Wulff shapes and the critical nucleus for a triangular Ising lattice

Document Type

Article

Publication Date

1-1-2001

Abstract

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.

Identifier

0035100613 (Scopus)

Publication Title

Physical Review B Condensed Matter and Materials Physics

External Full Text Location

https://doi.org/10.1103/physrevb.63.085410

ISSN

01631829

First Page

854101

Last Page

854107

Issue

8

Volume

63

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