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Turbulent magnetohydrodynamic density fluctuations

Published online by Cambridge University Press:  13 March 2009

John V. Shebalin  and
David Montgomery
John V. Shebalin
Affiliation:
Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755, U.S.A.
David Montgomery
Affiliation:
Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755, U.S.A.
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Abstract

A spectral-method numerical code is used to compute mass-density fluctuation spectra in turbulent magnetofluids. The computations are used to test and extend a recent analytical theory of density variations in slightly compressible magnetofluids given by Montgomery, Brown and Matthaeus, and used by them to infer inertial-range density-fluctuation spectra for the nearby interstellar medium and solar wind. A local equation of state is assumed, relating density to pressure. Constant, scalar resistivities and viscosities are used. In the limit of low Mach numbers and high mechanical-to-magnetic pressure ratios, the fit of the computations to the analytical theory is seen to be close.

Type
Research Article
Information
Journal of Plasma Physics , Volume 39 , Issue 2 , April 1988 , pp. 339 - 367
Copyright
Copyright © Cambridge University Press 1988

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References

REFERENCES

Armstrong, J. W., Cordes, J. M. & Rickett, B. J. 1981 Nature, 291, 561.CrossRefGoogle Scholar
Batchelor, G. K. 1953 Theory of Homogeneous Turbulence. Cambridge University Press.Google Scholar
Fyfe, D. & Montgomery, D. 1978 Phys. Fluids, 21, 316.CrossRefGoogle Scholar
Fyfe, D., Montgomery, D. & Joyce, G. 1977 J. Plasma Phys. 17, 369.CrossRefGoogle Scholar
Goldstein, B. & Siscoe, G. E. 1972 NASA Special Publication SP-308 (ed. C. P. Sonnett, P. J. Coleman & J. M. Wilcox), pp. 506–515.Google Scholar
Kraichnan, R. H. & Montgomery, D. 1980 Rep. Prog. Phys. 43, 547.CrossRefGoogle Scholar
Lighthill, M. J. 1952 Proc. R. Soc. Lond. A 211, 564.Google Scholar
Matthaeus, W. H. & Goldstein, M. L. 1982 a J. Geophys. Res. 87, 6011.CrossRefGoogle Scholar
Matthaeus, W. H. & Goldstein, M. L. 1982 b J. Geophys. Res. 87, 10347.CrossRefGoogle Scholar
Matthaeus, W. H., Goldstein, M. L. & Smith, C. W. 1982 Phys. Rev. Lett. 48, 1256.CrossRefGoogle Scholar
Matthaeus, W. H. & Montgomery, D. 1981 J. Plasma Phys. 25, 11.CrossRefGoogle Scholar
Montgomery, D., Brown, M. R. & Matthaeus, W. H. 1987 J. Geophys. Res. 92, 282.CrossRefGoogle Scholar
Obszag, S. A. 1971 Stud. Appl. Maths, 50, 293.CrossRefGoogle Scholar
Obszag, S. A. & Tang, C. M. 1979 J. Fluid Mech: 90, 129.CrossRefGoogle Scholar
Panchev, S. 1971 Random Functions and Turbulence, pp. 78–104. Pergamon.CrossRefGoogle Scholar
Patterson, G. S. & Orszag, S. A. 1971 Phys. Fluids, 14, 2538.CrossRefGoogle Scholar
Shebalin, J. V., Matthaeus, W. H. & Montgomery, D. 1983 J. Plasma Phys. 29, 525.CrossRefGoogle Scholar
Woo, R. W. & Armstrong, J. W. 1979 J. Geophys. Res. 84, 7288.CrossRefGoogle Scholar