Vortex Dynamics in Dissipative Systems
patt-sol
2016-09-08 v1 chao-dyn
Superconductivity
High Energy Physics - Theory
Chaotic Dynamics
Pattern Formation and Solitons
Chemical Physics
Fluid Dynamics
Abstract
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.
Cite
@article{arxiv.patt-sol/9611001,
title = {Vortex Dynamics in Dissipative Systems},
author = {Ola Tornkvist and Elsebeth Schroder},
journal= {arXiv preprint arXiv:patt-sol/9611001},
year = {2016}
}
Comments
revtex, 5 pages, 1 encapsulated postscript figure (included), uses aps.sty, epsf.tex