Hydromagnetic waves in high Beta plasmas

The wave propagation and damping properties in a collisionless thermal plasma for which Beta, the ratio of the plasma pressure to the magnetic pressure, is much greater than unity, are determined. This is achieved by solving the full collisionless dispersion relation as an expansion in 1/Beta. To do this a set of iteration methods is developed which converge to this solution. These results are illustrated with two applications, the trapping of cosmic rays in supernovae remnants and the collisionless damping of hydromagnetic turbulence.

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