The theory of Alfvén surface waves

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Scientific paper

The effects of non-ideal terms on the dispersion relation of magnetohydrodynamic surface waves in nonuniform, magnetised plasmas are examined. These wave modes play an important role in wave heating processes in laboratory and astrophysical plasmas. Recent results for surface waves in cold and warm plasmas at frequencies less than and equal to the ion-cyclotron frequency are presented. The plasma is modelled by fluid equations and kinetic theory, and the non-ideal effects enter via finite ion cyclotron frequency, multiple ion species, dust, the finite pressure of the ions and electrons, and collisional processes such as resistivity. The cases of low and high plasma β (gas pressure/magnetic pressure) are considered, and it is shown that the thermal and other non-ideal effects give rise to additional short-wavelength modes which can lead to damping of modes localized on a sharp surface, via leakage of energy into the short-wavelength modes. The process of resonance absorption of surface waves at the Alfvén resonance in a smoothed-out surface is examined, and a number of ways of calculating the absorption are summarised. The status of the theory of nonlinear Alfvén surface waves is also reviewed.

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