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A macroscopic interpretation of Landau damping

Published online by Cambridge University Press:  13 March 2009

V. V. Subramaniam  and
W. F. Hughes
V. V. Subramaniam
Affiliation:
Dept. of Mechanical Engineering, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213
W. F. Hughes
Affiliation:
Dept. of Mechanical Engineering, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213
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Abstract

A macroscopic interpretation for the problem of Landau damping of longitudinal oscillations in a collisionless plasma is investigated by including macroscopic fluid conservation of mass, momentum, and energy. It is shown that Landau damping may be derived macroscopically by appropriate consideration of the heat flux term for a collisionless plasma. This heat flux is expressed in terms of the perturbed velocity distribution function. A possible form of an equivalent complex thermal conductivity is postulated for a collisionless plasma. Both temporal and spacial damping are discussed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 36 , Issue 1 , August 1986 , pp. 127 - 133
Copyright
Copyright © Cambridge University Press 1986

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References

REFERENCES

Bohm, D. & Gross, E. P. 1949 Phys. Rev. 75, 1851, 1864.CrossRefGoogle Scholar
Dawson, J. 1961 Phys. Fluids, 4, 869.CrossRefGoogle Scholar
Dum, C. 1975 Phys. Rev. Lett. 35, 947.CrossRefGoogle Scholar
Hazeltine, R. D. 1976 Advances in Plasma Physics (ed. A. Simon and W. B. Thompson), vol. 6, p. 271.Google Scholar
Hinton, F. L. & Rosenbluth, M. N. 1973 Phys. Fluids, 16, 836.CrossRefGoogle Scholar
Jackson, J. D. 1960 J. Nucl. Energy, 1, 171.CrossRefGoogle Scholar
Landau, L. D. 1946 J. Phys. U.S.S.R. 10, 25.Google Scholar
Rosenbluth, M. N., Hazeltine, R. D. & Hinton, F. L. 1972 Phys. Fluids, 15, 116.CrossRefGoogle Scholar
Twiss, R. W. 1952 Phys. Rev. 88, 1392.CrossRefGoogle Scholar
Van Kampen, N. G. 1955 Physica, 21, 949.CrossRefGoogle Scholar