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Publication 143

A Model For Vortex Nucleation In The Ginzburg-Landau Equations

Authors:

CMUGautam Iyer
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213


Daniel Spirn
School of Mathematics
University of Minnesota
Minneapolis, MN 55455


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
16-CNA-026.pdf

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