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| Titel |
Renormalization group method for Farley-Buneman fluctuations: basic results |
| VerfasserIn |
A. M. Hamza |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 3, no. 1 ; Nr. 3, no. 1, S.41-46 |
| Datensatznummer |
250000702
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| Publikation (Nr.) |
 copernicus.org/npg-3-41-1996.pdf |
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| Zusammenfassung |
| Sudan and Keskinen in
[1979] derived a set of
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. This
problem is of fundamental importance in ionospheric
physics.
The nonlinear nature of the equations makes it very
hard to
write a closed form solution. In this paper we propose
to use
"Dynamical Renormalization Group" methods to study the
long--
wavelength, long-time behaviour of density
correlations
generated in this ionospheric plasma stirred by a
Gaussian random force characterized
by a correlation function (fk fk)
k. The effect of the small scales on the large scale
dynamics in the limit k -> 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,
then one can not only derive a subgrid model based
on the
results of RNG, and this has been done by Hamza
and Sudan
[1995], but one can also extract the skewness of the
spectra
as we do in this paper. |
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