A Model for Vortex Nucleation in the Ginzburg–Landau Equations
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
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