Kinetic theory of dusty plasmas II. Dust-plasma particle collision integrals

The recent results of the kinetic theory of dusty plasmas [V. N. Tsytovich and U. de Angelis, Phys. Plasmas 6, 1093 (1999)] are analyzed to assess the importance of new qualitative effects: Inelasticity of dust-plasma particle collisions, deviations from Debye screening and from the dust equilibrium charge in the interactions, the existence of a friction force on plasma particles, and their diffusion in energy. These collective effects depend on the plasma dielectric constant modified by dust charging effects as well as on two new types of dusty plasma responses, related to the fluctuations of plasma particle currents to dust particles. Analytic expressions for the responses are derived and numerical results are given to assess their importance and dependence on dusty plasma parameters. The rate of energy and momentum transfer from plasma particles to dust particles is calculated analytically and numerical results are presented. (C) 2000 American Institute of Physics. [S1070-664X(00)03402-9].