Computer simulations of dynamics of flux lines in type-II superconductors

A method for studying the static and dynamical properties in the superconducting state is proposed, based on computer simulations of the solution of the time-dependent Ginzburg-Landau equation. We examine the dynamics of flux (vortex) lines in type-II superconducting films. It is shown that the nucleation of the superconducting state involves the formation of vortices and antivortices and their annihilation processes, even without an external magnetic field. We also show numerically how a flux line is trapped by a pinning potential.