenomenological and the Mosaic approach 1982 Biochimica et Biophysica Acta (BBA)-Reviews on Bioenergetics
Vol. 683, pp. 181-220 
article DOI URL 
BibTeX:
@article{Westerhoff1982_vol683,
  author = {Hans V. Westerhoff and Juke S. Lolkema and Roel Otto and Klaas J. Hellingwerf},
  title = {Thermodynamics of growth non-equilibrium thermodynamics of bacterial growth the phenomenological and the Mosaic approach},
  journal = {Biochimica et Biophysica Acta (BBA)-Reviews on Bioenergetics},
  year = {1982},
  volume = {683},
  pages = {181--220},
  url = {http://www.sciencedirect.com/science/article/pii/0304417382900015},
  doi = {https://doi.org/10.1016/0304-4173(82)90001-5}
}
Giles, R. Reconstruction of gauge potentials from Wilson loops 1981 Phys. Rev. D
Vol. 24, pp. 2160-2168 
article DOI URL 
BibTeX:
@article{Giles1981_vol24,
  author = {Giles, R.},
  title = {Reconstruction of gauge potentials from Wilson loops},
  journal = {Phys. Rev. D},
  publisher = {American Physical Society},
  year = {1981},
  volume = {24},
  pages = {2160--2168},
  url = {https://link.aps.org/doi/10.1103/PhysRevD.24.2160},
  doi = {https://doi.org/10.1103/PhysRevD.24.2160}
}
Bochkov, G. and Kuzovlev, Y. Nonlinear fluctuation-dissipation relations and stochastic models in nonequilibrium thermodynamics: II. Kinetic potential and variational principles for nonlinear irreversible processes 1981 Phys. A
Vol. 106(3), pp. 480-520 
article DOI URL 
BibTeX:
@article{Bochkov1981_vol106,
  author = {G.N. Bochkov and Yu.E. Kuzovlev},
  title = {Nonlinear fluctuation-dissipation relations and stochastic models in nonequilibrium thermodynamics: II. Kinetic potential and variational principles for nonlinear irreversible processes},
  journal = {Phys. A},
  year = {1981},
  volume = {106},
  number = {3},
  pages = {480--520},
  url = {http://www.sciencedirect.com/science/article/pii/0378437181901230},
  doi = {https://doi.org/10.1016/0378-4371(81)90123-0}
}
Bochkov, G. and Kuzovlev, Y.E. Nonlinear fluctuation-dissipation relations and stochastic models in nonequilibrium thermodynamics: I. Generalized fluctuation-dissipation theorem 1981 Phys. A
Vol. 106(3), pp. 443-479 
article DOI URL 
BibTeX:
@article{Bochkov1981_vol106a,
  author = {G.N. Bochkov and Y. E. Kuzovlev},
  title = {Nonlinear fluctuation-dissipation relations and stochastic models in nonequilibrium thermodynamics: I. Generalized fluctuation-dissipation theorem},
  journal = {Phys. A},
  year = {1981},
  volume = {106},
  number = {3},
  pages = {443--479},
  url = {http://www.sciencedirect.com/science/article/pii/0378437181901229},
  doi = {https://doi.org/10.1016/0378-4371(81)90122-9}
}
Caroli, B., Caroli, C. and Roulet, B. Diffusion in a Bistable Potential: The Functional Integral Approach 1981 J. Stat. Phys.
Vol. 26Journal of Statistical Physics 
article  
BibTeX:
@article{Caroli1981_vol26,
  author = {Caroli, B. and Caroli, C. and Roulet, B.},
  title = {Diffusion in a Bistable Potential: The Functional Integral Approach},
  booktitle = {Journal of Statistical Physics},
  journal = {J. Stat. Phys.},
  year = {1981},
  volume = {26}
}
Hestenes, D. Geometry of the Dirac theory 1981 A Symposium on the Mathematics of Physical Space-Time, pp. 67-96  article  
BibTeX:
@article{hestenes1981geometry,
  author = {Hestenes, David},
  title = {Geometry of the Dirac theory},
  journal = {A Symposium on the Mathematics of Physical Space-Time},
  year = {1981},
  pages = {67--96}
}
Hill, T.L. Steady-State Head-to-tail polymerization of actin or microtubules 1981 Biophys. J.
Vol. 33, pp. 353-372 
article URL 
BibTeX:
@article{Hill1981_vol33,
  author = {Hill, T. L.},
  title = {Steady-State Head-to-tail polymerization of actin or microtubules},
  journal = {Biophys. J.},
  year = {1981},
  volume = {33},
  pages = {353--372},
  url = {http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1327435/}
}
Wood, H.G. and Morton, J.B. Onsager's pancake approximation for the fluid dynamics of a gas centrifuge 1980 Journal of Fluid Mechanics
Vol. 101(1), pp. 1-31 
article DOI  
BibTeX:
@article{Wood1980vol101,
  author = {Houston G. Wood and J. B. Morton},
  title = {Onsager's pancake approximation for the fluid dynamics of a gas centrifuge},
  journal = {Journal of Fluid Mechanics},
  publisher = {Cambridge University Press (CUP)},
  year = {1980},
  volume = {101},
  number = {1},
  pages = {1--31},
  doi = {https://doi.org/10.1017/s0022112080001504}
}
Jackiw, R. Introduction to the Yang-Mills quantum theory 1980 Reviews of Modern Physics
Vol. 52(4), pp. 661-673 
article DOI  
BibTeX:
@article{Jackiw1980vol52,
  author = {R. Jackiw},
  title = {Introduction to the Yang-Mills quantum theory},
  journal = {Reviews of Modern Physics},
  publisher = {American Physical Society (APS)},
  year = {1980},
  volume = {52},
  number = {4},
  pages = {661--673},
  doi = {https://doi.org/10.1103/revmodphys.52.661}
}
Jackiw, R. and Manton, N. Symmetries and conservation laws in gauge theories 1980 Annals of Physics
Vol. 127(2), pp. 257-273 
article DOI  
BibTeX:
@article{Jackiw1980vol127,
  author = {R Jackiw and N.S Manton},
  title = {Symmetries and conservation laws in gauge theories},
  journal = {Annals of Physics},
  publisher = {Elsevier BV},
  year = {1980},
  volume = {127},
  number = {2},
  pages = {257--273},
  doi = {https://doi.org/10.1016/0003-4916(80)90098-6}
}
Spohn, H. Kinetic equations from Hamiltonian dynamics: Markovian limits 1980 Rev. Mod. Phys.
Vol. 52, pp. 569-615 
review DOI URL 
BibTeX:
@review{Spohn1980_vol52,
  author = {Spohn, Herbert},
  title = {Kinetic equations from Hamiltonian dynamics: Markovian limits},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {1980},
  volume = {52},
  pages = {569--615},
  url = {http://link.aps.org/doi/10.1103/RevModPhys.52.569},
  doi = {https://doi.org/10.1103/RevModPhys.52.569}
}
Forgács, P. and Manton, N.S. Space-time symmetries in gauge theories 1980 Communications in Mathematical Physics
Vol. 72(1), pp. 15-35 
article DOI  
BibTeX:
@article{Forgacs1980vol72,
  author = {P. Forgács and N. S. Manton},
  title = {Space-time symmetries in gauge theories},
  journal = {Communications in Mathematical Physics},
  publisher = {Springer Science and Business Media LLC},
  year = {1980},
  volume = {72},
  number = {1},
  pages = {15--35},
  doi = {https://doi.org/10.1007/bf01200108}
}
Hill, T.L. Bioenergetic Aspects and Polymer Length Distribution In Steady-state Head-to-tail Polymerization of Actin Or Microtubules 1980 Proc. Natl. Acad. Sci. U.S.A.
Vol. 77(8), pp. 4803-4807 
article URL 
BibTeX:
@article{HILL1980_vol77,
  author = {Hill, T. L.},
  title = {Bioenergetic Aspects and Polymer Length Distribution In Steady-state Head-to-tail Polymerization of Actin Or Microtubules},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  publisher = {Natl Acad Sciences},
  year = {1980},
  volume = {77},
  number = {8},
  pages = {4803--4807},
  url = {http://www.pnas.org/content/77/8/4803.abstract}
}
Jackiw Invariance, Symmetry and Periodicity in Gauge Theories 1980 Acta Phys. Austr.Suppl.
Vol. XXII(383) 
article  
BibTeX:
@article{Jackiw1980vol,
  author = {Jackiw},
  title = {Invariance, Symmetry and Periodicity in Gauge Theories},
  journal = {Acta Phys. Austr.Suppl.},
  year = {1980},
  volume = {XXII},
  number = {383}
}
Jaynes, E.T. The Minimum Entropy Production Principle 1980 Annu. Rev. Phys. Chem.
Vol. 31(1), pp. 579-601 
article DOI  
BibTeX:
@article{Jaynes1980_vol31,
  author = {Jaynes, E T},
  title = {The Minimum Entropy Production Principle},
  journal = {Annu. Rev. Phys. Chem.},
  year = {1980},
  volume = {31},
  number = {1},
  pages = {579--601},
  doi = {https://doi.org/10.1146/annurev.pc.31.100180.003051}
}
Loyd, M. Crosswind kite power (for large-scale wind power production) 1980 J. Energy
Vol. 4(3), pp. 106 
article DOI  
BibTeX:
@article{Loyd1980_vol4,
  author = {Loyd, M.L.},
  title = {Crosswind kite power (for large-scale wind power production)},
  journal = {J. Energy},
  year = {1980},
  volume = {4},
  number = {3},
  pages = {106},
  doi = {https://doi.org/10.2514/3.48021}
}
Schnakenberg, J. and Tiedge, J. Bond graph representation of a photoreception model 1979 Journal of the Franklin Institute
Vol. 308(3), pp. 327-341 
article DOI  
BibTeX:
@article{Schnakenberg1979vol308,
  author = {J. Schnakenberg and J. Tiedge},
  title = {Bond graph representation of a photoreception model},
  journal = {Journal of the Franklin Institute},
  publisher = {Elsevier BV},
  year = {1979},
  volume = {308},
  number = {3},
  pages = {327--341},
  doi = {https://doi.org/10.1016/0016-0032(79)90121-2}
}
Cohen, J.E. Random evolutions and the spectral radius of a non-negative matrix 1979 Math. Proc. Cambridge Philos. Soc.
