Dust acoustic shock wave generation due to dust charge variation in a dusty plasma

摘要

In a dusty plasma, the non-adiabaticity of the charge variation on a dust grain surface results in an anomalous dissipation. Analytical investigation shows that this results in a small but ???nite amplitude dust acoustic (DA) wave propagation which is described by the Kortewega€“de Vriesa€“Burger equation. Results of the numerical investigation of the propagation of large-amplitude dust acoustic stationary shock wave are presented here using the complete set of non-linear dust ???uid equations coupled with the dust charging equation and Poisson equation. The DA waves are of compressional type showing considerable increase of dust density, which is of signi???cant importance in astrophysical context as it leads to enhanced gravitational attraction considered as a viable process for star formation. The DA shock transition to its far downstream amplitude is oscillatory in nature due to dust charge ???uctuations, the oscillation amplitude and shock width depending on the ratio e??”pd/e???ch and other plasma parameters.