On the dynamics of vortices in a nonrelativistic Ginzburg-Landau model
β Scribed by N. Papanicolaou; Theodore N. Tomaras
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 461 KB
- Volume
- 179
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
We study the Ginzburg-Landau equation on the plane with initial data being the product of n well-separated +1 vortices and spatially decaying perturbations. If the separation distances are O(Ξ΅ -1 ), Ξ΅ 1, we prove that the n vortices do not move on the time scale the location of the j th vortex. The
We consider the two-dimensional Ginzburg-Landau model with magnetic field for a superconductor with a multiply connected cross section. We study energy minimizers in the London limit as the Ginzburg-Landau parameter ΞΊ = 1/ β β to determine the number and asymptotic location of vortices. We show that