Nonsteady dust charge variation induced ion acoustic monotonic shock structure in dusty plasma: Roles of ionization, ion loss, and collision

The effects of nonsteady dust charge variation, ionization, ion loss, and collision on finite amplitude nonlinear ion acoustic wave are investigated in a complex (dusty) plasma. The dynamics of the nonlinear wave is governed by a Burger equation with linear damping or growth term. The anomalous dissipation originating from the nonsteady dust charge variation is responsible for the Burger term, whereas the other dissipative mechanisms (ionization, ion loss, and collision) are responsible for the linear damping (collision and ion loss are the dominant) or growth term (ionization is the dominant). Analytical approximate time evolution solution reveals that the wave possesses monotonic shock structure with exponentially growing or decaying wave amplitude. Its implications in gas discharge laboratory plasma are discussed