A note on the westward drift of the earth's magnetic field

Physics

Scientific paper

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Geomagnetism, Magnetic Variations, Magnetohydrodynamic Waves, Rotating Fluids, Buoyancy, Coriolis Effect, Drift Rate

Scientific paper

The propagation of Alfven waves in a rotating magnetic fluid that is axially symmetric and has a zonal magnetic field is analyzed with allowance for buoyancy and Coriolis forces. Alfven waves of sinusoidal variation of a given class are considered. For admissible states, determined by inequalities on the velocity, magnetic field, and entropy gradient and involving the wavenumber, it is found that almost as many waves with a given wavenumber travel eastward as travel westward. All these waves are neutrally stable. The known equivalence (Malkus, 1967) between Alfven waves and inertial waves, when the phase speed of the Alfven waves is much less that the angular velocity of the fluid and the frequency of the inertial wave is of the order of the angular velocity of the fluid, is found to remain valid even when stratification is included.

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