Hostname: page-component-77c89778f8-5wvtr Total loading time: 0 Render date: 2024-07-16T17:45:45.982Z Has data issue: false hasContentIssue false

Transport equations on different time scales for intermediately and strongly collisional regimes

Published online by Cambridge University Press:  13 March 2009

J. W. Edenstrasser
Affiliation:
Institute for Theoretical Physics, University of Innsbruck, Austria
M. M. M. Kassab
Affiliation:
Institute for Theoretical Physics, University of Innsbruck, Austria

Abstract

The plasma transport equations for a weakly collisional plasma have previously been derived for four different time scales. This paper is devoted to the derivation of the plasma transport equations for the two other complementary regimes: the intermediately collisional regime (ICR) (i.e. for the case where the transit time w1 is of the same order as the collision time is of the same order as the collision time ), and the strongly collisional regime (SCR) (i.e. for the case of ) for different time scales. It is shown that the lowest-order gyromotion is unperturbed by collisions. On the Alfvén time scale, one merely obtains for both the intermediately collisional case and the strongly collisional case the single-fluid ideal MHD equations, if certain additional requirements are satisfied. On the MHD-collision time scale, one arrives at the full set of transport equations, where in both cases, contrary to the weakly collisional case, no turbulent terms are found. On the resistive diffusion timescale, one ends up with the known transport equations, with the addition of turbulent contributions.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1996

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

Braginskii, S. I. 1965 Reviews of Plasma Physics, Vol. 1 (ed. Leontovich, M. A.), p. 205. Consultants Bureau, New York.Google Scholar
Edenstrasser, J. W. 1995 Phys. Plasmas, 2, 1192.CrossRefGoogle Scholar
Freidberg, J. P. 1987 Ideal Magnetohydrodynamics, pp. 1819. Plenum Press, New York.CrossRefGoogle Scholar
Hinton, F. L. & Hazeltine, R. D. 1976 Rev. Mod. Phys. 48, 239.CrossRefGoogle Scholar
Jardin, S. C. 1985 Multiple Timescales, p. 185. Academic Press, London.Google Scholar
Rogister, A. & Li, D. 1992 Phys. Fluids B4, 804.CrossRefGoogle Scholar
Woods, L. C. 1993 An Introduction to the Kinetic Theory of Gases and Magnetoplasmas, pp. 141142. Oxford University Press.CrossRefGoogle Scholar