Γ-stability and vortex motion in type II superconductors

Matthias Kurzke; Daniel Spirn

doi:10.1080/03605302.2010.520182

Γ-stability and vortex motion in type II superconductors

Matthias Kurzke, Daniel Spirn

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We consider a time-dependent Ginzburg-Landau equation for superconductors with a strictly complex relaxation parameter, and derive motion laws for the vortices in the case of a finite number of vortices in a bounded magnetic field. The motion laws correspond to the flux-flow Hall effect. As our main tool, we develop a quantitative Γ-stability result relating the Ginzburg-Landau energy to the renormalized energy.

Original language	English (US)
Pages (from-to)	256-292
Number of pages	37
Journal	Communications in Partial Differential Equations
Volume	36
Issue number	2
DOIs	https://doi.org/10.1080/03605302.2010.520182
State	Published - Feb 1 2011

Keywords

Ginzburg-Landau theory
Superconductivity
Vortex dynamics

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AB - We consider a time-dependent Ginzburg-Landau equation for superconductors with a strictly complex relaxation parameter, and derive motion laws for the vortices in the case of a finite number of vortices in a bounded magnetic field. The motion laws correspond to the flux-flow Hall effect. As our main tool, we develop a quantitative Γ-stability result relating the Ginzburg-Landau energy to the renormalized energy.

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KW - Vortex dynamics

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