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

Erhan Coskun

Physica A: Statistical Mechanics and its Applications, 2021, vol. 568, issue C

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.

Keywords: Time-dependent Ginzburg–Landau model; Superconductivity; Symmetric vortex solution (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:568:y:2021:i:c:s0378437121000030

DOI: 10.1016/j.physa.2021.125731

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