PARTICLE-SYSTEMS AND REACTION-DIFFUSION EQUATIONS

• 成果类型: Article
• 署名作者: DURRETT, R; NEUHAUSER, C
• 署名单位: University of Southern California
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176988861
• 发表日期: 1994
• 页码: 289-333
• 关键词: model; GROWTH

摘要

In this paper we will consider translation invariant finite range particle systems with state space {0,1,..., kappa-1)S with S = epsilonZ(d). De Masi, Ferrari and Lebowitz have shown that if we introduce stirring at rate epsilon-2, then the system converges to the solution of an associated reaction diffusion equation. We exploit this connection to prove results about the existence of phase transitions when the stirring rate is large that apply to a wide variety of examples with state space {0,1}S.