Wulff shapes and the critical nucleus for a triangular Ising lattice

V. A. Shneidman, R. K. Zia

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


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.

Original languageEnglish (US)
Article number085410
Pages (from-to)854101-854107
Number of pages7
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number8
StatePublished - 2001

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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