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Interaction processes in a weakly turbulent Vlasov plasma

Published online by Cambridge University Press:  13 March 2009

Dirk J. Olbers
Affiliation:
Institut für Geophysik, Universität Hamburg

Abstract

In this paper we consider the interaction between waves and particles in a weakly turbulent, collision-free plasma for the case of pure Coulomb interaction and zero magnetic field. Starting with the Vlasov equation we suggest a solution by means of a perturbation expansion and a diagram technique, which classifies the various interaction processes and leads to the derivation of kinetic equations.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1972

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References

REFERENCES

Al'tshul', L. M. & Karpman, V. I. 1965 Soviet Phys. JETP, 20, 1043.Google Scholar
Backus, G. 1960 J. Math. Phys. 1, 178.CrossRefGoogle Scholar
Bernstein, I. B. & Engelmann, F. 1966 Phys. Fluids, 9, 937.CrossRefGoogle Scholar
Bogoliubov, N. N. & Mitropolski, J. A. 1965 Asymptotische Methoden in der Theorie der nichtlinearen Schwingungen. Berlin: Akademie.Google Scholar
Davidson, R. C. 1967 J. Plasma Phys. 1, 341.CrossRefGoogle Scholar
Davidson, R. C. 1968 Phys. Rev. 176, 344.CrossRefGoogle Scholar
Drummond, W. E. & Pines, D. 1962 Nucl. Fusion (Suppl.) 3, 1069.Google Scholar
Elsässer, K. 1969 MPI-PAE/Astro. 24.Google Scholar
Elsässer, K. 1971 J. Plasma Phys. 5, 39.CrossRefGoogle Scholar
Galeev, A. A. & Karpman, V. I. 1963 Soviet Phys. JETP, 17, 403.Google Scholar
Harris, E. G. 1970 Classical plasma phenomena from a quantum mechanical viewpoint. Advances in Plasma Physics, vol. 3. (ed. Simon, A. and Thompson, W. B.). Interscience.Google Scholar
Hasselmann, K. 1963 J. Fluid Mech. 15, 273.CrossRefGoogle Scholar
Hasselmann, K. 1966 Rev. Geophys. 4, 1.CrossRefGoogle Scholar
Hasselmann, K. 1967 Proc. Roy. Soc. A 299, 77.Google Scholar
Kadomtsev, B. B. 1965 Plasma Turbulence. Academic.Google Scholar
Litvak, M. M. 1960 AVCO-Everett Res. Lab. Rep. 92.Google Scholar
Newell, A. C. 1968 Rev. Geophys. 6, 1.CrossRefGoogle Scholar
Prigogine, I, 1962 Non-equilibrian Statistical Mechanics. Interscience.Google Scholar
Rogister, A. & Oberman, C. 1969 J. Plasma Phys. 3, 119.CrossRefGoogle Scholar
Sandri, G. 1963 Ann. Phys. 24, 332.CrossRefGoogle Scholar
Vedenov, A. A. 1968 Theory of Turbulent Plasma. London: Iliffe.Google Scholar