Power-law behavior of power spectra in low Prandtl number Rayleigh-Bénard convection.


Journal Article

The origin of the power-law decay measured in the power spectra of low Prandtl number Rayleigh-Bénard convection near the onset of chaos is addressed using long time numerical simulations of the three-dimensional Boussinesq equations in cylindrical domains. The power law is found to arise from quasidiscontinuous changes in the slope of the time series of the heat transport associated with the nucleation of dislocation pairs and roll pinch-off events. For larger frequencies, the power spectra decay exponentially as expected for time continuous deterministic dynamics.

Full Text

Duke Authors

Cited Authors

  • Paul, MR; Cross, MC; Fischer, PF; Greenside, HS

Published Date

  • October 1, 2001

Published In

Volume / Issue

  • 87 / 15

Start / End Page

  • 154501 -

PubMed ID

  • 11580703

Pubmed Central ID

  • 11580703

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/physrevlett.87.154501


  • eng