Spectral gap for zero-range dynamics

• 成果类型: Article
• 署名作者: Landim, C; Sethuraman, S; Varadhan, S
• 署名单位: New York University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 1996
• 页码: 1871-1902
• 关键词: exclusion process; limit

摘要

We give a lower bound on the spectral gap for symmetric zero-range processes. Under same conditions on the rate function, we show that the gap shrinks as n(-2) independent of the density, for the dynamics localized on a cube of size n(d). We follow the method outlined by Lu and Yau, where a similar spectral gap is proved for Kawasaki dynamics.