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Plasmadynamics near a self-similar turbulent state

Published online by Cambridge University Press:  13 March 2009

R. Balescu
Affiliation:
Faculté des SciencesC.P. 231Association Euratom-Etat Belge, Campus Plaine, Université Libre de Bruxelles, 1050 Bruxelles

Abstract

The transport properties of a turbulent plasma are investigated in the vicinity of a self-similar turbulent state (SSTS). This state plays the same role of reference as the local equilibrium for a collisional plasma. The stability of the SSTS against velocity gradients is proved. Under certain well-defined conditions a plasma- dynamical regime is established, in which the initial conditions are forgotten and the macroscopic plasmadynamical quantities obey closed differential equations. The anomalous viscosity arising in this regime is investigated in detail. This quantity is time-dependent (a feature impressed by the self-similar character of the reference state). A number of additional typically turbulent terms appear in the equation of motion: they arise from interference between flow and collisions or magnetic field.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1981

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References

REFERENCES

Balescu, R. 1980 J. Plasma Phys. 24, 551.CrossRefGoogle Scholar
Balescu, R. & Paiva-Veretennicoff, I. 1976 J. Plasma Phys. 16, 128.Google Scholar
Balescu, R. & Paiva-Veretennicoff, I. 1978 J. Plasma Phys. 20, 231.CrossRefGoogle Scholar
Braginskii, S. I. 1965 Reviews of Plasma Physics, vol. 1 (ed. Leontovich, M. A.). Consultants Bureau.Google Scholar
Chapman, S. & Cowling, T. G. 1961 The Mathematical Theory of Non-Uniform Gases, 2nd ed.Cambridge University Press.Google Scholar
Davidson, R. C. 1972 Methods in Nonlinear Plasma Theory. Academic.Google Scholar
Galeev, A. A. & Sagdeev, R. Z. 1979 Reviews of Plasma Physics, vol. 7 (ed. Leontovich, M. A.). Consultants Bureau.Google Scholar
Résibois, P. 1970 J. Stat. Phys. 2, 21.CrossRefGoogle Scholar
Rozmus, W. 1979 J. Plasma Phys. 22, 41.CrossRefGoogle Scholar
Theodosopulu, M. & Grecos, A. 1979 Physica, 95 A, 35.CrossRefGoogle Scholar
Vasu, G. 1976 J. Plasma Phys. 16, 289, 299.Google Scholar
Vedenov, A. A. & Ryutov, D. D. 1975 Reviews of Plasma Physics, vol. 6 (ed. Leontovich, M. A.). Consultants Bureau.Google Scholar
Vekshtein, G. E., Ryutov, D. D. & Sagdeev, R. Z. 1970 JETP Lett. 12, 291.Google Scholar