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A mean-field model of superconducting vortices in three dimensions

By S. J. Chapman

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

Topics: Partial differential equations, Optics, electromagnetic theory
Year: 1995
DOI identifier: 10.1137/S0036139994263665
OAI identifier: oai:generic.eprints.org:599/core69

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