Numerical simulations of the quantized vortices on a thin superconducting hollow sphere

Authors:
Qiang Du;Lili Ju
Affiliations:
Department of Mathematics, Pennsylvania State University, 218 McAllister Bldg, University Park, PA;Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN
Venue:
Journal of Computational Physics
Year:
2004

Citing 12
Cited 1

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The motion of superconducting vortices in thin films of varying thickness

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Adaptive Galerkin Methods with Error Control for a Dynamical Ginzburg--Landau Model in Superconductivity

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Abstract

In this paper, we investigate the vortex nucleation on a thin superconducting hollow sphere. The problem is studied using a simplified system of Ginzburg-Landau equations. We present numerical algorithms which preserve the discrete gauge invariance for both time dependent and time independent simulations. The spatial discretization is based on a spherical centroidal Voronoi tessellation which offers a very effective high resolution mesh on the sphere for the order parameter as well as other physically interesting variables such as the super-current and the induced magnetic field. Various vortex configurations and energy diagrams are computed. Dynamic responses of the vortices to the applied current are also simulated.