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Article
Stochastic Ising models and anisotropic front propagation
JOURNAL OF STATISTICAL PHYSICS
  • MA Katsoulakis, University of Massachusetts - Amherst
  • PE Souganidis
Publication Date
1997
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
Citation Information
MA 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/