Rotating convection in an anisotropic system

Alex Roxin*, Hermann Riecke

*Corresponding author for this work

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

We study the stability of patterns arising in rotating convection in weakly anisotropic systems using a modified Swift-Hohenberg equation. The anisotropy, either an endogenous characteristic of the system or induced by external forcing, can stabilize periodic rolls in the Küppers-Lortz chaotic regime. We apply this to the particular case of rotating convection with time-modulated rotation where recently, in experiment, spiral and target patterns have been observed in otherwise Küppers-Lortz-unstable regimes. We show how the underlying base flow breaks the isotropy, thereby affecting the linear growth rate of convection rolls in such a way as to stabilize spirals and targets. Throughout we compare analytical results to numerical simulations of the Swift-Hohenberg equation.

Original languageEnglish (US)
Article number046219
Pages (from-to)046219/1-046219/6
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume65
Issue number4
DOIs
StatePublished - Apr 1 2002

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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