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A dispersion relation for a commonly used hybrid model of plasma physics isdeveloped, which combines fully kinetic ions and a massless-electron fluiddescription. Although this model and variations of it have been used todescribe plasma phenomena for about 40 years, to date there exists no generaldispersion relation to describe the linear wave physics contained in the model.Previous efforts along these lines are extended here to retain arbitrary wavepropagation angles, temperature anisotropy effects, as well as additional termsin the generalized Ohm's law which determines the electric field. A numericalsolver for the dispersion relation is developed, and linear wave physics isbenchmarked against solutions of a full Vlasov-Maxwell dispersion relationsolver. This work opens the door to a more accurate interpretation of existingand future wave and turbulence simulations using this type of hybrid model.

A linear dispersion relation for the hybrid kinetic-ion/fluid-electron model of plasma physics