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Motion and homogenisation of vortices in anisotropic type-II superconductors

Motion and homogenisation of vortices in anisotropic type-II superconductors
Motion and homogenisation of vortices in anisotropic type-II superconductors
The motion of vortices in an anisotropic superconductor is considered. For a system of well-separated vortices, each vortex is found to obey a law of motion analogous to the local induction approximation, in which velocity of the vortex depends upon the local curvature and orientation. A system of closely packed vortices is then considered, and a mean field model is formulated in which the individual vortex lines are replaced by a vortex density.
0036-1399
587-606
Chapman, Stephen Jon
334b47b6-6302-4e81-9eca-7ee22b2b5c20
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91
Chapman, Stephen Jon
334b47b6-6302-4e81-9eca-7ee22b2b5c20
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91

Chapman, Stephen Jon and Richardson, Giles (1998) Motion and homogenisation of vortices in anisotropic type-II superconductors. SIAM Journal on Applied Mathematics, 58 (2), 587-606. (doi:10.1137/S0036139995282682).

Record type: Article

Abstract

The motion of vortices in an anisotropic superconductor is considered. For a system of well-separated vortices, each vortex is found to obey a law of motion analogous to the local induction approximation, in which velocity of the vortex depends upon the local curvature and orientation. A system of closely packed vortices is then considered, and a mean field model is formulated in which the individual vortex lines are replaced by a vortex density.

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Accepted/In Press date: 23 October 1996
Published date: April 1998
Organisations: Applied Mathematics

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Local EPrints ID: 404030
URI: http://eprints.soton.ac.uk/id/eprint/404030
ISSN: 0036-1399
PURE UUID: 4b00d650-7adb-4ad3-b042-54a5e7ec6c3b
ORCID for Giles Richardson: ORCID iD orcid.org/0000-0001-6225-8590

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Date deposited: 03 Jan 2017 16:41
Last modified: 16 Mar 2024 04:00

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Author: Stephen Jon Chapman

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