dorsal/arxiv
View SchemaDisclination vortices in elastic media
| Authors | M. Pudlak, V. A. Osipov |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9903003 |
| URL | https://arxiv.org/abs/patt-sol/9903003 |
| DOI | 10.1088/0951-7715/13/2/307 |
| Journal | Nonlinearity 13 (2000), p.459 |
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.
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"abstract": "The vortex-like solutions are studied in the framework of the gauge model of\ndisclinations in elastic continuum. A complete set of model equations with\ndisclination driven dislocations taken into account is considered. Within the\nlinear approximation an exact solution for a low-angle wedge disclination is\nfound to be independent from the coupling constants of the theory. As a result,\nno additional dimensional characteristics (like the core radius of the defect)\nare involved. The situation changes drastically for 2\\pi vortices where two\ncharacteristic lengths, l_\\phi and l_W, become of importance. The asymptotical\nbehaviour of the solutions for both singular and nonsingular 2\\pi vortices is\nstudied. Forces between pairs of vortices are calculated.",
"arxiv_id": "patt-sol/9903003",
"authors": [
"M. Pudlak",
"V. A. Osipov"
],
"categories": [
"patt-sol",
"cond-mat",
"nlin.PS"
],
"doi": "10.1088/0951-7715/13/2/307",
"journal_ref": "Nonlinearity 13 (2000), p.459",
"title": "Disclination vortices in elastic media",
"url": "https://arxiv.org/abs/patt-sol/9903003"
},
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