scholarly journals Bulk superconductivity in Type II superconductors near the second critical field

2010 ◽  
pp. 461-470 ◽  
Author(s):  
Soren Fournais ◽  
Bernard Helffer
Keyword(s):  
Critical Field ◽  
Type Ii ◽  
Type Ii Superconductors ◽  
Bulk Superconductivity ◽  
Second Critical Field

scholarly journals A New Formula for the Energy of Bulk Superconductivity

2016 ◽  
Vol 59 (3) ◽  
pp. 553-563 ◽  
Author(s):  
Ayman Kachmar
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Thermodynamic Limit ◽  
Critical Field ◽  
Type Ii ◽  
Bulk Superconductivity ◽  
Type Ii Superconductor ◽  
Special Limit ◽  
Second Critical Field ◽  
New Formula

AbstractThe 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 L4-norm.

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