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Phys. Rev. E 58, 2576–2579 (1998)

Reconnection of vortex filaments in the complex Ginzburg-Landau equation

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Michael Gabbay*, Edward Ott†, and Parvez N. Guzdar
Institute for Plasma Research, University of Maryland, College Park, Maryland 20742

Received 24 July 1997; published in the issue dated August 1998

A criterion for the reconnection of vortex filaments in the complex Ginzburg-Landau equation is presented. In particular, we give an estimate of the maximum intervortex separation beyond which coplanar filaments of locally opposite charge will not reconnect. This is done by balancing the motion of the filaments toward each other that would result if they were straight (a two-dimensional effect) with the opposing motion due to the filament curvature. Numerical experiments are in good agreement with the estimated vortex separation.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.58.2576
DOI:
10.1103/PhysRevE.58.2576
PACS:
82.40.Ck, 47.32.Cc

*Author to whom correspondence should be addressed. Present address: Laboratory of Applied Mathematics, Mt. Sinai School of Medicine, Box 1012, New York, NY 10029. FAX: 212-426-5037. Electronic address: gabbay@camelot.mssm.edu

†Also Department of Physics, Department of Electrical Engineering and Institute for Systems Research.

 
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