Chapman, S. J. and Heron, D. R. (1998) The motion of superconducting vortices in thin films of varying thickness. SIAM Journal on Applied Mathematics, 58 (6). pp. 1808-1825. ISSN 1095-712X
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Abstract
The interaction of superconducting vortices with superconductor/vacuum interfaces is considered. A vortex is first shown to intersect such an interface normally. Various thin-film models are then formulated, corresponding to different parameter regimes. A local analysis of a vortex is performed, and a law of motion for each vortex deduced. This law of motion implies that the vortex will move to the locally thinnest part of the film, and is consistent with the vortex moving under the curvature induced by being forced to intersect the boundaries of the film normally
Item Type: | Article |
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Uncontrolled Keywords: | variable thickness; pinning |
Subjects: | O - Z > Partial differential equations O - Z > Optics, electromagnetic theory |
Research Groups: | Oxford Centre for Industrial and Applied Mathematics |
ID Code: | 603 |
Deposited By: | Jon Chapman |
Deposited On: | 22 May 2007 |
Last Modified: | 29 May 2015 18:25 |
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