Abstract
We study vortex interaction in time dependent Ginzburg-Landau models for superconductivity. We consider both Schrödinger type evolution and dissipative dynamics. The vortices are characterized by an integer circulation of the order parameter field. Asymptotic expansions are constructed for large Ginzburg-Landau parameters. The law of motion is obtained by matching the expansions in the far field and near the vortex core. It is shown that the interaction decays exponentially with distance, and the mobility coefficients of the vortices are derived.
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