Stationary MHD waves modified by Hall current coupling -- 2: Incompressible flow

Computer Science – Numerical Analysis

Scientific paper

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Electric Current, Electromagnetic Coupling, Hall Effect, Incompressible Flow, Laplace Transformation, Magnetohydrodynamic Flow, Plasma Waves, Space Plasmas, Coupled Modes, Doppler Effect, Electric Potential, Field Aligned Currents, Gyrofrequency, Numerical Analysis, Plasma Density, Wave Equations

Scientific paper

In this paper we consider the incompressible limit of the general development presented in Woodward and McKenzie (1994), who analyze the system of stationary waves generated by a point source current immersed in a flowing magnetoplasma including Hall current effects. There are two wave modes present in this limit, namely the fast and slow modes, both of which are semi-field-aligned, and the slow mode experiences a resonance at the proton gyrofrequency. In contrast to the compressible situation, the magnetic pressure perturbation displays a Laplacian decay in addition to the characteristics of the fast and slow modes. Furthermore in the very sub-Alfvenic flow limit, the parallel current and magnetic pressure disturbances together with the associated electric potential perturbation are predominantly of fast mode character.

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