Interaction of dust grains in a plasma under quasineutrality conditions

Abstract

Pseudo potential model of dust particles interaction in the plasma is proposedto take into account the finitesize, the polarization and the screening effects under total quasineutrality conditions. The interaction micro potentials of plasma constituents include the polarization phenomena within the charge image method under the assumption that the grains are made of a conductive material. The original insight of accounting for the finite size effect is to start counting distances from the grains’ surfaces rather than from their centers. The derivation procedurestems entirely fromthe renormalization theory of plasma particles interaction which results in the so-called generalized Poisson- Boltzmann equation. The main idea is to apply the renormalization theory in order to treat the dust grains as one component plasma with the specific interaction potentialderived in such a way so as to naturallyincorporate the number densities of electrons and ions of the buffer plasma andto exclude the grain number density. The pseudo potential model developed can further be utilized in theoretical considerations and computer simulations.