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Propagation of Alfvén waves in ion-sound turbulent plasma

Published online by Cambridge University Press:  13 March 2009

André Rogister
André Rogister
Affiliation:
European Space Research Institute, Frascati, Italy
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Abstract

The propagation of low-frequency, large-scale (compared to the ion Larmor frequency Ωi and radius Ri), oblique Alfvén waves in a turbulent plasma is investigated in the framework of kinetic theory. The turbulent field is the statistical average of one-dimensional ion-sound waves of very high frequency and short wavelength (ω ≫ ΩiRe≫ λ). In the absence of resonant particle effects, and to first order in a finite Larmor radius expansion, it is shown that the turbulence can lead either to spatial diffusion (damping) or anti-diffusion (growth), with Bohm scaling, of the low frequency wave. Finite Larmor radius and frequency effects in the propagation of oblique Alfvén waves are simultaneously obtained for arbitrary β plasma; the results can easily be generalized, merely by deforming certain integration contours, to obtain the corresponding Landau decrement.

Type
Research Article
Information
Journal of Plasma Physics , Volume 6 , Issue 2 , October 1971 , pp. 309 - 323
Copyright
Copyright © Cambridge University Press 1971

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References

REFERENCES

Bogoliubov, N. N. & Krylov, N. 1947 Introduction to Non-linear Mechanics. Princeton University Press.Google Scholar
Drummond, W. E. 1964 Phys. Fluids 7, 816.CrossRefGoogle Scholar
Fejer, J. A. & Kan, J. R. 1969 J. Plasma Phys. 3, 331.CrossRefGoogle Scholar
Frieman, E. & Rutherford, P. 1964 Ann. Phys. 28, 134.Google Scholar
Frieman, E., Davidson, R. & Langdon, B. 1966 Phys. Fluids 9, 1475.CrossRefGoogle Scholar
Krivorutsky, E. N., Makhankov, V. G. & Tsytovich, V. N. 1969 Nucl. Fusion 9, 97.CrossRefGoogle Scholar
Landau, L. 1946 J. Phys. 10, 25.Google Scholar
Oraeskii, V. N. & Sagdeev, R. Z. 1963 Sov. Phys. Tech. Phys. 7, 955.Google Scholar
Rogister, A. 1970 ESRIN Internal Note 69. (Also Phys. Fluids. To be published.)Google Scholar
Rogister, A. & Dobrowolny, M. 1970 Phys. Rev. Lett. 25, 1082.CrossRefGoogle Scholar
Rogister, A. & Oberman, C. 1969 J. Plasma Phys. 3, 119.Google Scholar
Rosenbluth, M. N. 1956 Los Alamos Laboratory Rep. 2030.Google Scholar
StÉfant, R. J. 1970 Phys. Fluids 13, 440.CrossRefGoogle Scholar
Stix, T. H. 1962 The Theory of Plasma Waves. McGraw-Hill.Google Scholar