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Non-equilibrium and equilibrium thermodynamics of an interacting component in a special-relativistic multi-component system is discussed by use of an entropy identity. The special case of the corresponding free component is considered.…

广义相对论与量子宇宙学 · 物理学 2018-06-06 Wolfgang Muschik

Non-equilibrium and equilibrium thermodynamics of an interacting component in a relativistic multi-component system is discussed covariantly by exploiting an entropy identity. The special case of the corresponding free component is…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Wolfgang Muschik

We extend the relative entropy identity to the class of hyperbolic-parabolic systems whose hyperbolic part is symmetrizable. The resulting identity, in the general theory, is useful to provide stability of viscous solutions and yields a…

偏微分方程分析 · 数学 2018-01-17 Cleopatra Christoforou , Athanasios Tzavaras

We discuss that the thermodynamics of composite systems with non-additive entropies and additive energies can be equivalently derived considering additive entropies and non-additive energies. The general discussion is illustrated by a…

统计力学 · 物理学 2007-05-23 Ramandeep S. Johal , Antoni Planes , Eduard Vives

A model of two-component relativistic fluid is considered, and the thermal nature of coupling between the fluid constituents is outlined. This thermal coupling is responsible for non-ideality of the fluid composite where the components are…

核理论 · 物理学 2011-08-16 Ernst Trojan , George V. Vlasov

On the basis of the balance equations for energy-momentum, spin, particle and entropy density, an approach is considered which represents a comparatively general framework for special- and general-relativistic continuum thermodynamics. In…

广义相对论与量子宇宙学 · 物理学 2009-11-13 W. Muschik , H. -H. v. Borzeszkowski

Mutual equilibrium in long-range interacting systems which involve nonadditive energy, is effectively described in terms of entropy with a nonadditive composition rule. As an example, long range Ising model is considered. The generality of…

统计力学 · 物理学 2016-08-31 Ramandeep S. Johal

It is argued that a typical many body energy eigenstate has a well defined thermodynamic entropy and that individual eigenstates possess thermodynamic characteristics analogous to those of generic isolated systems. We examine large systems…

统计力学 · 物理学 2015-05-14 J. M. Deutsch

We numerically determine the entropy for heat-conducting states, which is connected to the so-called excess heat considered as a basic quantity for steady-state thermodynamics in nonequilibrium. We adopt an efficient method to estimate the…

统计力学 · 物理学 2016-08-17 Yoshiyuki Chiba , Naoko Nakagawa

Using information entropy formalism, we consider a one-dimensional system with heat flux and extend the meaning of equilibrium variables to non equilibrium scenarios when classical local equilibrium approach is not applicable; this is…

统计力学 · 物理学 2019-09-10 Sergey Sobolev

It has long been known that the relative entropy of a non-equilibrium ensemble to the corresponding equilibrium ensemble is the excess free energy. We show that the reverse relative entropy also has a thermodynamic interpretation: it is the…

统计力学 · 物理学 2026-02-18 Gavin E. Crooks

This paper presents a thermodynamically consistent model for multicomponent electrolyte solutions. The first part of this paper derives the general governing equations for nonequilibrium systems within the theory of nonequilibrium…

偏微分方程分析 · 数学 2016-05-25 Matthias Herz , Peter Knabner

The thermodynamic definition of entropy can be extended to nonequilibrium systems based on its relation to information. To apply this definition in practice requires access to the physical system's microstates, which may be prohibitively…

统计力学 · 物理学 2020-08-21 Gil Ariel , Haim Diamant

The underlying connection between the degrees of freedom of a system and its nonextensive thermodynamic behavior is addressed. The problem is handled by starting from a thermodynamical system with fractal structure and its analytical…

统计力学 · 物理学 2021-09-17 A. Deppman , J. A. S. Lima

Multi-component molecular machines are ubiquitous in biology. We review recent progress on describing their thermodynamic properties using autonomous bipartite Markovian dynamics. The first and second laws can be split into local versions…

统计力学 · 物理学 2023-04-10 Jannik Ehrich , David A. Sivak

The approach to a substantiation of thermodynamics is offered. A conservative system of interacting elements, which is not in equilibrium, is used as a model. This system is then split into small subsystems that are accepted as being in…

统计力学 · 物理学 2007-05-23 V. M. Somsikov

The energies of a pair of strongly-interacting subsystems with arbitrary noninteger charges are examined from closed and open system perspectives. An ensemble representation of the charge dependence is derived, valid at all interaction…

其他凝聚态物理 · 物理学 2009-11-11 Steven M. Valone , Susan R. Atlas

In this paper we develop a generalized formalism for equilibrium thermodynamic systems when an information is shared between the system and the reservoir. The information results in a correction to the entropy of the system. This extension…

统计力学 · 物理学 2013-05-10 Alessio Gagliardi , Aldo Di Carlo

A thermodynamic-like formalism is developed for superstatistical systems based on conditional entropies. This theory takes into account large-scale variations of intensive variables of systems in nonequilibrium stationary states. Ordinary…

统计力学 · 物理学 2009-11-13 Sumiyoshi Abe , Christian Beck , E. G. D. Cohen

The recent interest in aspects common to quantum information and condensed matter has prompted a prosperous activity at the border of these disciplines that were far distant until few years ago. Numerous interesting questions have been…

量子物理 · 物理学 2008-11-26 Luigi Amico , Rosario Fazio , Andreas Osterloh , Vlatko Vedral
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