A Model for Vortex Nucleation in the Ginzburg–Landau Equations
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.
Publisher URL: https://link.springer.com/article/10.1007/s00332-017-9391-4
DOI: 10.1007/s00332-017-9391-4
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