English

Facet shapes in a Wulff crystal

Statistical Mechanics 2012-06-19 v1 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.1206.3736,
  title  = {Facet shapes in a Wulff crystal},
  author = {Salvador Miracle-Sole},
  journal= {arXiv preprint arXiv:1206.3736},
  year   = {2012}
}

Comments

23 pages, 5 figures

R2 v1 2026-06-21T21:20:41.702Z