Evolution of the interfaces in a two dimensional Potts model
概率论
2007-05-23 v2
摘要
We investigate the evolution of the random interfaces in a two dimensional Potts model at zero temperature under Glauber dynamics for some particular initial conditions. We prove that under space-time diffusive scaling the shape of the interfaces converges in probability to the solution of a non-linear parabolic equation. This Law of Large Numbers is obtained from the Hydrodynamic limit of a coupling between an exclusion process and an inhomogeneous one dimensional zero range process with asymmetry at the origin.
引用
@article{arxiv.math/0608142,
title = {Evolution of the interfaces in a two dimensional Potts model},
author = {Glauco Valle},
journal= {arXiv preprint arXiv:math/0608142},
year = {2007}
}
备注
31 pages