Rotating convection in an anisotropic system

Alex Roxin and Hermann Riecke
Phys. Rev. E 65, 046219 – Published 5 April 2002; Erratum Phys. Rev. E 69, 019901 (2004)
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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.

  • Received 17 October 2001

DOI:https://doi.org/10.1103/PhysRevE.65.046219

©2002 American Physical Society

Erratum

Erratum: Rotating convection in an anisotropic system [Phys. Rev. E 65, 046219 (2002)]

Alex Roxin and Hermann Riecke
Phys. Rev. E 69, 019901 (2004)

Authors & Affiliations

Alex Roxin and Hermann Riecke

  • Engineering Science and Applied Mathematics, Northwestern University, Evanston, Illinois 60208

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Issue

Vol. 65, Iss. 4 — April 2002

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