DYNAMICAL LARGE DEVIATIONS FOR THE BOUNDARY DRIVEN WEAKLY ASYMMETRIC EXCLUSION PROCESS

被引：32

作者：

Bertini, Lorenzo ^{[1
]}

Landim, Claudio ^{[2
,3
]}

Mourragui, Mustapha ^{[3
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

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

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

来源：

ANNALS OF PROBABILITY | 2009年 / 37卷 / 06期

关键词：

Exclusion process; large deviations; stationary nonequilibrium states; SYMMETRIC SIMPLE EXCLUSION; HYDRODYNAMIC SCALING LIMIT; LATTICE GAS MODELS; RANDOM-FIELDS; STEADY-STATE; PARTICLE; SYSTEM; EQUILIBRIUM;

D O I：

10.1214/09-AOP472

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 consider the weakly asymmetric exclusion process on a bounded interval with particle reservoirs at the endpoints. The hydrodynamic limit for the empirical density, obtained in the diffusive scaling, is given by the viscous Burgers equation with Dirichlet boundary conditions. We prove the associated dynamical large deviations principle.

引用

页码：2357 / 2403

页数：47

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