Effect of Electrostatic Interaction in the Formation of Dust-Acoustic Shock Wave with Fluctuating Dust Charge

A theoretical investigation on the effect of electrostatic interaction on dust acoustic wave (DAW) has been carried out in weakly nonlinear limit in strongly coupled regime with fluctuating dust charge. The generalized hydrodynamic set of equations is employed in the hydrodynamic limit. The dust?dust electrostatic interaction couples with dust charge fluctuation, as well as the viscosity of the medium, and provides the dissipative effect, which leads to the formation of shock wave in such a system. The novel feature of the present work is that, in the presence of charge fluctuation, the effective electrostatic temperature starts affecting the behavior and also enhancing the formation of monotonic shock wave. In this investigation, the dissipative effect arising due to charge fluctuation is dominant in comparison to the viscosity of the medium in the presence of electrostatic temperature.