A microscopic model for Stefan's melting and freezing problem
Probability
2007-05-23 v2
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.
Cite
@article{arxiv.math/0505092,
title = {A microscopic model for Stefan's melting and freezing problem},
author = {Claudio Landim and Glauco Valle},
journal= {arXiv preprint arXiv:math/0505092},
year = {2007}
}
Comments
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)