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Identifying dissipation is essential for understanding the physical mechanisms underlying nonequilibrium processes. {In living systems, for example, the dissipation is directly related to the hydrolysis of fuel molecules such as adenosine…

Statistical Mechanics · Physics 2019-09-02 Ignacio A. Martínez , Gili Bisker , Jordan M. Horowitz , Juan M. R. Parrondo

The expressions for entropy production, free energy, and entropy extraction rates are derived for a Brownian particle that walks in an underdamped medium. Our analysis indicates that as long as the system is driven out of equilibrium, it…

Statistical Mechanics · Physics 2021-02-18 Mesfin Asfaw Taye

We analyze the stochastic thermodynamics of systems with continuous space of states. The evolution equation, the rate of entropy production, and other results are obtained by a continuous time limit of a discrete time formulation. We point…

Statistical Mechanics · Physics 2020-08-27 Mário J. de Oliveira

Systems driven away from thermal equilibrium constantly deliver entropy to their environment. Determining this entropy production requires detailed information about the system's internal states and dynamics. However, in most practical…

Statistical Mechanics · Physics 2017-10-03 Gili Bisker , Matteo Polettini , Todd R. Gingrich , Jordan M. Horowitz

Entropy production plays a fundamental role in the study of non-equilibrium systems by offering a quantitative handle on the degree of time-reversal symmetry breaking. It depends crucially on the degree of freedom considered as well as on…

Statistical Mechanics · Physics 2022-05-04 Luca Cocconi , Guillaume Salbreux , Gunnar Pruessner

It is argued that a Gibbsian formula for the space-time distribution of microscopic trajectories of a nonequilibrium system provides a unifying framework for recent results on the fluctuations of the entropy production. The variable entropy…

Statistical Mechanics · Physics 2007-05-23 C. Maes

Entropy, its production, and its change in a dynamical system can be understood from either a fully stochastic dynamic description or from a deterministic dynamics exhibiting chaotic behavior. By taking the former approach based on the…

Mathematical Physics · Physics 2025-08-26 Hong Qian , Zhongwei Shen

Conventional Non-equilibrium Thermodynamics is mainly concerned with systems in local equilibrium and their entropy production, due to the irreversible processes which take place in these systems. In this paper fluids will be considered in…

Statistical Mechanics · Physics 2015-06-18 E. G. D. Cohen , R. L. Merlino

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.…

Statistical Mechanics · Physics 2009-11-11 Leonardo Crochik , Tania Tome

Methods are presented to evaluate the entropy production rate in stochastic reactive systems. These methods are shown to be consistent with known results from nonequilibrium chemical thermodynamics. Moreover, it is proved that the time…

Chaotic Dynamics · Physics 2025-12-17 Pierre Gaspard

The entropy production rate is a central quantity in non-equilibrium statistical physics, scoring how far a stochastic process is from being time-reversible. In this paper, we compute the entropy production of diffusion processes at…

Statistical Mechanics · Physics 2023-06-19 Lancelot Da Costa , Grigorios A. Pavliotis

Analyzing and controlling system entropy is a powerful tool for regulating predictability of control systems. Applications benefiting from such approaches range from reinforcement learning and data security to human-robot collaboration. In…

Systems and Control · Electrical Eng. & Systems 2026-03-06 Menno van Zutphen , Giannis Delimpaltadakis , Duarte J. Antunes

In this paper, we focus on some properties, calculations and estimations of topological entropy for a nonautonomous dynamical system $(X,f_{0,\infty})$ generated by a sequence of continuous self-maps $f_{0,\infty}=\{f_n\}_{n=0}^{\infty}$ on…

Dynamical Systems · Mathematics 2022-10-18 Hua Shao

The irreversible currents and entropy production rate of a dilute colloidal suspension are calculated using the linear irreversible thermodynamics and the linear response theory. The \anomalous" or \hidden" entropy recently discussed in the…

Statistical Mechanics · Physics 2018-08-24 Kunimasa Miyazaki , Yohei Nakayama , Hiromichi Matsuyama

The estimation of entropy rates for stationary discrete-valued stochastic processes is a well studied problem in information theory. However, estimating the entropy rate for stationary continuous-valued stochastic processes has not received…

Information Theory · Computer Science 2021-05-26 Andrew Feutrill , Matthew Roughan

It is well known that entropy production is a proxy to the detection of non-equilibrium, i.e. of the absence of detailed balance; however, due to the global character of this quantity, its knowledge does not allow to identify spatial…

Statistical Mechanics · Physics 2021-09-01 Camilla Sarra , Marco Baldovin , Angelo Vulpiani

We investigate the nonequilibrium stationary states of systems consisting of chemical reactions among molecules of several chemical species. To this end we introduce and develop a stochastic formulation of nonequilibrium thermodynamics of…

Statistical Mechanics · Physics 2018-07-04 Tânia Tomé , Mário J. de Oliveira

Entropy production is the hallmark of nonequilibrium physics, quantifying irreversibility, dissipation, and the efficiency of energy transduction processes. Despite many efforts, its measurement at the nanoscale remains challenging. We…

Biological Physics · Physics 2024-03-29 I. Di Terlizzi , M. Gironella , D. Herraez-Aguilar , T. Betz , F. Monroy , M. Baiesi , F. Ritort

The entropy production of a nonequilibrium system with broken detailed balance is a random variable whose mean value is nonnegative. Among the total entropy production, the housekeeping entropy production is associated with the heat…

Statistical Mechanics · Physics 2019-01-30 Hyun-Myung Chun , Jae Dong Noh

Entropy generation in a chemical reaction is analyzed without using the general formalism of non-equilibrium thermodynamics at a level adequate for advanced undergraduates. In a first approach to the problem, the phenomenological kinetic…

General Physics · Physics 2015-06-11 E. N. Miranda
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