A microscopic model for Stefan's melting and freezing problem

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

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Probability, 60K35 (Primary)

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http://salesiana.dossiersoluciones.com/handle/123456789/101253

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505092
 http://arxiv.org/abs/math/0505092
 Annals of Probability 2006, Vol. 34, No. 2, 779-803
 doi:10.1214/009117905000000701

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