Wulff shapes and the critical nucleus for a triangular Ising lattice

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dc.contributorVirginia Techen
dc.contributor.authorShneidman, V. A.en
dc.contributor.authorZia, Royce K. P.en
dc.contributor.departmentPhysicsen
dc.date.accessed2014-04-23en
dc.date.accessioned2014-05-07T15:37:10Zen
dc.date.available2014-05-07T15:37:10Zen
dc.date.issued2001-02en
dc.description.abstractEquilibrium 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
dc.identifier.citationShneidman, 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.63.085410en
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.63.085410en
dc.identifier.issn0163-1829en
dc.identifier.urihttp://hdl.handle.net/10919/47910en
dc.identifier.urlhttp://journals.aps.org/prb/abstract/10.1103/PhysRevB.63.085410en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectequilibrium shapesen
dc.subjectsurface-tensionen
dc.subjecttransfer-matrixen
dc.subjectsystemen
dc.subjectmetastabilityen
dc.subjectcrystalen
dc.subjectmodelen
dc.subjectnucleationen
dc.subjectdynamicsen
dc.subjectgrowthen
dc.subjectphysics, condensed matteren
dc.titleWulff shapes and the critical nucleus for a triangular Ising latticeen
dc.title.serialPhysical Review Ben
dc.typeArticle - Refereeden

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