Journal o[ Statistical Phvsics Vol. 87, Nos. 1/2, 1997. p. 63-89.
We study lsing models with general spin-flip dynamics obeying the detailed balance law. Alter 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.