Hydrostatics and dynamical large deviations of boundary driven gradient symmetric exclusion processes

被引：20

作者：

Farfan, J. ^{[2
]}

Landim, C. ^{[1
,2
]}

Mourragui, M. ^{[1
]}

机构：

[1] Univ Rouen, CNRS, LMRS, UMR 6085, F-76801 St Etienne, France

[2] Inst Matematica Pura & Aplicada, BR-22460 Rio De Janeiro, Brazil

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2011年 / 121卷 / 04期

关键词：

Boundary driven exclusion processes; Stationary nonequilibrium states; Hydrostatics; Fick's law; Large deviations; HYDRODYNAMIC SCALING LIMIT; STEADY-STATE; PARTICLE; EQUILIBRIUM; RELAXATION; SYSTEM;

D O I：

10.1016/j.spa.2010.11.014

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove the hydrostatics of boundary driven gradient exclusion processes, Fick's law and we present a simple proof of the dynamical large deviations principle which holds in any dimension. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：725 / 758

页数：34

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