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
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
收藏
页码:725 / 758
页数:34
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