Disclination vortices in elastic media
Abstract
The vortex-like solutions are studied in the framework of the gauge model of disclinations in elastic continuum. A complete set of model equations with disclination driven dislocations taken into account is considered. Within the linear approximation an exact solution for a low-angle wedge disclination is found to be independent from the coupling constants of the theory. As a result, no additional dimensional characteristics (like the core radius of the defect) are involved. The situation changes drastically for 2\pi vortices where two characteristic lengths, l_\phi and l_W, become of importance. The asymptotical behaviour of the solutions for both singular and nonsingular 2\pi vortices is studied. Forces between pairs of vortices are calculated.
Cite
@article{arxiv.patt-sol/9903003,
title = {Disclination vortices in elastic media},
author = {M. Pudlak and V. A. Osipov},
journal= {arXiv preprint arXiv:patt-sol/9903003},
year = {2009}
}
Comments
13 pages, published version