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


Physica A: Statistical Mechanics and its Applications, vol.568, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 568
  • Publication Date: 2021
  • Doi Number: 10.1016/j.physa.2021.125731
  • Journal Name: Physica A: Statistical Mechanics and its Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Artic & Antarctic Regions, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Keywords: Time-dependent Ginzburg-Landau model, Superconductivity, Symmetric vortex solution
  • Karadeniz Technical University Affiliated: Yes


© 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.