Chapman, S. J. and Heron, D. R. (2003) A hierarchy of models for superconducting thin films. SIAM Journal of Applied Mathematics, 63 (6). pp. 20872127. ISSN 00361399

PDF
3MB 
Abstract
A hierarchy of models for typeII superconducting thin films is presented. Through appropriate asymptotic limits this hierarchy passes from the mesoscopic GinzburgLandau model to the London model with isolated vortices as function singularities to vortexdensity models and finally to macroscopic criticalstate models. At each stage it is found that a key nondimensional parameter is , where is the penetration depth of the magnetic field, a material parameter, and d and L are a typical thickness and lateral dimension of the film,respectively. The models simplify greatly if this parameter is large or small.
Item Type:  Article 

Subjects:  O  Z > Partial differential equations O  Z > Optics, electromagnetic theory 
Research Groups:  Oxford Centre for Industrial and Applied Mathematics 
ID Code:  298 
Deposited By:  Jon Chapman 
Deposited On:  04 Oct 2006 
Last Modified:  29 May 2015 18:19 
Repository Staff Only: item control page