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This paper addresses fundamental aspects of statistical mechanics such as the motivation of a classical state space with spontaneous transitions, the meaning of non-equilibrium in the context of thermalization, and the justification of…

统计力学 · 物理学 2011-05-31 Haye Hinrichsen , Christian Gogolin , Peter Janotta

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…

统计力学 · 物理学 2016-01-20 Pyoung-Seop Shim , Hyun-Myung Chun , Jae Dong Noh

We derive a bound for entropy production in terms of the mean of normalizable path-antisymmetric observables. The optimal observable for this bound is shown to be the signum of entropy production, which is often easier determined or…

统计力学 · 物理学 2024-10-07 Gabriel Knotz , Till M. Muenker , Timo Betz , Matthias Krüger

We consider a one-dimensional persisent random walk viewed as a deterministic process with a form of time reversal symmetry. Particle reservoirs placed at both ends of the system induce a density current which drives the system out of…

混沌动力学 · 物理学 2009-10-31 T. Gilbert , J. R. Dorfman

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…

统计力学 · 物理学 2026-05-18 Biswajit Das , Sreekanth K Manikandan

We develop the stochastic approach to thermodynamics based on the stochastic dynamics, which can be discrete (master equation) continuous (Fokker-Planck equation), and on two assumptions concerning entropy. The first is the definition of…

统计力学 · 物理学 2015-06-11 Tânia Tomé , Mário J. de Oliveira

A central challenge in the computational modeling of neural dynamics is the trade-off between accuracy and simplicity. At the level of individual neurons, nonlinear dynamics are both experimentally established and essential for neuronal…

We study the statistics of infima, stopping times and passage probabilities of entropy production in nonequilibrium steady states, and show that they are universal. We consider two examples of stopping times: first-passage times of entropy…

统计力学 · 物理学 2017-02-28 Izaak Neri , Édgar Roldán , Frank Jülicher

For open systems described by the quantum master equation (QME), we investigate the excess entropy production under quasistatic operations between nonequilibrium steady states. The average entropy production is composed of the time integral…

统计力学 · 物理学 2017-11-06 Satoshi Nakajima , Yasuhiro Tokura

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…

量子物理 · 物理学 2020-12-18 Alessio Belenchia , Luca Mancino , Gabriel T. Landi , Mauro Paternostro

The concept of entropy in statistical physics is related to the existence of irreversible macroscopic processes. In this work, we explore a recently introduced entropy formula for a class of stochastic processes with more than one absorbing…

种群与进化 · 定量生物学 2022-10-21 Diogo Costa-Cabanas , Fabio A. C. C. Chalub , Max O. Souza

Nonequilibrium phase transitions can be typified in a similar way to equilibrium systems, for instance, by the use of the order parameter. However, this characterization hides the irreversible character of the dynamics as well as its…

统计力学 · 物理学 2019-07-10 C. E. Fernández Noa , Pedro E. Harunari , M. J. de Oliveira , C. E. Fiore

Most natural systems operate far from equilibrium, displaying time-asymmetric, irreversible dynamics characterized by a positive entropy production while exchanging energy and matter with the environment. Although stochastic thermodynamics…

统计力学 · 物理学 2023-06-27 Miguel Aguilera , Masanao Igarashi , Hideaki Shimazaki

Entropy might be a not well defined concept if the system can undergo transformations involving stationary nonequilibria. It might be analogous to the heat content (once called ``caloric'') in transformations that are not isochoric (i.e.…

统计力学 · 物理学 2007-05-23 Giovanni Gallavotti

The entropy production rate (EPR) offers a quantitative measure of time reversal symmetry breaking in non-equilibrium systems. It can be defined either at particle level or at the level of coarse-grained fields such as density; the EPR for…

统计力学 · 物理学 2021-02-03 Yuting I. Li , Michael E. Cates

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…

统计力学 · 物理学 2018-07-04 Tânia Tomé , Mário J. de Oliveira

We study the entropy production of a system with a finite number of states connected by random transition rates. The stationary entropy production, driven out of equilibrium both by asymmetric transition rates and by an external probability…

统计力学 · 物理学 2017-12-13 Daniel M. Busiello , Jorge Hidalgo , Amos Maritan

Entropy production is a fundamental concept that plays a crucial role in the second law of thermodynamics and the measure of irreversibility. It imposes rigorous constraints on the kinds of transformations allowed in thermodynamic…

We study how the Shannon entropy of sequences produced by an information source converges to the source's entropy rate. We synthesize several phenomenological approaches to applying information theoretic measures of randomness and memory to…

统计力学 · 物理学 2007-05-23 James P. Crutchfield , David P. Feldman

We compute statistical properties of the stochastic entropy production associated with the nonstationary transport of heat through a system coupled to a time dependent nonisothermal heat bath. We study the 1-d stochastic evolution of a…

统计力学 · 物理学 2015-10-14 Ian J. Ford , Zachary P. L. Laker , Henry J. Charlesworth