Chapman, S. J. (1995) A mean-field model of superconducting vortices in three dimensions. SIAM Journal on Applied Mathematics, 55 (5). pp. 1259-1274. ISSN 1095-712X
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Abstract
A mean-field model for the motion of vortices in a type II superconductor is formulated, drawing on analogies with vortices in an inviscid fluid. The model admits discontinuous solutions, and the conditions on such an interface are derived. In a natural limiting case the model is shown to reduce to a novel, vectorial nonlinear diffusion equation. Finally, generalizations of the model to incorporate vortex pinning and fluctuation effects are described.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | superconductivity; mean-field; vortices |
| Subjects: | O - Z > Partial differential equations O - Z > Optics, electromagnetic theory |
| Research Groups: | Oxford Centre for Industrial and Applied Mathematics |
| ID Code: | 599 |
| Deposited By: | Jon Chapman |
| Deposited On: | 22 May 2007 |
| Last Modified: | 20 Jul 2009 14:22 |
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