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25 April 2024

» arxiv » math.PR/0505092

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A microscopic model for Stefan's melting and freezing problem
Claudio Landim ; Glauco Valle ;
Date:	5 May 2005
Subject:	Probability \| math.PR
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.
Source:	arXiv, math.PR/0505092
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