Homology and symmetry breaking in Rayleigh-Benard convection: Experiments and simulations

Algebraic topology (homology) is used to analyze the weakly turbulent state of spiral defect chaos in both laboratory experiments and numerical simulations of Rayleigh-Benard convection.The analysis reveals topological asymmetries that arise when non-Boussinesq effects are present.

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Bibliographic Details
Published in:arXiv.org 2007-01
Main Authors: Kapilanjan Krishan, Kurtuldu, Huseyin, Schatz, Michael F, Gameiro, Marcio, Mischaikow, Konstantin
Format: Article
Language:English
Subjects:
Boussinesq equations
Broken symmetry
Homology
Rayleigh-Benard convection
Topology
Online Access:Get full text
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Description
Summary:Algebraic topology (homology) is used to analyze the weakly turbulent state of spiral defect chaos in both laboratory experiments and numerical simulations of Rayleigh-Benard convection.The analysis reveals topological asymmetries that arise when non-Boussinesq effects are present.
ISSN:2331-8422
DOI:10.48550/arxiv.0701043