Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes

• 成果类型: Article
• 署名作者: Jara, M. D.; Landim, C.; Sethuraman, S.
• 署名单位: Universite de Rouen Normandie; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Iowa State University
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-008-0178-2
• 发表日期: 2009
• 页码: 565-590
• 关键词: systems; limit; DYNAMICS

摘要

We prove a non-equilibrium functional central limit theorem for the position of a tagged particle in mean-zero one-dimensional zero-range process. The asymptotic behavior of the tagged particle is described by a stochastic differential equation governed by the solution of the hydrodynamic equation.