Magnetized Plasma Sheath Formation Criterion and Floating Electric Potential in the Presence of Non-Extensive Electrons and Ionization Source

Abstract

In this paper, we have developed a numerical model of a magnetized plasma sheath comprising positive ions, electrons and neutral particles. The electrons are considered, following a non-extensive distribution based on Tsallis statistics, while the ions are described using a fluid approach taking into account the ion source term. Using the Sagdeev potential method, the sheath formation criterion was established. Also, the floating electric potential was determined. The obtained results show a significant effect of ionization frequency and magnetic field orientation on the modified Bohm velocity as well as the floating electric potential. It is also shown that the floating potential is considerably affected by the super extensive electrons (q<1).