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Introduction to the Ginzburg-Landau Equations
IV. VORTEX LINES The vortex line solution comes from solving the equations of motion in cylindrical coordinates. A vortex is a ... mcu (1+˙)2 (25) We can linearize this equation by taking r! 1. We keep only the terms linear in and ˙and the lone 1 r2 goes to zero. This leaves us with a modi ed bessel equation of the rst order.
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