报告人： Prof. Lili Ju
Numerical Simulations of the Quantized Vortices on a Thin Superconducting Hollow Sphere
In this talk, we investigate the vortex nucleation on a thin superconducting hollow sphere. The problem is studied using a simplified system of Ginzburg-Landau equations which are valid in the thin spherical shell limit. We present numerical algorithms which preserve the discrete gauge invariance for the time dependent simulation and prove their theoretical convergence. 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.
报告时间： 2006年6月16日(周五) 下午4:00--5:00