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Characteristics and Riemann invariants for multi-ion plasmas in the presence of Alfvén waves

Published online by Cambridge University Press:  13 March 2009

R. Ratkiewicz ,
D. E. Innes  and
J. F. McKenzie
R. Ratkiewicz
Affiliation:
Max-Planck-Institut für Aeronomie, D-37191 Katlenburg–Lindau, Germany
D. E. Innes
Affiliation:
Max-Planck-Institut für Aeronomie, D-37191 Katlenburg–Lindau, Germany
J. F. McKenzie
Affiliation:
Max-Planck-Institut für Aeronomie, D-37191 Katlenburg–Lindau, Germany
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Abstract

In this paper the characteristics for a single- and a bi-ion plasma in the presence of Alfvén waves are given. In the single-ion case, the analysis is extended to the situation where Alfvén waves saturate and dissipatively heat the plasma. When there is no dissipation, there are three sound waves and one entropy wave in the single-ion plasma. Each sound wave is associated with two Riemann invariants relating the changes in density and wave pressure to changes in the flow. In the case when the Alfvén waves saturate and heat the plasma, there are two sound waves and one modified entropy sound wave. Each wave is associated with two Riemann invariants relating changes in density and entropy to changes in the flow. The analysis for the bi-ion plasma is simplified to very sub-Alfvénic flows. In this case the Alfvén waves behave like another plasma component, and both the electric and Alfvén wave forces have the same structure. The system possesses two entropy waves and four sound waves. Each sound wave is associated with two Riemann invariants relating changes in density and flow velocity along the characteristic curves.

Type
Research Article
Information
Journal of Plasma Physics , Volume 52 , Issue 2 , October 1994 , pp. 297 - 307
Copyright
Copyright © Cambridge University Press 1994

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References

REFERENCES

Belcher, J. W. 1971 Astrophys. J. 168, 509.CrossRefGoogle Scholar
Courant, R. & Friedrichs, K. O. 1948 Supersonic Flow and Shock Waves. Interscience.Google Scholar
Dewar, R. L. 1970 Phys. Fluids 13, 2710.CrossRefGoogle Scholar
Dougherty, M. K. & McKenzie, J. F. 1991 J. Geophys. Res. 96, 179.CrossRefGoogle Scholar
Hollweg, J. V. 1978 Rev. Geophys. Space Phys. 16, 689.CrossRefGoogle Scholar
Jeffrey, A. & Taniuti, T. 1964 Non-Linear Wave Propagation. Academic.Google Scholar
McKenzie, J. F. 1994 J. Geophys. Res. 99, 4193.CrossRefGoogle Scholar
McKenzie, J. F., Marsch, E., Baumgärtel, K. & Sauer, K. 1993 Annales Geophysicae 11, 341.Google Scholar