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We study the dynamics of density fluctuations in purely diffusive systems away from equilibrium. Under some conditions the static density correlation function becomes long-ranged. We then analyze this behavior in the framework of…

凝聚态物理 · 物理学 2009-10-22 I. Pagonabarraga , M. Rubi

We present technical results required for the description and understanding of correlations and fluctuations of the empirical density and current as well as diverse time-integrated and time-averaged thermodynamic currents of diffusion…

统计力学 · 物理学 2023-01-09 Cai Dieball , Aljaž Godec

We use dynamic equations to derive a relation between correlation functions and response or relaxation functions in many-body systems. The relation is very general and holds both in equilibrium, when the usual fluctuation-dissipation…

统计力学 · 物理学 2024-07-09 T. R. Kirkpatrick , D. Belitz

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

To integrate hydrodynamic fluctuations, namely thermal fluctuations of hydrodynamics, into dynamical models of high-energy nuclear collisions based on relativistic hydrodynamics, the property of the hydrodynamic fluctuations given by the…

核理论 · 物理学 2019-10-29 Koichi Murase

We study the time correlation function of a density field in two-dimensional driven diffusive systems within the framework of fluctuating hydrodynamics. It is found that the time correlation exhibits power-law behavior in an intermediate…

统计力学 · 物理学 2009-03-02 Takenobu Nakamura , Michio Otsuki , Shin-ichi Sasa

We discuss research done in two important areas of nonequilibrium statistical mechanics: fluctuation dissipation relations and dynamical fluctuations. In equilibrium systems the fluctuation-dissipation theorem gives a simple relation…

统计力学 · 物理学 2010-11-19 Bram Wynants

We present the application of a fluctuating hydrodynamic theory to study current fluctuations in diffusive systems on a semi-infinite line in contact with a reservoir with slow coupling. We show that the distribution of the time-integrated…

统计力学 · 物理学 2023-08-04 Soumyabrata Saha , Tridib Sadhu

For diffusive systems that can be described by fluctuating hydrodynamics and by the Macroscopic Fluctuation Theory of Bertini et al., the total current fluctuations display universal features when the system is closed and in equilibrium.…

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

We analyze the real-time dynamics of a quantum two-state system in the presence of nonequilibrium quantum fluctuations. The latter are generated by a coupling of the two-state system to a single electronic level of a quantum dot which…

介观与纳米尺度物理 · 物理学 2016-12-20 Niklas Mann , Jochen Brüggemann , Michael Thorwart

We derive the fluctuation theorem for a stochastic and periodically driven system coupled to two reservoirs with the aid of a master equation. We write down the cumulant generating functions for both the current and entropy production in…

统计力学 · 物理学 2020-11-26 Kazutaka Takahashi , Yuki Hino , Keisuke Fujii , Hisao Hayakawa

The recently developed effective field theory of fluctuations around thermal equilibrium is used to compute late-time correlation functions of conserved densities. Specializing to systems with a single conservation law, we find that the…

高能物理 - 理论 · 物理学 2019-12-24 Xinyi Chen-Lin , Luca V. Delacrétaz , Sean A. Hartnoll

We prove density and current fluctuations for two examples of symmetric, interacting particle systems with anomalous diffusive behavior: the zero-range process with long jumps and the zero-range process with degenerated bond disorder. As an…

概率论 · 数学 2009-01-05 M. Jara

We consider a general class of nonlinear diffusive models with bulk dissipation and boundary driving, and derive its hydrodynamic description in the large size limit. Both the average macroscopic behavior and the fluctuating properties of…

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

Linear fluctuating hydrodynamics is a useful and versatile tool for describing fluids, as well as other systems with conserved fields, on a mesoscopic scale. In one spatial dimension, however, transport is anomalous, which requires to…

统计力学 · 物理学 2016-01-05 Herbert Spohn

The effect of a change of noise amplitudes in overdamped diffusive systems is linked to their unperturbed behavior by means of a nonequilibrium fluctuation-response relation. This formula holds also for systems with state-independent…

The response of thermodynamic systems perturbed out of an equilibrium steady-state is described by the reciprocal and the fluctuation-dissipation relations. The so-called fluctuation theorems extended the study of fluctuations far beyond…

统计力学 · 物理学 2020-02-21 Matteo Polettini , Massimiliano Esposito

Using a generalisation of the detailed balance for systems maintained out of equilibrium by contact with 2 reservoirs at unequal temperatures or at unequal densities, we recover the fluctuation theorem for the large deviation funtion of the…

统计力学 · 物理学 2009-11-13 T. Bodineau , B. Derrida

Characterizing current fluctuations in a steady state is of fundamental interest and has attracted considerable attention in the recent past. However, the bulk of the studies are limited to systems that either do not exhibit a phase…

统计力学 · 物理学 2024-12-05 Tanmoy Chakraborty , Punyabrata Pradhan , Kavita Jain

We give a proof of transient fluctuation relations for the entropy production (dissipation function) in nonequilibrium systems, which is valid for most time reversible dynamics. We then consider the conditions under which a transient…

统计力学 · 物理学 2009-11-13 Debra J. Searles , Lamberto Rondoni , Denis J. Evans
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