A note on the interchange stability criterion

Physics – Plasma Physics

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Magnetospheric Physics: Magnetospheric Configuration And Dynamics, Magnetospheric Physics: Mhd Waves And Instabilities, Space Plasma Physics: Charged Particle Motion And Acceleration, Space Plasma Physics: Kinetic And Mhd Theory

Scientific paper

The correct stability criterion of interchange motions in the magnetosphere has been a question of some controversy. Many researchers hold the view first espoused by Gold [1959]. For a low-β plasma in a dipole magnetic field, Gold argued that the gradient of pVγ, where p is the plasma pressure, V is the unit flux tube volume, and γ is the adiabatic polytropic index, determines the interchange stability. This notion was further developed by Chandrasekhar [1960]. This common belief was questioned by Cheng [1985], who was subsequently questioned by Rogers and Sonnerup [1986] and Southwood and Kivelson [1987] on the issue. Is Gold's criterion the necessary and sufficient condition for interchange stability? We shall demonstrate that the answer is ``no'' and provide a more accurate criterion for the dipole magnetic field. We shall also discuss the interchange instability in a plasma distribution with a longitudinal gradient.

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