A microscopic model for Stefan's melting and freezing problem
Indexed on: 29 Jun '06Published on: 29 Jun '06Published in: Mathematics - Probability
Abstract
We study a class of one-dimensional interacting particle systems with random boundaries as a microscopic model for Stefan's melting and freezing problem. We prove that under diffusive rescaling these particle systems exhibit a hydrodynamic behavior described by the solution of a Cauchy--Stefan problem.