Vol. 86, pp. 345-350 
article DOI URL 
BibTeX:
@article{Cohen1979_vol86,
  author = {Cohen,Joel E.},
  title = {Random evolutions and the spectral radius of a non-negative matrix},
  journal = {Math. Proc. Cambridge Philos. Soc.},
  year = {1979},
  volume = {86},
  pages = {345--350},
  url = {http://journals.cambridge.org/article_S0305004100056164},
  doi = {https://doi.org/10.1017/S0305004100056164}
}
Grabert, H., Hänggi, P. and Talkner, P. Is quantum mechanics equivalent to a classical stochastic process? 1979 Phys. Rev. A
Vol. 19, pp. 2440-2445 
article DOI URL 
BibTeX:
@article{Grabert1979_vol19,
  author = {Grabert, Hermann and Hänggi, Peter and Talkner, Peter},
  title = {Is quantum mechanics equivalent to a classical stochastic process?},
  journal = {Phys. Rev. A},
  publisher = {American Physical Society},
  year = {1979},
  volume = {19},
  pages = {2440--2445},
  url = {https://link.aps.org/doi/10.1103/PhysRevA.19.2440},
  doi = {https://doi.org/10.1103/PhysRevA.19.2440}
}
Jouvet, B. and Phythian, R. Quantum aspects of classical and statistical fields 1979 Phys. Rev. A
Vol. 19, pp. 1350-1355 
article DOI URL 
BibTeX:
@article{Jouvet1979_vol19,
  author = {Jouvet, B. and Phythian, R.},
  title = {Quantum aspects of classical and statistical fields},
  journal = {Phys. Rev. A},
  publisher = {American Physical Society},
  year = {1979},
  volume = {19},
  pages = {1350--1355},
  url = {http://link.aps.org/doi/10.1103/PhysRevA.19.1350},
  doi = {https://doi.org/10.1103/PhysRevA.19.1350}
}
Munakata, T. Hydrodynamic Equations from Fokker-Planck Equations -Multiple Time Scale Method- 1979 J. Phys. Soc. Jpn.
Vol. 46(3), pp. 748-755 
article DOI  
BibTeX:
@article{Munakat1979_vol46,
  author = {Toyonori Munakata},
  title = {Hydrodynamic Equations from Fokker-Planck Equations -Multiple Time Scale Method-},
  journal = {J. Phys. Soc. Jpn.},
  year = {1979},
  volume = {46},
  number = {3},
  pages = {748--755},
  doi = {https://doi.org/10.1143/JPSJ.46.748}
}
Peterson, M.A. Analogy between thermodynamics and mechanics 1979 Am. J. Phys.
Vol. 47(6), pp. 488-490 
article DOI URL 
BibTeX:
@article{Peterson1979_vol47,
  author = {Mark A. Peterson},
  title = {Analogy between thermodynamics and mechanics},
  journal = {Am. J. Phys.},
  publisher = {AAPT},
  year = {1979},
  volume = {47},
  number = {6},
  pages = {488--490},
  url = {http://link.aip.org/link/?AJP/47/488/1},
  doi = {https://doi.org/10.1119/1.11788}
}
Perkins, G.A. A spinor equation of the pure electromagnetic field 1978 Foundations of Physics
Vol. 8(9-10), pp. 745-757 
article DOI  
BibTeX:
@article{Perkins1978vol8,
  author = {Granville A. Perkins},
  title = {A spinor equation of the pure electromagnetic field},
  journal = {Foundations of Physics},
  publisher = {Springer Science and Business Media LLC},
  year = {1978},
  volume = {8},
  number = {9-10},
  pages = {745--757},
  doi = {https://doi.org/10.1007/bf00717504}
}
Bergmann, P.G. and Flaherty, E.J. Symmetries in gauge theories 1978 Journal of Mathematical Physics
Vol. 19(1), pp. 212-214 
article DOI  
BibTeX:
@article{Bergmann1978vol19,
  author = {Peter G. Bergmann and Edward J. Flaherty},
  title = {Symmetries in gauge theories},
  journal = {Journal of Mathematical Physics},
  publisher = {AIP Publishing},
  year = {1978},
  volume = {19},
  number = {1},
  pages = {212--214},
  doi = {https://doi.org/10.1063/1.523540}
}
Hänggi, P. Correlation-functions and master-equations of generalized (Non-Markovian) Langevin equations 1978 Z. Phys. B
Vol. {31}({4}), pp. {407-416} 
article DOI  
BibTeX:
@article{Hanggi1978_vol31,
  author = {Hänggi, P.},
  title = {Correlation-functions and master-equations of generalized (Non-Markovian) Langevin equations},
  journal = {Z. Phys. B},
  publisher = {SPRINGER},
  year = {1978},
  volume = {31},
  number = {4},
  pages = {407--416},
  doi = {https://doi.org/10.1007/BF01351552}
}
Hänggi, P. Stochastic processes II: Response theory and fluctuation theorems 1978
Vol. 51, pp. 202 
article  
BibTeX:
@article{Hanggi1978_vol51,
  author = {Hänggi, P.},
  title = {Stochastic processes II: Response theory and fluctuation theorems},
  year = {1978},
  volume = {51},
  pages = {202}
}
Hänggi, P., Thomas, H., Grabert, H. and Talkner, P. Note On Time Evolution of Non-Markov Processes 1978 J. Stat. Phys.
Vol. 18(2), pp. 155-159 
article DOI  
BibTeX:
@article{HANGGI1978_vol18,
  author = {Hänggi, P. and Thomas, H. and Grabert, H. and Talkner, P.},
  title = {Note On Time Evolution of Non-Markov Processes},
  journal = {J. Stat. Phys.},
  publisher = {Plenum Publ Corp},
  year = {1978},
  volume = {18},
  number = {2},
  pages = {155--159},
  doi = {https://doi.org/10.1007/BF01014306}
}
T.Poston and Stewart, I. Catastrophe theory and its applications 1978   book  
BibTeX:
@book{Book_T.Poston1978,
  author = {T.Poston and I.N. Stewart},
  title = {Catastrophe theory and its applications},
  publisher = {Dover Publications, Inc., Meneola, New York},
  year = {1978}
}
Batchelor, G.K. The effect of Brownian motion on the bulk stress in a suspension of spherical particles 1977 J. Fluid Mech.
Vol. 83(01), pp. 97-117 
article DOI URL 
BibTeX:
@article{Batchelor1977_vol83,
  author = {Batchelor,G. K.},
  title = {The effect of Brownian motion on the bulk stress in a suspension of spherical particles},
  journal = {J. Fluid Mech.},
  year = {1977},
  volume = {83},
  number = {01},
  pages = {97--117},
  url = {http://dx.doi.org/10.1017/S0022112077001062},
  doi = {https://doi.org/10.1017/S0022112077001062}
}
Bochkov and Kuzovlev 1977 Zh. Eksp. Teor. Fiz.
Vol. 72, pp. 238 
article  
BibTeX:
@article{Bochkov1977vol72,
  author = {Bochkov and Kuzovlev},
  journal = {Zh. Eksp. Teor. Fiz.},
  year = {1977},
  volume = {72},
  pages = {238}
}
Gillespie, D.T. Exact Stochastic Simulation of Coupled Chemical-reactions 1977 Abstracts of Papers of the American Chemical Society
Vol. 173, pp. 128-128 
article  
BibTeX:
@article{Gillespie1977_vol173,
  author = {Gillespie, D. T.},
  title = {Exact Stochastic Simulation of Coupled Chemical-reactions},
  journal = {Abstracts of Papers of the American Chemical Society},
  publisher = {Amer Chemical Soc},
  year = {1977},
  volume = {173},
  pages = {128--128}
}
Hänggi, P. and Thomas, H. Time evolution, correlations, and linear response of non-Markov processes 1977 Z. Phys. B
Vol. 26, pp. 85-92 
article URL 
Abstract: We investigate the time evolution of stochastic non-Markov processes as they
occur in the coarse-grained description of open and closed systems. We show
that semigroups of propagators exist for all multivariate probability
distributions, the generators of which yield a set of time-convolutionless
master equations. We discuss the calculation of averages and time-correlation
functions. Further, linear response theory is developed for such a system. We
find that the response function cannot be expressed as an ordinary
time-correlation function. Some aspects of the theory are illustrated for the
two-state process and the Gauss process.
BibTeX:
@article{Haenggi1977_vol26,
  author = {Hänggi, P. and Thomas, H.},
  title = {Time evolution, correlations, and linear response of non-Markov processes},
  journal = {Z. Phys. B},
  publisher = {Springer Berlin / Heidelberg},
  year = {1977},
  volume = {26},
  pages = {85--92},
  note = {10.1007/BF01313376},
  url = {http://dx.doi.org/10.1007/BF01313376}
}
Landman, U., Montroll, E. and Shlesinger, M. Random-Walks and generalized master equations with internal degrees of freedom 1977 Proc. Natl. Acad. Sci. U.S.A.
Vol. 74({2}), pp. {430-433} 
article URL 
BibTeX:
@article{LANDMAN1977_vol74,
  author = {Landman, U. and Montroll, EW and Shlesinger, MF},
  title = {Random-Walks and generalized master equations with internal degrees of freedom},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  publisher = {NATL ACAD SCIENCES},
  year = {1977},
  volume = {74},
  number = {2},
  pages = {430--433},
  url = {http://www.pnas.org/content/74/2/430.full.pdf}
}
Nicolis, G. and Lefever, R. Comment on the kinetic potential and the Maxwell construction in non-equilibrium chemical phase transitions 1977 Phys. Lett. A
Vol. 62(7) 
article  
BibTeX:
@article{Nicolis1977_vol62,
  author = {G. Nicolis and R. Lefever},
  title = {Comment on the kinetic potential and the Maxwell construction in non-equilibrium chemical phase transitions},
  journal = {Phys. Lett. A},
  year = {1977},
  volume = {62},
  number = {7}
}
Nicolis, G. and Prigogine, I. Self organization in nonequilibrium systems 1977   book  
BibTeX:
@book{Nicolis1977vol,
  author = {Nicolis, G. and Prigogine, I.},
  title = {Self organization in nonequilibrium systems},
  publisher = {John Wiley and Sons, New York},
  year = {1977}
}
Nicolis, G. and Prigogine, I. Self-Organization in Nonequilibrium Systems: From Dissipative Structures to Order Through Fluctuations 1977   book  
BibTeX:
@book{Nicolis1977_vol,
  author = {Nicolis, G. and Prigogine, I.},
  title = {Self-Organization in Nonequilibrium Systems: From Dissipative Structures to Order Through Fluctuations},
  publisher = {Wiley, New York},
  year = {1977}
}
Nicolis, G. and Turner, J. Stochastic analysis of a nonequilibrium phase transition: some exact results 1977 Phys. A
Vol. 89, pp. 326-338 
article  
BibTeX:
@article{Nicolis1977_vol89,
  author = {G. Nicolis and J.W. Turner},
  title = {Stochastic analysis of a nonequilibrium phase transition: some exact results},
  journal = {Phys. A},
  year = {1977},
  volume = {89},
  pages = {326--338}
}
Phythian, R. The functional formalism of classical statistical dynamics 1977 J. Phys. A: Math. Gen.
Vol. 10(5), pp. 777 
article URL 
Abstract: A simple and general derivation of the functional formalism of classical
statistical dynamics of Martin, Siggia and Rose (see Phys. Rev., vol.A8,
p.423 (1973)) is presented without the necessity of introducing non-commuting
operators into the discussion. This is achieved by making use of functional
integral representations of the correlation and response functions of the
system. Some approximation procedures based on the functional integral
representation are briefly discussed.
