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

COŞKUN E.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 568
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.physa.2021.125731
  • Dergi Adı: Physica A: Statistical Mechanics and its Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Artic & Antarctic Regions, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Time-dependent Ginzburg-Landau model, Superconductivity, Symmetric vortex solution
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

© 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.