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Publication 143

A Model For Vortex Nucleation In The Ginzburg-Landau Equations


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

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

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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