Vortex pattern in a nanoscopic cylinder

A superconducting nanoscopic cylinder, with radius $R = 4.0\xi$ and height $D = 4.0\xi$ is submitted to an applied field along the cylinder axis. The Ginzburg-Landau theory is solved in three-dimensions using the simulated annealing technique to minimize the free energy functional. We obtain different vortex patterns, some of which are giant vortices and up to twelve vortices are able to fit inside the cylinder