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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…

Statistical Mechanics · Physics 2017-06-28 Harry J. D. Miller , Janet Anders

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…

Statistical Mechanics · Physics 2019-04-16 Junang Li , Jordan M. Horowitz , Todd R. Gingrich , Nikta Fakhri

Far-from-equilibrium thermodynamics underpins the emergence of life, but how has been a long-outstanding puzzle. Best candidate theories based on the maximum entropy production principle could not be unequivocally proven, in part due to…

Quantitative Methods · Quantitative Biology 2017-10-10 Robert G. Endres

The entropy produced when a quantum system is driven away from equilibrium can be decomposed in two parts, one related with populations and the other with quantum coherences. The latter is usually based on the so-called relative entropy of…

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…

Statistical Mechanics · Physics 2020-04-15 D. M. Busiello , D. Gupta , A. Maritan

Active systems are characterized by a continuous production of entropy at steady state. We study the statistics of entropy production within a lattice-based model of interacting active particles that is capable of motility-induced phase…

Statistical Mechanics · Physics 2022-12-21 Tal Agranov , Michael E. Cates , Robert L. Jack

In nature stationary nonequilibrium systems cannot exist on their own, rather they need to be driven from outside in order to keep them away from equilibrium. While the internal mean entropy of such stationary systems is constant, the…

Statistical Mechanics · Physics 2013-10-03 Somayeh Zeraati , Farhad H. Jafarpour , Haye Hinrichsen

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

Entropy production (EP) is known as a fundamental quantity for measuring the irreversibility of processes in thermal equilibrium and states far from equilibrium. In stochastic thermodynamics, the EP becomes more visible in terms of the…

Statistical Mechanics · Physics 2020-06-24 Jaewoo Jung , Jaegon Um , Deokjae Lee , Yong W. Kim , D. Y. Lee , H. K. Pak , B. Kahng

By using entropy and entropy production, we calculate the steady flux of some phenomena. The method we use is a competition method, $S_S/\tau+\sigma={\it maximum}$, where $S_S$ is system entropy, $\sigma$ is entropy production and $\tau$ is…

Statistical Mechanics · Physics 2016-07-26 Yong-Jun Zhang

The second law of nonequilibrium thermodynamics within the open system paradigm (a small system coupled to one or multiple baths) is derived. This is done by showing positivity of entropy production for arbitrary Hamiltonian dynamics for a…

Statistical Mechanics · Physics 2020-08-28 Philipp Strasberg

The concept of entropy in nonequilibrium macroscopic systems is investigated in the light of an extended equation of motion for the density matrix obtained in a previous study. It is found that a time-dependent information entropy can be…

Statistical Mechanics · Physics 2009-11-10 W. T. Grandy

We propose an expression for the production of entropy for system described by a stochastic dynamics which is appropriate for the case where the reverse transition rate vanishes but the forward transition is nonzero. The expression is…

Statistical Mechanics · Physics 2024-08-22 Tânia Tome , Mário J. de Oliveira

We consider a wide class of linear stochastic problems driven off the equilibrium by a multiplicative asymmetric force. The force brakes detailed balance, maintained otherwise, thus producing entropy. The large deviation function of the…

Chaotic Dynamics · Physics 2009-11-11 K. Turitsyn , M. Chertkov , V. Y. Chernyak , A. Puliafito

We analyze the dynamics of a simple but nontrivial classical Hamiltonian system of infinitely many coupled rotators. We assume that this infinite system is driven out of thermal equilibrium either because energy is injected by an external…

Statistical Mechanics · Physics 2015-06-25 David Ruelle

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

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…

Statistical Mechanics · Physics 2015-06-02 Christian Maes

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

Entropy production is a universal measure of irreversibility and energy dissipation in physical, chemical, and biological systems operating far from equilibrium. However, quantifying and spatiotemporally localising it in complex processes…

Statistical Mechanics · Physics 2026-05-18 Biswajit Das , Sreekanth K Manikandan

Thermodynamic irreversibility is well characterized by the entropy production arising from non-equilibrium quantum processes. We show that the entropy production of a quantum system undergoing open-system dynamics can be formally split into…

Quantum Physics · Physics 2019-07-02 Jader P. Santos , Lucas C. Céleri , Gabriel T. Landi , Mauro Paternostro