STATIC PROPERTIES OF DUSTY PLASMAS WITH PARTICLES OF FINAL DI-MENSIONS

Abstract

The aim of the present study is to determine the static characteristics of the dust component of plasmas and calculate its pressure, which is then compared with the results of the simplest approximation formulas for the strong coupling regime. It is assumed that the dust particles have a finite size, and the interaction potential between them is obtained from the theory of the linear dielectric response with the dielectric function of the plasma appropriate for the random phase approximation. Radial distribution function and static structure factor of dust particles are obtained by solving the Ornstein-Zernike equation in the so-called reference hypernetted chain approximation, which organically includes the model of hard solid spheres incorporated within the Perkus-Yevik relation. Numerical calculations are performed for the pressure of the dust component depending on the coupling parameter, and good agreement is found with the analytical formulas, known from the literature and valid for relatively small values ​​of the packing fractions of the system.

Keywords: dusty plasma, radial distribution function, static structural factor, equation of state.