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

Journal Article · Fri May 01 00:00:00 EDT 1998 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.57.5276· OSTI ID:678727

Aranson, I.S. ^[1]

---

1. Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois60439 [Department of Physics, Bar Ilan University, Ramat Gan52900 (Israel) Bishop, A.R. [Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico87545 (United States) Kramer, L. [Department of Physics, University of Bayreuth, Bayreuth95440 (Germany)

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, Vol. 57, Issue 5; Other Information: PBD: May 1998
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
VORTICES
STABILITY
OSCILLATIONS
VORTEX FLOW
DYNAMICS
GINZBURG-LANDAU THEORY
INSTABILITY
THREE-DIMENSIONAL CALCULATIONS
BENDING
HELICAL CONFIGURATION
CRITICALITY