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We characterise the nonequilibrium stationary state of a generic multivariate Ornstein-Uhlenbeck process involving $N$ degrees of freedom. The irreversibility of the process is encoded in the antisymmetric part of the Onsager matrix. The…

Statistical Mechanics · Physics 2018-12-19 Claude Godrèche , Jean-Marc Luck

Reciprocal relations correlate fairly accurately a great variety of experimental results. Nevertheless, the concepts of statistical fluctuations, and microscopic reversibility - the bases of the accepted proof of the relations by Onsager -…

Chemical Physics · Physics 2007-05-23 Elias P. Gyftopoulos

Deriving macroscopic phenomenological laws of irreversible thermodynamics from simple microscopic models is one of the tasks of non-equilibrium statistical mechanics. We consider stationary energy transport in crystals with reference to…

Statistical Mechanics · Physics 2015-06-24 Stefano Lepri , Roberto Livi , Antonio Politi

We use a recently proved fluctuation theorem for the currents to develop the response theory of nonequilibrium phenomena. In this framework, expressions for the response coefficients of the currents at arbitrary orders in the thermodynamic…

Statistical Mechanics · Physics 2015-05-13 D. Andrieux , P. Gaspard

We study full counting statistics of coherent electron transport through multi-terminal interacting quantum-dots under a finite magnetic field. Microscopic reversibility leads to the symmetry of the cumulant generating function, which…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Keiji Saito , Yasuhiro Utsumi

We introduce a simplified model for a three-terminal quantum thermocouple consisting of two strongly-coupled quantum dots. To elucidate spin-dependent Seebeck and Peltier effects, we employ a microscopic Hamiltonian and map the Lindblad…

Mesoscale and Nanoscale Physics · Physics 2024-03-22 Nikhil Gupt , Shuvadip Ghosh , Arnab Ghosh

We study uncharged Rindler hydrodynamics at second order in the derivative expansion. The equation of state of the theory is given by a vanishing equilibrium energy density. We derive relations among the transport coefficients by employing…

High Energy Physics - Theory · Physics 2015-06-15 Adiel Meyer , Yaron Oz

The theory of linear stochastic thermodynamics is developed for periodically driven systems in contact with a single reservoir. Appropriate thermodynamic forces and fluxes are identified, starting from the entropy production for a Markov…

Statistical Mechanics · Physics 2016-02-26 Karel Proesmans , Bart Cleuren , Christian Van den Broeck

A multiscale theory of interacting continuum mechanics and thermodynamics of mixtures of fluids, electrodynamics, polarization and magnetization is proposed. The mechanical (reversible) part of the theory is constructed in a purely…

Classical Physics · Physics 2020-08-26 Petr Vagner , Michal Pavelka , Ogul Esen

We introduce the first simple mechanical system that shows fully realistic transport behavior while still being exactly solvable at the level of equilibrium statistical mechanics. The system under consideration is a Lorentz gas with fixed…

Statistical Mechanics · Physics 2009-10-31 C. Mejia-Monasterio , H. Larralde , F. Leyvraz

We continue our study of the linear response of a nonequilibrium system. This Part II concentrates on models of open and driven inertial dynamics but the structure and the interpretation of the result remain unchanged: the response can be…

Statistical Mechanics · Physics 2010-05-02 Marco Baiesi , Eliran Boksenbojm , Christian Maes , Bram Wynants

The variational approach usually used in phase field models (PFVA) is applied here to analyse complex irreversible processes such as thermoelectric (TE) effects and thermally driven mass transport (TDMT). Complex irreversible processes…

Statistical Mechanics · Physics 2015-01-05 Peng Zhou

A general analytical theory of temporal relaxation processes in isolated quantum systems with many degrees of freedom is elaborated, which unifies and substantially amends several previous approximations. Specifically, the Fourier transform…

Statistical Mechanics · Physics 2019-05-09 Peter Reimann

We present a discussion of the linear thermoelectric response of an interacting electron gas in a quantizing magnetic field. Boundary currents can carry a significant fraction of the net current passing through the system. We derive general…

Condensed Matter · Physics 2009-10-28 N. R. Cooper , B. I. Halperin , I. M. Ruzin

Exerting a nonequilibrium drive on an otherwise equilibrium Langevin process brings the dynamics out of equilibrium but can also speedup the approach to the Boltzmann steady-state. Transverse forces are a minimal framework to achieve…

Soft Condensed Matter · Physics 2024-09-19 Federico Ghimenti , Ludovic Berthier , Grzegorz Szamel , Frédéric van Wijland

Understanding how nonequilibrium systems respond to perturbations is a central challenge in physics. In this work, we establish mutual linearity in nonequilibrium overdamped Langevin systems. This theory provides a framework for controlling…

Statistical Mechanics · Physics 2026-05-11 Jiming Zheng , Zhiyue Lu

In this study, we investigate the linear transport of neutral system within the framework of relativistic kinetic theory. Under the relaxation time approximation, we obtain an iterative solution to the relativistic Boltzmann equation in…

General Relativity and Quantum Cosmology · Physics 2025-04-22 Long Cui , Xin Hao , Liu Zhao

The thermodynamic approach to non-equilibrium dynamics describes the state of macroscopic systems by means of a collection of intensities or intensive variables. The latter are by definition the differentials of the entropy with respect to…

chao-dyn · Physics 2008-02-03 Z. Hens , X. de Hemptinne

We investigate the thermodynamic uncertainty relations (TURs) in steady-state transport for a multi-terminal system consisting of two conducting terminals and N-2 probe terminals, within the linear response regime under broken time-reversal…

Statistical Mechanics · Physics 2026-01-07 Yanchao Zhang , Xinzhi Liu , Xiaolong Lü , Shanhe Su

We use a macroscopic description of a system of relativistic particles based on adding a nonequilibrium tensor to the usual hydrodynamic variables. The nonequilibrium tensor is linked to relativistic kinetic theory through a nonlinear…

Nuclear Theory · Physics 2015-06-12 J. Peralta-Ramos , E. Calzetta