Power Law Behavior of Power Spectra in Low Prandtl Number Rayleigh-Benard convection
|Title||Power Law Behavior of Power Spectra in Low Prandtl Number Rayleigh-Benard convection|
|Year of Publication||2001|
|Authors||Paul, MR, Cross, MC, Fischer, PF, Greenside, HS|
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.