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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 emergence of non-gaussian distributions for macroscopic quantities in nonequilibrium steady states is discussed with emphasis on the effective criticality and on the ensuing universality of distribution functions. The following problems…

统计力学 · 物理学 2009-11-10 Zoltan Racz

Macroscopic fluctuation theory has shown that a wide class of non-equilibrium stochastic dynamical systems obey a large deviation principle, but except for a few one-dimensional examples these large deviation principles are in general not…

统计力学 · 物理学 2014-10-02 Gino Del Ferraro , Erik Aurell

The Einstein relation, relating the steady state fluctuation properties to the linear response to a perturbation, is considered for steady states of stochastic models with a finite state space. We show how an Einstein relation always holds…

统计力学 · 物理学 2007-05-23 T. Hanney , M. R. Evans

A Fluctuation Theorem (FT), both Classical and Quantum, describes the large-deviations in the approach to equilibrium of an isolated quasi-integrable system. Two characteristics make it unusual: (i) it concerns the internal dynamics of an…

统计力学 · 物理学 2018-11-14 Tomer Goldfriend , Jorge Kurchan

Nonextensive statistics is a formalism of statistical mechanics that describes the ocurrence of power-law distributions in complex systems, particularly the so-called $q$ exponential family of distributions. In this work we present the use…

统计力学 · 物理学 2019-09-30 Haridas Umpierrez , Sergio Davis

Fluctuation theorems establish exact relations for nonequilibrium dynamics, profoundly advancing the field of stochastic thermodynamics. In this work, we extend quantum fluctuation theorems beyond the traditional thermodynamic framework to…

量子物理 · 物理学 2026-02-24 Kun Zhang , Mo-Yang Ni , Hai-Long Shi , Xiao-Hui Wang , Jin Wang

We consider nonequilibrium systems with complex dynamics in stationary states with large fluctuations of intensive quantities (e.g. the temperature, chemical potential, or energy dissipation) on long time scales. Depending on the…

统计力学 · 物理学 2009-11-07 C. Beck , E. G. D. Cohen

We consider a quantum Universe composed by a small system S and a large environment. It has been demonstrated that, for the vast majority of randomly chosen wave-functions of the Universe satisfying a total energy constraint, the reduced…

量子物理 · 物理学 2022-02-18 Tommaso Favalli , Augusto Smerzi

A classical particle system coupled with a thermostat driven by an external constant force reaches its steady state when the ensemble-averaged drift velocity does not vary with time. The statistical mechanics of such a system is derived…

统计力学 · 物理学 2020-12-02 Jie Yao , Yanting Wang

Within the abstract framework of dynamical system theory we describe a general approach to the Transient (or Evans-Searles) and Steady State (or Gallavotti-Cohen) Fluctuation Theorems of non-equilibrium statistical mechanics. Our main…

数学物理 · 物理学 2011-06-21 Vojkan Jakšić , Claude-Alain Pillet , Luc Rey-Bellet

A diffusive system coupled to unequal boundary reservoirs reaches a non-equilibrium steady state. While the full-counting-statistics of current fluctuations in these states are well understood for generic systems, results for steady-state…

统计力学 · 物理学 2026-01-29 Soumyabrata Saha , Tridib Sadhu

We report the statistical properties of the fluctuations of the energy flux in an electronic RC circuit driven with a stochastic voltage. The fluctuations of the power injected in the circuit are measured as a function of the damping rate…

统计力学 · 物理学 2009-05-06 Claudio Falcón , Eric Falcon

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 this article we review the relation between string theory and non-equilibrium physics based on our previously published work. First we explain why a theory of quantum gravity and non-equilibrium statistical physics should be related in…

高能物理 - 理论 · 物理学 2013-03-18 Nickolas Gray , Djordje Minic , Michel Pleimling

The probability operator for a generic non-equilibrium quantum system is derived. The corresponding stochastic, dissipative Schr\"odinger equation is also given. The dissipative and stochastic propagators are linked by the…

化学物理 · 物理学 2014-06-24 Phil Attard

Thermal fluctuations in non-equilibrium steady states generically lead to power law decay of correlations for conserved quantities. Embedded bodies which constrain fluctuations in turn experience fluctuation induced forces. We compute these…

统计力学 · 物理学 2015-01-07 Avi Aminov , Yariv Kafri , Mehran Kardar

We constructed a model that evolved from a non-equilibrium state to an equilibrium state. The model only needs two basic coefficients, including self-similar coefficients and non-equilibrium coefficients. The coefficients of the model can…

统计力学 · 物理学 2020-11-24 Zhifu Huang , Yuqing Wang

Baths produce friction and random forcing on particles suspended in them. The relation between noise and friction in (generalized) Langevin equations is usually referred to as the second fluctuation-dissipation theorem. We show what is the…

统计力学 · 物理学 2015-06-17 Christian Maes

Generalizing response theory of open systems far from equilibrium is a central quest of nonequilibrium statistical physics. Using stochastic thermodynamics, we develop an algebraic method to study the response of nonequilibrium steady state…

统计力学 · 物理学 2023-08-09 Timur Aslyamov , Massimiliano Esposito