Low frequency electrostatic instabilities in a two-dust component plasma

The kinetic dispersion relation for a four-component magnetized dusty plasm a comprising of ions, electrons and two negatively charged dust components (of different mass and charge) is solved for low-frequency electrostatic in stabilities in the dust plasma frequency regime. The free energy that drive s the instability is provided by a drift of the ions in the direction of an externally applied magnetic field. The effect of the variation of plasma p arameters such as ion drift speed, particle densities, ion and dust tempera ture and magnetic held strength on the real frequency and the growth rate o f the instability is examined. Numerical solutions of the full dispersion r elation are compared with approximate analytical expressions.