Spatial Patterns when Phases Separate in an Interacting Particle System
Spatial Patterns when Phases Separate in an Interacting Particle System
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 …