The effect of plasma polarization around a negatively charged dust particle is investigated with the help of Monte Carlo simulation of ion trajectories in the electric field of the dust particle and an external electric field. The induced dipole moment of such a system was estimated in a wide range of dust particle and plasma parameters. It is shown that the dipole moment is very large, and has a non-monotonous dependence on the external electric field. For a small external electric field, it weakly depends on the charge of the dust particle. The dipole moment reduces with the decrease of ion mean free path.

The dusty crystal immersed into an external electric field is considered. For simulating such systems by Monte-Carlo methods, a numerical code is developed. It is known shown that ion density distribution shifts across the external electric field. As a result the dipole momentum of the dusty crystal is much lower than the dipole momentum of a solitary dust particle under the same conditions.

No abstract