Abstract
In Chapters 3 and 5 we have considered a number of instabilities, characterized by a solution in which small perturbations to an equilibrium are predicted to grow exponentially in time. Such growing perturbations will, of course, not remain small and eventually the nonlinear terms which are neglected in our previous analysis must become important. The object of this chapter is to examine various theories dealing with the nonlinear behaviour of the plasma.
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Reference
W.E. Drummond and D. Pines (1964) Ann. Phys. (N.Y.) 28, 478,
Quasilinear theory was developed by W.E. Drummond and I.B. Bernstein and F. Engelmann (1966) Phys. Fluids 9, 937.
for a magnetized plasma by R.C. Davidson (1972) Methods in Nonlinear Plasma Physics, Academic Press, London
Nonlinear wave interactions are discussed in J. Weiland and H. Wilhelmsson (1977) Coherent Non-linear Interaction of Waves in Plasmas, Pergamon, Oxford.
A number of articles on parametric instabilities appear in A. Simon and W.B. Thomson (eds.) (1976) Advances in Plasma Physics, vol. 6, John Wiley & Sons, Chichester.
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© 1985 Blackie & Son Ltd
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Cairns, R.A. (1985). Nonlinear effects. In: Plasma Physics. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9655-3_6
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DOI: https://doi.org/10.1007/978-94-010-9655-3_6
Publisher Name: Springer, Dordrecht
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