BibTeX:
@article{Phythi1977_vol10,
  author = {R Phythian},
  title = {The functional formalism of classical statistical dynamics},
  journal = {J. Phys. A: Math. Gen.},
  year = {1977},
  volume = {10},
  number = {5},
  pages = {777},
  url = {http://stacks.iop.org/0305-4470/10/i=5/a=011}
}
Thoma, J.U. and Atlan, H. Network thermodynamics with entropy stripping 1977 Journal of the Franklin Institute
Vol. 303(4), pp. 319-328 
article DOI URL 
Abstract: Thermodynamic systems with variable mass, like liquid/vapor equilibria and chemical reactions, are represented as networks having discrete elements and connections using bond graph symbols. The mass bond has special properties which are explained by entropy and volume stripping and indicate the reason why the derivative of the free enthalpy, not the internal energy, is the driving effort of chemical reactions. Chemical friction is represented by RS-fields that dissipate power which is different from the observed heat rate of chemical reactions. Different reticulations apply to reactions near and far from chemical equilibrium; their relation to experimental reaction kinetics and order of reaction is discussed.
BibTeX:
@article{Thoma1977vol303,
  author = {Jean U. Thoma and Henri Atlan},
  title = {Network thermodynamics with entropy stripping},
  journal = {Journal of the Franklin Institute},
  year = {1977},
  volume = {303},
  number = {4},
  pages = {319-328},
  url = {https://www.sciencedirect.com/science/article/pii/0016003277901144},
  doi = {https://doi.org/10.1016/0016-0032(77)90114-4}
}
Doi, M. Second quantization representation for classical many-particle system 1976 Journal of Physics A: Mathematical and General
Vol. 9(9), pp. 1465-1477 
article DOI  
BibTeX:
@article{Doi1976vol9,
  author = {M Doi},
  title = {Second quantization representation for classical many-particle system},
  journal = {Journal of Physics A: Mathematical and General},
  publisher = {IOP Publishing},
  year = {1976},
  volume = {9},
  number = {9},
  pages = {1465--1477},
  doi = {https://doi.org/10.1088/0305-4470/9/9/008}
}
DOMINICIS, C.D. TECHNIQUES DE RENORMALISATION DE LA THÉORIE DES CHAMPS ET DYNAMIQUE DES PHÉNOMÈNES CRITIQUES 1976 Le Journal de Physique Colloques
Vol. 37(C1), pp. C1-247-C1-253 
article DOI  
BibTeX:
@article{DOMINICIS1976vol37,
  author = {C. DE DOMINICIS},
  title = {TECHNIQUES DE RENORMALISATION DE LA THÉORIE DES CHAMPS ET DYNAMIQUE DES PHÉNOMÈNES CRITIQUES},
  journal = {Le Journal de Physique Colloques},
  publisher = {EDP Sciences},
  year = {1976},
  volume = {37},
  number = {C1},
  pages = {C1--247--C1--253},
  doi = {https://doi.org/10.1051/jphyscol:1976138}
}
Adelman, S.A. Fokker?Planck equations for simple non-Markovian systems 1976 J. Chem. Phys.
Vol. 64, pp. 124 
article DOI  
BibTeX:
@article{Adelman1976_vol64,
  author = {Adelman, S. A.},
  title = {Fokker?Planck equations for simple non-Markovian systems},
  journal = {J. Chem. Phys.},
  year = {1976},
  volume = {64},
  pages = {124},
  doi = {https://doi.org/10.1063/1.431961}
}
Donsker, M.D. and Varadhan, S.R.S. Asymptotic evaluation of certain Markov process expectations for large time?III 1976 Commun.Pure Appl. Math.
Vol. 29(4), pp. 389-461 
article DOI URL 
BibTeX:
@article{Donsker1976_vol29,
  author = {Donsker, M. D. and Varadhan, S. R. S.},
  title = {Asymptotic evaluation of certain Markov process expectations for large time?III},
  journal = {Commun.Pure Appl. Math.},
  publisher = {Wiley Subscription Services, Inc., A Wiley Company},
  year = {1976},
  volume = {29},
  number = {4},
  pages = {389--461},
  url = {http://dx.doi.org/10.1002/cpa.3160290405},
  doi = {https://doi.org/10.1002/cpa.3160290405}
}
Landau, L.D. and Lifshitz, E. Mechanics, Course of Theoretical Physics 1976   book  
BibTeX:
@book{Book_Landau1976,
  author = {Landau, L. D. and Lifshitz, E.M.},
  title = {Mechanics, Course of Theoretical Physics},
  publisher = {Butterworth-Heinemann},
  year = {1976},
  edition = {3rd}
}
Rioux, C. L'utilisation du concept de viriel pour comparer les systèmes isolés accumulant de l'énergie 1976 Revue de Physique Appliquée
Vol. 11(5), pp. 617-628 
article DOI  
BibTeX:
@article{Rioux1976vol11,
  author = {C. Rioux},
  title = {L'utilisation du concept de viriel pour comparer les systèmes isolés accumulant de l'énergie},
  journal = {Revue de Physique Appliquée},
  publisher = {EDP Sciences},
  year = {1976},
  volume = {11},
  number = {5},
  pages = {617--628},
  doi = {https://doi.org/10.1051/rphysap:01976001105061700}
}
Schnakenberg, J. Network theory of microscopic and macroscopic behavior of master equation systems 1976 Rev. Mod. Phys.
Vol. 48, pp. 571-585 
article DOI URL 
BibTeX:
@article{Schnakenberg1976_vol48,
  author = {Schnakenberg, J.},
  title = {Network theory of microscopic and macroscopic behavior of master equation systems},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {1976},
  volume = {48},
  pages = {571--585},
  url = {http://link.aps.org/doi/10.1103/RevModPhys.48.571},
  doi = {https://doi.org/10.1103/RevModPhys.48.571}
}
Weinhold, F. Metric geometry of equilibrium thermodynamics 1975 The Journal of Chemical Physics
Vol. 63(6), pp. 2479-2483 
article DOI  
BibTeX:
@article{Weinhold1975vol63,
  author = {F. Weinhold},
  title = {Metric geometry of equilibrium thermodynamics},
  journal = {The Journal of Chemical Physics},
  publisher = {AIP Publishing},
  year = {1975},
  volume = {63},
  number = {6},
  pages = {2479--2483},
  doi = {https://doi.org/10.1063/1.431689}
}
Weinhold, F. Metric geometry of equilibrium thermodynamics. II. Scaling, homogeneity, and generalized Gibbs–Duhem relations 1975 The Journal of Chemical Physics
Vol. 63(6), pp. 2484-2487 
article DOI  
BibTeX:
@article{Weinhold1975vol63a,
  author = {F. Weinhold},
  title = {Metric geometry of equilibrium thermodynamics. II. Scaling, homogeneity, and generalized Gibbs–Duhem relations},
  journal = {The Journal of Chemical Physics},
  publisher = {AIP Publishing},
  year = {1975},
  volume = {63},
  number = {6},
  pages = {2484--2487},
  doi = {https://doi.org/10.1063/1.431635}
}
Weinhold, F. Metric geometry of equilibrium thermodynamics. III. Elementary formal structure of a vector-algebraic representation of equilibrium thermodynamics 1975 The Journal of Chemical Physics
Vol. 63(6), pp. 2488-2495 
article DOI  
BibTeX:
@article{Weinhold1975vol63b,
  author = {F. Weinhold},
  title = {Metric geometry of equilibrium thermodynamics. III. Elementary formal structure of a vector-algebraic representation of equilibrium thermodynamics},
  journal = {The Journal of Chemical Physics},
  publisher = {AIP Publishing},
  year = {1975},
  volume = {63},
  number = {6},
  pages = {2488--2495},
  doi = {https://doi.org/10.1063/1.431636}
}
Weinhold, F. Metric geometry of equilibrium thermodynamics. IV. Vector-algebraic evaluation of thermodynamic derivatives 1975 The Journal of Chemical Physics
Vol. 63(6), pp. 2496-2501 
article DOI  
BibTeX:
@article{Weinhold1975vol63c,
  author = {F. Weinhold},
  title = {Metric geometry of equilibrium thermodynamics. IV. Vector-algebraic evaluation of thermodynamic derivatives},
  journal = {The Journal of Chemical Physics},
  publisher = {AIP Publishing},
  year = {1975},
  volume = {63},
  number = {6},
  pages = {2496--2501},
  doi = {https://doi.org/10.1063/1.431637}
}
Landauer, R. Stability and entropy production in electrical circuits 1975 Journal of Statistical Physics
Vol. 13(1), pp. 1-16 
article DOI  
BibTeX:
@article{Landauer1975vol13,
  author = {R. Landauer},
  title = {Stability and entropy production in electrical circuits},
  journal = {Journal of Statistical Physics},
  publisher = {Springer Science and Business Media LLC},
  year = {1975},
  volume = {13},
  number = {1},
  pages = {1--16},
  doi = {https://doi.org/10.1007/bf01012596}
}
Bortz, A.B., Kalos, M.H. and Lebowitz, J.L. New Algorithm For Monte-carlo Simulation of Ising Spin Systems 1975 J. Comput. Phys.
Vol. 17(1), pp. 10-18 
article  
BibTeX:
@article{Bortz1975_vol17,
  author = {Bortz, A. B. and Kalos, M. H. and Lebowitz, J. L.},
  title = {New Algorithm For Monte-carlo Simulation of Ising Spin Systems},
  journal = {J. Comput. Phys.},
  publisher = {Academic Press Inc Jnl-comp Subscriptions},
  year = {1975},
  volume = {17},
  number = {1},
  pages = {10--18}
}
Curzon, F.L. and Ahlborn, B. Efficiency of A Carnot Engine At Maximum Power Output 1975 Am. J. Phys.
Vol. 43(1), pp. 22-24 
article DOI  
BibTeX:
@article{CURZON1975_vol43,
  author = {Curzon, F. L. and Ahlborn, B.},
  title = {Efficiency of A Carnot Engine At Maximum Power Output},
  journal = {Am. J. Phys.},
  publisher = {Amer Inst Physics},
  year = {1975},
  volume = {43},
  number = {1},
  pages = {22--24},
  doi = {https://doi.org/10.1119/1.10023}
}
Donsker, M.D. and Varadhan, S.R.S. Asymptotic evaluation of certain markov process expectations for large time, I 1975 Commun.Pure Appl. Math.
