Macroscopic energy diffusion for a chain of anharmonic oscillators

• 成果类型: Article
• 署名作者: Olla, Stefano; Sasada, Makiko
• 署名单位: Universite PSL; Universite Paris-Dauphine; Keio University
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-012-0469-5
• 发表日期: 2013
• 页码: 721-775
• 关键词: equilibrium fluctuations; exclusion processes; SYSTEM; limit

摘要

We study the energy diffusion in a chain of anharmonic oscillators where the Hamiltonian dynamics is perturbed by a local energy conserving noise. We prove that under diffusive rescaling of space-time, energy fluctuations diffuse and evolve following an infinite dimensional linear stochastic differential equation driven by the linearized heat equation. We also give variational expressions for the thermal diffusivity and some upper and lower bounds.