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The mean electromotive force generated by random Alfvén waves in a coffisionless plasma

Published online by Cambridge University Press:  13 March 2009

Tomikazu Namikawa
Affiliation:
Department of Physics, Faculty of Science, Osaka City University, Osaka, Japan
Hiromitsu Hamabata
Affiliation:
Department of Physics, Faculty of Science, Osaka City University, Osaka, Japan

Abstract

The mean electromotive force and ponderomotive force generated by nonlinear random Alfvén waves propagating along the mean magnetic field and linear random Alfvén waves propagating in arbitrary directions in a collisionless plasma are calculated by use of Fourier analysis methods. It is shown that the a-effect can exist in the interaction between two different waves and that the magnetic turbulent diffusivity can be negative depending on the energy spectrum functions of the initial values of the magnetic and velocity perturbations. The results are applied to the substorms in the Earth's magnetosphere.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1982

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References

REFERENCES

Fältrammar, C.-G. 1977 Rev. Geophys. Space Phys. 15, 457.CrossRefGoogle Scholar
Frank, L. A, Ackerson, K. J. & Lepping, R. P. 1976 J. Geophys. Res. 81, 5859.CrossRefGoogle Scholar
Kan, J. R. & Heacock, R. R. 1976 J. Geophys. Res. 81, 2371.CrossRefGoogle Scholar
Kraichnan, R. H. 1976 J. Fluid Mech. 75, 657.CrossRefGoogle Scholar
Krause, F. & Rädler, K. H. 1981 Mean field magnetohydrodynainics and dynamo theory. Pergamon.Google Scholar
Mcpherron, R. L. 1979 Rev. Geophys. Space Phys. 17, 657.CrossRefGoogle Scholar
Moffatt, H. K. 1978 Magnetic Field Generation in Electrically Conducting Fluids. Cambridge University Press.Google Scholar
Parker, E. N. 1979 Cosmical Magnetic Fields. Clarendon.Google Scholar
Roberts, P. H. & Stix, M. 1971 The Turbulent Dynamo: a Translation of a Series of Papers by F. Krause, K. -H. Rädler & M. Steenbeck. NCAR, Boulder, Colorado Tech. Note, 1A-60.Google Scholar
Saito, T. 1978 Space Sci. Rev. 21, 427.CrossRefGoogle Scholar
Steenbeck, M., Krause, F. & Rädler, K. H. 1966 Z. Naturf. 21a, 369.CrossRefGoogle Scholar
Wälder, M., Deinzer, W. & Stix, M. 1980 J. Fluid Mech. 96, 207.CrossRefGoogle Scholar
Wanger, J. S.. Tajima, T., Kan, J. R., Leboeue, J. N., Akasofu, S.-I. & Dawson, J. M. 1980 Phys. Rev. Lett. 45, 803.Google Scholar