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arXiv · 1301.3801

Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field

Lydia Peres Hari·Jacob Rubinstein·Peter Sternberg
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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.

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Lydia Peres Hari, Jacob Rubinstein, Peter Sternberg. 2013-01-16. Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field. https://doi.org/10.1016/j.physd.2013.06.005

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