Magnetosonic wave instability in a streaming dusty plasma

General dispersion relation of plasma waves in a finite temperature flowing dusty plasma in the presence of an external magnetic field has been examined using the Vlasov-Maxwell system of equations. In the frequency regime between ion and dust cyclotron frequencies, the transverse electromagnetic dust-ion magnetosonic wave mode is found to propagate nearly perpendicular to the external magnetic field, which reduces to the usual magnetosonic wave in the absence of dust. The electrostatic dust-lower-hybrid mode is also recovered propagating nearly perpendicular to the external magnetic field in a finite ion temperature and cold dust plasma, which for the strong ion-Larmor radius effect reduces to the usual dust-acoustic wave driven by the ion pressure