Abstract
Abstract We investigate the formation and motion of vortices in a three-dimensional cylindrical superconductor using a computer simulation which solves the relevant Ginzburg-Landau equations. We look particularly at the case of a cylindrical superconductor with an external current density and magnetic field applied in the direction of the cylinder axis. The magnetic field lines which result from the applied current density are circular and perpendicular to the applied field lines. Two types of competing vortex form which tend to become twisted, causing the vortices to be pinned by each other up to a critical current density. We show snapshot pictures illustrating the vortex behaviour in this case just above and below Jc and also comment on the formation of vortices at very high current densities.
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