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Dispersion equation for ballooning modes in two-component plasma

Published online by Cambridge University Press:  13 December 2013

D. A. Kozlov ,
N. G. Mazur ,
V. A. Pilipenko  and
E. N. Fedorov
D. A. Kozlov
Affiliation:
Institute of Solar-Terrestrial Physics, Irkutsk, Russia
N. G. Mazur
Affiliation:
Institute of Physics of the Earth, 123995 Moscow, Russia
V. A. Pilipenko*
Affiliation:
Space Research Institute, 117997 Moscow, Russia
E. N. Fedorov
Affiliation:
Institute of Physics of the Earth, 123995 Moscow, Russia
*
†Email address for correspondence: [email protected]
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Abstract

The ballooning magnetohydrodynamic (MHD) modes have been often suggested as a possible instability trigger of the substorm onset, and a mechanism of compressional waves in the outer magnetosphere and magnetotail. Commonly, these disturbances are characterized by the local dispersion equation that is widely applied for the description of ultra-low-frequency oscillatory disturbances and instabilities in the nightside magnetosphere. In realistic situations, especially in the inner magnetosphere, the magnetospheric plasma is composed of two components: background ‘cold’ plasma and ‘hot’ particles. The ballooning disturbances in a two-component plasma immersed into a curved magnetic field are described with the system of coupled equations for the Alfvén and slow magnetosonic (SMS) modes. We have reduced the basic system of MHD equations to the dispersion equation for the small-scale in transverse direction disturbances, and applied WKB approximation along a field line. As a result, we have derived a dispersion equation that can be used for geophysical applications. In particular, from this relationship the dispersion, instability threshold, and stop-bands of the Alfvén and SMS modes in two-component plasma have been examined.

Type
Papers
Information
Journal of Plasma Physics , Volume 80 , Issue 3 , June 2014 , pp. 379 - 393
Copyright
Copyright © Cambridge University Press 2013 

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References

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