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We demonstrate that the fluctuation theorem of Gallavotti and Cohen can be used to characterize the class of dynamics that arises in nonthermal systems of collectively interacting particles driven over random quenched disorder. By observing…

统计力学 · 物理学 2013-12-05 J. A. Drocco , C. J. Olson Reichhardt , C. Reichhardt

This paper reviews various applications of the theory of smooth dynamical systems to conceptual problems of nonequilibrium statistical mechanics. We adopt a new point of view which has emerged progressively in recent years, and which takes…

chao-dyn · 物理学 2015-06-24 David Ruelle

We discuss the transient and steady state fluctuation relation for a mechanical system in contact with two deterministic thermostats at different temperatures. The system is a modified Lorentz gas in which the fixed scatterers exchange…

统计力学 · 物理学 2011-09-08 Carlos Mejia-Monasterio , Lamberto Rondoni

We use a scheme of separation of degrees of freedom for a system, in order to produce two systems with finite number of degrees of freedom. Our intent is to measure the energy square relative fluctuation (SRF) of the observable part through…

统计力学 · 物理学 2009-11-10 F. Q. Potiguar , U. M. S. Costa

Gallavotti proposed an equivalence principle in hydrodynamics, which states that forced-damped fluids can be equally well represented by means of the Navier-Stokes equations and by means of time reversible dynamical systems called GNS. In…

chao-dyn · 物理学 2009-10-31 Lamberto Rondoni , Enrico Segre

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

A model detector undergoing constant, infinite-duration acceleration converges to an equilibrium state described by the Hawking-Unruh temperature $T_a=(a/2\pi)(\hbar/c)$. To relate this prediction to experimental observables, a point-like…

高能物理 - 唯象学 · 物理学 2022-06-08 B. M. Hegelich , L. Labun , O. Z. Labun , G. Torrieri , H. Truran

We obtain exact results for the recently discovered finite-time thermodynamic uncertainty relation in a stochastically driven system with non-Gaussian work statistics, both in the steady state and transient regimes, by obtaining exact…

统计力学 · 物理学 2018-03-13 Sreekanth K Manikandan , Supriya Krishnamurthy

Uncertainty relation is one of the fundamental principle in quantum mechanics and plays an important role in quantum information science. We experimentally test the error-disturbance uncertainty relation (EDR) with continuous variables for…

量子物理 · 物理学 2019-05-24 Yang Liu , Haijun Kang , Dongmei Han , Xiaolong Su , Kunchi Peng

The influence of quantized electromagnetic fields on a nonrelativistic charged particle moving near a conducting plate is studied. We give a field-theoretic derivation of the nonlinear, non-Markovian Langevin equation of the particle by the…

高能物理 - 理论 · 物理学 2008-11-26 Jen-Tsung Hsiang , Tai-Hung Wu , Da-Shin Lee

We examine a class of one-dimensional lattice-gases characterised by a gradient condition which guarantees the existence of Gibbs-type homogeneous stationary states. We show how, defining appropriate boundary conditions, this leads to a…

统计力学 · 物理学 2020-02-13 Alexandre Lazarescu

The six-vertex model with domain-wall boundary conditions is one representative of a class of two-dimensional lattice statistical mechanics models that exhibit a phase separation known as the arctic curve phenomenon. In the thermodynamic…

统计力学 · 物理学 2019-01-31 Etienne Granet , Louise Budzynski , Jérôme Dubail , Jesper Lykke Jacobsen

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

Recently, novel exact identities known as Fluctuation-Response Relations (FRRs) have been derived for nonequilibrium steady states of Markov jump processes. These identities link the fluctuations of state or current observables to a…

统计力学 · 物理学 2026-02-23 Krzysztof Ptaszynski , Timur Aslyamov , Massimiliano Esposito

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

There are only a very few known relations in statistical dynamics that are valid for systems driven arbitrarily far-from-equilibrium. One of these is the fluctuation theorem, which places conditions on the entropy production probability…

统计力学 · 物理学 2009-09-25 Gavin E. Crooks

We extend previous work to describe a class of fluctuation relations (FRs) that emerge as a consequence of symmetries at the level of stochastic trajectories in Markov chains. We prove that given such a symmetry, and for a suitable…

统计力学 · 物理学 2020-07-03 Stefano Marcantoni , Carlos Pérez-Espigares , Juan P. Garrahan

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

This thesis is dedictaed to the study of fluctuation and correlation observables of hadronic equilibrium systems. The statistical hadronization model of high energy physics, in its ideal, i.e. non-interacting, gas approximation will be…

核理论 · 物理学 2010-08-13 Michael Hauer

For non-equilibrium systems of interacting particles and for interacting diffusions in d dimensions, a novel fluctuation relation is derived. The theorem establishes a quantitative relation between the probabilities of observing two current…

统计力学 · 物理学 2015-12-07 Carlos Pérez-Espigares , Frank Redig , Cristian Giardinà