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There is a long-standing question of whether it is possible to extend the formalism of equilibrium thermodynamics to the case of non-equilibrium systems in steady states. We have made such an extension for an ideal gas in a heat flow…

Statistical Mechanics · Physics 2023-01-31 Robert Hołyst , Karol Makuch , Konrad Giżyński , Anna Maciołek , Paweł J. Żuk

Phenomenological nonequilibrium thermodynamics describes how fluxes of conserved quantities such as matter, energy and charge flow from outer reservoirs across a system, and how they irreversibly degrade from one form to another. Stochastic…

Statistical Mechanics · Physics 2016-11-15 Matteo Polettini , Gregory Bulnes Cuetara , Massimiliano Esposito

A two dimensional magnetic particle in the presence of an external magnetic field is studied. Equilibrium thermodynamical properties are derived by evaluating analytically the partition function. When the external field is applied…

Condensed Matter · Physics 2009-11-07 P. Vargas , D. Altbir , M. Knobel , D. Laroze

We propose a stochastic order parameter equation for describing phase coexistence in steady heat conduction near equilibrium. By analyzing the stochastic dynamics with a non-equilibrium adiabatic boundary condition, where total energy is…

Statistical Mechanics · Physics 2021-06-23 Shin-ichi Sasa , Naoko Nakagawa , Masato Itami , Yohei Nakayama

We use gauge/gravity duality to study the thermodynamics of a field theory with asymptotic freedom in the ultraviolet and a fixed point in the infrared. We find a high temperature quark-gluon phase and a low T conformal unparticle phase.…

High Energy Physics - Phenomenology · Physics 2010-04-21 J. Alanen , K. Kajantie

We establish the extended formalism for description of the static spherically symmetric relativistic non-equilibrium stellar systems in the formation of which the radiation pressure plays the key role. The main concept of this extended…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Alexander B. Balakin , Zagir Z. Tukbaev

Following the proposal of steady state thermodynamics (SST) by Oono and Paniconi, we develop a phenomenological theory for steady nonequilibrium states in systems with heat conduction. We find that there is essentially a unique consistent…

Statistical Mechanics · Physics 2007-05-23 Shin-ichi Sasa , Hal Tasaki

We study a small quantum system (e.g. a simplified model for an atom or molecule) interacting with two bosonic or fermionic reservoirs (say, photon or phonon fields). We show that the combined system has a family of stationary states,…

Mathematical Physics · Physics 2009-11-11 M. Merkli , M. Mueck , I. M. Sigal

The Tolman-Ehrenfest criterion of thermal equilibrium for a static fluid in a static spacetime is generalized to stationary heat conduction, in the approximation in which backreaction is negligible. Applying this generalized criterion to…

General Relativity and Quantum Cosmology · Physics 2024-11-27 Marcello Miranda , Massimiliano Rinaldi , Valerio Faraoni

A general formulation is presented to derive the equation of motion and to demonstrate thermodynamic consistency for several classes of phase field models at once. It applies to models with a conserved phase field, describing either uniform…

Materials Science · Physics 2011-05-06 Mowei Cheng , Stefaan Cottenier , Heike Emmerich

We study the issue of temperature in a steady system around a black hole event horizon, contrasting it with the appearance of divergence in a thermal equilibrium system. We focus on a spherically symmetric system governed by general…

General Relativity and Quantum Cosmology · Physics 2024-01-04 Hyeong-Chan Kim

We use the work done on and the heat removed from a system to maintain it in a nonequilibrium steady state for a thermodynamic-like description of such a system as well as of its fluctuations. Based on a generalized Onsager-Machlup theory…

Statistical Mechanics · Physics 2008-02-10 Tooru Taniguchi , E. G. D. Cohen

A steady state of a granular gas with homogeneous granular temperature, no mass flow, and nonzero heat flux is studied. The state is created by applying an external position--dependent force or by enclosing the grains inside a curved…

Statistical Mechanics · Physics 2016-10-31 Nagi Khalil

In this paper we study the near-field thermodynamics of a photon gas at equilibrium as well as out-of-equilibrium in the presence of dissipative effects. As a consequence of Heisenberg's uncertainty principle, we are able to eliminate the…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 Agustín Pérez-Madrid , Luciano Calheiros Lapas , Miguel Rubí

We present an example counter to the widely-accepted concept on equilibrium states that "Any thermodynamic equilibrium state of two component systems is determined by specifying 4 thermodynamic variables that include at least 1 extensive…

Soft Condensed Matter · Physics 2018-05-16 Yuki Norizoe , Toshihiro Kawakatsu

The thermodynamics of ideal gas on the noncommutative geometry in the coherent state formalism is investigated. We first evaluate the statistical interparticle potential and see that there are residual "attraction (repulsion) potential"…

High Energy Physics - Theory · Physics 2009-01-16 Wung-Hong Huang , Kuo-Wei Huang

We study the steady state of a three-level system in contact with a non-equilibrium environment, which is composed of two independent heat baths at different temperatures. We derive a master equation to describe the non-equilibrium process…

Quantum Physics · Physics 2015-06-05 Sheng-Wen Li , C. Y. Cai , C. P. Sun

Within the framework of relativistic quantum field theory, a novel method is established which allows to distinguish non-equilibrium states admitting locally a thermodynamic interpretation. The basic idea is to compare these states with…

High Energy Physics - Phenomenology · Physics 2015-06-25 Detlev Buchholz , Izumi Ojima , Hansjoerg Roos

We consider a Brownian particle in harmonic confinement of stiffness $k$, in one dimension in the underdamped regime. The whole setup is immersed in a heat bath at temperature $T$. The center of harmonic trap is dragged under any arbitrary…

Statistical Mechanics · Physics 2020-03-18 Deepak Gupta , Amos Maritan

Based on the recent work [1,2], we formulate the first law and the second law of stochastic thermodynamics in the framework of general relativity. These laws are established for a charged Brownian particle moving in a heat reservoir and…

General Relativity and Quantum Cosmology · Physics 2025-01-09 Tao Wang , Yifan Cai , Long Cui , Liu Zhao