Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Dynamics of vortex lines in the three-dimensional complex Ginzburg-Landau equation: Instability, stretching, entanglement, and helices

Journal Article · · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
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. {copyright} {ital 1998} {ital The American Physical Society}
OSTI ID:
678727
Journal Information:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 5 Vol. 57; ISSN 1063-651X; ISSN PLEEE8
Country of Publication:
United States
Language:
English

Similar Records

Dynamics of vortex lines in the three-dimensional complex Ginsburg-Landau equation : instability, stretching, entanglement, and helices.
Journal Article · Fri May 01 00:00:00 EDT 1998 · Phys. Rev. E · OSTI ID:938259

Instability and stretching of vortex lines in the three-dimensional complex ginzburg-Landau equation.
Journal Article · Sun Nov 23 23:00:00 EST 1997 · Phys. Rev. Lett. · OSTI ID:938062

Spiral Motion in a Noisy Complex Ginzburg-Landau Equation
Journal Article · Sat Feb 28 23:00:00 EST 1998 · Physical Review Letters · OSTI ID:597239