The initial drift of a 2D droplet at zero temperature
概率论
2007-05-23 v2 数学物理
math.MP
摘要
We consider the 2D stochastic Ising model evolving according to the Glauber dynamics at zero temperature. We compute the initial drift for droplets which are suitable approximations of smooth domains. A specific spatial average of the derivative at time~0 of the volume variation of a droplet close to a boundary point is equal to its curvature multiplied by a direction dependent coefficient. We compute the explicit value of this coefficient.
引用
@article{arxiv.math/0411545,
title = {The initial drift of a 2D droplet at zero temperature},
author = {Raphael Cerf and Sana Louhichi},
journal= {arXiv preprint arXiv:math/0411545},
year = {2007}
}
备注
46 pages. A modified version thanks to Herbert Spohn comments