A model for vortex nucleation in the Ginzburg-Landau equations
Analysis of PDEs
2017-06-07 v2 Probability
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.
Keywords
Cite
@article{arxiv.1610.06888,
title = {A model for vortex nucleation in the Ginzburg-Landau equations},
author = {Gautam Iyer and Daniel Spirn},
journal= {arXiv preprint arXiv:1610.06888},
year = {2017}
}
Comments
19 pages, 0 figures