Stochastic Ising models and anisotropic front propagationJOURNAL OF STATISTICAL PHYSICS
AbstractWe 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.
Citation InformationMA Katsoulakis and PE Souganidis. "Stochastic Ising models and anisotropic front propagation" JOURNAL OF STATISTICAL PHYSICS Vol. 87 Iss. 1-2 (1997)
Available at: http://works.bepress.com/markos_katsoulakis/38/