{ "id": "0804.2458", "version": "v2", "published": "2008-04-15T18:55:45.000Z", "updated": "2009-12-14T13:57:05.000Z", "title": "Dynamical large deviations for the boundary driven weakly asymmetric exclusion process", "authors": [ "Lorenzo Bertini", "Claudio Landim", "Mustapha Mourragui" ], "comment": "Published in at http://dx.doi.org/10.1214/09-AOP472 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)", "journal": "Annals of Probability 2009, Vol. 37, No. 6, 2357-2403", "doi": "10.1214/09-AOP472", "categories": [ "math.PR", "math-ph", "math.MP" ], "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.", "revisions": [ { "version": "v2", "updated": "2009-12-14T13:57:05.000Z" } ], "analyses": { "subjects": [ "82C22", "60F10", "82C35" ], "keywords": [ "driven weakly asymmetric exclusion process", "boundary driven weakly asymmetric exclusion", "dynamical large deviations principle" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0804.2458B" } } }