Facet shapes in a Wulff crystal

Salvador Miracle-Sole (1)

1 CPT - Centre de Physique Théorique - UMR 7332

According to the Wulff construction the shape of the equilibrium crystal is determined by the surface tension considered as a function of the interface orientation. We present some (conjectured) approximate solutions and some rigorous results concerning this function, in the case of a lattice gas, and apply them to study the shape of the equilibrium crystal and, in particular, the shape of the facets of this crystal.

Mots clés: interface models; Surface tension; step free energy; equilibrium crystals; facets shape; Ising model; interface models.

Domaines: Mécanique statistique [cond-mat.stat-mech]; Physique mathématique [math-ph]

Salvador Miracle-Sole. Facet shapes in a Wulff crystal. Mathematical Results in Statistical Mechanics, Satellite Colloquium of STATPHYS 20, 1998, Marseille, France. pp.83-101. ⟨hal-00706899⟩