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Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small nonequilibrium systems. While work and heat are equally important forms of energy exchange, fluctuation relations have not been experimentally…

We study a class of nonequilibrium lattice models which describe local redistributions of a globally conserved energy. A particular subclass can be solved analytically, allowing to define a temperature T_{th} along the same lines as in the…

统计力学 · 物理学 2007-05-23 Eric Bertin , Olivier Dauchot , Michel Droz

We consider a macroscopic system in contact with boundary reservoirs and/or under the action of an external field. We discuss the case in which the external forcing depends explicitly on time and drives the system from a nonequilibrium…

统计力学 · 物理学 2015-06-05 L. Bertini , D. Gabrielli , G. Jona-Lasinio , C. Landim

The fluctuation theorem is a pivotal result of statistical physics. It quantifies the probability of observing fluctuations which are in violation of the second law of thermodynamics. More specifically, it quantifies the ratio of the…

统计力学 · 物理学 2011-08-26 M. Belushkin , R. Livi , G. Foffi

We present a general quantum fluctuation theorem for the entropy production of an open quantum system coupled to multiple environments, not necessarily at equilibrium. Such a general theorem, when restricted to the weak-coupling and…

量子物理 · 物理学 2022-06-29 Gabriele De Chiara , Alberto Imparato

Small systems in contact with a heat bath evolve by stochastic dynamics. Here we show that, when one such small system is weakly coupled to another one, it is possible to infer the presence of such weak coupling by observing the violation…

统计力学 · 物理学 2016-11-07 Deepak Gupta , Sanjib Sabhapandit

Fluctuation theorems have a very special place in the study of non equilibrium dynamics of physical systems. The form in which it is used most extensively is the Gallavoti-Cohen Fluctuation Theorem which is in terms of the distribution of…

经典物理 · 物理学 2015-12-01 G. S. Agarwal , Sushanta Dattagupta

We study the Fluctuation Theorem (FT) for entropy production in chaotic discrete-time dynamical systems on compact metric spaces, and extend it to empirical measures, all continuous potentials, and all weak Gibbs states. In particular, we…

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

To reveal how nonequilibrium physics and relativity theory intertwine, this articles studies relativistic Brownian motion under cosmic expansion. Two fluctuation theorems for the entropy ds, which is locally produced in this extreme…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Axel Fingerle

The postulational basis of classical thermodynamics has been expanded to incorporate equilibrium fluctuations. The main additional elements of the proposed thermodynamic theory are the concept of quasi-equilibrium states, a definition of…

统计力学 · 物理学 2019-06-11 Y. Mishin

A linearized Vlasov-Poisson system of equations is transformed into a Schr\"{o}dinger equation, which is used to demonstrate that the fluctuation theorem holds for the relative stochastic entropy, defined in terms of the probability density…

等离子体物理 · 物理学 2025-08-11 Hideo Sugama

The fluctuation theorems have remained one of the cornerstones in the study of systems that are driven far out of equilibrium, and they provide strong constraints on the fraction of trajectories that behave atypically in light of the second…

统计力学 · 物理学 2015-06-05 Sourabh Lahiri , A. M. Jayannavar

Sagawa and Ueda established a fluctuation theorem of information exchange by revealing the role of correlations in stochastic thermodynamics and unified the non-equilibrium thermodynamics of measurement and feedback control [T. Sagawa and…

统计力学 · 物理学 2019-03-26 Lee Jinwoo

Linear, irreversible thermodynamics predicts that the entropy production rate can become negative. We demonstrate this prediction for metals under AC-driving whose conductivity is well-described by the Drude-Sommerfeld model. We then show…

统计力学 · 物理学 2022-01-26 Marcus V. S. Bonança , Sebastian Deffner

Fluctuation Theorems are statements about the entropy of systems far from thermal equilibrium. In this Letter relativistic Fluctuation Theorems for Brownian motion are presented and proven. Though there is a known discretization dilemma…

统计力学 · 物理学 2007-05-23 Axel Fingerle

Thermodynamics of equilibrium states is well established. However, in nonequilibrium few general results are known. One prime and important example is that of Nyquist theorem. It relates equilibrium tiny voltage fluctuations across a…

统计力学 · 物理学 2014-09-24 Navinder Singh

The fluctuation theorem of the Crooks type is studied for thermodynamic nonlinear- multivariate systems. In particular, a bivariate system having a limit cycle is discussed in detail. It is explicitly shown how the time reversal operation…

统计力学 · 物理学 2014-02-27 Yasuyuki Matsuo

Fluctuation Theorem(FT) has been studied as far from equilibrium theorem, which relates the symmetry of entropy production. To investigate the application of this theorem, especially to biological physics, we consider the FT for tilted…

统计力学 · 物理学 2009-11-10 T. Monnai

We derive a generalized version of the work fluctuation theorem for nonequilibrium systems with spatio-temporal temperature fluctuations. For chi-square distributed inverse temperature we obtain a generalized fluctuation theorem based on…

统计力学 · 物理学 2009-11-10 C. Beck , E. G. D. Cohen

A generalized fluctuation-response relation is found for thermal systems driven out of equilibrium. Its derivation is independent of many details of the dynamics, which is only required to be first-order. The result gives a correction to…

统计力学 · 物理学 2009-07-12 Marco Baiesi , Christian Maes , Bram Wynants