Influence of dust-ion collisions on waves in self-gravitating dusty plasmas

Abstract

In self‐gravitating dusty plasmas, the dust particles can interact through electric, self‐gravitational and collisional forces. If neutral dust is absent, the main collisional forces will be those between the ions and the dust grains. When only the dust‐ion collisions are retained in the description, rootlocus theory can be used to easily determine the stability of self‐gravitating plasmas. Moreover, rootlocus theory enables a visualization of the evolution of the real frequencies and damping decrements of the dust‐acoustic and ion‐acoustic modes. The development of these important frequencies are mapped for increasing dust‐ion frequencies.