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Constructing a thermodynamic framework for nonequilibrium systems remains a major challenge, as quantities such as temperature and free energy often become ambiguous when inferred solely from steady-state properties. Here we take a…

For open systems described by the quantum Markovian master equation, we study a possible extension of the Clausius equality to quasistatic operations between nonequilibrium steady states (NESSs). We investigate the excess heat divided by…

统计力学 · 物理学 2013-09-10 Tatsuro Yuge , Takahiro Sagawa , Ayumu Sugita , Hisao Hayakawa

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

We study thermodynamic operations which bring a nonequilibrium steady state (NESS) to another NESS in physical systems under nonequilibrium conditions. We model the system by a suitable Markov jump process, and treat thermodynamic…

统计力学 · 物理学 2018-08-02 Teruhisa S. Komatsu , Naoko Nakagawa , Shin-ichi Sasa , Hal Tasaki

Nonequilibrium steady state (NESS) is a quasistationary state, in which exist currents that continuously produce entropy, but the local observables are stationary everywhere. We propose a theory of NESS under the framework of quantum chaos.…

统计力学 · 物理学 2020-03-30 Pei Wang

We consider a macroscopic system in contact with boundary reservoirs and/or under the action of an external field. We discuss the case in which the external forcing depends explicitly on time and drives the system from a nonequilibrium…

统计力学 · 物理学 2015-06-05 L. Bertini , D. Gabrielli , G. Jona-Lasinio , C. Landim

We derive a geometrical expression of the excess entropy production for quasi-static transitions between nonequilibrium steady states of Markovian jump processes, which can be exactly applied to nonlinear and nonequilibrium situations. The…

统计力学 · 物理学 2015-05-30 Takahiro Sagawa , Hisao Hayakawa

A number of properties of systems in a nonequilibrium steady state (NESS) are investigated by a generalization of the Onsager-Machlup (OM) path integral approach for systems in an equilibrium state (ES). A thermodynamics formally identical…

统计力学 · 物理学 2008-07-24 E. G. D. Cohen

The fluctuations of macroscopic observables in quantum systems which are in a nonequilibrium steady state are studied rigorously in the thermodynamic limit. In particular, the nonequilibrium steady state (NESS) of a quantum spin system that…

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

A resistor-network picture of transitions is appropriate for the study of energy absorption by weakly chaotic or weakly interacting driven systems. Such "sparse" systems reach a novel non-equilibrium steady state (NESS) once coupled to a…

量子物理 · 物理学 2011-03-21 Daniel Hurowitz , Doron Cohen

A simple expression for the non-equilibrium distribution function in ultra-fast transient processes is proposed. Postulating its dependence on temporal derivatives of the equilibrium integrals of motion, non-equilibrium analogues of the…

统计力学 · 物理学 2025-02-18 K. S. Glavatskiy

Maintained by environmental fluxes, biological systems are thermodynamic processes that operate far from equilibrium without detailed-balance dynamics. Yet, they often exhibit well defined nonequilibrium steady states (NESSs). More…

统计力学 · 物理学 2017-08-02 P. M. Riechers , J. P. Crutchfield

We provide a stochastic thermodynamic description across scales for $N$ identical units with all-to-all interactions that are driven away from equilibrium by different reservoirs and external forces. We start at the microscopic level with…

统计力学 · 物理学 2020-07-07 Tim Herpich , Tommaso Cossetto , Gianmaria Falasco , Massimiliano Esposito

Ehrenfest urns with interaction that are connected in a ring is considered as a paradigm model for non-equilibrium thermodynamics and is shown to exhibit two distinct non-equilibrium steady states (NESS) of uniform and non-uniform particle…

统计力学 · 物理学 2021-06-03 Chi-Ho Cheng , Pik-Yin Lai

Quantum thermodynamics allows for the interconversion of quantum coherence and mechanical work. Quantum coherence is thus a potential physical resource for quantum machines. However, formulating a general nonequilibrium thermodynamics of…

量子物理 · 物理学 2025-11-05 Franklin L. S. Rodrigues , Eric Lutz

In this paper, we show that a nonequilibrium steady state (NESS) exists at late times in open quantum systems with weak nonlinearity by following its nonequilibrium dynamics with a perturbative analysis. Here we consider an oscillator chain…

量子物理 · 物理学 2020-09-14 Jing Yang , Jen-Tsung Hsiang , Andrew N. Jordan , B. L. Hu

The existence and uniqueness of a steady state for nonequilibrium systems (NESS) is a fundamental subject and a main theme of research in statistical mechanics for decades. For Gaussian systems, such as a chain of harmonic oscillators…

统计力学 · 物理学 2015-10-13 J. -T. Hsiang , B. L. Hu

Thermodynamics is a well developed tool to study systems in equilibrium but no such general framework is available for non-equilibrium processes. Only hope for a quantitative description is to fall back upon the equilibrium language as…

统计力学 · 物理学 2015-05-14 Poulomi Sadhukhan , Somendra M. Bhattacharjee

We study the scaling properties of the non-equilibrium stationary states (NESS) of a reaction-diffusion model. Under a suitable smallness condition, we show that the density of particles satisfies a law of large numbers with respect to the…

概率论 · 数学 2022-11-10 P. Gonçalves , M. Jara , R. Marinho , O. Menezes

We consider damped stochastic systems in a controlled (time-varying) quadratic potential and study their transition between specified Gibbs-equilibria states in finite time. By the second law of thermodynamics, the minimum amount of work…

统计力学 · 物理学 2018-03-23 Yongxin Chen , Tryphon Georgiou , Allen Tannenbaum
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