The critical field of a bulk type II superconductor with a cylindrical cavity: non-uniform applied magnetic field

2005 ◽  
Vol 73 (1) ◽  
pp. 107-112
Author(s):  
M Masale
Keyword(s):  
Magnetic Field ◽  
Critical Field ◽  
Applied Magnetic Field ◽  
Cylindrical Cavity ◽  
Type Ii ◽  
Type Ii Superconductor

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.

Calculations of the equilibrium configurations of flux lines in thin films of type II superconductors

1969 ◽  
Vol 47 (14) ◽  
pp. 1447-1460 ◽  
Author(s):  
C. Carter
Keyword(s):  
Magnetic Field ◽  
Thin Films ◽  
Applied Magnetic Field ◽  
Type Ii ◽  
Gibbs Function ◽  
Type Ii Superconductors ◽  
Flux Lines ◽  
Type Ii Superconductor ◽  
Equilibrium Configurations ◽  
London Theory

The London theory is used to calculate the equilibrium configurations of flux lines in thin films of a type II superconductor as a function of the applied magnetic field. Three possible geometrical configurations, of increasing complexity, are considered in detail, and the Gibbs function is minimized with respect to the parameters which define the configuration. The range of applied magnetic field for which each configuration is stable is determined, and hence B–H curves are constructed. A transition from one configuration to another causes a discontinuity in the B–H curve at values of H which roughly correspond to those found experimentally by Sutton.

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