Instability and stretching of vortex lines in the three-dimensional complex ginzburg-landau equation

I. S. Aranson, A. R. Bishop

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Abstract

The dynamics of curved vortex filaments is studied analytically and numerically in the framework of a three-dimensional complex Ginzburg-Landau equation (CGLE). It is proved that a straight vortex line is unstable with respect to spontaneous stretching and bending in a certain range of parameters of the CGLE, resulting in formation of persistent entangled vortex configurations. The analysis shows that the standard approach relating the velocity of the filament with the local curvature is insufficient to describe the instability and stretching of vortex lines.

Original languageEnglish (US)
Pages (from-to)4174-4177
Number of pages4
JournalPhysical Review Letters
Volume79
Issue number21
DOIs
StatePublished - Nov 24 1997

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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