Induced defect nucleation and side-band instabilities in hexagons with rotation and mean flow

Yuan Nan Young*, Hermann Riecke

*Corresponding author for this work

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

The combined effect of mean flow and rotation on hexagonal patterns is investigated using Ginzburg-Landau equations that include nonlinear gradient terms as well as the nonlocal coupling provided by the mean flow. Long- and short-wave side-band instabilities are determined. Due to the nonlinear gradient terms and enhanced by the mean flow, the penta-hepta defects can become unstable to the induced nucleation of dislocations in the defect-free amplitude, which can lead to the proliferation of penta-hepta defects and persistent spatio-temporal chaos. For individual penta-hepta defects the nonlinear gradient terms enhance climbing or gliding motion, depending on whether they break the chiral symmetry or not.

Original languageEnglish (US)
Pages (from-to)107-124
Number of pages18
JournalPhysica D: Nonlinear Phenomena
Volume176
Issue number1-2
DOIs
StatePublished - Feb 15 2003

Keywords

  • Dislocations
  • Ginzburg-Landau equation
  • Hexagon pattern
  • Mean flow
  • Nucleation
  • Penta-hepta defect
  • Rotating convection
  • Spatial-temporal chaos
  • Stability

ASJC Scopus subject areas

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

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