Wulff shapes and the critical nucleus for a triangular Ising lattice - art. no. 085410

Equilibrium Wulff shapes and interfacial energies of two-dimensional "cryst als" on a triangular lattice are considered. Asymptotic approximations are constructed for both the shapes and energies in the limit T-->0 where cryst als are close to perfect hexagons, and the limit T-T-c. (critical temperatu re) where crystals have near-circular shapes. The intermediate temperature region is studied numerically, and accurate interpolating approximations ar e proposed. The relevance of the study to the nucleation problem is discuss ed.