Crystallography on curved surfaces.

Abstract:

:We study static and dynamical properties that distinguish 2D 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 are explained in terms of their geometric potential.

authors

Vitelli V,Lucks JB,Nelson DR

doi

10.1073/pnas.0602755103

subject

Has Abstract

pub_date

2006-08-15 00:00:00

pages

12323-8

issue

33

eissn

0027-8424

issn

1091-6490

pii

0602755103

journal_volume

103

pub_type

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