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Nonlinear non-stationary Alfvén resonance

Published online by Cambridge University Press:  01 August 1999

I. S. DMITRIENKO
I. S. DMITRIENKO
Affiliation:
Institute of Solar–Terrestrial Physics (ISTP), Siberian Department of Russian Academy of Sciences, Irkutsk 33, PO Box 4026, 664033, Russia (e-mail: [email protected])
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Abstract

For a cold plasma that is inhomogeneous (in the direction across an external homogeneous magnetic field), the nonlinear equation describing the spatial structure and temporal behaviour of a non-stationary disturbance in a resonance layer is obtained. The matching conditions for a disturbance through the resonance layer are obtained, and in the linear limit give a well-known linear matching. It is shown that the spatial and temporal behaviour of the resonance disturbance and the evolution of the resonant absorption in terms of nonlinear theory are determined by the ratio of the nonlinear to linear non-stationary spatial scales. The spatial–temporal profile of the disturbance in the resonance layer and the resonant absorption for different values of this ratio are calculated. A nonlinear decrease in the resonant absorption and a stratification of the resonance disturbance are revealed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 62 , Issue 2 , August 1999 , pp. 145 - 164
Copyright
1999 Cambridge University Press

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