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arXiv 2005-05-05 DOI 10.1214/009117905000000701 0 views

A microscopic model for Stefan's melting and freezing problem

Landim, Claudio · Valle, Glauco

Original · EN

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.

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