scholarly journals Time Dependent Ginzburg-Landau Equations for Modeling Vortices Dynamics in Type-II Superconductors with Defects Under A Transport Current

2012 ◽  
Vol 36 ◽  
pp. 1206-1210 ◽  
Author(s):  
K.S. Grishakov ◽  
P.N. Degtyarenko ◽  
N.N. Degtyarenko ◽  
V.F. Elesin ◽  
V.S. Kruglov
Keyword(s):  
Transport Current ◽  
Time Dependent ◽  
Type Ii ◽  
Ginzburg Landau ◽  
Type Ii Superconductors ◽  
Ginzburg Landau Equations

Nucleation of vortices with a temperature and time-dependent Ginzburg–Landau model of superconductivity

2003 ◽  
Vol 14 (1) ◽  
pp. 111-127 ◽  
Author(s):  
E. COSKUN ◽  
Z. CAKIR ◽  
P. TAKAC
Keyword(s):  
Numerical Experiments ◽  
Time Dependent ◽  
Type I ◽  
Type Ii ◽  
Meissner State ◽  
Temperature Dependent ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Type Ii Superconductors ◽  
Temperature Parameter

The standard scales that are used to non-dimensionalize the temperature- and time-dependent Ginzburg–Landau (TTDGL) model developed by Schmid [27], eliminate temperature- dependent parameters, and thus do not allow for superconducting phenomena due to variations in temperature. In this study, a set of new scales is presented to non-dimensionalize the TTDGL model so that the resulting dimensionless system depends upon a temperature parameter as well. Moreover, some properties of solutions to TTDGL system as a function of temperature are explored. Numerical experiments illustrating the temperature-dependency of vortex nucleation in type-II superconductors as well as the transition to the Meissner state in type-I superconductors are presented.

Numerical Simulation of Phase Transitions in Type-II Annular Superconductor Using Time-dependent Ginzburg-Landau Equations

2018 ◽  
Vol 31 (11) ◽  
pp. 3445-3451 ◽  
Author(s):  
Hasnain Mehdi Jafri ◽  
Xingqiao Ma ◽  
Congpeng Zhao ◽  
Houbing Huang ◽  
Tauseef Anwar ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Phase Transitions ◽  
Time Dependent ◽  
Type Ii ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equations
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