The bifurcation structure of a thin superconducting loop with small variations in its thickness
The bifurcation structure of a thin superconducting loop with small variations in its thickness
We study bifurcations between the normal and superconducting states, and between superconducting states with different winding numbers, in a thin loop of superconducting wire, of uniform thickness, to which a magnetic field is applied. We then consider the response of a loop with small thickness variations. We find that close to the transition between normal and superconducting states lies a region where the leading order problem has repeated eigenvalues. This leads to a rich structure of possible behaviours. A weakly nonlinear stability analysis is conducted to determine which of these behaviours occur in practice.
685-703
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91
1 December 2000
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91
Richardson, Giles
(2000)
The bifurcation structure of a thin superconducting loop with small variations in its thickness.
Quarterly of Applied Mathematics, 58 (4), .
Abstract
We study bifurcations between the normal and superconducting states, and between superconducting states with different winding numbers, in a thin loop of superconducting wire, of uniform thickness, to which a magnetic field is applied. We then consider the response of a loop with small thickness variations. We find that close to the transition between normal and superconducting states lies a region where the leading order problem has repeated eigenvalues. This leads to a rich structure of possible behaviours. A weakly nonlinear stability analysis is conducted to determine which of these behaviours occur in practice.
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Quarterly of Applied Mathematics 2000 Richardson.pdf
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Published date: 1 December 2000
Organisations:
Applied Mathematics
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Local EPrints ID: 404024
URI: http://eprints.soton.ac.uk/id/eprint/404024
PURE UUID: 2751a6f0-f3cf-4f9c-8562-94ce01aeac2c
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Date deposited: 20 Dec 2016 16:52
Last modified: 16 Mar 2024 04:00
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