CONSERVATION OF LOCAL EQUILIBRIUM FOR ATTRACTIVE PARTICLE-SYSTEMS ON Z(D)

• 成果类型: Article
• 署名作者: LANDIM, C
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176989000
• 发表日期: 1993
• 页码: 1782-1808
• 关键词: hydrodynamical equation; deviations; BEHAVIOR; limit; zd

摘要

We prove conservation of local equilibrium for attractive particle systems. Our method applies as well to gradient asymmetric processes with mean drift 0 under diffusive (N-2) rescaling. The hydrodynamical behavior is proved for bounded continuous initial profiles under Euler (N) rescaling and for bounded a.s. continuous profiles under diffusive rescaling. We prove that, for attractive systems, the conservation of local equilibrium follows from a law of large numbers for the density field.