Vol. 28(1), pp. 1-47 
article DOI URL 
BibTeX:
@article{Donsker1975_vol28,
  author = {Donsker, M. D. and Varadhan, S. R. S.},
  title = {Asymptotic evaluation of certain markov process expectations for large time, I},
  journal = {Commun.Pure Appl. Math.},
  publisher = {Wiley Subscription Services, Inc., A Wiley Company},
  year = {1975},
  volume = {28},
  number = {1},
  pages = {1--47},
  url = {http://dx.doi.org/10.1002/cpa.3160280102},
  doi = {https://doi.org/10.1002/cpa.3160280102}
}
Donsker, M.D. and Varadhan, S.R.S. On a Variational Formula for the Principal Eigenvalue for Operators with Maximum Principle 1975 Proc. Natl. Acad. Sci. U.S.A.
Vol. 72(3), pp. 780-783 
article URL 
Abstract: In this paper a variational formula is obtained for the principal eigenvalue
for operators with maximum principle. This variational formula does not
require the operators to be self-adjoint. But if they are self-adjoint this
formula reduces to the classical Rayleigh-Ritz formula.
BibTeX:
@article{Donsker1975_vol72,
  author = {Donsker, Monroe D. and Varadhan, S. R. S.},
  title = {On a Variational Formula for the Principal Eigenvalue for Operators with Maximum Principle},
  journal = {Proc. Natl. Acad. Sci. U.S.A.},
  year = {1975},
  volume = {72},
  number = {3},
  pages = {780--783},
  url = {http://www.pnas.org/content/72/3/780.abstract}
}
Joachain, C. Quantum collision theory 1975   book  
BibTeX:
@book{Book_Joachain1975,
  author = {Joachain, C.},
  title = {Quantum collision theory},
  publisher = {North-Holland Publishing},
  year = {1975}
}
Graeser, Jean-Émile Abaque pour turbines hydrauliques 1974 Bulletin technique de la Suisse romande  article  
BibTeX:
@article{Graeser1974vol,
  author = {Graeser, Jean-Émile},
  title = {Abaque pour turbines hydrauliques},
  journal = {Bulletin technique de la Suisse romande},
  year = {1974}
}
Weiner, J.H. Hydrodynamic Analogy to the Hamilton-Jacobi Equation 1974 Am. J. Phys.
Vol. 42(11), pp. 1026-1028 
article DOI URL 
BibTeX:
@article{Weiner1974_vol42,
  author = {J. H. Weiner},
  title = {Hydrodynamic Analogy to the Hamilton-Jacobi Equation},
  journal = {Am. J. Phys.},
  year = {1974},
  volume = {42},
  number = {11},
  pages = {1026--1028},
  url = {http://dx.doi.org/10.1119/1.1987920},
  doi = {https://doi.org/10.1119/1.1987920}
}
Martin, P.C., Siggia, E.D. and Rose, H.A. Statistical Dynamics of Classical Systems 1973 Phys. Rev. A
Vol. 8, pp. 423-437 
article DOI URL 
BibTeX:
@article{Martin1973_vol8,
  author = {Martin, P. C. and Siggia, E. D. and Rose, H. A.},
  title = {Statistical Dynamics of Classical Systems},
  journal = {Phys. Rev. A},
  publisher = {American Physical Society},
  year = {1973},
  volume = {8},
  pages = {423--437},
  url = {http://link.aps.org/doi/10.1103/PhysRevA.8.423},
  doi = {https://doi.org/10.1103/PhysRevA.8.423}
}
Kittel, C. On the Nonexistence of Temperature Fluctuations in Small Systems 1973 Am. J. Phys.
Vol. 41(10), pp. 1211-1212 
article DOI URL 
BibTeX:
@article{Kittel1973_vol41,
  author = {C. Kittel},
  title = {On the Nonexistence of Temperature Fluctuations in Small Systems},
  journal = {Am. J. Phys.},
  publisher = {AAPT},
  year = {1973},
  volume = {41},
  number = {10},
  pages = {1211--1212},
  url = {http://link.aip.org/link/?AJP/41/1211/2},
  doi = {https://doi.org/10.1119/1.1987527}
}
Agarwal, G.S. Fluctuation dissipation theorems for systems in non thermal equilibrium and applications 1972 Z. Phys.
Vol. 252, pp. 25 
article  
BibTeX:
@article{Agarwal1972_vol252,
  author = {G. S. Agarwal},
  title = {Fluctuation dissipation theorems for systems in non thermal equilibrium and applications},
  journal = {Z. Phys.},
  year = {1972},
  volume = {252},
  pages = {25}
}
Anderson, P.W. More Is Different 1972 Science
Vol. 177(4047), pp. 393-396 
article DOI URL 
BibTeX:
@article{Anderson1972_vol177,
  author = {Anderson, P. W.},
  title = {More Is Different},
  journal = {Science},
  year = {1972},
  volume = {177},
  number = {4047},
  pages = {393--396},
  url = {http://www.sciencemag.org/content/177/4047/393.short},
  doi = {https://doi.org/10.1126/science.177.4047.393}
}
Horn, F. Necessary and sufficient conditions for complex balancing in chemical kinetics 1972 Arch. Ration. Mech. Anal.
Vol. 49(3), pp. 172-186 
article DOI URL 
Abstract: In a recent publication (Horn &amp; Jackson [1]) it was shown that complex
balancing together with mass action type rate laws ensures certain stability
properties of a kinetic system, thereby precluding sustained oscillations,
bistability and other types of irregular dynamics. In this paper a necessary
condition for complex balancing in general kinetics and necessary and
sufficient conditions for complex balancing in mass action systems are
derived. A theorem is stated which excludes the occurence of equilibria in
certain composition regions of general kinetic systems. For mass action
systems it is shown that it is sometimes true that the algebraic structure of
the reactions suffices to ensure complex balancing, while in other cases
complex balancing occurs only if certain relations between the rate constants
are satisfied. The number of these relations, called the deficiency of the
mass action system is determined by the algebraic structure of the set of
reactions underlying that system.
BibTeX:
@article{Horn1972_vol49,
  author = {Horn, F.},
  title = {Necessary and sufficient conditions for complex balancing in chemical kinetics},
  journal = {Arch. Ration. Mech. Anal.},
  year = {1972},
  volume = {49},
  number = {3},
  pages = {172--186},
  url = {http://dx.doi.org/10.1007/BF00255664},
  doi = {https://doi.org/10.1007/BF00255664}
}
Schlögl, F. Chemical reaction models for non-equilibrium phase transitions 1972 Zeitschrift für Physik
Vol. 253(2), pp. 147-161 
article DOI URL 
Abstract: Chemical model reactions are discussed the steady states of which show the
phenomenon of non equilibrium phase transitions. One example shows a phase
transition of second order, another one shows a phase transition of first
order. If diffusion occurs in the case of first order transition, coexistence
of two phases in different domains is possible. For plane boundary layers
between the domains the coexistence states are found by a construction
analogous to the Maxwellian construction of vapor pressure of a Van der Waals
gas. For spherical domains the coexistence dates change similarly as vapor
pressure of droplets or bubbles with radius.
BibTeX:
@article{Schloegl1972_vol253,
  author = {Schlögl, F.},
  title = {Chemical reaction models for non-equilibrium phase transitions},
  journal = {Zeitschrift für Physik},
  year = {1972},
  volume = {253},
  number = {2},
  pages = {147--161},
  url = {http://dx.doi.org/10.1007/BF01379769},
  doi = {https://doi.org/10.1007/BF01379769}
}
Oster, G., Perelson, A. and Katchalsky, A. Network Thermodynamics 1971 Nature
Vol. 234(5329), pp. 393-399 
article DOI  
BibTeX:
@article{OSTER1971vol234,
  author = {George Oster and Alan Perelson and Aharon Katchalsky},
  title = {Network Thermodynamics},
  journal = {Nature},
  publisher = {Springer Science and Business Media LLC},
  year = {1971},
  volume = {234},
  number = {5329},
  pages = {393--399},
  doi = {https://doi.org/10.1038/234393a0}
}
van Kampen, N.G. The case against linear response Theory 1971 Physica Norvegica
Vol. 5(3-4) 
article  
BibTeX:
@article{Kampen1971_vol5,
  author = {van Kampen, N. G.},
  title = {The case against linear response Theory},
  journal = {Physica Norvegica},
  year = {1971},
  volume = {5},
  number = {3-4}
}
Katchalsky, A. Polyelectrolytes 1971 Pure Appl. Chem.
Vol. 26, pp. 327-374 
article DOI  
BibTeX:
@article{Katchalsky1971_vol26,
  author = {Katchalsky, A.},
  title = {Polyelectrolytes},
  journal = {Pure Appl. Chem.},
  year = {1971},
  volume = {26},
  pages = {327--374},
  doi = {https://doi.org/10.1351/pac197126030327}
}
Oster, G.F. and Desoer, C.A. Tellegen's theorem and thermodynamic inequalities 1971 J. theor. Biiol., pp. 219-241  article  
BibTeX:
@article{Oster1971vol,
  author = {Oster, G. F. and Desoer, C. A.},
  title = {Tellegen's theorem and thermodynamic inequalities},
  journal = {J. theor. Biiol.},
  year = {1971},
  pages = {219--241}
}
Bedeaux, D., Shuler, K.E. and Oppenheim, I. Decay of correlations. III. Relaxation of spin correlations and distribution functions in the one-dimensional Ising lattice 1970 J. Stat. Phys.
Vol. 2, pp. 1-19 
article URL 
BibTeX:
@article{Bedeaux1970_vol2,
  author = {Bedeaux, D. and Shuler, K. E. and Oppenheim, I.},
  title = {Decay of correlations. III. Relaxation of spin correlations and distribution functions in the one-dimensional Ising lattice},
  journal = {J. Stat. Phys.},
  publisher = {Springer Netherlands},
  year = {1970},
  volume = {2},
  pages = {1--19},
  url = {http://dx.doi.org/10.1007/BF01009708}
}
Lanczos, C. The variational principles of Mechanics 1970   book  
BibTeX:
@book{Book_Lanczos1970,
  author = {Lanczos C.},
  title = {The variational principles of Mechanics},
  publisher = {Dover Publications Inc., New York},
  year = {1970},
  edition = {4th}
}
Lévy-Leblond, J.-M. Group-theoretical foundations of classical mechanics: The Lagrangian gauge problem 1969 Comm. Math. Phys.
Vol. 12(1), pp. 64-79 
article URL 
BibTeX:
@article{LevyLeblond1969vol12,
  author = {Lévy-Leblond, Jean-Marc},
  title = {Group-theoretical foundations of classical mechanics: The Lagrangian gauge problem},
  journal = {Comm. Math. Phys.},
  publisher = {Springer},
  year = {1969},
  volume = {12},
  number = {1},
  pages = {64--79},
  url = {https://projecteuclid.org:443/euclid.cmp/1103841310}
}
Pawula, R.F. Approximation of the Linear Boltzmann Equation by the Fokker-Planck Equation 1967 Phys. Rev.
