Radial Distributions of Dusty Plasma Parameters in a DC Glow Discharge

Abstract

Key words Dusty plasma in a glow discharge, electron energy distribution function, radial distributions.A non-stationary non-local kinetic model for radial distributions of dusty plasma parameters based on the solution of Boltzmann equation for electron energy distribution function is presented. Electrons and ions production in ionizing collisions and their recombination on dust particle surface were taken into account. The drift-diffusion approximation for ions was used. To obtain the self-consistent radial distribution of electric potential the Poisson equation was used. It is shown that at high dust particle density the recombination of electrons and ions can exceed their production in ionization collisions in the region of dusty cloud. In this case the non-monotonous radial distribution of the electric field is formed, the radial electric field becomes reversed and the radial electron and ion fluxes change their direction toward the center of the tube.

Non‐local electron kinetics around the cloud of dust particles

“…Calculations were performed for fixed step-like radial distributions of dust particles density, Equation (4), and for the self-consistent distribution of dust particles, Equation (5). Calculations were performed for fixed step-like radial distributions of dust particles density, Equation (4), and for the self-consistent distribution of dust particles, Equation (5).…”

“…In the first case, dust distribution was a given step-like function of a radial coordinate (as in Sukhinin et al [5,6] ) and do not change in time: In this paper, the radial distribution of the dust particles in the cloud N d (r, t) was used in calculations in two forms.…”

“…[1][2][3][4][5][6][7][8][9][10][11][12][13] It was understood that electron and ion losses on dust particle surface should be compensated for in ionizing collisions, and an averaged electric field should increase in the region containing dust particles. The influence of dust particles on gas discharge plasma is negligible only for low dust particles concentration and charge.…”

“…There are many papers devoted to the influence of dust particles on gas discharge plasma parameters. [1][2][3][4][5][6][7][8][9][10][11][12][13] It was understood that electron and ion losses on dust particle surface should be compensated for in ionizing collisions, and an averaged electric field should increase in the region containing dust particles. With the help of a homogeneous self-consistent kinetic model, it was shown [2,3] that an increase of dust particles density leads to an increase of averaged electric field and ion density, and to a decrease of dust particle charge and electron density in the dust cloud.…”

“…In particular, the electric field providing the confinement of dust particles is usually taken as a given one. The influence of dust particles on radial distributions of the discharge plasma parameters was studied by a non-local kinetic model in Fedoseev et al [4][5][6][7] and with the help of drift-diffusion approximation for electrons and ions in recent papers. [9][10][11][12][13][14] The aim of this work is to highlight the non-local influence of a dust cloud on a DC discharge plasma.…”