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

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