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We present a simple derivation of the integral fluctuation theorems for excess housekeeping heat for an underdamped Langevin system, without using the concept of dual dynamics. In conformity with the earlier results, we find that the…

统计力学 · 物理学 2016-01-07 Sourabh Lahiri , A. M. Jayannavar

We analytically describe the decay to equilibrium of generic observables of a non-integrable system after a perturbation in the form of a random matrix. We further obtain an analytic form for the time-averaged fluctuations of an observable…

量子物理 · 物理学 2019-06-05 Charlie Nation , Diego Porras

In the context of an exactly soluble out of equilibrium (quenched) model, we study an extension of the fluctuation-dissipation relation. This involves a modified differential form of this relation, with an effective temperature which may…

高能物理 - 理论 · 物理学 2015-07-24 A. L. M. Britto , Ashok K. Das , J. Frenkel

Detailed fluctuation theorem, a microscopic version of the steady state fluctuation theorem, has been proposed by Jarzynski and demonstrated in the case of Hamiltonian systems weakly coupled with reservoirs. We show that an identical…

统计力学 · 物理学 2010-07-20 K. Gururaj , G. Raghavan , M. C. Valsakumar

We formulate a dynamical fluctuation theory for stationary non equilibrium states (SNS) which is tested explicitly in stochastic models of interacting particles. In our theory a crucial role is played by the time reversed dynamics. Within…

统计力学 · 物理学 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

Fluctuation theorems are a class of equalities that express universal properties of the probability distribution of a fluctuating path functional such as heat, work or entropy production over an ensemble of trajectories during a…

统计力学 · 物理学 2019-05-09 Lee Jinwoo

We discuss the non-equilibrium critical phenomena in liquids, and the models for these phenomena based on local equilibrium and extended scaling assumptions. Special situations are proposed for experimental tests of the theory.…

统计力学 · 物理学 2009-10-31 Alexander Patashinski

Of indisputable relevance for non-equilibrium thermodynamics, fluctuations theorems have been generalized to the framework of quantum thermodynamics, with the notion of work playing a key role in such contexts. The typical approach consists…

量子物理 · 物理学 2023-06-28 Thales Augusto Barbosa Pinto Silva , Renato Moreira Angelo

The past twenty years have seen a resurgence of interest in nonequilibrium thermodynamics, thanks to advances in the theory of stochastic processes and in their thermodynamic interpretation. Fluctuation theorems provide fundamental…

统计力学 · 物理学 2017-11-16 Robert Marsland , Jeremy England

In a generalized framework for the Landauer erasure protocol, we study bounds on the heat dissipated in typical nonequilibrium quantum processes. In contrast to thermodynamic processes, quantum fluctuations are not suppressed in the…

量子物理 · 物理学 2018-05-16 Philip Taranto , Kavan Modi , Felix A. Pollock

We present a theoretical framework to understand a modified fluctuation-dissipation theorem valid for systems close to non-equilibrium steady-states and obeying markovian dynamics. We discuss the interpretation of this result in terms of…

统计力学 · 物理学 2015-05-20 G. Verley , K. Mallick , D. Lacoste

A quantum-mechanical framework is set up to describe the full counting statistics of particles flowing between reservoirs in an open system under time-dependent driving. A symmetry relation is obtained which is the consequence of…

统计力学 · 物理学 2013-07-15 David Andrieux , Pierre Gaspard , Takaaki Monnai , Shuichi Tasaki

Recently (arXiv:0910.2870), we have derived a fluctuation theorem for systems in thermodynamic equilibrium compatible with anomalous response functions, e.g. the existence of states with \textit{negative heat capacities} $C<0$. In this…

统计力学 · 物理学 2013-07-31 L. Velazquez , S. Curilef

We investigate thermodynamics of general nonequilibrium processes stopped at stochastic times. We propose a systematic strategy for constructing fluctuation-theorem-like martingales for each thermodynamic functional, yielding a family of…

统计力学 · 物理学 2023-06-02 Haoran Yang , Hao Ge

Fluctuation theorem is derived for a quantum current system around a nonequilibrium steady state. It is demonstrated that the fluctuation theorem can be a part of the generalized Green-Kubo formula or a nonlinear response theory of an…

统计力学 · 物理学 2011-03-30 Hisao Hayakawa

We analyze the production of entropy along non-equilibrium processes in quantum systems coupled to generic environments. First, we show that the entropy production due to final measurements and the loss of correlations obeys a fluctuation…

量子物理 · 物理学 2018-08-08 Gonzalo Manzano , Jordan M. Horowitz , Juan M. R. Parrondo

The Fluctuation Theorem gives an analytical expression for the probability of observing second law violating dynamical fluctuations, in nonequilibrium systems. At equilibrium statistical mechanical fluctuations are known to be ensemble…

统计力学 · 物理学 2019-07-30 Debra J. Searles , Denis J. Evans

Fluctuation theorems and the second law of thermodynamics are powerful relations constraining the behavior of out-of-equilibrium systems. While there exist generalizations of these relations to feedback controlled quantum systems, their…

量子物理 · 物理学 2024-10-07 Kacper Prech , Patrick P. Potts

Fluctuation theorems make use of time reversal to make predictions about entropy production in many-body systems far from thermal equilibrium. Here we review the wide variety of distinct, but interconnected, relations that have been derived…

统计力学 · 物理学 2007-08-02 R. J. Harris , G. M. Schütz

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