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Waves in magnetoplasma with a stochastic magnetic field

Published online by Cambridge University Press:  13 March 2009

Y. S. Prahalad
Affiliation:
Department of Mathematics, Indian Institute of Technology, Powai, Bombay 400 076 (India)
M. L. Mittal
Affiliation:
Department of Mathematics, Indian Institute of Technology, Powai, Bombay 400 076 (India)

Abstract

In the present analysis, a normal mode approach is used to study waves in a plasma subjected to a spatially uniform but temporally stochastic magnetic field. The first part deals with the evolution of circularly polarized transverse waves. Making a linear analysis, it is shown that the coherent waves are damped. The nature of the damping is determined by the Kubo number. In the second part, the nonlinear interaction of three coherent waves propagating along the magnetic field is analyzed. The coupling coefficients for the interaction of two circularly polarized waves and a longitudinal one are calculated. It is shown that for coherent waves, the system is equivalent to the interaction of two damped transverse modes with an undamped longitudinal one.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1980

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References

REFERNCES

Das, K. P. 1975 J. Plasma Phys. 13, 327.CrossRefGoogle Scholar
Frisch, U. 1968 Probabilistic Methods in Applied Mathematics (ed. Bharucha-Reid, A. T.), vol. 1, p. 75. Academic.Google Scholar
Howe, M. S. 1971 J. Fluid Mech. 45, 785.CrossRefGoogle Scholar
Howe, M. S. 1972 J. Sound & Vib. 24, 269.CrossRefGoogle Scholar
Khasminskii, R. Z. 1966 Theory of Probability and Its Applications, 11, 290.Google Scholar
Lashmore-Davies, C. N. & Ong, R. S. B. 1974 Phys. Rev. Lett. 32, 1172.CrossRefGoogle Scholar
Mittal, M. L. & Prahalad, Y. S. 1976 Phys. Lett. 58 A, 395.CrossRefGoogle Scholar
Mittal, M. L. & Prahalad, Y. S. 1977 J. Plasma Phys. 17, 147.CrossRefGoogle Scholar
Mittal, M. L., Prahalad, Y. S. & Nayak, D. G. 1976 Plasma Phys. 18, 801.CrossRefGoogle Scholar
Stenflo, L. 1970 J. Plasma Phys. 4, 585.CrossRefGoogle Scholar
Stenflo, L. 1974 J. Plasma Phys. 16, 677.CrossRefGoogle Scholar
Van, Kampen N. G. & Felderhof, B. O. 1967 Theoretical Methods in Plasma Physics. North Holland.Google Scholar