Self-dual Ginzburg-Landau vortices in a disk
We study the properties of the Ginzburg-Landau model in the self-dual point for a two-dimensional finite system. By a numerical calculation we analyse the solutions of the Euler-Lagrange equations for a cylindrically symmetric ansatz. We also study the self-dual equations for this case. We find that...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2001 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/79249 |
| Acesso em linha: | http://hdl.handle.net/11336/79249 |
| Access Level: | acceso abierto |
| Palavra-chave: | Ginzburg Landau BPS https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Resumo: | We study the properties of the Ginzburg-Landau model in the self-dual point for a two-dimensional finite system. By a numerical calculation we analyse the solutions of the Euler-Lagrange equations for a cylindrically symmetric ansatz. We also study the self-dual equations for this case. We find that the minimal energy configurations are not given by the Bogomol´nyi equations but by solutions to the Euler-Lagrange ones. With a simple approximation scheme we reproduce the result of the numerical calculation. |
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