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


Coskun E. , CAKIR Z., TAKAC P.

EUROPEAN JOURNAL OF APPLIED MATHEMATICS, cilt.14, ss.111-127, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 14
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1017/s0956792502004990
  • Dergi Adı: EUROPEAN JOURNAL OF APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.111-127

Özet

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.