Relaxation to equilibrium of conservative dynamics I: Zero-range processes

• 成果类型: Article
• 署名作者: Janvresse, E; Landim, C; Quastel, J; Yau, HT
• 署名单位: Centre National de la Recherche Scientifique (CNRS); New York University; University of Toronto
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 1999
• 页码: 325-360
• 关键词: logarithmic sobolev inequality; particle-systems; glauber dynamics; lattice gases; spectral gap; CONVERGENCE

摘要

Under mild assumptions we prove that for any local function u the decay rate to equilibrium in the variance sense of zero range dynamics on the d-dimensional integer lattice is C(u)t(-d/2) + o(t(-d/2)). The constant C-u is computed explicitly.