SPATIAL PATTERNS WHEN PHASES SEPARATE IN AN INTERACTING PARTICLE SYSTEM
成果类型：
Article
署名作者：
DEMASI, A; PELLEGRINOTTI, A; PRESUTTI, E; VARES, ME
署名单位：
University of Rome Tor Vergata; Sapienza University Rome
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
1994
页码：
334-371
关键词：
摘要：
We consider a one-dimensional Glauber-Kawasaki process which gives rise in the hydrodynamical limit to a reaction diffusion equation with a double-well potential. We study the case when the process starts off from a product measure with zero averages, which, hydrodynamically, corresponds to a stationary unstable state. We prove that at times longer than the hydrodynamical ones the reaction diffusion equation no longer describes the behavior of the system, which in fact leaves the unstable equilibrium. The spatial patterns of the typical configurations when this happens are investigated.