A MEAN-FIELD MODEL OF SUPERCONDUCTING VORTICES IN 3 DIMENSIONS
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...
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| Format: | Journal article |
| Language: | English |
| Published: |
1995
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| Summary: | 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. |
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