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We consider the asymptotic behaviour of the fluctuation process for large stochastic systems of interacting particles driven by both idiosyncratic and common noise with an interaction kernel \(k \in L^2(\R^d) \cap L^\infty(\R^d)\). Our…

概率论 · 数学 2026-05-28 Paul Nikolaev

We review generalized Fluctuation-Dissipation Relations which are valid under general conditions even in ``non-standard systems'', e.g. out of equilibrium and/or without a Hamiltonian structure. The response functions can be expressed in…

统计力学 · 物理学 2019-09-10 A. Sarracino , A. Vulpiani

For thermostatted dissipative systems the Fluctuation Theorem gives an analytical expression for the ratio of probabilities that the time averaged entropy production in a finite system observed for a finite time, takes on a specified value…

统计力学 · 物理学 2009-10-31 Denis J. Evans , Debra J. Searles , Emil Mittag

We study fluctuations of particle absorption by a three-dimensional domain with multiple absorbing patches. The domain is in contact with a gas of interacting diffusing particles. This problem is motivated by living cell sensing via…

统计力学 · 物理学 2017-06-28 Tal Agranov , Baruch Meerson

We consider fluctuations of the time-averaged current in the one-dimensional weakly-asymmetric exclusion process on a ring. The optimal density profile which sustains a given fluctuation exhibits an instability for low enough currents,…

统计力学 · 物理学 2013-10-29 Carlos P. Espigares , Pedro L. Garrido , Pablo I. Hurtado

There exist some boundary-driven open systems with diffusive dynamics whose particle current fluctuations exhibit universal features that belong to the Edwards-Wilkinson universality class. We achieve this result by establishing a mapping,…

统计力学 · 物理学 2011-11-29 Alberto Imparato , Vivien Lecomte , Frédéric Van Wijland

We present a fluctuation theorem for Floquet quantum master equations. This is a detailed version of the famous Gallavotti-Cohen theorem. In contrast to the latter theorem, which involves the probability distribution of the total heat…

统计力学 · 物理学 2020-08-26 Fei Liu

Two influential exact results in classical one-dimensional diffusive transport are about current statistics for the symmetric simple exclusion process: one in the stationary state on a finite line coupled with two unequal reservoirs at the…

统计力学 · 物理学 2026-05-07 Kapil Sharma , Soumyabrata Saha , Sandeep Jangid , Tridib Sadhu

We propose a method to calculate the large deviations of current fluctuations in a class of stochastic particle systems with history-dependent rates. Long-range temporal correlations are seen to alter the speed of the large deviation…

统计力学 · 物理学 2009-08-07 R. J. Harris , H. Touchette

We study current fluctuations in lattice gases in the macroscopic limit extending the dynamic approach for density fluctuations developed in previous articles. More precisely, we establish a large deviation principle for a space-time…

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

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

The very notion of a current fluctuation is problematic in the quantum context. We study that problem in the context of nonequilibrium statistical mechanics, both in a microscopic setup and in a Markovian model. Our answer is based on a…

统计力学 · 物理学 2015-05-14 Jan Derezinski , Wojciech De Roeck , Christian Maes

We use the Bethe Ansatz to derive analytical expressions for the current statistics in the asymmetric exclusion process with both forward and backward jumps. The Bethe equations are highly coupled and this fact has impeded their use to…

统计力学 · 物理学 2008-08-17 Sylvain Prolhac , Kirone Mallick

Accurately describing liquids and their mixtures beyond equilibrium remains a significant challenge in modern chemical physics and physical chemistry, especially regarding the calculation of transport properties in liquid-phase systems.…

软凝聚态物质 · 物理学 2025-06-19 Yury A. Budkov , Nikolai N. Kalikin , Petr E. Brandyshev

We present an extension of the classical Nyquist-Thevenin theorem for multiport classical electrical networks by Twiss to the quantum case. Conversely, we extend the quantum fluctuation-dissipation result for one port electrical systems to…

量子物理 · 物理学 2022-09-13 A. Parra-Rodriguez , I. L. Egusquiza

Diffusion coefficients are obtained from linear response functions and from the quantal fluctuation dissipation theorem. They are compared with the results of both the theory of hydrodynamic fluctuations by Landau and Lifschitz as well as…

核理论 · 物理学 2016-09-08 Dieter Kiderlen

Recent experimental and theoretical works have shown that giant fluctuations are present during diffusion in liquid systems. We use linearized fluctuating hydrodynamics to calculate the net mass transfer due to these non equilibrium…

统计力学 · 物理学 2009-10-31 Doriano Brogioli , Alberto Vailati

We consider the weakly asymmetric simple exclusion process on a ring, driven out of equilibrium by tilting the dynamics so as to enforce a macroscopic current of particles on a large time interval. In this current-biased dynamics, the tilt…

概率论 · 数学 2023-10-26 Benoit Dagallier

We present a field theory for the statistics of charge and current fluctuations in diffusive systems. The cumulant generating function is given by the saddle-point solution for the action of this field theory. The action depends on two…

介观与纳米尺度物理 · 物理学 2007-05-23 Eugene V. Sukhorukov , Andrew N. Jordan , Sebastian Pilgram

We investigate the statistics of fluctuations in a classical stochastic network of nodes joined by connectors. The nodes carry generalized charge that may be randomly transferred from one node to another. Our goal is to find the time…

介观与纳米尺度物理 · 物理学 2009-11-10 Andrew N. Jordan , Eugene V. Sukhorukov , Sebastian Pilgram