Effects of Dust Size Distribution on Shock Waves in Dusty Plasma With Nonextensive Electron

ABSTRACT This study delves into the effects of dust size distribution on the properties of shock waves in a dusty plasma, where electrons follow a nonextensive distribution. Employing the reductive perturbation method, the research explores the influence of dust size distribution, modeled by polynomial and power law distributions, on shock wave characteristics such as amplitude, width, and phase velocity. The results reveal that the phase velocity and width of a shock wave considering the dust size distribution are larger than those of the dusty plasma with the averaged dust size. However, the amplitude of a shock wave considering the dust size distribution is smaller than that of the dusty plasma with the averaged dust size. These findings are pivotal for grasping the behavior of shock waves in diverse astrophysical and space plasma contexts where dust particles present a multitude of sizes.