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A New Formula for the Energy of Bulk Superconductivity

  Published:2016-02-11
 Printed: Sep 2016
  • Ayman Kachmar,
    Department of Mathematics, Lebanese University, Hadat, Lebanon
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Abstract

The energy of a type 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: Ginzburg-Landau functional Ginzburg-Landau functional
MSC Classifications: 35B40, 35P15, 35Q56 show english descriptions Asymptotic behavior of solutions
Estimation of eigenvalues, upper and lower bounds
Ginzburg-Landau equations
35B40 - Asymptotic behavior of solutions
35P15 - Estimation of eigenvalues, upper and lower bounds
35Q56 - Ginzburg-Landau equations
 

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