Facet ridge end points in crystal shapes
Statistical Mechanics
2009-10-31 v1
Abstract
Equilibrium crystal shapes (ECS) near facet ridge end points (FRE) are generically complex. We study the body-centered solid-on-solid model on a square lattice with an enhanced uniaxial interaction range to test the stability of the so-called stochastic FRE point where the model maps exactly onto one dimensional Kardar-Parisi-Zhang type growth and the local ECS is simple. The latter is unstable. The generic ECS contains first-order ridges extending into the rounded part of the ECS, where two rough orientations coexist and first-order faceted to rough boundaries terminating in Pokrovsky-Talapov type end points.
Cite
@article{arxiv.cond-mat/9906373,
title = {Facet ridge end points in crystal shapes},
author = {Douglas Davidson and Marcel den Nijs},
journal= {arXiv preprint arXiv:cond-mat/9906373},
year = {2009}
}
Comments
Contains 4 pages, 5 eps figures. Uses RevTeX