October 8th abstract

Abstract for the Brown Bag Seminar on October 8th, Lili Ju:

In this talk, We investigate the vortex nucleation in a thin superconducting hollow sphere. The problem is studied using a simplified system of Ginzburg-Landau equations. We present finite volume methods which preserve the discrete gauge invariance for the time dependent simulation. 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.

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