Chapman, S. J. (1995) Superheating Field of Type II Superconductors. SIAM Journal on Applied Mathematics, 55 (5). pp. 12331258. ISSN 1095712X

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Abstract
The superheating magnetic field of a type II superconductor is examined, using the timedependent Ginzburg–Landau equations and the methods of formal asymptotics. The superconducting solution in a halfspace is found to exist only for magnetic fields lower than some critical value where there is a folding over of the solution branch. A linear stability analysis is performed both in one and two dimensions, giving differing criteria for stability. Finally, superheating fields for more general geometries are considered, and in particular the case of a sinewave perturbation of a halfspace is examined.
Item Type:  Article 

Uncontrolled Keywords:  superconductivity; Ginzburg–Landau equations; superheating field 
Subjects:  O  Z > Partial differential equations O  Z > Optics, electromagnetic theory 
Research Groups:  Oxford Centre for Industrial and Applied Mathematics 
ID Code:  600 
Deposited By:  Jon Chapman 
Deposited On:  22 May 2007 
Last Modified:  29 May 2015 18:25 
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