Shock waves in plasmas with charge fluctuating dust of opposite polarity

A dusty plasma system containing Boltzmann-distributed electrons and ions, mobile charge fluctuating positive dust and charge fluctuating stationary negative dust has been considered. The nonlinear propagation of the dust-acoustic (DA) waves in such a dusty plasma has been investigated by employing the reductive perturbation method. It has been found that the dust charge fluctuation is a source of dissipation, and is responsible for the formation of DA shock waves in such a dusty plasma. The basic features of the DA shock waves have been identified in this investigation which could be useful in understanding the properties of localized space dusty plasmas. It has been proposed to design a new laboratory experiment, which will be able to identify the basic features of the dust-acoustic shock waves predicted in this theoretical investigation