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Effects of asymmetries on the collisionless reconnecting instability

Published online by Cambridge University Press:  13 March 2009

B. Chike-Obi
Affiliation:
Department of Physics, University of Ilorin, Ilorin, Nigeria

Abstract

The stability of collisionless reconnecting modes which are driven by a current density gradient is analysed. We consider an inhomogeneous plasma embedded in a sheared magnetic field with finite density and temperature gradients and employ a kinetic description for the inner boundary layer. Appropriate approximations reduce the resulting integro-differential system of equations to a pair of coupled second-order differential equations. In contrast to previous results, the differential operators acting on the field components do not exhibit definite symmetry. Matching is performed numerically to the outer ideal MHD region without regard to symmetry. The asymmetric part of the solution affects the mode frequency and growth rate to the extent that the radial amplitude of the perturbed magnetic field has a significant variation within the singular layer. Stability properties with respect to relevant parameters are investigated.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1985

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References

REFERENCES

Antonsen, T. M. & Coppi, B. 1979 MIT RLE Report PRR 79/23 MIT.Google Scholar
Ara, G., Basu, B., Coppi, B., Laval, G., Rosenbluth, M. N. & Waddell, B. V. 1978 Ann. Phys. 112, 443.CrossRefGoogle Scholar
Coppi, B. 1966 Non-equilibrium Thermodynamics Variational Techniques and Stability (ed. Donnelly, R. J., Herman, R. and Prigogine, I.), p. 259. University of Chicago Press.Google Scholar
Coppi, B. & Friedland, A. 1971 Astrophys. J. 169, 379.CrossRefGoogle Scholar
Coppi, B., Laval, G. & Pellat, R. 1966 Phys. Eev. Lett. 16, 1207.CrossRefGoogle Scholar
Coppi, B., Mark, J. W.-K., Sugiyama, L. & Bertin, G. 1978 Ann. Phys. 119, 370.CrossRefGoogle Scholar
Fried, B. D. & Conte, S. D. 1961 The Plasma Dispersion Function. Academic.Google Scholar
Rutherford, P. H. 1979 Physics of Plasmas Close to Thermonuclear Conditions, vol. 1 (ed. Coppi, B., Leotta, G. G., Pfirsch, D., Pozzoli, R. and Sindoni, E.), p. 129. Commission of the European Communities.Google Scholar
Shampine, L. F. & Gordon, M. K. 1975 Computer Solution of Ordinary Differential Equations – The Initial Value. Problem. Freeman.Google Scholar
Von Goeler, S., Stodiek, W. & Sauthoff, N. 1974 Phys. Rev. Lett. 33, 1201.CrossRefGoogle Scholar