A Model for Vortex Nucleation in the Ginzburg-Landau Equations

作者:Iyer Gautam*; Spirn Daniel
来源:Journal of Nonlinear Science, 2017, 27(6): 1933-1956.
DOI:10.1007/s00332-017-9391-4

摘要

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.

  • 出版日期2017-12

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