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相关论文: A Gallavotti-Cohen Type Symmetry in the Large Devi…

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Fluctuation theorem is one of the major achievements in the field of nonequilibrium statistical mechanics during the past two decades. Steady-state fluctuation theorem of sample entropy production rate in terms of large deviation principle…

概率论 · 数学 2016-08-24 Yong Chen , Hao Ge , Jie Xiong , Lihu Xu

Large fluctuations have received considerable attention as they encode information on the fine-scale dynamics. Large deviation relations known as fluctuation theorems also capture crucial nonequilibrium thermodynamical properties. Here we…

统计力学 · 物理学 2010-12-09 David Andrieux

We have considered a one-dimensional coagulation-decoagulation system of classical particles on a finite lattice with reflecting boundaries. It is known that the system undergoes a phase transition from a high-density to a low-density…

统计力学 · 物理学 2013-10-03 Pegah Torkaman , Farhad H. Jafarpour

We analyse the statistics of the shear stress in a one dimensional \emph{model fluid}, that exhibits a rich phase behaviour akin to real complex fluids under shear. We show that the energy flux satisfies the Gallavotti-Cohen FT across all…

统计力学 · 物理学 2016-09-06 Pritha Dolai , Aditi Simha

This study deals with continuous limits of interacting one-dimensional diffusive systems, arising from stochastic distortions of discrete curves with various kinds of coding representations. These systems are essentially of a…

统计力学 · 物理学 2011-09-09 Guy Fayolle , Cyril Furtlehner

We consider fluctuations of the dissipated energy in nonlinear driven diffusive systems subject to bulk dissipation and boundary driving. With this aim, we extend the recently-introduced macroscopic fluctuation theory to nonlinear driven…

统计力学 · 物理学 2013-10-29 P. I. Hurtado , A. Lasanta , A. Prados

The fluctuation theorem of Gallavotti and Cohen holds for finite systems undergoing Langevin dynamics. In such a context all non-trivial ergodic theory issues are by-passed, and the theorem takes a particularly simple form. As a particular…

统计力学 · 物理学 2009-10-30 Jorge Kurchan

In contrast with the understanding of fluctuation symmetries for entropy production, similar ideas applied to the time-symmetric fluctuation sector have been less explored. Here we give detailed derivations of time-symmetric fluctuation…

统计力学 · 物理学 2015-06-15 Christian Maes , Alberto Salazar

We consider a class of deterministic local collisional dynamics, showing how to approximate them by means of stochastic models and then studying the fluctuations of the current of energy. We show first that the variance of the…

数学物理 · 物理学 2015-05-19 Raphael Lefevere , Mauro Mariani , Lorenzo Zambotti

Systems with interacting degrees of freedom play a prominent role in stochastic thermodynamics. Our aim is to use the concept of detached path probabilities and detached entropy production for bipartite Markov processes and elaborate on a…

统计力学 · 物理学 2017-10-17 Jannik Ehrich , Andreas Engel

We study a discrete stochastic model of a molecular motor. This discrete model can be viewed as a \emph{minimal} ratchet model. We extend our previous work on this model, by further investigating the constraints imposed by the Fluctuation…

统计力学 · 物理学 2009-11-13 D. Lacoste , A. W. C. Lau , K. Mallick

We study the symmetry of large deviation functions associated with time-integrated currents in Markov pure jump processes. One current known to have this symmetry is the fluctuating entropy production and this is the content of the…

统计力学 · 物理学 2012-12-03 A. C. Barato , R. Chetrite

We consider, for a diffusion process in R^n, the Gallavotti-Cohen functional, defined as the empirical power dissipated in a time interval by the non-conservative part of the drift. We prove a large deviation principle in the limit in which…

概率论 · 数学 2010-04-15 Lorenzo Bertini , Giacomo Di Gesù

How is it that entropy derivatives almost in their own are characterizing the state of a system close to equilibrium, and what happens further away from it? We explain within the framework of Markov jump processes why fluctuation theory can…

统计力学 · 物理学 2009-08-24 Christian Maes , Karel Netočný , Bram Wynants

Stochastic thermodynamics and the associated fluctuation relations provide the means to extend the fundamental laws of thermodynamics to small scales and systems out of equilibrium. The fluctuating thermodynamic variables are usually…

统计力学 · 物理学 2015-05-29 Aki Kutvonen , Tapio Ala-Nissilä , Jukka P. Pekola

We derive the explicit form of the rate function for semi-Markov processes. Here, the "random time change trick" plays an essential role. Also, by exploiting the contraction principle of the large deviation theory to the explicit form, we…

统计力学 · 物理学 2018-03-14 Yuki Sughiyama , Testuya J. Kobayashi

We consider a continuous time Markov chain on a countable state space. We prove a joint large deviation principle (LDP) of the empirical measure and current in the limit of large time interval. The proof is based on results on the joint…

概率论 · 数学 2014-09-02 L. Bertini , A. Faggionato , D. Gabrielli

We show that the scaled cumulant generating and large deviation function, associated to a two-state Markov process involving two processes, obey a symmetry relation reminiscent of the fluctuation theorem, independent from any conditions on…

统计力学 · 物理学 2015-06-19 Tim Willaert , Bart Cleuren , Christian Van den Broeck

We develop a formalism to discuss the properties of GENERIC systems in terms of corresponding Hamiltonians that appear in the characterization of large-deviation limits. We demonstrate how the GENERIC structure naturally arises from a…

偏微分方程分析 · 数学 2020-03-31 Richard C. Kraaij , Alexandre Lazarescu , Christian Maes , Mark A. Peletier

We discuss an extension of the fluctuation theorem to stochastic models that, in the limit of zero external drive, are not able to equilibrate with their environment, extending results presented by Sellitto (cond-mat/9809186). We show that…

无序系统与神经网络 · 物理学 2009-11-11 F. Zamponi , F. Bonetto , L. F. Cugliandolo , J. Kurchan