Finite-dimensional approximation of the self-diffusion coefficient for the exclusion process

• 成果类型: Article
• 署名作者: Landim, C; Olla, S; Varadhan, SRS
• 署名单位: Universite de Rouen Normandie; Centre National de la Recherche Scientifique (CNRS); CY Cergy Paris Universite; Institut Polytechnique de Paris; Ecole Polytechnique; ENSTA Paris; New York University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2002
• 页码: 483-508
• 关键词: invariance-principle; MARKOV-PROCESSES; tagged particle

摘要

We show that for the symmetric simple exclusion process on Z(d) the self-diffusion coefficient of a tagged particle is stable when approximated by simple exclusion processes on large periodic lattices. The proof depends on a similar stability property of the asymptotic variance of additive functionals of mean 0. This requires establishing a property for the Dirichlet space known as the Liouville-D property.