Influence of Generalized ( r , q ) Electron Distribution Function on Dust Grain Charging in a Dusty Plasma

We reexamined the variation of the dust grain charge in a dusty plasma within the framework of the Double Spectral Distribution (DSD). Using the Orbital Motion Limited (OML) approach, the exact expression for the generalized electron current corresponding to the distribution was derived. The impact of this distribution on the equilibrium charge of the dust grain was thoroughly investigated. The results reveal that the distribution significantly alters the electron current, and consequently, the equilibrium grain charge. The effects of the two parameters and are similar in that they both contribute to making the grain charge less negative, a behavior analogous to that observed by Tribeche and Shukla in the context of the nonextensive Tsallis distribution.