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

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.