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Motion of vortices in type-II superconductors

Motion of vortices in type-II superconductors
Motion of vortices in type-II superconductors
The methods of formal asymptotics are used to examine the behaviour of a system of curvilinear vortices in a type II superconductor as the thickness of the vortex cores tends to zero. The vortices then appear as singularities in the field equation and are analogous to line vortices in inviscid hydrodynamics. A local analysis near each vortex core gives an equation of motion governing the evolution of these singularities.
0036-1399
1275-1296
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 (1995) Motion of vortices in type-II superconductors. SIAM Journal on Applied Mathematics, 55 (5), 1275-1296. (doi:10.1137/S0036139994263872).

Record type: Article

Abstract

The methods of formal asymptotics are used to examine the behaviour of a system of curvilinear vortices in a type II superconductor as the thickness of the vortex cores tends to zero. The vortices then appear as singularities in the field equation and are analogous to line vortices in inviscid hydrodynamics. A local analysis near each vortex core gives an equation of motion governing the evolution of these singularities.

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SIAM Journal on Applied Mathematics 1995 Chapman.pdf - Version of Record
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Accepted/In Press date: 6 September 1994
Published date: October 1995
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 404034
URI: http://eprints.soton.ac.uk/id/eprint/404034
DOI: doi:10.1137/S0036139994263872
ISSN: 0036-1399
PURE UUID: 756ad783-be4e-4344-a21f-223f7a96b3d2
ORCID for Giles Richardson: ORCID iD orcid.org/0000-0001-6225-8590

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Date deposited: 05 Jan 2017 15:05
Last modified: 16 Mar 2024 04:00

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Author: Stephen Jon Chapman
Author: Giles Richardson ORCID iD

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