Instabilities of hexagonal patterns with broken chiral symmetry

Blas Echebarria, Hermann Riecke

Research output: Contribution to journalArticle

17 Scopus citations

Abstract

Three coupled Ginzburg-Landau equations for hexagonal patterns with broken chiral symmetry are investigated. They are relevant for the dynamics close to onset of rotating non-Boussinesq or surface-tension-driven convection. Steady and oscillatory, long- and short-wave instabilities of the hexagons are found. For the long-wave behavior coupled phase equations are derived. Numerical simulations of the Ginzburg-Landau equations indicate bistability between spatio-temporally chaotic patterns and stable steady hexagons. The chaotic state can, however, not be described properly with the Ginzburg-Landau equations.

Original languageEnglish (US)
Pages (from-to)97-108
Number of pages12
JournalPhysica D: Nonlinear Phenomena
Volume139
Issue number1-2
DOIs
StatePublished - May 1 2000

Keywords

  • Ginzburg-Landau equation
  • Hexagon patterns
  • Phase equation
  • Rotating convection
  • Sideband instabilities
  • Spatio-temporal chaos

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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