NUMERICAL-METHODS FOR SIMULATING GINZBURG-LANDAU VORTICES

Numerical solution to the Ginzburg-Landau (GL) equation becomes infeas ible as the GL parameter kappa and the number of GL vortices increase to a physically interesting regime. It is in this regime that we focus our attention to design a simulated annealing approach for minimizing the associated renormalized energy to study the GL vortex configurati ons. This approach applied to a commonly used model produces vortex co nfigurations which are of interest in recent studies.