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

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.

References in corpus (2)

• Bifurcation diagram and pattern formation in superconducting wires with electric currents
• The resistive state in a superconducting wire: Bifurcation from the normal state

Cited by in corpus (4)

• Global stability of the normal state of superconductors in the presence of a strong electric current
• Qualitative modifications and new dynamic phases in the phase diagram of 1D superconducting wires driven with electric currents
• Influence of the boundary conditions on the current flow pattern along a superconducting wire
• Mixed normal-superconducting states in the presence of strong electric currents