Deduce the dispersion relation for small amplitude waves propagating at an arbitrary direction with respect to an
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Deduce the dispersion relation for small amplitude waves propagating at an arbitrary direction with respect to an externally applied magnetostatic field B0 = B0ẑ in a hot plasma. Carry through the derivation as far as possible for an arbitrary value of the strength of the magnetostatic field. Then, particularize for the special case of a very weak magnetostatic field. For simplicity, assume the equilibrium distribution function to be the isotropic Maxwell-Boltzmann distribution. You may refer to the article Waves in a Plasma in a Magnetic Field, by Ira B. Bernstein, Physical Review, 109(1), 10-21, 1958.
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