On some bounds for the solutions of the semi-discretized time-dependent Ginzburg-Landau equations

Coşkun E.

Turkish Journal of Mathematics, vol.21, no.SUPPL., pp.25-44, 1997 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: SUPPL.
  • Publication Date: 1997
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.25-44
  • Keywords: Ginzburg-Landau Model, Natural boundary conditions, Semi-discrete Approximation, Superconductivity
  • Karadeniz Technical University Affiliated: Yes

Abstract

We study the two-dimensional system of Time-Dependent Ginzburg-Landau Equations(TDGL) for modeling a thin film of superconductor subject to a uniform magnetic field. We discretize the TDGL for the space variables using bond variables and staggered grid partitioning technique. By investigating the temporal evolution of semi-discrete Helmholtz enery functional and that of Semi-discretized TDGL, we provide bounds for some observable physical quantities of interest such as superelectron density, supercurrent density, charge density, electric field, and induced magnetic field. © TÜBİTAK.