Modeling and Analysis of a Periodic Ginzburg–Landau Model for Type-II Superconductors

1993 ◽  
Vol 53 (3) ◽  
pp. 689-717 ◽  
Author(s):  
Qiang Du ◽  
Max D. Gunburger ◽  
Janet S. Peterson
Keyword(s):  
Type Ii ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Modeling And Analysis ◽  
Type Ii Superconductors

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.

scholarly journals Effect of intensity and size of defect on Ginzburg-Landau free energy for type II superconductors

2020 ◽  
Author(s):  
Dyah Eka Puspitasari ◽  
Nizar Rahmanda Hardiyanto ◽  
Eny Latifah ◽  
Hari Wisodo
Keyword(s):  
Free Energy ◽  
Type Ii ◽  
Ginzburg Landau ◽  
Type Ii Superconductors ◽  
Landau Free Energy

scholarly journals Wave Equations of Elastic Type-II Superconductors

2000 ◽  
Vol 16 (1) ◽  
pp. 31-36
Author(s):  
K. C. Chen ◽  
C.S. Yeh
Keyword(s):  
Wave Equations ◽  
Evolution Equations ◽  
Landau Equation ◽  
Entropy Density ◽  
Type Ii ◽  
State Variables ◽  
Fourier Law ◽  
Ginzburg Landau ◽  
Generalized Entropy ◽  
Type Ii Superconductors

ABSTRACTIt is shown that when the thermodynamic fluxes are included as independent thermodynamic state variables of the generalized entropy density, the constitutive equations for the conserved state variables and the evolution equations for the nonconserved state variables of elastic type-II superconductors can be derived systematically. In particular, the transport equations generalizing the Fourier law for heat transport and the time-dependent Ginzburg-Landau equation for the relaxation of superelectron are proposed in this paper.

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