Dynamics of vortex lines in the three-dimensional complex Ginsburg-Landau equation : instability, stretching, entanglement, and helices.

Journal Article · Fri May 01 04:00:00 EDT 1998 · Phys. Rev. E

DOI:https://doi.org/10.1103/PhysRevE.57.5276· OSTI ID:938259

Aranson, I S; Bishop, A R; Kramer, L; LANL,

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.

• Research Organization: Argonne National Laboratory (ANL)
• Sponsoring Organization: ER
• DOE Contract Number: AC02-06CH11357
• OSTI ID: 938259
• Report Number(s): ANL/MSD/JA-28659
• Journal Information: Phys. Rev. E, Journal Name: Phys. Rev. E Journal Issue: 5 ; May 1998 Vol. 57; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: ENGLISH

Related Subjects

97 MATHEMATICS AND COMPUTING
99 GENERAL AND MISCELLANEOUS
DYNAMICS
FILAMENTS
GINZBURG-LANDAU THEORY
INSTABILITY
STABILITY
THREE-DIMENSIONAL CALCULATIONS
VORTICES