Dust surface potential in a generalized (r, q)‐distributed multi‐ion dusty plasma

Abstract

Potential on the surface of spherical dust is theoretically determined by employing the generalized power law (r, q) distribution function (df) in a multi‐ion dusty plasma. Considering a steady‐state condition, the current balance equation is solved for negatively charged dust particulates and analysed two specific cases, namely, the negative ions as streaming and dynamic non‐thermal particles. It is numerically shown that dust grain (surface) potential is significantly modified by the variation of different plasma parameters, for example, the r and q spectral indices attributed to generalized power law df, the streaming and non‐thermal negative ions, the negative ion‐to‐electron temperature ratio and the density ratio involving the negative‐to‐positive ions. The relevance to low‐temperature laboratory non‐thermal dusty plasma is briefly discussed by incorporating two types of oxygen ion species.