SPATIAL PATTERNS WHEN PHASES SEPARATE IN AN INTERACTING PARTICLE SYSTEM

We consider a one-dimensional Glauber-Kawasaki process which gives ris e in the hydrodynamical limit to a reaction diffusion equation with a double-well potential. We study the case when the process starts off f rom a product measure with zero averages, which, hydrodynamically, cor responds to a stationary unstable state. We prove that at times longer than the hydrodynamical ones the reaction diffusion equation no longe r describes the behavior of the system, which in fact leaves the unsta ble equilibrium. The spatial patterns of the typical configurations wh en this happens are investigated.