Stochastic Ising models and anisotropic front propagation

Publication Date

1997

Journal or Book Title

JOURNAL OF STATISTICAL PHYSICS

Abstract

We study Ising models with general spin-flip dynamics obeying the detailed balance law. After passing to suitable macroscopic limits, we obtain interfaces moving with normal velocity depending anisotropically on their principal curvatures and direction. In addition we deduce (direction-dependent) Kubo-Green-type formulas for the mobility and the Hessian of the surface tension, thus obtaining an explicit description of anisotropy in terms of microscopic quantities. The choice of dynamics affects only the mobility, a scalar function of the direction.

Comments

The published version is located at http://www.springerlink.com/content/b036k28561540615/

Pages

63-89

Volume

87

Issue

1-2

This document is currently not available here.

Share

COinS