Effect of Wall Secondary Emission on the Sheath of a Magnetized Dusty Plasma with Super-Extensive Primary Electrons

Abstract This study aims to understand how secondary electron emissions influence the behaviour of dusty plasma sheaths. The analysis is carried out within the framework of a non-extensive Tsallis distribution in the presence of dynamically charged dust particles and an oblique external magnetic field. Two main types of secondary emission are considered: those emitted by the dynamically charged dust grains, which are treated using the Sternglass model, and those emitted from the wall bounding the sheath. These are accelerated within the sheath by its electric potential, and modeled using a half-Maxwellian distribution. The objective of this study is to improve our understanding of the mechanisms that govern complex plasma sheaths. It is observed that the combined effect of these secondary emissions significantly alters the properties of the sheath, particularly the dynamics of the dust, the sheath potential, and the density distribution of charged species. This influence is particularly pronounced at lower values of the non-extensive parameter q of the primary electrons.