Virginia TechShneidman, V. A.Zia, Royce K. P.2014-05-072014-05-072001-02Shneidman, V. A.; Zia, R. K. P., "Wulff shapes and the critical nucleus for a triangular Ising lattice," Phys. Rev. B 63, 085410 DOI: http://dx.doi.org/10.1103/PhysRevB.63.0854100163-1829http://hdl.handle.net/10919/47910Equilibrium 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-T-c. (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.en-USIn Copyrightequilibrium shapessurface-tensiontransfer-matrixsystemmetastabilitycrystalmodelnucleationdynamicsgrowthphysics, condensed matterArticle - Refereedhttp://journals.aps.org/prb/abstract/10.1103/PhysRevB.63.085410https://doi.org/10.1103/PhysRevB.63.085410