Compressibility of the poloidal mode

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 poloidal mode is a coupled Alfvén and fast magnetosonic mode which has Alfvén-like dispersion in the limit of large azimuthal wave number. In this brief report we discuss the assumption of incompressibility. From the point of view of ideal MHD, incompressibility is, in general, a bad assumption for the poloidal mode when the magnetic field is curved. Assuming an adiabatic equation of state for the pressure p and that it is acceptable to drop the contribution of v∥ (a low beta assumption), an approximate condition for the incompressibility assumption to be valid in the magnetosphere is that the equilibrium pressure scale length Lp<B drift.

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