DYNAMICAL LARGE DEVIATIONS FOR THE BOUNDARY DRIVEN WEAKLY ASYMMETRIC EXCLUSION PROCESS

• 成果类型: Article
• 署名作者: Bertini, Lorenzo; Landim, Claudio; Mourragui, Mustapha
• 署名单位: Sapienza University Rome; Universite de Rouen Normandie; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/09-AOP472
• 发表日期: 2009
• 页码: 2357-2403
• 关键词: symmetric simple exclusion; hydrodynamic scaling limit; lattice gas models; random-fields; steady-state; particle; SYSTEM; equilibrium

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.