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Theory of nonlinear interaction of particles and waves in an inverse plasma maser. Part 2. Stationary solution and evolution of initial distributions

Published online by Cambridge University Press:  13 March 2009

Victor S. Krivitsky  and
Sergey V. Vladimirov
Victor S. Krivitsky
Affiliation:
Theoretical Department, General Physics Institute, Academy of Sciences of the U.S.S.R., Vavilov Street 38, Box 117333, Moscow, U.S.S.R.
Sergey V. Vladimirov
Affiliation:
Theoretical Department, General Physics Institute, Academy of Sciences of the U.S.S.R., Vavilov Street 38, Box 117333, Moscow, U.S.S.R.
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Abstract

The evolution of the distribution function due to the simultaneous nonlinear interaction of plasma particles with resonant and non-resonant waves is studied. A stationary particle distribution resulting from a balance of the quasi-linear interaction and the nonlinear one is found. The temporal evolution of an initial δ-function-shaped distribution (like a ‘beam’) is examined in the one-dimensional case. General formulae are obtained for stochastic particle acceleration (taking account of the nonlinear interaction studied here).

Type
Research Article
Information
Journal of Plasma Physics , Volume 46 , Issue 2 , October 1991 , pp. 219 - 229
Copyright
Copyright © Cambridge University Press 1991

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References

Krivtsky, V.S. & Vladimirov, S. V. 1989 Proceedings of the 19th International Conference on Phenomena in Ionized Gases, Belgrade.Google Scholar
Krivitsky, V.S. & Vladimirov, S. V. 1991 J. Plasma Phys. 46, 209.CrossRefGoogle Scholar
Tsytovich, V.N. 1977 Theory of Turbulent Plasma. Consultants Bureau.CrossRefGoogle Scholar
Whitham, G.B. 1974 Linear and Nonlinear Waves. Wiley.Google Scholar