A model for vortex nucleation in the Ginzburg-Landau equations

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.

arXiv comment19 pages, 0 figures

References in corpus (2)

• Sinc approximation of algebraically decaying functions
• Vortices in a Stochastic Parabolic Ginzburg-Landau Equation

Cited by in corpus (1)

• Stochastic quantization of an Abelian gauge theory