Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-26T00:57:07.650Z Has data issue: false hasContentIssue false

Ohm's law for mean magnetic fields

Published online by Cambridge University Press:  13 March 2009

A. H. Boozer
Affiliation:
Plasma Physics Laboratory, Princeton University, P.O. Box 451, Princeton, New Jersey 08544

Abstract

The magnetic fields associated with plasmas frequently exhibit small-amplitude MHD fluctuations. It is useful to have equations for the magnetic field averaged over these fluctuations, the so-called mean field equations. Under very general assumptions, it is shown that the effect of MHD fluctuations on a force-free plasma can be represented by one parameter in Ohm's law, which is effectively the coefficient of electric current viscosity.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1986

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Berger, M. A. 1984 Geophys. Astrophys. Fluid Dyn. 30, 79.CrossRefGoogle Scholar
Bevir, M. K. & Gray, J. W. 1981 Proceedings of Reversed Field Pinch Theory Workshop, Los Alamos (ed. Lewis, H. R. and Gerwin, R. A.), Los Alamos, III A-3.Google Scholar
Jacobson, A. R. & Moses, R. W. 1984 Phys. Rev. A 29, 3335.CrossRefGoogle Scholar
Moffatt, H. K. 1978 Magnetic Field Generation in Electrically Conducting Fluids. Cambridge University Press.Google Scholar
Rädler, K.-H. 1968 Z. Naturforsch. A 23, 1841.CrossRefGoogle Scholar
Schmidt, J. & Yoshikawa, S. 1971 Phys. Rev. Lett. 26, 753.CrossRefGoogle Scholar
Schnack, D. D., Caramana, E. J. & Nebel, R. A. 1985 Phys. Fluids 28, 321.CrossRefGoogle Scholar
Shoenberg, K. F., Moses, R. W. & Hagenson, R. L. 1984 Phys. Fluids, 27, 1671.CrossRefGoogle Scholar
Steenbeck, M., Krause, F. & Rädler, K.-H. 1966 Z. Naturforsch. A 21, 369.CrossRefGoogle Scholar
Stix, T. H. 1978 Nucl. Fusion, 18, 3.CrossRefGoogle Scholar
Strauss, H. 1984 Phys. Fluids, 27, 2580.CrossRefGoogle Scholar
Taylor, J. B. 1974 Phys. Rev. Lett. 33, 1139.CrossRefGoogle Scholar