Linear instability of dust acoustic waves in a magnetized gravitating plasma in the presence of dust streaming

Linear instability of dust acoustic waves (DAWs) has been theoretically studied in a collisionless gravitating dust-ion magnetized plasma including the effect of dust streaming. A linear dispersion relation has been derived by using the method of normal mode analysis. Gravitational effect is found to make the low-frequency DAW mode linearly unstable in certain parametric regions. The dependence of the growth rate of the instability on various plasma parameters such as streaming of dust particles, size of the dust grain, strength of the magnetic field, obliqueness of propagation, and number density of dust particles has been numerically analyzed and presented graphically.