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Title: Defect Chaos of Oscillating Hexagons in Rotating Convection

Abstract

Using coupled Ginzburg-Landau equations, the dynamics of hexagonal patterns with broken chiral symmetry are investigated, as they appear in rotating non-Boussinesq or surface-tension-driven convection. We find that close to the secondary Hopf bifurcation to oscillating hexagons the dynamics are well described by a single complex Ginzburg-Landau equation (CGLE) coupled to the phases of the hexagonal pattern. At the band center these equations reduce to the usual CGLE and the system exhibits defect chaos. Away from the band center a transition to a frozen vortex state is found. (c) 2000 The American Physical Society.

Authors:
;
Publication Date:
OSTI Identifier:
20216603
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 84; Journal Issue: 21; Other Information: PBD: 22 May 2000; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONVECTIVE INSTABILITIES; SURFACE TENSION; GINZBURG-LANDAU THEORY; CHIRAL SYMMETRY; SYMMETRY BREAKING; BIFURCATION; OSCILLATIONS; THEORETICAL DATA

Citation Formats

Echebarria, Blas, and Riecke, Hermann. Defect Chaos of Oscillating Hexagons in Rotating Convection. United States: N. p., 2000. Web. doi:10.1103/PhysRevLett.84.4838.
Echebarria, Blas, & Riecke, Hermann. Defect Chaos of Oscillating Hexagons in Rotating Convection. United States. doi:10.1103/PhysRevLett.84.4838.
Echebarria, Blas, and Riecke, Hermann. Mon . "Defect Chaos of Oscillating Hexagons in Rotating Convection". United States. doi:10.1103/PhysRevLett.84.4838.
@article{osti_20216603,
title = {Defect Chaos of Oscillating Hexagons in Rotating Convection},
author = {Echebarria, Blas and Riecke, Hermann},
abstractNote = {Using coupled Ginzburg-Landau equations, the dynamics of hexagonal patterns with broken chiral symmetry are investigated, as they appear in rotating non-Boussinesq or surface-tension-driven convection. We find that close to the secondary Hopf bifurcation to oscillating hexagons the dynamics are well described by a single complex Ginzburg-Landau equation (CGLE) coupled to the phases of the hexagonal pattern. At the band center these equations reduce to the usual CGLE and the system exhibits defect chaos. Away from the band center a transition to a frozen vortex state is found. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevLett.84.4838},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 21,
volume = 84,
place = {United States},
year = {2000},
month = {5}
}