LARGE DEVIATIONS OF THE EMPIRICAL CURRENTS FOR A BOUNDARY-DRIVEN REACTION DIFFUSION MODEL

• 成果类型: Article
• 署名作者: Bodineau, Thierry; Lagouge, Maxime
• 署名单位: Universite PSL; Ecole Normale Superieure (ENS); Universite Paris Cite
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/11-AAP826
• 发表日期: 2012
• 页码: 2282-2319
• 关键词: equations

摘要

We derive a large deviation principle for the empirical currents of lattice gas dynamics which combine a fast stirring mechanism (Symmetric Simple Exclusion Process) and creation/annihilation mechanisms (Glauber dynamics). Previous results on the density large deviations can be recovered from this general large deviation principle. The contribution of external driving forces due to reservoirs at the boundary of the system is also taken into account.