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The maximal current carried by a normal–superconducting interface in the absence of magnetic field

Part of: Asymptotic theory Boundary value problems Applications to specific types of physical systems

Published online by Cambridge University Press:  27 August 2019

L. K. HART  and
Y. ALMOG Open the ORCID record for Y. ALMOG [Opens in a new window]
L. K. HART
Affiliation:
Department of Mathematics, Louisiana State University, Baton Rouge, LA70803, USA email: lhart31@math.gatech.edu
Y. ALMOG
Affiliation:
Department of Mathematics, Ort Braude College, Carmiel21610, Israel email: yalmog@braude.ac.il
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Abstract

Modelling a normal–superconducting interface, we consider a semi-infinite wire whose edge is adjacent to a normal magnetic metal, assuming asymptotic convergence, away from the boundary, to the purely superconducting state. We obtain that the maximal current which can be carried by the interface diminishes in the small normal conductivity limit.

Keywords

superconductivitymaximal currentnormal conductivityGinzburg-Landau

MSC classification

Primary: 82D55: Superconductors
Secondary: 34E10: Perturbations, asymptotics 34B15: Nonlinear boundary value problems
Type
Papers
Information
European Journal of Applied Mathematics , Volume 31 , Issue 3 , June 2020 , pp. 544 - 552
Copyright
© Cambridge University Press 2019

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Footnotes

†

This research was supported by NSF Grant DMS-1613471.

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