Global minimizers for the Ginzburg–Landau functional below the first critical magnetic field
✍ Scribed by Etienne Sandier; Sylvia Serfaty
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 163 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0294-1449
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✦ Synopsis
We prove that the global minimizer of the Ginzburg-Landau functional of superconductors in an external magnetic field is, below the first critical field, the vortex-less solution found in (S. Serfaty, to appear). © 2000 Éditions scientifiques et médicales Elsevier SAS RÉSUMÉ. -On montre que le minimiseur global de la fonctionelle de Ginzburg-Landau en supraconductivité, avec champ magnétique extérieur inférieur au premier champ critique est la solution sans vortex trouvée dans (S. Serfaty, à paraitre).
📜 SIMILAR VOLUMES
The purpose of this work is a systematic study of symmetric vortices for the Ginzburg-Landau model of superconductivity along a cylinder, with applied magnetic ÿeld parallel to its axis. The Ginzburg-Landau constant Ä of the material and the degree d of the vortex are ÿxed. For any given parameters
The Sobolev gradient technique has been discussed previously in this journal as an efficient method for finding energy minima of certain Ginzburg-Landau type functionals [S. Sial, J. Neuberger, T. Lookman, A. Saxena, Energy minimization using Sobolev gradients: application to phase separation and or