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The entropy production rate is a key quantity in non-equilibrium thermodynamics of both classical and quantum processes. No universal theory of entropy production is available to date, which hinders progress towards its full grasping. By…

Quantum Physics · Physics 2020-12-18 Alessio Belenchia , Luca Mancino , Gabriel T. Landi , Mauro Paternostro

We propose a method for inferring entropy production (EP) in high-dimensional stochastic systems, including many-body systems and non-Markovian systems with long memory. Standard techniques for estimating EP become intractable in such…

Statistical Mechanics · Physics 2026-02-20 Miguel Aguilera , Sosuke Ito , Artemy Kolchinsky

In hydrodynamics the existence of an entropy current with non-negative divergence is related to the existence of a time-independent solution in a static background. Recently there has been a proposal for how to construct an entropy current…

High Energy Physics - Theory · Physics 2015-06-19 Sayantani Bhattacharyya

Entropy production is one of the most important characteristics of non-equilibrium steady states. We study here the steady-state entropy production, both at short times as well as in the long-time limit, of two important classes of…

Statistical Mechanics · Physics 2015-05-27 Sven Dorosz , Michel Pleimling

Entropy production is a key quantity characterizing nonequilibrium systems. However, it can often be difficult to compute in practice, as it requires detailed information about the system and the dynamics it undergoes. This becomes even…

Quantum Physics · Physics 2022-04-13 Domingos S. P. Salazar

We establish that the nonequilibrium dynamics of most pure states gives rise to the same entropy production as that of the corresponding ensemble, provided the effective dimension of the ensemble is large enough. This establishes the…

Statistical Mechanics · Physics 2025-04-28 Philipp Strasberg , Joseph Schindler

Entropy serves as a central observable in equilibrium thermodynamics. However, many biological and ecological systems operate far from thermal equilibrium. Here we show that entropy production can characterize the behavior of such…

Statistical Mechanics · Physics 2015-03-17 Benjamin Andrae , Jonas Cremer , Tobias Reichenbach , Erwin Frey

We study the entropy production in non-equilibrium quantum systems without dissipation, which is generated exclusively by the spontaneous breaking of time-reversal invariance. Systems which preserve the total energy and particle number and…

Statistical Mechanics · Physics 2020-03-26 Mihail Mintchev , Paul Sorba

A rigorous derivation of nonequilibrium entropy production via the path-integral formalism is presented. Entropy production is defined as the entropy change piled in a heat reservoir as a result of a nonequilibrium thermodynamic process. It…

Statistical Mechanics · Physics 2015-10-28 Chulan Kwon

We study the entropy production in a macroscopic nonequilibrium system that undergoes an order-disorder phase transition. Entropy production is a characteristic feature of nonequilibrium dynamics with broken detailed balance. It is found…

Statistical Mechanics · Physics 2016-01-20 Pyoung-Seop Shim , Hyun-Myung Chun , Jae Dong Noh

The entropy production rate is central to the study of non-equilibrium systems. This parameter is closely connected to violation of time-reversal symmetry, energy consumption, efficiency, and other properties of interest; in short, it…

Statistical Mechanics · Physics 2026-05-28 John W. Biddle

Measuring entropy production of a system directly from the experimental data is highly desirable since it gives a quantifiable measure of the time-irreversibility for non-equilibrium systems and can be used as a cost function to optimize…

Statistical Mechanics · Physics 2024-07-16 Prashant Singh , Karel Proesmans

We consider a quantum spin system consisting of a finite subsystem connected to infinite reservoirs at different temperatures. In this setup we define nonequilibrium steady states and prove that the rate of entropy production in such states…

Mathematical Physics · Physics 2009-10-31 David Ruelle

Certain thermal non-equilibrium situations, outside of the astrophysical realm, suggest that entropy production extrema, instead of entropy extrema, are related to stationary states. In an effort to better understand the evolution of…

Astrophysics of Galaxies · Physics 2015-05-27 Eric I. Barnes , Liliya L. R. Williams

The entropy production rate of nonequilibrium systems is studied via the Fokker-Planck equation. This approach, based on the entropy production rate equation given by Schnakenberg from a master equation, requires information of the…

Statistical Mechanics · Physics 2015-08-10 Haitao Yu , Jiulin Du

Different notions of entropy play a fundamental role in the classical theory of dynamical systems. Unlike many other concepts used to analyze autonomous dynamics, both measure-theoretic and topological entropy can be extended quite…

Dynamical Systems · Mathematics 2017-08-03 Christoph Kawan

We evaluate entropy production in a photovoltaic cell that is modeled by four electronic levels resonantly coupled to thermally populated field modes at different temperatures. We use a formalism recently proposed, the so-called multiple…

Mesoscale and Nanoscale Physics · Physics 2017-05-22 Mohammad H. Ansari

We study the entropy production of a microscopic model for nonequilibrium wetting. We show that, in contrast to the equilibrium case, a bound interface in a nonequilibrium steady state produces entropy. Interestingly, in some regions of the…

Statistical Mechanics · Physics 2012-03-05 Andre Cardoso Barato , Haye Hinrichsen

Non-equilibrium stochastic dynamics of several active Brownian systems are modeled in terms of non-linear velocity dependent force. In general, this force may consist of both even and odd functions of velocity. We derive the expression for…

Statistical Mechanics · Physics 2016-09-14 Debasish Chaudhuri

Entropy production quantifies the breaking of time-reversal symmetry in non-equilibrium systems. Here, we develop a direct method to obtain closed, tractable expressions for entropy production in a broad class of dynamical density…

Statistical Mechanics · Physics 2026-02-03 Antonin Brossollet , Giulio Biroli