On vertical spinning Alfvén waves in a magnetic flux tube.

Physics – Plasma Physics

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Scientific paper

The authors derive the Alfvén-wave equation for an atmosphere in the presence of a non-uniform vertical magnetic field and the Hall effect, allowing for Alfvén speed and ion gyrofrequency that may vary with altitude. The exact solution is found in terms of hypergeometric functions, from which it is shown that at 'high altitude' the magnetic field perturbation tends to grow to a non-small fraction of the background magnetic field. The authors discuss an explanation for the appearance of inward- and outward-propagating waves, with almost random phases, in the solar wind beyond the earth, for which the Hall effect on Alfvén waves should be significant.

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