The Influence of Screening Effects on the Grain Charge in a Thermal Dusty Plasma

TL;DR

This paper investigates how inhomogeneous screened electric fields affect dust grain charging in thermal dusty plasmas, providing models for charge distribution and conditions where screening effects are negligible.

Contribution

It introduces a generalized quasichemical equilibrium model accounting for inhomogeneous screening effects on dust grain charge in thermal plasmas.

Findings

Mean charge of dust grains calculated

Charge distribution function derived

Screening effects negligible for rarefied or small grains

Abstract

The influence of an inhomogeneous screened electric field on the charging of dust grains in a thermal dusty plasma is studied. The electric field of charged grains is considered within the cell approach, where the problem is reduced to a one-particle one. Within the model of quasichemical equilibrium, which is generalized to the case of an inhomogeneous screened electric field, we obtain the value of mean charge of dust grains, the distribution function of grains over charges, and the variance of this distribution. We also give the criterion of an inhomogeneity of the electric field and show that the influence of screening effects can be neglected in the case of the rarefied subsystem of dust grains and in the case of small-radius grains.