Effects of non‐extensive electrons on the sheath of dusty plasmas with variable dust charge

Abstract

Abstract In this study, a detailed investigation of the problem of sheath is presented using the fluid model in a magnetized three‐component dusty plasma system comprising positive ions, dust grains with variable charge and q ‐non‐extensive electrons (i.e., the electrons evolve far away from their Maxwellian thermodynamic equilibrium [ q = 1]). The effects of q ‐non‐extensivity parameter on the plasma sheath parameters are studied numerically. A significant change is observed in the quantities characterizing the sheath with the presence of the super‐extensive electrons ( q < 1) and sub‐extensive electrons ( q > 1). In addition, based on the orbital motion limited theory, by taking various forces acting on the dust particle into consideration, the dynamics of the dust located within the sheath, that is, the dust grain charging inside the sheath, is examined under different values of q . It is found that the q ‐non‐extensivity has affected significantly the dynamics and the charging process of the dust grains in the sheath.