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A microscopic model for Stefan's melting and freezing problem

Claudio Landim·Glauco Valle
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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.

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Claudio Landim, Glauco Valle. 2006-06-29. A microscopic model for Stefan's melting and freezing problem. https://doi.org/10.1214/009117905000000701

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