A New Formula for the Energy of Bulk Superconductivity

Kachmar, Ayman

Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 553-563

Résumé

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.

Détail

DOI : 10.4153/CMB-2016-004-x

Mots-clés : 35B40, 35P15, 35Q56, Ginzburg–Landau functional

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