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We employ the approximation of overlapped scattering potentials of chargeddust particles exposed to streaming ions to deduce the "equation of state" fora stationary dust cloud in the radio frequency discharge apart from the voiddust boundary. The obtained equation defines the potential of a dust particleas a function of the ion number density, the mass of a carrier gas atom, andthe electron temperature. A scaling law that relates the particle numberdensity to the particle radius and electron temperature in different systems isformulated. Based on the proposed approach the radius of a cavity around alarge particle in the bulk of a cloud is estimated. The results of calculationare in a reasonable agreement with the experimental data available inliterature.

A scaling law for the dust cloud in radio frequency discharge under microgravity conditions