DERIVATION OF COUPLED KPZ-BURGERS EQUATION FROM MULTI-SPECIES ZERO-RANGE PROCESSES

• 成果类型: Article
• 署名作者: Bernardin, C.; Funaki, T.; Sethuraman, S.
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Universite Cote d'Azur; Waseda University; University of Arizona
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/20-AAP1639
• 发表日期: 2021
• 页码: 1966-2017
• 关键词: stochastic burgers

摘要

We consider the fluctuation fields of multi-species weakly-asymmetric zero-range interacting particle systems in one dimension, where the mass density of each species is conserved. Although such fields have been studied in systems with a single species, the multi-species setting is much less understood. Among other results, we show that when the system starts from stationary states with a particular property, the scaling limits of the multi-species fluctuation fields, seen in a characteristic traveling frame, solve a coupled Burgers SPDE, which is a formal spatial gradient of a coupled KPZ equation.