Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-17T21:26:21.150Z Has data issue: false hasContentIssue false
  • English
  • Français

Entropy and the Spontaneous Emission of Plasma Waves

Published online by Cambridge University Press:  25 April 2016

R. J. M. Grognard
R. J. M. Grognard*
Affiliation:
Division of Radiophysics, CSIRO, Sydney
Get access Rights & Permissions [Opens in a new window]

Extract

The emission of plasma waves by beams of electrons travelling in a plasma is a phenomenon of critical importance in applied plasma physics (for instance in problems directly related to the achievement of controlled nuclear fusion) and also astrophysical research (e.g. in the theory of solar radio bursts). In principle, the mechanisms involved are all contained in the Boltzmann-Vlasov equation, where the field is the self-consistent electromagnetic field produced by the interaction between beam and plasma. Unfortunately this celebrated equation cannot be solved directly, because both the analytical and numerical methods that can deal with this equation are plagued by secular terms which restrict the time domain of validity of the solutions to a few thousand plasma periods. In all applications of interest this domain is far too small; indeed in all astrophysical cases it is quite negligible compared with the duration of the observed phenomena (it is even much shorter than the time resolution of present-day equipment, such as dynamic spectrographs).

Type
Contributions
Information
Publications of the Astronomical Society of Australia , Volume 3 , Issue 2 , September 1977 , pp. 174 - 177
Copyright
Copyright © Astronomical Society of Australia 1977

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

Akhiezer, A. I., Akhiezer, I. A., Polovin, R. V., Sitenko, A. G., and Stepanov, K. N., Plasma Electrodynamics, Vol. 2, Nonlinear Theory and Fluctuations (Pergamon Press, Oxford) (1975).Google Scholar
Appert, K., Tran, T. M., and Vaclavik, J., Phys. Rev. Lett., 37, 502 (1976).Google Scholar
Davidson, R. C., Methods in Nonlinear Plasma Theory, (Academic Press, New York) (1972).Google Scholar
Dolph, C. L., in Nonlinear Problems (Ed. Langer, R. E.) (University of Wisconsin Press, Madison) (1963).Google Scholar
Drummond, W. E., and Pines, D., Nucl. Fusion Suppl. Part 3, 1049 (1962).Google Scholar
Fukai, J., and Harris, E. G., J. Plasma Phys., 7, 313 (1972).Google Scholar
Gelfand, I. M., and Shilov, G. E., Generalized Functions, Vol. 1, (Academic Press, New York) (1964).Google Scholar
Gelfand, I. M., Graev, M. I., and Vilenkin, N.Ya. Generalized Functions, Vol. 5, (Academic Press, New York) (1966).Google Scholar
Grognard, R. J.-M., Aust. J. Phys., 28, 731 (1975).Google Scholar
Harris, E. G., Adv. Plasma Phys., 3, 157 (1969).Google Scholar
Kaufman, A. N., J. Plasma Phys., 8, 1 (1972).CrossRefGoogle Scholar
Magelssen, G. R., Nonrelativistic Electron Stream Propagation in the Solar Atmosphere and Solar Wind: Type III Bursts, NCAR Cooperative Thesis No. 37: University of Colorado (1976).Google Scholar
Melrose, D. B., Solar Phys., 38, 205 (1974).Google Scholar
Minorsky, N., Nonlinear Oscillations (Van Nostrand, Princeton) (1962).Google Scholar
Pines, D., and Schrieffer, J. R., Phys. Rev., 125, 804 (1962).Google Scholar
Rogister, A. L., and Oberman, C., J. Plasma Phys., 2, 33 (1968).Google Scholar
Smith, D., Astrophys. J., 212, 891 (1977).Google Scholar
Tsytovich, V. N., Nonlinear Effects in Plasma (Plenum Press, New York) (1970).Google Scholar
Vedenov, A. A., Velikhov, E. P., and Sagdeev, R. Z., Nucl. Fusion Suppl., Part 2, 465 (in Russian) (1962).Google Scholar

A correction has been issued for this article:

Errata