Year: 2009
Type: article
Abstract: 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.
Source: The Annals of Probability
DOI: 10.1214/09-aop472
Authors: Lorenzo Bertini, Claudio Landim, Mustapha Mourragui
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2094760698