STOCHASTIC ISING-MODELS AND ANISOTROPIC FRONT PROPAGATION

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