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 2πvortices where two characteristic lengths, l_ϕand l_W, become of importance. The asymptotical behaviour of the solutions for both singular and nonsingular 2πvortices is studied. Forces between pairs of vortices are calculated.

13 pages, published version

Cited by in corpus (1)

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