The kinetic response of a stochastic plasma to low frequency perturbations

Mathematics – Probability

Scientific paper

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Astrophysics, Distribution Functions, Geomagnetic Tail, Ion Motion, Kinetics, Low Frequencies, Magnetic Field Configurations, Magnetic Moments, Magnetic Storms, Perturbation, Plasma Dynamics, Plasma Interactions, Plasma Physics, Probability Distribution Functions, Stochastic Processes, Bessel Functions, Electrostatics, Graphs (Charts), Ions, Vlasov Equations

Scientific paper

Following suggestion that substorm breakup might be caused by an interchange or ballooning instability, several magnetohydrodynamic (MHD) and gyro-kinetic stability analysis have been performed for plasma sheet magnetic field geometries. However, the stochastic ion dynamics in the highly stressed, thin high-beta near earth plasma sheet violate the locality requirements of MHD and the invarience of the magnetic moment, mu, required by gyro-kinetic theories. In this paper we develop a new linear Vlasov kinetic theory (for low frequency modes omega less than omega(sub b), omega(sub b) being the bounce frequency) which includes the dynamics of stochastic ions.

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