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