Crystallography on Curved Surfaces
Soft Condensed Matter
2007-11-12 v1
Abstract
We study static and dynamical properties that distinguish two dimensional crystals constrained to lie on a curved substrate from their flat space counterparts. A generic mechanism of dislocation unbinding in the presence of varying Gaussian curvature is presented in the context of a model surface amenable to full analytical treatment. We find that glide diffusion of isolated dislocations is suppressed by a binding potential of purely geometrical origin. Finally, the energetics and biased diffusion dynamics of point defects such as vacancies and interstitials is explained in terms of their geometric potential.
Cite
@article{arxiv.cond-mat/0604203,
title = {Crystallography on Curved Surfaces},
author = {Vincenzo Vitelli and Julius B. Lucks and David R. Nelson},
journal= {arXiv preprint arXiv:cond-mat/0604203},
year = {2007}
}
Comments
12 Pages, 8 Figures