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arXiv · 1610.06888

A model for vortex nucleation in the Ginzburg-Landau equations

Gautam Iyer·Daniel Spirn
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Abstract

This paper studies questions related to the dynamic transition between local and global minimizers in the Ginzburg-Landau theory of superconductivity. We derive a heuristic equation governing the dynamics of vortices that are close to the boundary, and of dipoles with small inter vortex separation. We consider a small random perturbation of this equation, and study the asymptotic regime under which vortices nucleate.

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Gautam Iyer, Daniel Spirn. 2017-04-27. A model for vortex nucleation in the Ginzburg-Landau equations. https://doi.org/10.1007/s00332-017-9391-4

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