Numerical study of instabilities in magnetized inhomogeneous collisional dusty plasmas under dust dynamics

This article describes a numerical investigation of the behaviour of streaming instabilities in a magnetized, inhomogeneous, and collisional dusty plasma with typical plasma parameters when plasma properties are influenced by dust dynamics. Basic fluid equations have been formulated, including the dynamics of negatively charged dust particles along with the recombination effect on the surface of charged dust particles. The effect of dust-neutral collision has also been taken into consideration in the considered plasma model. A magnetic field of static intensity is applied at an arbitrary propagation angle. A normal mode analysis method has been used to derive dispersion relations of the existing instabilities, which are solved numerically using MATLAB. Two instabilities have been investigated, whose profiles of phase velocities and the normalized growth rates with respect to different plasma parameters like the magnetic field strength, recombination rate, electrostatic potential, dust charge and density of neutral were observed and interesting findings are noted.