ON THE DYNAMICS OF VORTICES IN A NONRELATIVISTIC GINZBURG-LANDAU MODEL

Some general features of the dynamics of vortices in a nonrelativistic Ginzburg-Landau model are derived from the conservation laws of linea r and angular momentum which are expressed as moments of a suitable to pological density. As a result, a vortex is shown to be spontaneously pinned in the absence of external forces, while it would drift in a di rection perpendicular to an applied uniform Lorentz force at a speed c alculable in terms of its initial configuration. We thus provide a sim ple explanation within our model of an effect analogous to the familia r Magnus ''paradox'' of fluid dynamics.