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Relativistic effects on strong Langmuir turbulence

Published online by Cambridge University Press:  13 March 2009

H. P. Freund ,
C. S. Liu  and
R. M. Kulsrud
H. P. Freund
Affiliation:
Science Applications, Inc., McLean, Virginia 22101
C. S. Liu
Affiliation:
Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742.
R. M. Kulsrud
Affiliation:
Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08540.
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Extract

The relativistic effects on strong Langmuir turbulence which arise from both relativistic plasma temperatures and high-amplitude oscillations (i.e. the oscillatory electron velocity in the wave approaches the speed of light) are considered. When relativistic effects arise primarily from high plasma temperature, a kinetic formalism is employed and a nonlinear Schrüdinger equation is derived from expansion of the Vlasov-Maxwell equations. The analysis is appropriate to either hydrogen or electron-positron plasmas, and the relativistic effect is found to provide a new type of nonlinear phase-amplitude coupling in three dimensions. A fluid treatment is used when the relativistic effects of high wave amplitudes predominate. Here, ion dynamics are ignored and the relativistic electron mass correction results in the same type of three-dimensional phase-amplitude coupling as in the kinetic analysis. A Lagrangian formalism for each limiting case is described which leads to a virial theorem from which thresholds for collapse of arbitrary wave packets can be derived.

Type
Articles
Information
Journal of Plasma Physics , Volume 25 , Issue 3 , June 1981 , pp. 465 - 477
Copyright
Copyright © Cambridge University Press 1981

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References

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