Equilibrium fluctuations for delφ interface model

• 成果类型: Article
• 署名作者: Giacomin, G; Olla, S; Spohn, H
• 署名单位: Universite Paris Cite; CY Cergy Paris Universite; Institut Polytechnique de Paris; Ecole Polytechnique; Technical University of Munich; University of Munich; Technical University of Munich
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2001
• 页码: 1138-1172
• 关键词: reversible markov-processes; diffusion equation

摘要

We study the large scale space-time fluctuations of an interface which is modeled by a massless scalar field with reversible Langevin dynamics. For a strictly convex interaction potential we prove that on a large space-time scale these fluctuations are governed by an infinite-dimensional Ornstein-Uhlenbeek process. Its effective diffusion type covariance matrix is characterized through a variational formula.