The University of Southampton
University of Southampton Institutional Repository

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.

PDF
SIAM Journal on Applied Mathematics 1998 Chapman.pdf - Version of Record
Restricted to Repository staff only
Request a copy

More information

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

Identifiers

Local EPrints ID: 404030
URI: https://eprints.soton.ac.uk/id/eprint/404030
ISSN: 0036-1399
PURE UUID: 4b00d650-7adb-4ad3-b042-54a5e7ec6c3b

Catalogue record

Date deposited: 03 Jan 2017 16:41
Last modified: 17 Jul 2017 17:37

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×