On the properties of a single vortex solution of Ginzburg–Landau model of superconductivity


COŞKUN E.

Physica A: Statistical Mechanics and its Applications, vol.568, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 568
  • Publication Date: 2021
  • Doi Number: 10.1016/j.physa.2021.125731
  • Title of Journal : Physica A: Statistical Mechanics and its Applications

Abstract

© 2021 Elsevier B.V.We closely examine a single vortex formation in an infinitely long cylinder with a rectangular crossection through field-cooling process with Temperature and Time-dependent Ginzburg–Landau model. We identify a solution for which components of vector potential and order function display a certain symmetry, which we name symmetric vortex solution. Furthermore, we observe that single vortex formation is associated with a jump discontinuity in all components of solution and associated observables, and illustrate graphically dynamics of transition. We carry out simulations in a vectorial algorithm using a variable order stiff ODE integration scheme of MATLAB.