Vol. 162, pp. 186-188 
article DOI URL 
BibTeX:
@article{Pawula1967_vol162,
  author = {Pawula, R. F.},
  title = {Approximation of the Linear Boltzmann Equation by the Fokker-Planck Equation},
  journal = {Phys. Rev.},
  publisher = {American Physical Society},
  year = {1967},
  volume = {162},
  pages = {186--188},
  url = {http://link.aps.org/doi/10.1103/PhysRev.162.186},
  doi = {https://doi.org/10.1103/PhysRev.162.186}
}
Bacry, H., Ruegg, H. and Souriau, J.-M. Dynamical groups and spherical potentials in Classical Mechanics 1966 Communications in Mathematical Physics
Vol. 3(5), pp. 323-333 
article DOI  
BibTeX:
@article{Bacry1966vol3,
  author = {Henri Bacry and Henri Ruegg and Jean-Marie Souriau},
  title = {Dynamical groups and spherical potentials in Classical Mechanics},
  journal = {Communications in Mathematical Physics},
  publisher = {Springer Science and Business Media LLC},
  year = {1966},
  volume = {3},
  number = {5},
  pages = {323--333},
  doi = {https://doi.org/10.1007/bf01645086}
}
Nelson, E. Derivation of the Schrödinger Equation from Newtonian Mechanics 1966 Phys. Rev.
Vol. 150, pp. 1079-1085 
article DOI URL 
BibTeX:
@article{Nelson1966_vol150,
  author = {Nelson, E.},
  title = {Derivation of the Schrödinger Equation from Newtonian Mechanics},
  journal = {Phys. Rev.},
  publisher = {American Physical Society},
  year = {1966},
  volume = {150},
  pages = {1079--1085},
  url = {http://link.aps.org/doi/10.1103/PhysRev.150.1079},
  doi = {https://doi.org/10.1103/PhysRev.150.1079}
}
Caplan, R.S. The degree of coupling and its relation to efficiency of energy conversion in multiple-flow systems 1966 J. Theor. Biol.
Vol. 10(2), pp. 209-235 
article DOI URL 
Abstract: Abstract The description of systems of two coupled flows in terms of their
"degree of coupling" (Kedem & Caplan, 1965) is extended to systems in which
more than two coupled flows occur. The degree of coupling between any pair of
flows is defined, and related to a generalized overall degree of coupling
between sets of flows. It is shown that the latter quantity becomes
particularly meaningful and amenable to measurement when a single driving
flow or energy input is present. As in two-flow systems, it is uniquely
related to the maximum efficiency of energy conversion; this is by virtue of
the fact that the overall degree of coupling, although not in general
independent of the forces or the flows, reaches a maximum value defined by
the phenomenological matrix in a particular series of stationary states.
These "maximum coupling states" are states of minimal entropy production
under conditions of energy conversion, and include as limiting cases the
states previously described as static head and level flow. The use of maximum
coupling and related stationary states in studying the energetics of
multiple-flow systems is discussed, special attention being paid to systems
in which the phenomenological coefficients are not constant. The outstanding
example of a multiple-flow system is the biological membrane, and an
experimental technique is described for obtaining, inter alia, the affinity
of the metabolic process driving active transport by measuring "fuel"
consumption under appropriate conditions. A determination of the basal
component of the fuel consumption without chemical alteration of the system
is feasible.
BibTeX:
@article{Caplan1966_vol10,
  author = {Roy S. Caplan},
  title = {The degree of coupling and its relation to efficiency of energy conversion in multiple-flow systems},
  journal = {J. Theor. Biol.},
  year = {1966},
  volume = {10},
  number = {2},
  pages = {209--235},
  url = {http://www.sciencedirect.com/science/article/pii/002251936690124X},
  doi = {https://doi.org/10.1016/0022-5193(66)90124-X}
}
Kubo, R. The fluctuation-dissipation theorem 1966 Rep. Prog. Phys.
Vol. 29(1), pp. 255 
article URL 
Abstract: The linear response theory has given a general proof of the
fluctuation-dissipation theorem which states that the linear response of a
given system to an external perturbation is expressed in terms of fluctuation
properties of the system in thermal equilibrium. This theorem may be
represented by a stochastic equation describing the fluctuation, which is a
generalization of the familiar Langevin equation in the classical theory of
Brownian motion. In this generalized equation the friction force becomes
retarded or frequency-dependent and the random force is no more white. They
are related to each other by a generalized Nyquist theorem which is in fact
another expression of the fluctuation-dissipation theorem. This point of view
can be applied to a wide class of irreversible process including collective
modes in many-particle systems as has already been shown by Mori. As an
illustrative example, the density response problem is briefly discussed.
BibTeX:
@article{Kubo1966_vol29,
  author = {R. Kubo},
  title = {The fluctuation-dissipation theorem},
  journal = {Rep. Prog. Phys.},
  year = {1966},
  volume = {29},
  number = {1},
  pages = {255},
  url = {http://stacks.iop.org/0034-4885/29/i=1/a=306}
}
Murtaza, G. SU 3 and three-particle states 1965 Il Nuovo Cimento A
Vol. 63(1), pp. 195-205 
article DOI  
BibTeX:
@article{Murtaza1965vol63,
  author = {G. Murtaza},
  title = {SU 3 and three-particle states},
  journal = {Il Nuovo Cimento A},
  publisher = {Springer Science and Business Media LLC},
  year = {1965},
  volume = {63},
  number = {1},
  pages = {195--205},
  doi = {https://doi.org/10.1007/bf02898821}
}
Jaynes, E.T. Gibbs vs Boltzmann Entropies 1965 AJP
Vol. 33, pp. 931 
article DOI  
Abstract: The status of the Gibbs and Boltzmann expressions for entropy has been a
matter of some confusion in the literature. We show that: (1) the Gibbs H
function yields the correct entropy as defined in phenomenological
thermodynamics; (2) the Boltzmann H yields an ?entropy? that is in error by a
nonnegligible amount whenever interparticle forces affect thermodynamic
properties; (3) Boltzmann's other interpretation of entropy, S?=?k?log?W, is
consistent with the Gibbs H, and derivable from it; (4) the Boltzmann H
theorem does not constitute a demonstration of the second law for dilute
gases; (5) the dynamical invariance of the Gibbs H gives a simple proof of
the second law for arbitrary interparticle forces; (6) the second law is a
special case of a general requirement for any macroscopic process to be
experimentally reproducible. Finally, the ?anthropomorphic? nature of
entropy, on both the statistical and phenomenological levels, is stressed.
BibTeX:
@article{Jaynes1965_vol33,
  author = {E. T. Jaynes},
  title = {Gibbs vs Boltzmann Entropies},
  journal = {AJP},
  year = {1965},
  volume = {33},
  pages = {931},
  doi = {https://doi.org/10.1119/1.1971557}
}
Katchalsky, A. and Curran, P.F. Nonequilibrium Thermodynamics in Biophysics 1965   book DOI URL 
BibTeX:
@book{Katchalsky1965vol,
  author = {Aharon Katchalsky and Peter F. Curran},
  title = {Nonequilibrium Thermodynamics in Biophysics},
  publisher = {Harvard University Press},
  year = {1965},
  url = {https://doi.org/10.4159/harvard.9780674494121},
  doi = {https://doi.org/10.4159/harvard.9780674494121}
}
Kedem, O. and Caplan, R.S. Degree of coupling and its relation to efficiency of energy conversion 1965 Trans. Faraday Soc.
Vol. 61, pp. 1897-1911 
article DOI URL 
BibTeX:
@article{Kedem1965_vol61,
  author = {Ora Kedem and Roy S. Caplan},
  title = {Degree of coupling and its relation to efficiency of energy conversion},
  journal = {Trans. Faraday Soc.},
  publisher = {The Royal Society of Chemistry},
  year = {1965},
  volume = {61},
  pages = {1897--1911},
  url = {http://dx.doi.org/10.1039/TF9656101897},
  doi = {https://doi.org/10.1039/TF9656101897}
}
Novikov, E. Functionals and random-force method in turbulence theory 1965 Sov. Phys.-JETP
Vol. 20({5}), pp. 1290 
article  
BibTeX:
@article{Novikov1965_vol20,
  author = {Novikov, E.A.},
  title = {Functionals and random-force method in turbulence theory},
  journal = {Sov. Phys.-JETP},
  publisher = {AMER INST PHYSICS},
  year = {1965},
  volume = {20},
  number = {5},
  pages = {1290}
}
Zwanzig, R. Time-Correlation Functions and Transport Coefficients in Statistical Mechanics 1965 Annu. Rev. Phys. Chem.
Vol. 16, pp. 67-102 
article DOI  
BibTeX:
@article{Zwanzig1965_vol16,
  author = {Zwanzig, R.},
  title = {Time-Correlation Functions and Transport Coefficients in Statistical Mechanics},
  journal = {Annu. Rev. Phys. Chem.},
  year = {1965},
  volume = {16},
  pages = {67--102},
  doi = {https://doi.org/10.1146/annurev.pc.16.100165.000435}
}
Bell, J.S. On the Einstein Podolsky Rosen paradox 1964 Physics Physique cyrcharcyrfcyrcharcyricyrcharcyrzcyrcharcyricyrcharcyrkcyrcharcyra
Vol. 1(3), pp. 195-200 
article DOI  
BibTeX:
@article{Bell1964vol1,
  author = {J. S. Bell},
  title = {On the Einstein Podolsky Rosen paradox},
  journal = {Physics Physique cyrcharcyrfcyrcharcyricyrcharcyrzcyrcharcyricyrcharcyrkcyrcharcyra},
  publisher = {American Physical Society (APS)},
  year = {1964},
  volume = {1},
  number = {3},
  pages = {195--200},
  doi = {https://doi.org/10.1103/physicsphysiquefizika.1.195}
}
Feynman, R.P. The Feynman Lectures Vol. 1 1963   book  
BibTeX:
@book{Book_Feynman1963_vol1,
  author = {Feynman, R. P.},
  title = {The Feynman Lectures Vol. 1},
  publisher = {Addison-Wesley publishing compagny, Inc.},
  year = {1963}
}
Feynman, R.P. The Feynman Lectures Vol. 2 1963   book  
BibTeX:
@book{Book_Feynman1963_vol2,
  author = {Feynman, R. P.},
  title = {The Feynman Lectures Vol. 2},
  publisher = {Addison-Wesley publishing compagny, Inc.},
  year = {1963}
}
Feynman, R.P. The Feynman Lectures Vol. 3 1963   book  
BibTeX:
@book{Book_Feynman1963_vol3,
  author = {Feynman, R. P.},
  title = {The Feynman Lectures Vol. 3},
  publisher = {Addison-Wesley publishing compagny, Inc.},
  year = {1963}
}
Glauber, R.J. Time-dependant Statistics of the Ising Model 1963 J. Math. Phys.
