Hostname: page-component-84b7d79bbc-fnpn6 Total loading time: 0 Render date: 2024-07-26T09:52:19.727Z Has data issue: false hasContentIssue false

Velocity-space diffusion due to resonant wave–wave scattering of electromagnetic and electrostatic waves in a plasma

Published online by Cambridge University Press:  13 March 2009

Reiji Sugaya
Affiliation:
Department of Physics, Faculty of Science, Ehime University, Matsuyama 790, Japan

Abstract

The velocity-space diffusion equation describing distortion of the velocity distribution function due to resonant wave-wave scattering of electromagnetic and electrostatic waves in an unmagnetized plasma is derived from the Vlasov-Maxwell equations by perturbation theory. The conservation laws for total energy and momentum densities of waves and particles are verified, and the time evolutions of the energy and momentum densities of particles are given in terms of the nonlinear wave-wave coupling coefficient in the kinetic wave equation.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1991

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Davidson, R. C. 1972 Methods in Nonlinear Plasma Theory, chap. 14. Academic.Google Scholar
Drake, J. F., Raw, P. K., Lee, Y. C., Schmidt, G., Liu, C. S. & Rosenbluth, M. N. 1974 Phys. Fluids, 17, 778.CrossRefGoogle Scholar
Kadomtsev, B. B. 1965 Plasma Turbulence, chaps. I and II. Academic.Google Scholar
Kennel, C. F. & Engelmann, F. 1966 Phys. Fluids, 9, 2377.CrossRefGoogle Scholar
Nambu, M. 1983 Laser and Particle Beams, 1, 427.CrossRefGoogle Scholar
Porkolab, M. & Cohen, B. I. 1988 Nucl. Fusion, 28, 239.CrossRefGoogle Scholar
Sugaya, R. 1989 J. Phys. Soc. Jpn, 58, 2794.CrossRefGoogle Scholar
Sugaya, R. 1990 J. Phys. Soc. Jpn, 59, 934 and 3610.CrossRefGoogle Scholar