FIRST-ORDER VORTEX DYNAMICS

A non-dissipative model for vortex motion in thin superconductors is c onsidered The Lagrangian is a Galilean invariant version of the Ginzbu rg-Landau model for time-dependent fields, with kinetic terms linear i n the first time derivatives of the fields. It is shown how, for certa in values of the coupling constants, the field dynamics can be reduced to first order differential equations For the vortex positions. Two v ortices circle around one another at constant speed and separation in this model. (C) 1997 Academic Press.