Dissipative electrostatic waves associated with the dust grain density in a nonequilibrium plasma

Abstract

A new nonlinear dissipative equation associated with the gravitational effect of dust grains is derived in a nonequilibrium plasma. Temporal evolution of the solution of this equation is shown by numerical calculation. It is shown that the nonlinear term of this equation forms the steepening and the dissipative effect damps the wave amplitude. Damping of the wave grows as the collision frequency increases. In the very low collision frequency, when the gravitational force becomes comparatively larger than the electrostatic force, the wave becomes somewhat unstable. On the other hand, when the collision frequency increases, i.e., the acceleration for the grains is comparatively larger, the behavior of the nonlinear wave becomes mild.