Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field
Analysis of PDEs
2015-06-12 v1
Abstract
Using a Ginzburg-Landau model, we study the vortex behavior of a rectangular thin film superconductor subjected to an applied current fed into a portion of the sides and an applied magnetic field directed orthogonal to the film. Through a center manifold reduction we develop a rigorous bifurcation theory for the appearance of periodic solutions in certain parameter regimes near the normal state. The leading order dynamics yield in particular a motion law for kinematic vortices moving up and down the center line of the sample. We also present computations that reveal the co-existence and periodic evolution of kinematic and magnetic vortices.
Keywords
Cite
@article{arxiv.1301.3801,
title = {Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field},
author = {Lydia Peres Hari and Jacob Rubinstein and Peter Sternberg},
journal= {arXiv preprint arXiv:1301.3801},
year = {2015}
}