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This article traces the development of fluctuation theory and its deep connection to irreversibility, from equilibrium to near-equilibrium, and finally to far-from-equilibrium systems. Classical fluctuation theorems, which capture the…

量子物理 · 物理学 2025-12-30 Sounak Bandyopadhyay , Arnab Ghosh

Fluctuation theorems establish deep relations between observables away from thermal equilibrium. Until recently, the research on fluctuation theorems was focused on time-reversal-invariant systems. In this review we address some newly…

统计力学 · 物理学 2015-06-18 Chenjie Wang , D. E. Feldman

Fluctuation theorems are fundamental results in non-equilibrium thermodynamics. Considering the fluctuation theorem with respect to the entropy production and an observable, we derive a new thermodynamic uncertainty relation which also…

统计力学 · 物理学 2022-02-02 Gianluca Francica

Irreversibility is usually captured by a comparison between the process that happens and a corresponding "reverse process". In the last decades, this comparison has been extensively studied through fluctuation relations. Here we revisit…

统计力学 · 物理学 2021-10-11 Clive Cenxin Aw , Francesco Buscemi , Valerio Scarani

Fluctuation theorems, which have been developed over the past 15 years, have resulted in fundamental breakthroughs in our understanding of how irreversibility emerges from reversible dynamics, and have provided new statistical mechanical…

统计力学 · 物理学 2015-05-13 E. M. Sevick , R. Prabhakar , Stephen R. Williams , Debra J. Searles

Recent results on the stationary state Fluctuation Theorems for work and heat fluctuations of Langevin systems are presented. The relevance of finite time corrections in understanding experimental and simulation results is explained in the…

统计力学 · 物理学 2007-07-31 E. G. D. Cohen , Ramses van Zon

This book provides a modern review of Fluctuation Relations and Fluctuation Theorems in nonequilibrium statistical mechanics. It focuses on the pioneering perspectives of Gallavotti and Cohen, according to which a fluctuation theorem…

数学物理 · 物理学 2026-02-13 Noé Cuneo , Vojkan Jakšić , Claude-Alain Pillet , Armen Shirikyan

Fluctuations of observables as functions of time, or "fluctuation patterns", are studied in a chaotic microscopically reversible system that has irreversibly reached a nonequilibrium stationary state. Supposing that during a certain, long…

chao-dyn · 物理学 2008-10-08 G. Gallavotti

The irreversibility of trajectories in stochastic dynamical systems is linked to the structure of their causal representation in terms of Bayesian networks. We consider stochastic maps resulting from a time discretization with interval \tau…

数据分析、统计与概率 · 物理学 2018-03-15 Andrea Auconi , Andrea Giansanti , Edda Klipp

The theoretical motivations to perform experimental tests of the stationary state fluctuation relation are reviewed. The difficulties involved in such tests, evidenced by numerical simulations, are also discussed.

统计力学 · 物理学 2009-11-11 Francesco Zamponi

A connection between the response and fluctuation in general nonequilibrium stationary states is investigated. We focus on time-symmetric quantities and find that the fluctuation of a kind of empirical measure can be expressed with the…

统计力学 · 物理学 2023-04-26 Naoto Shiraishi

We use a recently proved fluctuation theorem for the currents to develop the response theory of nonequilibrium phenomena. In this framework, expressions for the response coefficients of the currents at arbitrary orders in the thermodynamic…

统计力学 · 物理学 2015-05-13 D. Andrieux , P. Gaspard

Using the recently proposed covariant framework of general relativistic stochastic mechanics and stochastic thermodynamics, we proved the detailed and integral fluctuation theorems in curved spacetime. The time-reversal transformation is…

广义相对论与量子宇宙学 · 物理学 2024-12-24 Yifan Cai , Tao Wang , Liu Zhao

We consider a localized quantum system living in a curved spacetimes. By translating into this scenario the paradgmatic two-point measument scheme in quantum statistical mechanics we are able to prove a relativistic version of the quantum…

量子物理 · 物理学 2025-04-15 M. Basso , J. Maziero , L. C. Céleri

A simple class of chaotic systems in a random environment is considered and the fluctuation theorem is extended under the assumption of reversibility.

混沌动力学 · 物理学 2008-02-01 F. Bonetto , G. Gallavotti , G. Gentile

Based on the recently proposed framework of general relativistic stochastic mechanics [{\em J. Stat. Phys.}, 190:193, 2023; {\em J. Stat. Phys.}, 190:181, 2023] and stochastic thermodynamics [{\em SciPost Physics Core} 7, 082, 2024] at the…

广义相对论与量子宇宙学 · 物理学 2025-02-05 Yifan Cai , Tao Wang , Liu Zhao

We studied numerically the validity of the fluctuation theorem, introduced by Evans,Cohen and Morris and proved by Gallavotti and Cohen, for a 2-dimensional system of particles maintained in a steady shear flow by Maxwell daemon boundary…

chao-dyn · 物理学 2009-10-31 F. Bonetto , N. I. Chernov , J. L. Lebowitz

The Fluctuation Theorem describes the probability ratio of observing trajectories that satisfy or violate the second law of thermodynamics. It has been proved in a number of different ways for thermostatted deterministic nonequilibrium…

统计力学 · 物理学 2009-10-31 Debra J. Searles , Denis J. Evans

Heat fluctuations are studied in a dissipative system with both mechanical and stochastic components for a simple model: a Brownian particle dragged through water by a moving potential. An extended stationary state fluctuation theorem is…

统计力学 · 物理学 2007-05-23 R. van Zon , E. G. D. Cohen

The Fluctuation Theorems are a group of exact relations that remain valid irrespective of how far the system has been driven away from equilibrium. Other than having practical applications, like determination of equilibrium free energy…

统计力学 · 物理学 2016-11-04 Sourabh Lahiri , A. M. Jayannavar
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