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

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

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 boundar...

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Veröffentlicht in:Acta applicandae mathematicae 2011-07, Vol.115 (1), p.63-74
Hauptverfasser: Alstrøm, Tommy Sonne, Sørensen, Mads Peter, Pedersen, Niels Falsig, Madsen, Søren
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Boundaries
Calculus of Variations and Optimal Control
Optimization
Computational Mathematics and Numerical Analysis
Defects
Finite element analysis
Fluid flow
Geometry
Investigations
Magnetic flux
Magnetism
Mathematical analysis
Mathematics
Mathematics and Statistics
Partial Differential Equations
Phase transitions
Probability Theory and Stochastic Processes
Retarding
Studies
Superconductivity
Superconductors
Vortices
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Zusammenfassung: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.
ISSN:0167-8019
1572-9036
DOI:10.1007/s10440-010-9580-8