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Entropy is a central concept in physics, but can be challenging to calculate even for systems that are easily simulated. This is exacerbated out of equilibrium, where generally little is known about the distribution characterizing simulated…

统计力学 · 物理学 2024-05-09 Samuel D. Gelman , Guy Cohen

This is a short review of the statistical mechanical definition of entropy production for systems composed of a large number of interacting components. Emphasis is on open systems driven away from equilibrium where the entropy production…

统计力学 · 物理学 2015-06-02 Christian Maes

It is known that the equilibrium properties of open classical systems that are strongly coupled to a heat bath are described by a set of thermodynamic potentials related to the system's Hamiltonian of mean force. By adapting this framework…

统计力学 · 物理学 2017-06-28 Harry J. D. Miller , Janet Anders

This Letter presents a neural estimator for entropy production, or NEEP, that estimates entropy production (EP) from trajectories of relevant variables without detailed information on the system dynamics. For steady state, we rigorously…

统计力学 · 物理学 2020-10-06 Dong-Kyum Kim , Youngkyoung Bae , Sangyun Lee , Hawoong Jeong

A non-vanishing entropy production rate is one of the defining characteristics of any non-equilibrium system, and several techniques exist to determine this quantity directly from experimental data. The short-time inference scheme, derived…

统计力学 · 物理学 2022-11-29 Biswajit Das , Sreekanth K Manikandan , Ayan Banerjee

Entropy notions for $\varepsilon$-incremental practical stability and incremental stability of deterministic nonlinear systems under disturbances are introduced. The entropy notions are constructed via a set of points in state space which…

最优化与控制 · 数学 2022-09-13 Michelle S. Chong

The out-of-equilibrium character of active systems is often twofold, arising from both the activity itself and from non-reciprocal couplings between constituents. A well-established measure to quantify the system's distance from equilibrium…

统计力学 · 物理学 2026-02-13 Kim L. Kreienkamp , Sabine H. L. Klapp

Understanding stochastic thermodynamics of active Brownian particles (ABPs) system has been an important topic in very recent years. In this article we study a general model of active Brownian particle systems by introducing a…

统计力学 · 物理学 2022-05-11 Zhiyu Cao , Jie Su , Huijun Jiang , Zhonghuai Hou

We study the entropy production of Gibbs (equilibrium) measures for chaotic dynamical systems with folding of the phase space. The dynamical chaotic model is that generated by a hyperbolic non-invertible map $f$ on a general basic (possibly…

动力系统 · 数学 2011-04-14 Eugen Mihailescu

The entropy production is one of the most essential features for systems operating out of equilibrium. The formulation for discrete-state systems goes back to the celebrated Schnakenberg's work and hitherto can be carried out when for each…

统计力学 · 物理学 2020-04-15 D. M. Busiello , D. Gupta , A. Maritan

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…

统计力学 · 物理学 2026-02-03 Antonin Brossollet , Giulio Biroli

We investigate the total stochastic entropy production of a two-level bosonic open quantum system under protocols of time dependent coupling to a harmonic environment. These processes are intended to represent the measurement of a system…

量子物理 · 物理学 2023-01-24 D. Matos , L. Kantorovich , I. J. Ford

We discuss the two-dimensional motion of a Brownian particle that is confined to a harmonic trap and driven by a shear flow. The surrounding medium induces memory effects modelled by a linear, typically nonreciprocal coupling of the…

统计力学 · 物理学 2024-04-26 Lea Fernandez , Siegfried Hess , Sabine H. L. Klapp

We discuss entropy production in nonequilibrium steady states by focusing on paths obtained by sampling at regular (small) intervals, instead of sampling on each change of the system's state. This allows us to study directly entropy…

统计力学 · 物理学 2011-09-07 Daniel ben-Avraham , Sven Dorosz , Michel Pleimling

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…

统计力学 · 物理学 2015-05-27 Sven Dorosz , Michel Pleimling

We analyzed the entropy production in the majority-vote model by using a mean-field approximation and Monte Carlo simulations. The dynamical rules of the model do not obey detailed balance so that entropy is continuously being produced.…

统计力学 · 物理学 2009-11-11 Leonardo Crochik , Tania Tome

Driven-dissipative phase transitions are currently a topic of intense research due to the prospect of experimental realizations in quantum optical setups. The most paradigmatic model presenting such a transition is the Kerr model, which…

量子物理 · 物理学 2020-12-22 Bruno O. Goes , Gabriel T. Landi

Stochastic thermodynamics provides the framework to analyze thermodynamic laws and quantities along individual trajectories of small but fully observable systems. If the observable level fails to capture all relevant degrees of freedom,…

统计力学 · 物理学 2024-07-01 Julius Degünther , Jann van der Meer , Udo Seifert

Living systems break detailed balance at small scales, consuming energy and producing entropy in the environment in order to perform molecular and cellular functions. However, it remains unclear how broken detailed balance manifests at…

Systems coupled to multiple thermodynamic reservoirs can exhibit nonequilibrium dynamics, breaking detailed balance to generate currents. To power these currents, the entropy of the reservoirs increases. The rate of entropy production, or…

统计力学 · 物理学 2019-04-16 Junang Li , Jordan M. Horowitz , Todd R. Gingrich , Nikta Fakhri