A microscopic model for Stefan's melting and freezing problem

Details A microscopic model for Stefan's melting and freezing problem A microscopic model for Stefan's melting and freezing problem

2005-05-05

arxiv.org/abs/math/0505092v2

Annals of Probability 2006, Vol. 34, No. 2, 779-803

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117905000000701 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117905000000701

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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