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 |
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| container_title | Acta applicandae mathematicae |
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| creator | Alstrøm, Tommy Sonne Sørensen, Mads Peter Pedersen, Niels Falsig Madsen, Søren |
| description | 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. |
| doi_str_mv | 10.1007/s10440-010-9580-8 |
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| subjects | 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 |
| title | Magnetic Flux Lines in Complex Geometry Type-II Superconductors Studied by the Time Dependent Ginzburg-Landau Equation |
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