A one-dimensional model for superconductivity in a thin
wire of slowly varying cross-section
A one-dimensional model for superconductivity in a thin
wire of slowly varying cross-section
Using formal asymptotics, a one–dimensional Ginzburg–Landau model describing superconductivity in a thin wire of arbitrary shape and slowly varying cross-section is derived. The model is valid for all magnetic fields and for temperatures T, such that the thickness of the wire is much less than the coherence length ξT. The model is used to calculate the normal–superconducting transition curves for closed wire loops of different cross-sections, as functions of temperature and the magnetic flux cutting the loop. This shows a periodic dependence on flux, superimposed on a parabolic background.
2549-2564
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91
Rubinstein, Jacob
e8965363-66f1-43bc-92ad-a43c96574250
8 July 1999
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91
Rubinstein, Jacob
e8965363-66f1-43bc-92ad-a43c96574250
Richardson, Giles and Rubinstein, Jacob
(1999)
A one-dimensional model for superconductivity in a thin
wire of slowly varying cross-section.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 455 (1987), .
(doi:10.1098/rspa.1999.0416).
Abstract
Using formal asymptotics, a one–dimensional Ginzburg–Landau model describing superconductivity in a thin wire of arbitrary shape and slowly varying cross-section is derived. The model is valid for all magnetic fields and for temperatures T, such that the thickness of the wire is much less than the coherence length ξT. The model is used to calculate the normal–superconducting transition curves for closed wire loops of different cross-sections, as functions of temperature and the magnetic flux cutting the loop. This shows a periodic dependence on flux, superimposed on a parabolic background.
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Proceedings Mathematical 1999 Richardson.pdf
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Accepted/In Press date: 26 January 1999
Published date: 8 July 1999
Organisations:
Applied Mathematics
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Local EPrints ID: 404029
URI: http://eprints.soton.ac.uk/id/eprint/404029
ISSN: 1364-5021
PURE UUID: 2c88bc26-f13d-442b-8919-b2bd0b330d57
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Date deposited: 22 Dec 2016 11:35
Last modified: 16 Mar 2024 04:00
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Author:
Jacob Rubinstein
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