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A microscopic model for Stefan's melting and freezing problem

Research paper by Claudio Landim, Glauco Valle

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.