Reentrant and whirling hexagons in non-Boussinesq convection

Madruga Sánchez, Santiago and Riecke, Hermann (2007). Reentrant and whirling hexagons in non-Boussinesq convection. "The European Physical Journal Special Topics", v. 146 (n. 1); pp. 279-290. ISSN 1951-6355. https://doi.org/10.1140/epjst/e2007-00186-7.

Description

Title: Reentrant and whirling hexagons in non-Boussinesq convection
Author/s:
  • Madruga Sánchez, Santiago
  • Riecke, Hermann
Item Type: Article
Título de Revista/Publicación: The European Physical Journal Special Topics
Date: 1 July 2007
ISSN: 1951-6355
Volume: 146
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We review recent computational results for hexagon patterns in non- Boussinesq convection. For sufficiently strong dependence of the fluid parameters on the temperature we find reentrance of steady hexagons, i.e. while near onset the hexagon patterns become unstable to rolls as usually, they become again stable in the strongly nonlinear regime. If the convection apparatus is rotated about a vertical axis the transition from hexagons to rolls is replaced by a Hopf bifurcation to whirling hexagons. For weak non-Boussinesq effects they display defect chaos of the type described by the two-dimensional (2D) complex Ginzburg-andau equation. For stronger non-Boussinesq effects the Hopf bifurcation becomes subcritical and localized bursting of the whirling amplitude is found. In this regime the cou- pling of the whirling amplitude to (small) deformations of the hexagon lattice becomes important. For yet stronger non-Boussinesq effects this coupling breaks up the hexagon lattice and strongly disordered states characterized by whirling and lattice defects are obtained.

More information

Item ID: 21700
DC Identifier: http://oa.upm.es/21700/
OAI Identifier: oai:oa.upm.es:21700
DOI: 10.1140/epjst/e2007-00186-7
Official URL: http://link.springer.com/article/10.1140%2Fepjst%2Fe2007-00186-7
Deposited by: Memoria Investigacion
Deposited on: 31 Mar 2014 18:28
Last Modified: 21 Apr 2016 12:25
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