Vol. 4, pp. 294 
article DOI  
BibTeX:
@article{Glauber1963_vol4,
  author = {R. J. Glauber},
  title = {Time-dependant Statistics of the Ising Model},
  journal = {J. Math. Phys.},
  year = {1963},
  volume = {4},
  pages = {294},
  doi = {https://doi.org/10.1063/1.1703954}
}
Gell-Mann, M. Symmetries of Baryons and Mesons 1962 Physical Review
Vol. 125(3), pp. 1067-1084 
article DOI  
BibTeX:
@article{GellMann1962vol125,
  author = {Gell-Mann, Murray},
  title = {Symmetries of Baryons and Mesons},
  journal = {Physical Review},
  publisher = {American Physical Society (APS)},
  year = {1962},
  volume = {125},
  number = {3},
  pages = {1067--1084},
  doi = {https://doi.org/10.1103/physrev.125.1067}
}
Shockley, W. and Queisser, H.J. Detailed Balance Limit of Efficiency of p-n Junction Solar Cells 1961 Journal of Applied Physics
Vol. 32(3), pp. 510-519 
article DOI  
BibTeX:
@article{Shockley1961_vol32,
  author = {William Shockley and Hans J. Queisser},
  title = {Detailed Balance Limit of Efficiency of p-n Junction Solar Cells},
  journal = {Journal of Applied Physics},
  publisher = {AIP Publishing},
  year = {1961},
  volume = {32},
  number = {3},
  pages = {510--519},
  doi = {https://doi.org/10.1063/1.1736034}
}
Schwerdtfeger, H. Introduction to linear algebra and the theory of matrices 1961   book  
Abstract: Small random perturbations may have a dramatic impact on the long time
evolution of dynamical systems, and large deviation theory is often the right
theoretical framework to understand these effects. At the core of the theory
lies the minimization of an action functional, which in many cases of
interest has to be computed by numerical means. Here we review the
theoretical and computational aspects behind these calculations, and propose
an algorithm that simplifies the geometric minimum action method to minimize
the action in the space of arc-length parametrized curves. We then illustrate
this algorithm's capabilities by applying it to various examples from
material sciences, fluid dynamics, atmosphere/ocean sciences, and reaction
kinetics. In terms of models, these examples involve stochastic (ordinary or
partial) differential equations with multiplicative or degenerate noise,
Markov jump processes, and systems with fast and slow degrees of freedom,
which all violate detailed balance, so that simpler computational methods are
not applicable.
BibTeX:
@book{Book_Schwerdtfeger1961,
  author = {Schwerdtfeger, H.},
  title = {Introduction to linear algebra and the theory of matrices},
  publisher = {Noordhoff; second edition},
  year = {1961}
}
Hill, T.L. An Introduction to statisctial thermodynamics 1960   book  
BibTeX:
@book{Book_Hill1960,
  author = {Hill, T. L.},
  title = {An Introduction to statisctial thermodynamics},
  publisher = {Addison-Wesley publishing compagny, Inc.},
  year = {1960}
}
Yamamoto, T. Quantum Statistical Mechanical Theory of the Rate of Exchange Chemical Reactions in the Gas Phase 1960 J. Chem. Phys.
Vol. 33(1), pp. 281-289 
article DOI URL 
BibTeX:
@article{Yamamoto1960_vol33,
  author = {Yamamoto, T.},
  title = {Quantum Statistical Mechanical Theory of the Rate of Exchange Chemical Reactions in the Gas Phase},
  journal = {J. Chem. Phys.},
  year = {1960},
  volume = {33},
  number = {1},
  pages = {281--289},
  url = {http://scitation.aip.org/content/aip/journal/jcp/33/1/10.1063/1.1731099},
  doi = {https://doi.org/10.1063/1.1731099}
}
Moses, H.E. Solution of Maxwell's Equations in Terms of a Spinor Notation: the Direct and Inverse Problem 1959 Physical Review
Vol. 113(6), pp. 1670-1679 
article DOI  
BibTeX:
@article{Moses1959vol113,
  author = {Moses, H. E.},
  title = {Solution of Maxwell's Equations in Terms of a Spinor Notation: the Direct and Inverse Problem},
  journal = {Physical Review},
  publisher = {American Physical Society (APS)},
  year = {1959},
  volume = {113},
  number = {6},
  pages = {1670--1679},
  doi = {https://doi.org/10.1103/physrev.113.1670}
}
Chapouthier, P. Exposé introductif de M. Chapouthier : Notions générales sur les turbo-machines 1959 Turbines et pompes hydrauliques. Compte rendu des cinquiemes journées de l'hydraulique, Aix-en-Provence, 26, 27 et 28 juin 1958  inproceedings URL 
BibTeX:
@inproceedings{Chapouthier1959vol,
  author = {Chapouthier, Paul},
  title = {Exposé introductif de M. Chapouthier : Notions générales sur les turbo-machines},
  booktitle = {Turbines et pompes hydrauliques. Compte rendu des cinquiemes journées de l'hydraulique, Aix-en-Provence, 26, 27 et 28 juin 1958},
  year = {1959},
  note = {Included in a thematic issue : Turbines et pompes hydrauliques. Compte rendu des cinquiemes journées de l'hydraulique, Aix-en-Provence, 26, 27 et 28 juin 1958},
  url = {https://www.persee.fr/doc/jhydr_0000-0001_1959_act_5_1_3882}
}
Jaynes, E.T. Information Theory and Statistical Mechanics 1957 Phys. Rev.
Vol. 106, pp. 620-630 
article DOI URL 
BibTeX:
@article{Jaynes1957_vol106,
  author = {Jaynes, E. T.},
  title = {Information Theory and Statistical Mechanics},
  journal = {Phys. Rev.},
  publisher = {American Physical Society},
  year = {1957},
  volume = {106},
  pages = {620--630},
  url = {http://link.aps.org/doi/10.1103/PhysRev.106.620},
  doi = {https://doi.org/10.1103/PhysRev.106.620}
}
Good, R.H. Particle Aspect of the Electromagnetic Field Equations 1957 Physical Review
Vol. 105(6), pp. 1914-1919 
article DOI  
BibTeX:
@article{Good1957vol105,
  author = {Good, R. H.},
  title = {Particle Aspect of the Electromagnetic Field Equations},
  journal = {Physical Review},
  publisher = {American Physical Society (APS)},
  year = {1957},
  volume = {105},
  number = {6},
  pages = {1914--1919},
  doi = {https://doi.org/10.1103/physrev.105.1914}
}
Einstein, A. Investigations on the Theory of the Brownian Movement 1956   book  
BibTeX:
@book{einstein1956investigations,
  author = {Einstein, Albert},
  title = {Investigations on the Theory of the Brownian Movement},
  publisher = {Courier Corporation},
  year = {1956}
}
Mandelbrot, B. An outline of a purely phenomenological theory of statistical thermodynamics--I: Canonical ensembles 1956 Information Theory, IRE Transactions on
Vol. 2(3), pp. 190-203 
article DOI  
BibTeX:
@article{Mandelbrot1956_vol2,
  author = {Mandelbrot, B.},
  title = {An outline of a purely phenomenological theory of statistical thermodynamics--I: Canonical ensembles},
  journal = {Information Theory, IRE Transactions on},
  year = {1956},
  volume = {2},
  number = {3},
  pages = {190--203},
  doi = {https://doi.org/10.1109/TIT.1956.1056804}
}
Prigogine, I. Introduction to Thermodynamics of Irreversible Processes 1955   book  
BibTeX:
@book{Book_Prigogine1955,
  author = {Prigogine, I.},
  title = {Introduction to Thermodynamics of Irreversible Processes},
  publisher = {John Wiley and Sons, New York},
  year = {1955},
  edition = {2nd}
}
Parker, E.N. Tensor Virial Equations 1954 Physical Review
Vol. 96(6), pp. 1686-1689 
article DOI  
BibTeX:
@article{Parker1954vol96,
  author = {Eugene N. Parker},
  title = {Tensor Virial Equations},
  journal = {Physical Review},
  publisher = {American Physical Society (APS)},
  year = {1954},
  volume = {96},
  number = {6},
  pages = {1686--1689},
  doi = {https://doi.org/10.1103/physrev.96.1686}
}
Klein, M.J. and Meijer, P.H.E. Principle of Minimum Entropy Production 1954 Phys. Rev.
Vol. 96, pp. 250-255 
article DOI URL 
BibTeX:
@article{Klein1954_vol96,
  author = {Klein, M. J. and Meijer, P. H. E.},
  title = {Principle of Minimum Entropy Production},
  journal = {Phys. Rev.},
  publisher = {American Physical Society},
  year = {1954},
  volume = {96},
  pages = {250--255},
  url = {http://link.aps.org/doi/10.1103/PhysRev.96.250},
  doi = {https://doi.org/10.1103/PhysRev.96.250}
}
Domenicali, C.A. Irreversible Thermodynamics of Thermoelectricity 1954 Rev. Mod. Phys.
Vol. 26, pp. 237-275 
article DOI URL 
BibTeX:
@article{Domenicali1954_vol26,
  author = {Domenicali, Charles A.},
  title = {Irreversible Thermodynamics of Thermoelectricity},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {1954},
  volume = {26},
  pages = {237--275},
  url = {https://link.aps.org/doi/10.1103/RevModPhys.26.237},
  doi = {https://doi.org/10.1103/RevModPhys.26.237}
}
Bargmann, V. On Unitary Ray Representations of Continuous Groups 1954 The Annals of Mathematics
Vol. 59(1), pp. 1 
article DOI  
BibTeX:
@article{Bargmann1954vol59,
  author = {V. Bargmann},
  title = {On Unitary Ray Representations of Continuous Groups},
  journal = {The Annals of Mathematics},
  publisher = {JSTOR},
  year = {1954},
  volume = {59},
  number = {1},
  pages = {1},
  doi = {https://doi.org/10.2307/1969831}
}
Domenicali, C.A. Stationary Temperature Distribution in an Electrically Heated Conductor 1954 J. Appl. Phys.
Vol. 25(10), pp. 1310-1311 
article DOI URL 
BibTeX:
@article{Domenicali1954_vol25,
  author = {Domenicali,Charles A.},
  title = {Stationary Temperature Distribution in an Electrically Heated Conductor},
  journal = {J. Appl. Phys.},
  year = {1954},
  volume = {25},
  number = {10},
  pages = {1310--1311},
  url = {https://doi.org/10.1063/1.1721551},
  doi = {https://doi.org/10.1063/1.1721551}
}
Lee, T.D. and Yang, C.N. Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model 1952 Phys. Rev.
Vol. 87, pp. 410-419 
article DOI URL 
BibTeX:
@article{Lee1952_vol87,
  author = {Lee, T. D. and Yang, C. N.},
  title = {Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model},
  journal = {Phys. Rev.},
  publisher = {American Physical Society},
  year = {1952},
  volume = {87},
  pages = {410--419},
  url = {http://link.aps.org/doi/10.1103/PhysRev.87.410},
  doi = {https://doi.org/10.1103/PhysRev.87.410}
}
Yang, C.N. and Lee, T.D. Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation 1952 Phys. Rev.
