Equilibrium Wulff shapes and interfacial energies of two-dimensional ``crystals'' on a triangular lattice are considered. Asymptotic approximations are constructed for both the shapes and energies in the limit T-->0 where crystals are close to perfect hexagons, and the limit T-->Tc (critical temperature) where crystals have near-circular shapes. The intermediate temperature region is studied numerically, and accurate interpolating approximations are proposed. The relevance of the study to the nucleation problem is discussed.
Physical Review B
- Pub Date:
- February 2001
- Low-dimensional mesoscopic and nanoscale systems: structure and nonelectronic properties;
- Order-disorder transformations;
- statistical mechanics of model systems;
- Lattice theory and statistics;