Physics
Scientific paper
Mar 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995jgr...100.3669h&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 100, no. A3, p. 3669-3680
Physics
7
Convection, Density Distribution, E Region, F Region, Mathematical Models, Plasma Turbulence, Correlation, Electron Diffusion, Power Spectra, Renormalization Group Methods, Set Theory
Scientific paper
The equations governing the nonlinear evolution of density fluctuations in a low-pressure weakly ionized plasma driven unstable by the E x B or gradient-drift instability were derived by Sudan and Keskinen (1977, 1979) for addressing the electrostatic turbulence in the E and F regions of the Earth's ionosphere. We have developed a subgrid model suitable for the numerical simulation of these equations which is closely related to renormalized diffusion caused by small-scale fluctuation spectrum. 'Dynamical Renormalization Group' (RNG) methods are employed to obtain the renormalized diffusion. This procedure computes the long-wavelength, long-time behavior of density correlations generated by the evolution equation for the plasma stirred by a Gaussian random force characterized by a correlation function proportional to km where k is the wavenumber of the forcing function. The effect of small scales on the large-scale dynamics in the limit k tends towards 0 and infinite Reynolds number can be expressed in the form of renormalized coefficients; in our case, renormalized diffusion. If one assumes the power spectra to be given by the Kolmogorov argument of cascading of energy through k space then one can derive a subgrid model based on the results of RNG.
Hamza A. M.
Sudan R. N.
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