Hall instabilities in dusty plasmas

A unified treatment is presented of Hall instabilities in collisional dusty plasmas, using fluid equations for all charged components. Two modes are generally possible: one with frequencies in the ion-acoustic range (the Farley–Buneman mode), and the other with frequencies in the dust-acoustic range. The real and imaginary parts of the mode frequencies are obtained as functions of the electric field, E0, perpendicular to the magnetic field, B, permeating the plasma. Calculations are performed for laboratory-type plasmas, and for ionospheric-type plasmas.