Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1997-12-09
Nonlinear Sciences
Pattern Formation and Solitons
Submitted to Phys. Rev. E., RevTex, 11 pages, 11 figures
Scientific paper
10.1103/PhysRevE.57.5276
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 shown that a straight vortex line is unstable with respect to spontaneous stretching and bending in a substantial range of parameters of the CGLE, resulting in formation of persistent entangled vortex configurations. The boundary of the three-dimensional instability in parameter space is determined. Near the stability boundary, the supercritical saturation of the instability is found, resulting in the formation of stable helicoidal vortices.
Aranson Igor S.
Bishop Alan R.
Kramer Laurence
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