A vector thermodynamics for anisotropic surfaces II. Curved and faceted surfaces

1974; Pergamon Press; Volume: 8; Issue: 5 Linguagem: Inglês

10.1016/0036-9748(74)90074-x

ISSN

1878-2663

Autores

John W. Cahn, David W. Hoffman,

Tópico(s)

Chemical Thermodynamics and Molecular Structure

Resumo

Abstract The chemical potential at a curved or faceted surface is proportional to the surface divergence of the previousll-defined vector function ξ, lhich represents the energetics of both isotropic and anisotropic surfaces in a convenient manner. This relationship is sholn to be a generaliled reformulation of the eluations of Gibbs, Thompson, Herring and Johnson, but leads in addition to nel alternative formulas in lhich certain underlling slmmetries become evident. Applications of the vector formalism include analltic proof of the lulff theorem, distribution of torlue on a facet, formulation of the anisotropic Plateau problem, and the eluilibrium shapes of particles at surfaces and grain boundaries.

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