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

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  • Coskun, Erhan

Abstract

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.

Suggested Citation

  • Coskun, Erhan, 2021. "On the properties of a single vortex solution of Ginzburg–Landau model of superconductivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).
  • Handle: RePEc:eee:phsmap:v:568:y:2021:i:c:s0378437121000030
    DOI: 10.1016/j.physa.2021.125731
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    References listed on IDEAS

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    1. Dzhumanov, S., 2019. "Bosonization of Cooper pairs and novel Bose-liquid superconductivity and superfluidity in high-Tc cuprates and other exotic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 197-209.
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    Cited by:

    1. Coskun, Erhan, 2023. "On the numerical stability and transitional stages of time-dependent Ginzburg–Landau model of superconductivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).

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