Vortex Dynamics in Dissipative Systems

Physics – Condensed Matter – Superconductivity

Scientific paper

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revtex, 5 pages, 1 encapsulated postscript figure (included), uses aps.sty, epsf.tex

Scientific paper

10.1103/PhysRevLett.78.1908

We derive the exact equation of motion for a vortex in two- and three- dimensional non-relativistic systems governed by the Ginzburg-Landau equation with complex coefficients. The velocity is given in terms of local gradients of the magnitude and phase of the complex field and is exact also for arbitrarily small inter-vortex distances. The results for vortices in a superfluid or a superconductor are recovered.

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