Electromagnetic instabilities in rotating magnetized viscous objects

In this paper, we study electromagnetic streaming instabilities in the thermal viscous regions of rotating astrophysical objects, such as magnetized accretion discs, molecular clouds, their cores and elephant trunks. The results obtained can also be applied to any regions of interstellar medium, where different equilibrium velocities between charged species can arise. We consider a weakly ionized multicomponent plasma consisting of neutrals and magnetized electrons, ions and dust grains. We take into account the effect of perturbation of collisional frequencies as a result of the density perturbations of species. We obtain general expressions for the perturbed velocities of species involving the thermal pressure and viscosity when perturbations propagate perpendicular to the background magnetic field. The dispersion relation is derived and investigated for axisymmetric perturbations. New compressible instabilities generated as a result of different equilibrium velocities of different charged species are found in the cold and thermal limits either when the viscosity of neutrals can be neglected or when it is important. The viscosity of magnetized charged species is negligible for the perturbations considered that have wavelengths much larger than the Larmor radius of species. At the same time, the neutrals are shown to be immobile in electromagnetic perturbations when their viscosity is sufficiently large.