HOMOGENIZATION IN COARSENING SYSTEMS II: STOCHASTIC CASE
Barbara Niethammer, Juan J. L. Velázquez · Mathematical Models and Methods in Applied Sciences · 2004
In the earlier paper (Part I) we study the homogenization of the Mullins–Sekerka problem for deterministic particle distributions in the case that the effective range of particle interactions is smaller than the system size. Here we extend those results to the case of stochastic particle distributions. The main difficulty is that in this case particles collide with positive probability. We show, however, that colliding particles are few and do not influence the macroscopic behavior.