Nonextensive electron and ion dust charging currents

The correct nonextensive electron and ion charging currents are presented for the first time based on the orbit motion limited approach. For -1 < q < 1, where q measures the amount of plasma nonextensivity, the nonextensive electron charging current is expressed in terms of the hypergeometric function. The variable dust charge is expressed in terms of the Lambert function and we take advantage of this transcendental function to investigate succinctly the effects of nonextensive charge carriers. The obtained formulas bring a possibility to build theories on nonlinear collective process in variable charge nonextensive dusty plasmas. (C) 2011 American Institute of Physics. [doi:10.1063/1.3561826]