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Statistical mechanics of a weakly turbulent stable plasma

Published online by Cambridge University Press:  13 March 2009

E. Asseo ,
G. Berthomieu ,
J. Heyvaerts  and
A. Mangeney
E. Asseo
Affiliation:
Institut d'Astrophysique, Paris
G. Berthomieu
Affiliation:
Institut d'Astrophysique, Paris
J. Heyvaerts
Affiliation:
Institut d'Astrophysique, Paris
A. Mangeney
Affiliation:
Observatoire do Paris-Meudon, Meudon
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Abstract

The statistical mechanics of the weakly turbulent plasma is treated in an original manner by introducing the waves by means of the van Kampen modes. A system of coupled equations is derived which relates the correlations between waves and waves, waves and particles, particles and particles. The quasilinear theory is obtained at the first order, and the coupling wave equation at second order, under suitable assumptions.

Type
Research Article
Information
Journal of Plasma Physics , Volume 3 , Issue 3 , September 1969 , pp. 499 - 524
Copyright
Copyright © Cambridge University Press 1969

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References

REFERENCES

Baldwin, D. E. 1964 Phys. Fluids 7, 782.CrossRefGoogle Scholar
Balescu, R. 1963 Statistical Mechanics of Charged Particles. New York: J. Wiley; Interscience Publishers.Google Scholar
Balescu, R. 1968 Physica 38, 98.CrossRefGoogle Scholar
Bodner, S. E. & Frieman, E. A. 1903 In Propagation and Instabilities in Plasmas, ed. Futtermann, W. I.. Stanford University Press.Google Scholar
Bodner, N. N. 1962 In Studies in Statistical Mechanics, vol. x (ed. de Boer, J. and Uhlenbeck, O. E.). Amsterdam: North Holland Publishing Company.Google Scholar
Case, K. M. 1959 Ann. Phys. 7, 349.CrossRefGoogle Scholar
Davidson, R. C. 1966 Report no. MATT.496.Google Scholar
Drummond, W. E. & Pines, D. 1962 Nucl. Fusion (Suppl.) part 3, p. 1049.Google Scholar
Frieman, E. & Rutherford, P. 1964 Ann. Phys. 28, 134.CrossRefGoogle Scholar
Grecos, A. P. 1968 Physica 38, 312.CrossRefGoogle Scholar
Kadomtsev, B. B. 1965 Plasma Turbulence, New York: Academic Press.Google Scholar
Karpman, V. I. & Alt'schiji, L. M. 1966 J.E.T.P. 22, no. 2, 361.Google Scholar
Laval, O. 1967 Thesis, Paris.Google Scholar
Resibois, P. 1963 Phys. Fluids 6, 817.CrossRefGoogle Scholar
Rogister, A. & Oberman, C. 1968 J. Plasma Phys. 2, 33CrossRefGoogle Scholar