Abstract

The dispersion relation for ion-acoustic waves in collisional weakly ionized dusty (complex) plasma is formulated with due regard to the grain charge fluctuations. Calculations of the dielectric response function are performed using the Bhatnagar-Gross-Krook kinetic equation. The grain charging currents are described by the Khrapak-Morfill interpolation formula [S. A. Khrapak and G. E. Morfill, Phys. Plasmas 15, 114503 (2008)]. The dependencies of the charging frequencies and effective collision frequencies on dusty plasma parameters are studied in detail. The analysis of the ion-acoustic wave spectrum is presented for the wide range of the ion collisionality for both nonisothermal and isothermal plasmas.

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