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A New Formula for the Energy of Bulk Superconductivity

Published online by Cambridge University Press:  20 November 2018

Ayman Kachmar
Ayman Kachmar*
Affiliation:
Department of Mathematics, Lebanese University, Hadat, Lebanon e-mail: ayman.kashmar@gmail.com
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Abstract

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The energy of a type $\text{II}$ superconductor submitted to an external magnetic field of intensity close to the second critical field is given by the celebrated Abrikosov energy. If the external magnetic field is comparable to and below the second critical field, the energy is given by a reference function obtained as a special (thermodynamic) limit of a non-linear energy. In this note, we give a new formula for this reference energy. In particular, we obtain it as a special limit of a linear energy defined over configurations normalized in the ${{L}^{4}}$-norm.

Keywords

35B4035P1535Q56Ginzburg–Landau functional
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 3 , 01 September 2016 , pp. 553 - 563
Copyright
Copyright © Canadian Mathematical Society 2016

References

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