Gravitational Drift Instability in Quantum Dusty Plasmas

Abstract

Abstract The dispersion relation of electrostatic waves due to multi-drifts is studied in an ambient magnetic field across three-species quantum dusty plasmas. The quantum hydrodynamic model is applied to analyze the effects of the Lorentz and the gravitational forces. It is found that the instability is excited mainly due to the E 0 × B 0 \({\mathbf{E}_{0}}\times{\mathbf{B}_{0}}\) drift of the plasma species. However, an additional g 0 × B 0 \({\mathbf{g}_{0}}\times{\mathbf{B}_{0}}\) drift associated with dust particles enhances the instability over a wide spectrum of wavevector. The role of a varying magnetic field and the number density of electrons in the wave instability are analyzed graphically. It is noticed that these factors have a significant contribution over the drift instability.