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nlin.PSJan 21, 2007
32
citations (OpenAlex)
authors
  • Kapilanjan Krishan
  • Huseyin Kurtuldu
  • Michael F. Schatz
  • Marcio Gameiro
  • Konstantin Mischaikow
institutions
  • Georgia Institute of Technology
  • Max Planck Institute for the Physics of Complex Systems
  • Northwestern University
  • University of California, Irvine
arXiv abstractPDF
paper

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

arXiv:nlin/0701043 · doi:10.1063/1.2800365

Abstract

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.

arXiv comment21 pages with 6 figures

References in corpus (3)

  • Spiral Defect Chaos in Large Aspect Ratio Rayleigh-Benard Convection
  • Reentrant Hexagons in non-Boussinesq Convection
  • Geometric Diagnostics of Complex Patterns: Spiral Defect Chaos

Cited by in corpus (7)

  • Analysis of Kolmogorov Flow and Rayleigh-Bénard Convection using Persistent Homology
  • Topological portraits of multiscale coordination dynamics
  • Topological data analysis and machine learning
  • Topology-guided sampling of nonhomogeneous random processes
  • Topological descriptors of spatial coherence in a convective boundary layer
  • Towards the prediction of critical transitions in spatially extended populations with cubical homology
  • Stratification-induced scale splitting in convection
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