Interaction of dust grains in a plasma under quasineutrality conditions
2014
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.
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