Ergodicity in infinite Hamiltonian systems with conservative noise

• 成果类型: Article
• 署名作者: Liverani, C; Olla, S
• 署名单位: Institut Polytechnique de Paris; Ecole Polytechnique; ENSTA Paris; Polytechnic University of Turin
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s004400050071
• 发表日期: 1996
• 页码: 401-445
• 关键词: limit

摘要

We study the stationary measures of an infinite Hamiltonian system of interacting particles in R(3) subject to a stochastic local perturbation conserving energy and momentum. We prove that the translation invariant:measures that are stationary for the deterministic Hamiltonian dynamics, reversible for the stochastic dynamics, and with finite entropy density, are convex combination of ''Gibbs'' states. This result implies hydrodynamic behavior for the systems under consideration.