Vol. 87, pp. 404-409 
article DOI URL 
BibTeX:
@article{Yang1952_vol87,
  author = {Yang, C. N. and Lee, T. D.},
  title = {Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation},
  journal = {Phys. Rev.},
  publisher = {American Physical Society},
  year = {1952},
  volume = {87},
  pages = {404--409},
  url = {http://link.aps.org/doi/10.1103/PhysRev.87.404},
  doi = {https://doi.org/10.1103/PhysRev.87.404}
}
Callen, H.B. and Welton, T.A. Irreversibility and Generalized Noise 1951 Phys. Rev.
Vol. 83(1), pp. 34-40 
article DOI  
BibTeX:
@article{Callen1951_vol83,
  author = {Callen, H. B. and Welton, T. A.},
  title = {Irreversibility and Generalized Noise},
  journal = {Phys. Rev.},
  publisher = {American Physical Society},
  year = {1951},
  volume = {83},
  number = {1},
  pages = {34--40},
  doi = {https://doi.org/10.1103/PhysRev.83.34}
}
Monod, J. The Growth of Bacterial Cultures 1949 Annu. Rev. Microbiol.
Vol. 3(1), pp. 371-394 
article DOI URL 
BibTeX:
@article{Monod1949,
  author = {Monod,J},
  title = {The Growth of Bacterial Cultures},
  journal = {Annu. Rev. Microbiol.},
  year = {1949},
  volume = {3},
  number = {1},
  pages = {371--394},
  url = {http://dx.doi.org/10.1146/annurev.mi.03.100149.002103},
  doi = {https://doi.org/10.1146/annurev.mi.03.100149.002103}
}
Callen, H.B. The Application of Onsager's Reciprocal Relations to Thermoelectric, Thermomagnetic, and Galvanomagnetic Effects 1948 Physical Review
Vol. 73(11), pp. 1349-1358 
article DOI  
BibTeX:
@article{Callen1948vol73,
  author = {Callen, Herbert B.},
  title = {The Application of Onsager's Reciprocal Relations to Thermoelectric, Thermomagnetic, and Galvanomagnetic Effects},
  journal = {Physical Review},
  publisher = {American Physical Society (APS)},
  year = {1948},
  volume = {73},
  number = {11},
  pages = {1349--1358},
  doi = {https://doi.org/10.1103/physrev.73.1349}
}
Feynman, R.P. Space-Time Approach to Non-Relativistic Quantum Mechanics 1948 Rev. Mod. Phys.
Vol. 20, pp. 367-387 
article DOI URL 
BibTeX:
@article{Feynman1948_vol20,
  author = {Feynman, R. P.},
  title = {Space-Time Approach to Non-Relativistic Quantum Mechanics},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {1948},
  volume = {20},
  pages = {367--387},
  url = {http://link.aps.org/doi/10.1103/RevModPhys.20.367},
  doi = {https://doi.org/10.1103/RevModPhys.20.367}
}
Chandrasekhar, S. Stochastic Problems in Physics and Astronomy 1943 Rev. Mod. Phys.
Vol. 15, pp. 1-89 
article DOI URL 
BibTeX:
@article{Chandrasekhar1943_vol15,
  author = {Chandrasekhar, S.},
  title = {Stochastic Problems in Physics and Astronomy},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {1943},
  volume = {15},
  pages = {1--89},
  url = {http://link.aps.org/doi/10.1103/RevModPhys.15.1},
  doi = {https://doi.org/10.1103/RevModPhys.15.1}
}
Derjaguin, B. On the repulsive forces between charged colloid particles and on the theory of slow coagulation and stability of lyophobe sols 1940 Trans. Faraday Soc.
Vol. 35, pp. 203-215 
article DOI URL 
BibTeX:
@article{Derjaguin1940_vol35,
  author = {Derjaguin, B.},
  title = {On the repulsive forces between charged colloid particles and on the theory of slow coagulation and stability of lyophobe sols},
  journal = {Trans. Faraday Soc.},
  publisher = {The Royal Society of Chemistry},
  year = {1940},
  volume = {35},
  pages = {203--215},
  url = {http://dx.doi.org/10.1039/TF9403500203},
  doi = {https://doi.org/10.1039/TF9403500203}
}
Feller, W. On the Integro-Differential Equations of Purely Discontinuous Markoff Processes 1940 Trans. Am. Math. Soc.
Vol. 48(3), pp. 488-515 
article URL 
BibTeX:
@article{Feller1940_vol48,
  author = {Feller, W.},
  title = {On the Integro-Differential Equations of Purely Discontinuous Markoff Processes},
  journal = {Trans. Am. Math. Soc.},
  year = {1940},
  volume = {48},
  number = {3},
  pages = {488--515},
  url = {Article Stable URL:
https://acces-distant.upmc.fr:443/http/www.jstor.org/stable/1990095} }
Wells, D.A. Application of the Lagrangian Equationsto Electrical Circuits 1938 Journal of applied physics
Vol. 9, pp. 312-320 
article  
BibTeX:
@article{Wells1938vol9,
  author = {D. A. Wells},
  title = {Application of the Lagrangian Equationsto Electrical Circuits},
  journal = {Journal of applied physics},
  year = {1938},
  volume = {9},
  pages = {312--320}
}
Durand, W.F. Aerodynamic Theory 1935   book DOI  
BibTeX:
@book{Durand1935vol,
  author = {Durand, William Frederick},
  title = {Aerodynamic Theory},
  publisher = {Springer Berlin Heidelberg},
  year = {1935},
  doi = {https://doi.org/10.1007/978-3-642-91487-4}
}
Glauert, H. Airplane Propellers 1935 Aerodynamic Theory, pp. 169-360  inbook DOI  
BibTeX:
@inbook{Glauert1935vol,
  author = {Glauert, H.},
  title = {Airplane Propellers},
  booktitle = {Aerodynamic Theory},
  publisher = {Springer Berlin Heidelberg},
  year = {1935},
  pages = {169--360},
  doi = {https://doi.org/10.1007/978-3-642-91487-4_3}
}
Kirkwood, J.G. Statistical Mechanics of Fluid Mixtures 1935 J. Chem. Phys.
Vol. 3(5), pp. 300-313 
article DOI URL 
BibTeX:
@article{Kirkwood1935_vol3,
  author = {Kirkwood, John G.},
  title = {Statistical Mechanics of Fluid Mixtures},
  journal = {J. Chem. Phys.},
  year = {1935},
  volume = {3},
  number = {5},
  pages = {300--313},
  url = {http://scitation.aip.org/content/aip/journal/jcp/3/5/10.1063/1.1749657},
  doi = {https://doi.org/10.1063/1.1749657}
}
Onsager, L. Reciprocal Relations in Irreversible Processes. II. 1931 Phys. Rev.
Vol. 38, pp. 2265-2279 
article DOI URL 
BibTeX:
@article{Onsager1931_vol38,
  author = {Lars Onsager},
  title = {Reciprocal Relations in Irreversible Processes. II.},
  journal = {Phys. Rev.},
  publisher = {American Physical Society},
  year = {1931},
  volume = {38},
  pages = {2265--2279},
  url = {http://link.aps.org/doi/10.1103/PhysRev.38.2265},
  doi = {https://doi.org/10.1103/PhysRev.38.2265}
}
Oppenheimer, J.R. Note on Light Quanta and the Electromagnetic Field 1931 Physical Review
Vol. 38(4), pp. 725-746 
article DOI  
BibTeX:
@article{Oppenheimer1931vol38,
  author = {Oppenheimer, J. R.},
  title = {Note on Light Quanta and the Electromagnetic Field},
  journal = {Physical Review},
  publisher = {American Physical Society (APS)},
  year = {1931},
  volume = {38},
  number = {4},
  pages = {725--746},
  doi = {https://doi.org/10.1103/physrev.38.725}
}
Laporte, O. and Uhlenbeck, G.E. Application of Spinor Analysis to the Maxwell and Dirac Equations 1931 Physical Review
Vol. 37(11), pp. 1380-1397 
article DOI  
BibTeX:
@article{Laporte1931vol37,
  author = {Laporte, Otto and Uhlenbeck, George E.},
  title = {Application of Spinor Analysis to the Maxwell and Dirac Equations},
  journal = {Physical Review},
  publisher = {American Physical Society (APS)},
  year = {1931},
  volume = {37},
  number = {11},
  pages = {1380--1397},
  doi = {https://doi.org/10.1103/physrev.37.1380}
}
Onsager, L. Reciprocal Relations in Irreversible Processes. I. 1931 Phys. Rev.
Vol. 37, pp. 405-426 
article DOI URL 
BibTeX:
@article{Onsager1931_vol37,
  author = {Lars Onsager},
  title = {Reciprocal Relations in Irreversible Processes. I.},
  journal = {Phys. Rev.},
  publisher = {American Physical Society},
  year = {1931},
  volume = {37},
  pages = {405--426},
  url = {http://link.aps.org/doi/10.1103/PhysRev.37.405},
  doi = {https://doi.org/10.1103/PhysRev.37.405}
}
Szilárd, L. On the decrease of entropy in a thermodynamic system by the intervention of intelligent beings 1929 Z. Phys.
Vol. 53, pp. 840-856 
article  
BibTeX:
@article{Szilard1929_vol53,
  author = {L. Szilárd},
  title = {On the decrease of entropy in a thermodynamic system by the intervention of intelligent beings},
  journal = {Z. Phys.},
  year = {1929},
  volume = {53},
  pages = {840--856}
}
Donder, T.D. L'Affinité 1927   book  
BibTeX:
@book{Book_Donder1927,
  author = {T. De Donder},
  title = {L'Affinité},
  publisher = {Lamertin, Bruxelles},
  year = {1927}
}
Buckingham, E. On Physically Similar Systems: Illustrations of the Use of Dimensional Equations 1914 Physical Review
Vol. 4(4), pp. 345-376 
article DOI  
BibTeX:
@article{Buckingham1914vol4,
  author = {E. Buckingham},
  title = {On Physically Similar Systems: Illustrations of the Use of Dimensional Equations},
  journal = {Physical Review},
  publisher = {American Physical Society (APS)},
  year = {1914},
  volume = {4},
  number = {4},
  pages = {345--376},
  doi = {https://doi.org/10.1103/physrev.4.345}
}
Macmillan, W.D. An Existence Theorem for Periodic Solutions 1912 Trans. Am. Math. Soc.
Vol. 13(2), pp. pp. 146-158 
article URL 
BibTeX:
@article{Macmillan1912_vol13,
  author = {Macmillan, William Duncan},
  title = {An Existence Theorem for Periodic Solutions},
  journal = {Trans. Am. Math. Soc.},
  publisher = {American Mathematical Society},
  year = {1912},
  volume = {13},
  number = {2},
  pages = {pp. 146--158},
  url = {http://www.jstor.org/stable/1988704}
}
Moulton, F.R. and MacMillan, W.D. On the Solutions of Certain Types of Linear Differential Equations with Periodic Coefficients 1911 Am. J. Math.
