Chapman, S. J. (1995) A meanfield model of superconducting vortices in three dimensions. SIAM Journal on Applied Mathematics, 55 (5). pp. 12591274. ISSN 1095712X

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Abstract
A meanfield 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; meanfield; 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:  29 May 2015 18:25 
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