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Self-similar state of a weakly turbulent plasma

Published online by Cambridge University Press:  13 March 2009

R. Balescu
Affiliation:
Facuité des Sciences, C.P. 231, Association Euratom-Etat Beige, Campus Piaine, Université Libre de Bruxelies, 1050 Bruxelies

Abstract

The models of Vekshtein, Ryutov & Sagdeev (VRS), describing a marginally stable turbulent plasma sustaining an electric current, are shown to be incomplete by their neglect of the equations determining the spectral densities of the driving modes. An exhaustive study of these models including a detailed determination of the frequencies, spectral densities and turbulent energy densities, shows that, strictly speaking, there exists no self-similar turbulent state (SSTS). However, an approximate SSTS can be constructed, based on the finding that the tail of the spectral densities behaves self-similarly.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1980

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References

REFERENCES

Balescu, R. & Paiva-Veretennicoff, I. 1978 J. Plasma Phys. 20, 231.CrossRefGoogle Scholar
Biskamp, D. & Chodura, R. 1973 Phys. Fluids, 16, 888.CrossRefGoogle Scholar
Biskamp, D., Chodura, R. & Dum, C. T. 1975 Phys. Rev. Lett. 34, 131.CrossRefGoogle Scholar
Bluman, G. W. & Cole, J. D. 1974 Similarty Methods for Differential Equations. Springer.CrossRefGoogle Scholar
Davidson, R. 1972 Methods in Nonlinear Plasma Phyeice. Academic.Google Scholar
Dum, C. T. 1978 Phys. Fluids, 21, 945, 956.CrossRefGoogle Scholar
Galeev, A. A. & Saqdeev, R. Z. 1979 Reviews of Plasma Physics, vol. 7 (ed. Leontovich, M. A.). Consultants Bureau.Google Scholar
Kadomtsev, B. B. 1985 P1asma Turbulence. Academic.Google Scholar
Manheimer, W. & Boris, J. P. 1977 Comm. Plasma Phys. Contr. Fusion, 3, 15.Google Scholar
Tsytovich, V. N. 1977 Theory of Turbulent Plaslna. Consultants Bureau.CrossRefGoogle Scholar
Vedenov, A. A. & Ryutov, D. D. 1975 Reviews of Plasma Phyeice, vol. 6 (ed. Leontovich, M. A.). Consultants Bureau.Google Scholar
Veksrtern, C. E., Ryutov, D. P. & Saodeev, R. Z. 1970 JETP Lett. 12, 291.Google Scholar
Zel'dovich, Ya. B. & Raizer, Yu. P. 1967 Physics of Shock Waves and High1emperaure Hydrodynamic Phenomena, vol. II, ch. 12. Academic.Google Scholar