Vol. 33(1/4), pp. pp. 63-96 
article URL 
BibTeX:
@article{Moulton1911_vol33,
  author = {Moulton, F. R. and MacMillan, W. D.},
  title = {On the Solutions of Certain Types of Linear Differential Equations with Periodic Coefficients},
  journal = {Am. J. Math.},
  publisher = {The Johns Hopkins University Press},
  year = {1911},
  volume = {33},
  number = {1/4},
  pages = {pp. 63--96},
  url = {http://www.jstor.org/stable/2369987}
}
Sutherland, W. LXXV. A dynamical theory of diffusion for non-electrolytes and the molecular mass of albumin 1905 The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science
Vol. 9(54), pp. 781-785 
article DOI  
BibTeX:
@article{Sutherland1905vol9,
  author = {William Sutherland},
  title = {LXXV. A dynamical theory of diffusion for non-electrolytes and the molecular mass of albumin},
  journal = {The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science},
  publisher = {Informa UK Limited},
  year = {1905},
  volume = {9},
  number = {54},
  pages = {781--785},
  doi = {https://doi.org/10.1080/14786440509463331}
}
Einstein, A. Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen 1905 Annalen der Physik
Vol. 322(8), pp. 549-560 
article DOI  
BibTeX:
@article{Einstein1905vol322a,
  author = {A. Einstein},
  title = {Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen},
  journal = {Annalen der Physik},
  publisher = {Wiley},
  year = {1905},
  volume = {322},
  number = {8},
  pages = {549--560},
  doi = {https://doi.org/10.1002/andp.19053220806}
}
Floquet, G. Sur les �quations diff�rentielles lin�aires � coefficients p�riodiques 1883 Annales scientifiques de l'�cole Normale Sup�rieure
Vol. S�r. 2, 12, pp. 47-88 
article URL 
BibTeX:
@article{Floquet1883_volSer.212,
  author = {Floquet, G.},
  title = {Sur les �quations diff�rentielles lin�aires � coefficients p�riodiques},
  journal = {Annales scientifiques de l'�cole Normale Sup�rieure},
  year = {1883},
  volume = {S�r. 2, 12},
  pages = {47--88},
  url = {http://www.numdam.org/item?id=ASENS_1883_2_12__47_0}
}
Maxwell, J.C. Tait's "Thermodynamics" 1878 Nature
Vol. 17, pp. 278-280 
article DOI  
BibTeX:
@article{Maxwell1878_vol17,
  author = {J. C. Maxwell},
  title = {Tait's "Thermodynamics"},
  journal = {Nature},
  year = {1878},
  volume = {17},
  pages = {278--280},
  doi = {https://doi.org/10.1038/017278a0}
}
Carnot, S. Réflexions sur la puissance motrice du feu 1824   article  
BibTeX:
@article{Carnot1824_vol,
  author = {S. Carnot},
  title = {Réflexions sur la puissance motrice du feu},
  year = {1824}
}
Monteil, J.-M. Centrale a cycle combiné - Théorie, performances, modularité 200 Technique de l'ingénieur  article  
BibTeX:
@article{Monteil2003vol,
  author = {Jean-Marie Monteil},
  title = {Centrale a cycle combiné - Théorie, performances, modularité},
  journal = {Technique de l'ingénieur},
  year = {200}
}
  book  
BibTeX:
@book{,
}
  article  
BibTeX:
@article{SMref,,
  note = {Supplementary materials.}
}
Cinétique électrochimique   unpublished  
BibTeX:
@unpublished{Note_electrochimie,,
  title = {Cinétique électrochimique}
}
Planar ODE (hamiltonian systems)   unpublished  
BibTeX:
@unpublished{planarODE,,
  title = {Planar ODE (hamiltonian systems)},
  note = {Book chapter}
}
Arovas, D. Lecture Notes on Thermodynamics and Statistical Mechanics   unpublished URL 
BibTeX:
@unpublished{Notes_Arovas,
  author = {Daniel Arovas},
  title = {Lecture Notes on Thermodynamics and Statistical Mechanics},
  note = {2013},
  url = {https://courses.physics.ucsd.edu/2010/Spring/physics210a/lectures.html}
}
Chabane, L. De l'équation de Schrodinger pour l'opérateur densité à l'équation maîtresse   unpublished  
BibTeX:
@unpublished{Notes_Chabane,
  author = {L. Chabane},
  title = {De l'équation de Schrodinger pour l'opérateur densité à l'équation maîtresse},
  note = {(tiré de Kubo stat phys II p 77)}
}
Derrida, B. Velocity and diffusion constant of a periodic one-dimensional hopping model J. Stat. Phys.
Vol. 31(3), pp. 433-450 
article DOI URL 
Abstract: The velocity and the diffusion constant are obtained for a periodic
onedimensional hopping model of arbitrary periodN. These two quantities are
expressed as explicit functions of all the hopping rates. The velocity and
the diffusion constant of random systems are calculated by taking the limit
NtextrightarrowΒ. One finds by varying the distribution of hopping
rates that the diffusion constant and the velocity are singular at different
points. Lastly, several possible applications are proposed.
BibTeX:
@article{Derrida_vol31,
  author = {Derrida, Bernard},
  title = {Velocity and diffusion constant of a periodic one-dimensional hopping model},
  journal = {J. Stat. Phys.},
  volume = {31},
  number = {3},
  pages = {433--450},
  url = {http://dx.doi.org/10.1007/BF01019492},
  doi = {https://doi.org/10.1007/BF01019492}
}
Deserno, M. Van der Waals equation, Maxwell construction, and Legendre transforms   unpublished  
BibTeX:
@unpublished{Notes_van-der-Waals-and-Maxwell,
  author = {Markus Deserno},
  title = {Van der Waals equation, Maxwell construction, and Legendre transforms}
}
extraitBOOK Coarsening, from spin to continuous model   unpublished  
BibTeX:
@unpublished{Notes_extraitBOOK,
  author = {extraitBOOK},
  title = {Coarsening, from spin to continuous model}
}
Fitzpatrick, R. Introduction to Plasma Physics   unpublished  
BibTeX:
@unpublished{Notes_Fitzpatrick,
  author = {Richard Fitzpatrick},
  title = {Introduction to Plasma Physics},
  note = {University of Texas at Austin}
}
Goupil, C. Notes de cours : Transport-Meso, partie 2 Matrice S   unpublished  
BibTeX:
@unpublished{Notes_Goupil_a,
  author = {Christophe Goupil},
  title = {Notes de cours : Transport-Meso, partie 2 Matrice S}
}
groupprops subwiki The inner holomorph of dihedral group D8   electronic URL 
BibTeX:
@electronic{grouppropssubwikivol,
  author = {groupprops subwiki},
  title = {The inner holomorph of dihedral group D8},
  url = {https://groupprops.subwiki.org/wiki/Inner_holomorph_of_D8}
}
Hestenes, D. Space time calculus   unpublished URL 
BibTeX:
@unpublished{Notes_Hestenes,
  author = {D. Hestenes},
  title = {Space time calculus},
  url = {http://geocalc.clas.asu.edu/html/STC.html}
}
Lazarescu, A. Large deviation in statistical mechanics: from free energy to path integral   unpublished  
BibTeX:
@unpublished{Notes_Lazarescu2020,
  author = {Alexandre Lazarescu},
  title = {Large deviation in statistical mechanics: from free energy to path integral}
}
Lemarchand, A., Lemarchand, H. and Sulpice, E. Interaction of a Hopf bifurcation and a symmetry-breaking bifurcation: Stochastic potential and spatial correlations J. Stat. Phys.
Vol. 53(3), pp. 613-654 
article DOI URL 
Abstract: The multivariate master equation for a general reaction-diffusion system is
solved perturbatively in the stationary state, in a range of parameters in
which a symmetry-breaking bifurcation and a Hopf bifurcation occur
simultaneously. Thestochastic potential U is, in general, not analytic.
However, in the vicinity of the bifurcation point and under precise
conditions on the kinetic constants, it is possible to define a fourth-order
expansion ofU around the bifurcating fixed point. Under these conditions, the
domains of existence of different attractors, including spatiotemporal
structures as well as the spatial correlations of the fluctuations around
these attractors, are determined analytically. The role of fluctuations in
the existence and stability of the various patterns is pointed out.
BibTeX:
@article{Lemarchand_vol53,
  author = {Lemarchand, A. and Lemarchand, H. and Sulpice, E.},
  title = {Interaction of a Hopf bifurcation and a symmetry-breaking bifurcation: Stochastic potential and spatial correlations},
  journal = {J. Stat. Phys.},
  volume = {53},
  number = {3},
  pages = {613--654},
  url = {http://dx.doi.org/10.1007/BF01014217},
  doi = {https://doi.org/10.1007/BF01014217}
}
Macintoch Fluctuations and linear response   unpublished  
BibTeX:
@unpublished{Notes_Macintoch,
  author = {Macintoch},
  title = {Fluctuations and linear response}
}
Mallick, K. Notes manuscriptes sur les théorème de fluctuation   unpublished  
BibTeX:
@unpublished{Mallick_vol,
  author = {Mallick, K.},
  title = {Notes manuscriptes sur les théorème de fluctuation}
}
Mehen, T. Baker-Campbell-Hausdorff formula   article  
BibTeX:
@article{Notes-Mehen,
  author = {Thomas Mehen},
  title = {Baker-Campbell-Hausdorff formula}
}
Naik, V. Presentation of a group https://groupprops.subwiki.org/wiki/Presentation_of_a_group  electronic URL 
BibTeX:
@electronic{Naikvol,
  author = {Vipul Naik},
  title = {Presentation of a group},
  url = {https://groupprops.subwiki.org/wiki/Presentation_of_a_group}
}
Texier, C. Physique statistique des systèmes (faiblement) hors d'équilibre : formalisme de la réponse linéaire. Dissipation quantique. Transport électronique.   unpublished  
BibTeX:
@unpublished{Notes_Texier,
  author = {Texier, C.},
  title = {Physique statistique des systèmes (faiblement) hors d'équilibre : formalisme de la réponse linéaire. Dissipation quantique. Transport électronique.}
}
wikipedia Gillepsie algorithm, kinetic Monte Carlo   unpublished  
BibTeX:
@unpublished{Notes_wikipedia,
  author = {wikipedia},
  title = {Gillepsie algorithm, kinetic Monte Carlo}
}
WWF Climate Change: Why we need to take action Now   unpublished URL 
BibTeX:
@unpublished{Notes_WWF,
  author = {WWF},
  title = {Climate Change: Why we need to take action Now},
  url = {assets.panda.org/downloads/2_vs_3_degree_impacts_1oct06_1.pdf}
}