Lower-Hybrid Instability with Ion Streaming and Dust-Charge Fluctuation in a Dusty Plasma

Abstract

Using Vlasov-kinetic model, a dispersion relation of the low-frequency and electrostatic lower-hybrid wave is obtained accounting for the streaming of ions and dust charge fluctuations in a finite temperature and collisionless magnetized dusty plasma. It is found that the damping of this mode is the sum of the Landau damping and the charge fluctuation effect. This lower-hybrid mode can be excited when the ion streaming velocity in the direction of the magnetic field exceeds the parallel phase velocity of the mode and when the magnitude of the Landau damping exceeds the magnitude of the damping due to the dust charge fluctuation. Thus, the lower-hybrid-like mode in a dusty plasma will be damped rapidly by the unmagnetized ions compared to that due to the dust charge fluctuation process.