THERMODYNAMIC PROPERTIES OF THE DUST COMPONENT OF PLASMAS WITH PARTICLES OF FINITE DIMENSIONS

Abstract

The main objective of the investigation is to construct a self-consistent theory of static properties, in particular, the calculation of the equation of state of the dust component of plasmas with subsequent comparison with the Monte Carlo simulation results. The self-consistent approach to evaluation of the static properties of the dust component of plasmas is proposed, which starts from the determination of the dust particle charge and finishes with derivation of the equation of state of the dust component. It is believed that the dust particles interact via the previously proposed interaction potential, which takes into account the finiteness of their size, and also exploits the correct boundary condition obtained in the framework of the classical plasma electrodynamics. For this purpose, the distance is measured between the surfaces of the interacting particles and the linear density-response formalism is engaged in the random-phase approximation. Calculation of the charge of dust particles is performed within the orbital motion limited approximation that completely ignores the collision of plasma particles in the charging process. Radial distribution function and static structural factor of the plasma dust component are calculated by using the so-called reference hypernetted-chain approximation, developed to take into account the finite size of the dust particles. This opens a new possibility to evaluate the spectrum of dust-acoustic waves taking into account the recharging of dust particles in a plasma, whose characteristic time should be much less than the inverse Langmuir frequency of the dust particles.

Keywords: dusty plasma, dust radial distribution functions, static structure factors, integral equation method, equation of state.