SINGULAR DIFFUSION LIMITS OF A CLASS OF REVERSIBLE SELF-ORGANIZING PARTICLE-SYSTEMS

• 成果类型: Article
• 署名作者: CARLSON, JM; GRANNAN, ER; SWINDLE, GH; TOUR, J
• 署名单位: University of California System; University of California Santa Barbara; AT&T; Nokia Corporation; Nokia Bell Labs; University of California System; University of California Los Angeles
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176989122
• 发表日期: 1993
• 页码: 1372-1393
• 关键词: criticality; hydrodynamics

摘要

We establish hydrodynamic limits for a class of attractive, reversible particle systems with an infinite range of interaction. The limiting nonlinear diffusion equations have diffusion coefficients which are functions of the local density, and which have a singularity at a critical value of the density. On open driven systems, these singular diffusion limits explain the observed nontrivial scaling behavior known as self-organized criticality.