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Instability of a superconducting line vortex

Instability of a superconducting line vortex
Instability of a superconducting line vortex
We show that a rectilinear superconducting line vortex lying in a current with non-zero component along its axis is unstable to small helical perturbations. The study of exact and numerical solutions for the nonlinear evolution of such perturbations leads us to make some conjectures about the growth of the instability.These results are then used to demonstrate that curvature (or line tension) may not be neglected even for a vortex line which is initially nearly straight.
0167-2789
139-153
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91

Richardson, Giles (1997) Instability of a superconducting line vortex. Physica D: Nonlinear Phenomena, 110, 139-153. (doi:10.1016/S0167-2789(97)00119-X).

Record type: Article

Abstract

We show that a rectilinear superconducting line vortex lying in a current with non-zero component along its axis is unstable to small helical perturbations. The study of exact and numerical solutions for the nonlinear evolution of such perturbations leads us to make some conjectures about the growth of the instability.These results are then used to demonstrate that curvature (or line tension) may not be neglected even for a vortex line which is initially nearly straight.

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Accepted/In Press date: 9 May 1997
Published date: December 1997
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 404033
URI: https://eprints.soton.ac.uk/id/eprint/404033
ISSN: 0167-2789
PURE UUID: f1954955-874d-4990-9adf-c859d3604f49

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Date deposited: 05 Jan 2017 08:52
Last modified: 17 Jul 2017 17:37

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