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The concept of entropy in nonequilibrium macroscopic systems is investigated in the light of an extended equation of motion for the density matrix obtained in a previous study. It is found that a time-dependent information entropy can be…

Statistical Mechanics · Physics 2009-11-10 W. T. Grandy

Nonequilibrium thermodynamics of a general second-order stochastic system is investigated. We prove that at steady state, under inversion of velocities, the condition of time-reversibility over the phase space is equivalent to the…

Statistical Mechanics · Physics 2015-10-28 Hao Ge

We reconsider general aspects of Galilean-invariant thermal field theory. Using the proposal of our companion paper, we recast non-relativistic hydrodynamics in a manifestly covariant way and couple it to a background spacetime. We examine…

High Energy Physics - Theory · Physics 2015-05-20 Kristan Jensen

The local entropy of a nonequilibrium system of independent fermions is investigated, and analyzed in the context of the laws of thermodynamics. It is shown that the local temperature and chemical potential can only be expressed in terms of…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Charles A. Stafford , Abhay Shastry

For a colloidal particle driven by a constant force across a periodic potential, we investigate the distribution of entropy production both experimentally and theoretically. For short trajectories, the fluctuation theorem holds…

Statistical Mechanics · Physics 2009-11-13 T. Speck , V. Blickle , C. Bechinger , U. Seifert

Two qualitatively different ways of driving a physical system out of equilibrium, time-dependent and non-conservative forcing, are reflected by the decomposition of the system's entropy production into excess and housekeeping parts. We show…

Statistical Mechanics · Physics 2022-01-10 Andreas Dechant , Shin-ichi Sasa , Sosuke Ito

In nonequilibrium thermodynamics macroscopic entropy creation plays an important role. Here we study, from various viewpoints, its relation with the phase space contraction, which has been recently proposed as an apparently alternative…

Statistical Mechanics · Physics 2007-05-23 Giovanni Gallavotti

In this note we have tried to determine how the existence of a local entropy current with non-negative divergence constrains the second order transport coefficients of an uncharged fluid, following the procedure described in…

High Energy Physics - Theory · Physics 2015-06-03 Sayantani Bhattacharyya

Entropy production provides a general way to state the second law of thermodynamics for non-equilibrium scenarios. In open quantum system dynamics, it also serves as a useful quantifier of the degree of irreversibility. In this work we shed…

Quantum Physics · Physics 2020-10-06 Giorgio Zicari , Matteo Brunelli , Mauro Paternostro

Although partition functions of finite-size systems are always analytic, and hence have no poles, they can be expressed in many cases as series containing terms with poles. Here we show that such poles can be related to linear branches of…

Statistical Mechanics · Physics 2010-03-29 H. Touchette , R. J. Harris , J. Tailleur

We study the partition functions of quantum impurity problems in the domain of complex applied bias for its relation to the non-equilibrium current suggested by Fendley, Lesage and Saleur (cond-mat/9510055). The problem is reformulated as a…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Sergei Skorik

Certain thermal non-equilibrium situations, outside of the astrophysical realm, suggest that entropy production extrema, instead of entropy extrema, are related to stationary states. In an effort to better understand the evolution of…

Astrophysics of Galaxies · Physics 2015-05-27 Eric I. Barnes , Liliya L. R. Williams

We analyse a non-equilibrium exclusion process in which particles are created and annihilated in pairs and hop to the the right or to the left with different transition rates, $p$ and $q$, respectively. We have studied the dynamics of a…

Statistical Mechanics · Physics 2016-01-20 M. O. Hase , T. Tomé , M. J. de Oliveira

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…

Statistical Mechanics · Physics 2025-04-28 Aaron Beyen , Christian Maes

A system can be driven out of equilibrium by both time-dependent and nonconservative forces, which gives rise to a decomposition of the dissipation into two non-negative components, called the excess and housekeeping entropy productions. We…

Statistical Mechanics · Physics 2023-05-31 Takuya Kamijima , Sosuke Ito , Andreas Dechant , Takahiro Sagawa

We derive the expressions of photon energy and particle currents inside an open nanosystem interacting with light using non-equilibrium Green's functions. The model allows different temperatures for the electron reservoirs, which basically…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Fabienne Michelini , Adeline Crépieux , Katawoura Beltako

We discuss contributions to the thermopower in an electron fluid. A simple argument based on Newton's second law with the pressure gradient as the force suggests that the thermopower is given by a thermodynamic derivative, viz., the entropy…

Statistical Mechanics · Physics 2024-01-22 J. Amarel , D. Belitz , T. R. Kirkpatrick

Using the techniques developed in arxiv: 1203.3544 we compute the universal part of the equilibrium partition function characteristic of a theory with multiple abelian U(1) anomalies in arbitrary even spacetime dimensions. This contribution…

High Energy Physics - Theory · Physics 2015-06-05 Nabamita Banerjee , Suvankar Dutta , Sachin Jain , R. Loganayagam , Tarun Sharma

Entropy in nonequilibrium statistical mechanics is investigated theoretically so as to extend the well-established equilibrium framework to open nonequilibrium systems. We first derive a microscopic expression of nonequilibrium entropy for…

Statistical Mechanics · Physics 2007-06-13 Takafumi Kita

The probability distribution of the total entropy production in the non-equilibrium steady state follows a symmetry relation called the fluctuation theorem. When a certain part of the system is masked or hidden, it is difficult to infer the…

Statistical Mechanics · Physics 2020-04-29 Deepak Gupta , Sanjib Sabhapandit