Vortex analysis of the periodic Ginzburg–Landau model |
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| Authors: | Hassen Aydi Etienne Sandier |
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| Affiliation: | aInstitut supérieur d'informatique de Mahdia, route de Réjiche Km 4, BP 53, Mahdia 5121, Tunisie;bUniversité Paris-Est, LAMA – CNRS UMR 8050, 61, Avenue du Général de Gaulle, 94010 Créteil, France;cInstitut Universitaire de France, France |
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| Abstract: | We study the vortices of energy minimizers in the London limit for the Ginzburg–Landau model with periodic boundary conditions. For applied fields well below the second critical field we are able to describe the location and number of vortices. Many of the results presented appeared in [H. Aydi, Doctoral Dissertation, Université Paris-XII, 2004], others are new. |
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| Keywords: | Superconductivity Ginzburg– Landau equations Vortices Periodic boundary conditionsMots-clé s: Supraconductivité É quations de Ginzburg– Landau Tourbillons Conditions aux limites pé riodiques |
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