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The extension of equilibrium thermodynamics to non-equilibrium systems is based on the assumption of "local equilibrium," followed by the assumption that an entropy-density function may be defined, and that this entropy-density would have…

化学物理 · 物理学 2018-03-12 Arieh Ben-Naim

Nonequilibrium statistical mechanics close to equilibrium is studied using SRB states and a formula for their derivatives with respect to parameters. We write general expressions for the thermodynamic fluxes (or currents) and the transport…

chao-dyn · 物理学 2016-08-31 Giovannni Gallavotti , David Ruelle

This work presents a general unifying theoretical framework for quantum non-equilibrium systems. It is based on a re-statement of the dynamical problem as one of inferring the distribution of collision events that move a system toward…

量子物理 · 物理学 2015-03-30 David M. Rogers

Thermodynamic uncertainty relations have emerged as universal bounds on current fluctuations in non-equilibrium systems. Here we derive a new bound for a particular class of run-and-tumble type processes using the mathematical framework of…

统计力学 · 物理学 2019-07-02 Mayank Shreshtha , Rosemary J. Harris

A variant of continuous nonequilibrium thermodynamic theory based on the postulate of the scale invariance of the local relation between generalized fluxes and forces has been proposed. This single postulate replaces the assumptions on…

统计力学 · 物理学 2015-06-05 Leonid M. Martyushev , V. D. Seleznev

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,…

统计力学 · 物理学 2013-01-21 Marco Baiesi , Christian Maes

The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme…

统计力学 · 物理学 2022-06-30 Cillian Cockrell , Ian J Ford

The cross-exchange electron transfer expression arising from Marcus theory is deduced using Onsager's non-equilibrium Thermodynamics formalism.

化学物理 · 物理学 2008-01-03 Richa Sethi , M. V. Sangaranarayanan

Among various possible routes to extend entropy and thermodynamics to nonequilibrium steady states (NESS), we take the one which is guided by operational thermodynamics and the Clausius relation. In our previous study, we derived the…

统计力学 · 物理学 2013-02-13 Teruhisa S. Komatsu , Naoko Nakagawa , Shin-ichi Sasa , Hal Tasaki

Stochastic thermodynamics and the associated fluctuation relations provide the means to extend the fundamental laws of thermodynamics to small scales and systems out of equilibrium. The fluctuating thermodynamic variables are usually…

统计力学 · 物理学 2015-05-29 Aki Kutvonen , Tapio Ala-Nissilä , Jukka P. Pekola

Thermodynamic uncertainty relations (TURs) are a set of inequalities expressing a fundamental trade-off between precision and dissipation in non-equilibrium classical and quantum thermodynamic processes. TURs show that achieving low…

量子物理 · 物理学 2025-03-07 Mario Motta , Antonio Mezzacapo , Giacomo Guarnieri

We investigate far from equilibrium energy transport in strongly coupled quantum critical systems. Combining results from gauge-gravity duality, relativistic hydrodynamics, and quantum field theory, we argue that long-time energy transport…

高能物理 - 理论 · 物理学 2015-06-03 M. J. Bhaseen , Benjamin Doyon , Andrew Lucas , Koenraad Schalm

Using equilibrium fluctuations to understand the response of a physical system to an externally imposed perturbation is the basis for linear response theory, which is widely used to interpret experiments and shed light on microscopic…

统计力学 · 物理学 2024-06-24 Jérémie Klinger , Grant M. Rotskoff

We consider a quantum system driven out of equilibrium via a small Hamiltonian perturbation. Building on the paradigmatic framework of linear response theory (LRT), we derive an expression for the full generating function of the dissipated…

量子物理 · 物理学 2024-08-28 Giacomo Guarnieri , Jens Eisert , Harry J. D. Miller

The formalism of linear response theory can be extended to encompass physical situations where an open quantum system evolves towards a non-equilibrium steady-state. Here, we use the framework put forward by Konopik and Lutz [Phys. Rev.…

The second law of thermodynamics states that entropy production in macroscopic systems is non-negative, reaching zero only at thermodynamic equilibrium. As a corollary, this implies that the state trajectory of macroscopic systems is…

统计力学 · 物理学 2025-01-30 O. Politano , Alejandro L. Garcia , F. Baras , M. Malek Mansour

We develop a nonlinear generalisation of the causal linear thermodynamics of bulk viscosity, incorporating positivity of the entropy production rate and the effective specific entropy. The theory is applied to viscous fluid inflation (which…

天体物理学 · 物理学 2009-10-28 Roy Maartens , Vicenc Mendez

The purpose of this work is to discuss recent progress in deriving the fundamental laws of thermodynamics (0th, 1st and 2nd-law) from nonequilibrium quantum statistical mechanics. Basic thermodynamic notions are clarified and different…

数学物理 · 物理学 2007-05-23 Walid K. Abou Salem

The postulational basis of classical thermodynamics has been expanded to incorporate equilibrium fluctuations. The main additional elements of the proposed thermodynamic theory are the concept of quasi-equilibrium states, a definition of…

统计力学 · 物理学 2019-06-11 Y. Mishin

For the system with inhomogeneous distribution of macroscopic parameters we obtain thermodynamic relation which depends on the spatial point (coordinate). In our approach, to obtain such a relation we use the basic ideas of the method of…

统计力学 · 物理学 2025-09-24 A. P. Rebesh , B. I. Lev , A. G. Zagorodny