Power-Law Behavior of Power Spectra in Low Prandtl Number Rayleigh-Benard Convection

Details Power-Law Behavior of Power Spectra in Low Prandtl Number Rayleigh-Benard Convection Power-Law Behavior of Power Spectra in Low Prandtl Number Rayleigh-Benard Convection

2001-05-02

arxiv.org/abs/nlin/0105003v1

Nonlinear Sciences

Pattern Formation and Solitons

(10 pages, 6 figures)

Scientific paper

10.1103/PhysRevLett.87.154501

The origin of the power-law decay measured in the power spectra of low Prandtl number Rayleigh-Benard 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 quasi-discontinuous 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.

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