Hydrodynamic limits for one-dimensional particle systems with moving boundaries

• 成果类型: Article
• 署名作者: Chayes, L; Swindle, G
• 署名单位: University of California System; University of California Santa Barbara
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 1996
• 页码: 559-598
• 关键词: temperature; MODEL

摘要

We analyze a new class of one-dimensional interacting particle systems featuring random boundaries with a random motion that is coupled to the local particle density. We show that the hydrodynamic limiting behavior in these systems corresponds to the solution of an appropriate Stefan (free-boundary) equation and describe some applications of these results.