Abstract
The local dispersion relation for shear and kinetic Alfvén waves is derived for arbitrary alpha particle distribution functions and analyzed for a set of representative distribution functions. Including both the velocity dependence of magnetic drift and temperature gradients is found to have the most striking effect on the partial growth rate associated with alpha particles for shear Alfvén waves. Parallel electric field effects are included and found to make significant changes in the damping associated with electrons and ions. The formalism parallels that used in reduced magnetohydrodynamics, so that it can be readily extended to calculations incorporating more detailed and realistic equilibrium geometry.
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