Effective Dynamics of a Magnetic Vortex in a Local Potential |
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| Authors: | Y Strauss IM Sigal |
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| Institution: | (1) Department of Mathematics, University of Toronto, Toronto M5S 3G3, Canada;(2) Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel;(3) Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556-4618, USA |
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| Abstract: | We study a 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
(Gorkov-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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