Stretching of vortex lines and generation of vorticity in the three-dimensional complex Ginzburg-Landau Equation

Details Stretching of vortex lines and generation of vorticity in the three-dimensional complex Ginzburg-Landau Equation Stretching of vortex lines and generation of vorticity in the three-dimensional complex Ginzburg-Landau Equation

1997-05-19

arxiv.org/abs/patt-sol/9705009v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 2 figures, submitted to Phys. Rev. Lett

Scientific paper

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 self-generation of vorticity.

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