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Propagation of hydromagnetic waves in a relativistic plasma

Published online by Cambridge University Press:  13 March 2009

A. Granik
A. Granik
Affiliation:
Physics Department, Kentucky State University, Frankfort, Kentucky 40601
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Extract

The hydrodynamic approach to a relativistic gas is studied on the basis of methods used by Chew, Goldberger & Low and by Scargle. As the result of this study, the explicit form of the energy–momentum tensor is obtained by straight-forward application of Lorentz transformation. The term corresponding to non-zero momentum density in the plasma frame of reference is included in the energy–momentum tensor. For the limiting case of small bulk velocities compared with the speed of light in vacua, the energy flux as described by non- relativistic theory is immediately recovered. For the special case of scalar pressure, the energy–momentum tensor considered by Taub and by Harris follows directly from our expression. In a small-perturbation approximation, it is possible to close the system of MHD equations. As a result the solution describing all possible wave modes is derived. This solution coincides with the solution obtained by means of the kinetic theory.

Type
Articles
Information
Journal of Plasma Physics , Volume 27 , Issue 1 , February 1982 , pp. 121 - 127
Copyright
Copyright © Cambridge University Press 1982

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References

REFERENCES

Abraham-Shrauner, B. 1967 J. Plasma Phys., 1, 361.CrossRefGoogle Scholar
Barnes, A. 1979 a J. Geophys. Res., 84, 4459.CrossRefGoogle Scholar
Barnes, A. 1979 b Solar System Plasma Physics vol. 1, p. 299. North-Holland.Google Scholar
Barnes, A. & Scargle, J. 1973 Astrophys. J. 184, 251.CrossRefGoogle Scholar
Barnes, A. & Suffolk, G. 1971 J. Plasma Phys. 5, 361.CrossRefGoogle Scholar
Chew, G., Goldberger, M. & Low, F. 1965 Proc. Roy. Soc., A 236, 112.Google Scholar
Harris, E. 1957 Phys. Rev. 108, 1357.CrossRefGoogle Scholar
Landau, L. D. & Lifshitz, E. M. 1971 The Classical Theory of Fields p. 33. Addison-Wesley.Google Scholar
Montgomery, D. & Tidman, D. 1964 Plasma Kinetic Theory, p. 132. McGraw-Hill.Google Scholar
Scargle, J. 1968 Astrophys. J. 151, 791.CrossRefGoogle Scholar
Taub, A. 1948 Phys. Rev., 74, 328.CrossRefGoogle Scholar