Publication 16-CNA-026

A Model For Vortex Nucleation In The Ginzburg-Landau Equations

Gautam Iyer
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
gautam@math.cmu.edu

Daniel Spirn
School of Mathematics
University of Minnesota
Minneapolis, MN 55455
spirn@math.umn.edu

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.

Get the paper in its entirety as  16-CNA-026.pdf

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