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Magnetic Flux Lines in Complex Geometry Type-II Superconductors Studied by the Time Dependent Ginzburg-Landau Equation

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Abstract

The time-dependent Ginzburg-Landau equation is solved numerically for type-II superconductors of complex geometry using the finite element method. The geometry has a marked influence on the magnetic vortex distribution and the vortex dynamics. We have observed generation of giant vortices at boundary defects, suppressing the superconducting state far into the superconductor.

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Authors and Affiliations

  1. Department of Informatics, Technical University of Denmark, 2800, Kongens Lyngby, Denmark

    Tommy Sonne Alstrøm

  2. Department of Mathematics, Technical University of Denmark, 2800, Kongens Lyngby, Denmark

    Mads Peter Sørensen & Niels Falsig Pedersen

  3. Mads Clausen Institute, University of Southern Denmark, Alsion 2, 6400, Sønderborg, Denmark

    Søren Madsen

Authors
  1. Tommy Sonne Alstrøm
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  2. Mads Peter Sørensen
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  3. Niels Falsig Pedersen
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  4. Søren Madsen
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Corresponding author

Correspondence to Mads Peter Sørensen.

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This paper is dedicated to the memory of Alwyn C. Scott.

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Alstrøm, T.S., Sørensen, M.P., Pedersen, N.F. et al. Magnetic Flux Lines in Complex Geometry Type-II Superconductors Studied by the Time Dependent Ginzburg-Landau Equation. Acta Appl Math 115, 63–74 (2011). https://doi.org/10.1007/s10440-010-9580-8

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  • DOI: https://doi.org/10.1007/s10440-010-9580-8

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