Minimal Surfaces, Screw Dislocations and Twist Grain Boundaries
Soft Condensed Matter
2009-10-31 v2 Materials Science
Statistical Mechanics
Differential Geometry
Abstract
Large twist-angle grain boundaries in layered structures are often described by Scherk's first surface whereas small twist-angle grain boundaries are usually described in terms of an array of screw dislocations. We show that there is no essential distinction between these two descriptions and that, in particular, their comparative energetics depends crucially on the core structure of their screw-dislocation topological defects.
Keywords
Cite
@article{arxiv.cond-mat/9808306,
title = {Minimal Surfaces, Screw Dislocations and Twist Grain Boundaries},
author = {Randall D. Kamien and T. C. Lubensky},
journal= {arXiv preprint arXiv:cond-mat/9808306},
year = {2009}
}
Comments
10 pages, harvmac, 1 included postscript figure, final version