04-401 Yossi Strauss, I.M. Sigal

Effective Dynamics of a Magnetic Vortex in a Local Potential (98K, LaTeX 2e) Dec 1, 04

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Abstract. We study simplified mean field model of superconductor dynamics in the presence of impurities or for variable superconductor depth. This model is given by the gradient-flow version of the Ginzburg-Landau equations (Grokov-Eliashberg equations) with an addition of a potential term. We find a dynamical law of motion of the vortex center, involving the potential, such that for datum close to a (static) magnetic vortex the solution is close, for all times, to a magnetic vortex whose center obeys this law.

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