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Acceleration and heating in quasi-linear diffusion

Published online by Cambridge University Press:  13 March 2009

K. Rypdal
K. Rypdal
Affiliation:
The University of Tromsø, Institute of Mathematical and Physical Sciences, P.O. Box 953, N-9001 Tromsø, Norway
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Abstract

Quasi-linear diffusion of charged particles due to a stationary and homogeneous spectrum of electrostatic field fluctuations is investigated via a Fokker-Planck approach. The energy of a given distribution of test particles is found to be conserved whenever the wave spectrum is isotropic and none of the spectral components of the field has a phase speed that equals the speed of any test particle. Quite generally, the energy is monotonically increasing for isotropic spectra. An interesting quantum mechanical interpretation of these results is given, and the special case of beam evolution in an isotropic spectrum of non-dispersive waves is studied in some detail. Conditions for isotropization of directed electron and ion beams from Coulomb collisions and collective oscillations are discussed in the context of the quasi-linear description. Some promising results from a beam-plasma experiment are quoted.

Type
Research Article
Information
Journal of Plasma Physics , Volume 35 , Issue 3 , June 1986 , pp. 413 - 429
Copyright
Copyright © Cambridge University Press 1986

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References

REFERENCES

Harris, E. G. 1969 Advances in Plasma Physics (ed. Simon, A. & Thompson, W. B.), vol. 3. Interscience.Google Scholar
Harris, E. G. 1972 A Pedestrian Approach to Quantum Field Theory. Wiley-Interscience.Google Scholar
Ichimaru, S. 1973 Basic Principles of Plasma Physics. Benjamin.Google Scholar
Johnsen, H., Fujita, H. & Armstrong, R. 1986 Phys. Lett. 114A, 376.CrossRefGoogle Scholar
Laval, G. & Pellat, R. 1975 Non-Linear Effects in Plasma Physics (ed. Dewitt, C. & Peyrand, J.). Gordon and Breach.Google Scholar
Pines, D. & Schrieffer, J. R. 1962 Phys. Rev. 125, 804.CrossRefGoogle Scholar
Rostoker, N. 1964 Phys. Fluids 7, 479.CrossRefGoogle Scholar
Stenzel, R. L., Williams, R., Kitazaki, K., Ling, A., McDonald, T. & Spitzer, J. 1982 Rev. Sci. Instrum. 53, 1027.CrossRefGoogle Scholar
Stenzel, R. L., Gekelman, W., Wild, N., Urrutia, J. M. & Whelan, D. 1983 Rev. Sci. Instrum. 54, 1302.CrossRefGoogle Scholar
Thompson, W. B. & Hubbard, J. 1960 Rev. Mod. Phys. 32, 714.CrossRefGoogle Scholar