Hydrodynamic limits for a two-species reaction-diffusion process

• 成果类型: Article
• 署名作者: Perrut, A
• 署名单位: Universite de Rouen Normandie
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/aoap/1019737668
• 发表日期: 2000
• 页码: 163-191
• 关键词: relative entropy

摘要

We consider a reaction-diffusion process with two components, on the grid Z. This process had been introduced by Durrett and Levin to describe a two-species interaction. We prove the process admits hydrodynamic limits, first with a technique based on correlation functions, then with the method of relative entropy plus coupling.