Magnetohydrodynamics for a multicomponent ionic mixture

The magnetohydrodynamical equations for a multi-component magnetized ionic mixture are used to derive the spectrum of collective modes for small wave numbers. The results are compared with those from formal kinetic theory, which is based on the microscopic balance equations and a projection-operator formalism. The comparison leads to a set of Green–Kubo-type expressions for the phenomenological coefficients occurring in the magnetohydrodynamical treatment.