Γ-stability and vortex motion in type II superconductors

Matthias Kurzke, Daniel Spirn

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)256-292
Number of pages37
JournalCommunications in Partial Differential Equations
Volume36
Issue number2
DOIs
StatePublished - Feb 1 2011

Keywords

  • Ginzburg-Landau theory
  • Superconductivity
  • Vortex dynamics

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