Disclination vortices in elastic media

Details Disclination vortices in elastic media Disclination vortices in elastic media

1999-03-16

arxiv.org/abs/patt-sol/9903003v2

Nonlinearity 13 (2000), p.459

Physics

Condensed Matter

13 pages, published version

Scientific paper

10.1088/0951-7715/13/2/307

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.

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