Hostname: page-component-7479d7b7d-jwnkl Total loading time: 0 Render date: 2024-07-11T13:56:24.305Z Has data issue: false hasContentIssue false

Global energetics of fast magnetic reconnection

Published online by Cambridge University Press:  13 March 2009

M. Jardine
Affiliation:
Department of Mathematical Sciences, University of St Andrews, St Andrews KY16 9SS, Scotland
E. R. Priest
Affiliation:
Department of Mathematical Sciences, University of St Andrews, St Andrews KY16 9SS, Scotland

Abstract

We examine the global energetics of a recent weakly nonlinear theory of fast steady-state reconnection in an incompressible plasma (Jardine & Priest 1988). This is itself an extension to second order of the Priest & Forbes (1986) family of models, of which Petschek-like and Sonnerup-like solutions are special cases. While to first order we find that the energy conversion is insensitive to the type of solution (such as slow compression or flux pile-up), to second order not only does the total energy converted vary but so also does the ratio of the thermal to kinetic energies produced. For a slow compression with a strongly converging flow, the amount of energy converted is greatest and is dominated by the thermal contribution, while for a flux pile-up with a strongly diverging flow, the amount of energy converted is smallest and is dominated by the kinetic contribution. We also find that the total energy flowing out of the downstream region can be increased either by increasing the external magnetic Mach number Me or the external plasma beta βe Increasing Me also enhances the variations between different types of solutions.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1988

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

Dubois, M., Gresillon, D. & Bussac, M. 1985 Magnetic Reconnection and Turbulence. Editions de Physique, Paris.Google Scholar
Hones, E. W. (ed.) 1984 Magnetic Reconnection in Space and Laboratory Plasmas. American Physical Union, Washington, D.C.Google Scholar
Jardine, M. & Priest, E. R. 1988 J. Plasma Phys. 40, 143.Google Scholar
Jeffrey, A. & Taniuti, T. 1964 Non-Linear Wave Propagation. Academic Press.Google Scholar
Parker, E. N. 1963 Astrophys. J. Suppl. 8, 177.CrossRefGoogle Scholar
Petschek, H. E. 1964 Magnetic field annihilation. AAS–NASA Symposium on the Physics of Solar Flares; NASA Spec. Publ. SP-50, pp. 425439.Google Scholar
Priest, E. R. 1985 Rep. Prog. Phys. 48, 955.Google Scholar
Priest, E. R. & Forbes, T. G. 1986 J. Geophys. Res. 91, 5579.Google Scholar
Sonnerup, B. U. O. 1970 J. Plasma Phys. 4, 161.Google Scholar
Sonnerup, B. U. O. 1984 Reconnection of magnetic fields. NASA Reference Publication 1120, pp. 13.Google Scholar
Sonnerup, B. U. O. & Priest, E. R. 1975 J. Plasma Phys. 14, 283.Google Scholar
Sweet, P. A. 1958 Electromagnetic Phenomena in Cosmical Physics (ed. Lehnert, B.), pp. 123134. Cambridge University Press.Google Scholar
Vasyliunas, V. M. 1975 Rev. Geophys. Space Phys. 13, 303.CrossRefGoogle Scholar
Yeh, T. & Axford, W. I. 1970 J. Plasma Phys. 4, 207.CrossRefGoogle Scholar