Self-consistent chemical model of partially ionized plasmas

Abstract

A simple renormalization theory of plasma particle interactions is proposed. It primarily stems from generic properties of equilibrium distribution functions and allows one to obtain the so-called generalized Poisson-Boltzmann equation for an effective interaction potential of two chosen particles in the presence of a third one. The same equation is then strictly derived from the Bogolyubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy for equilibrium distribution functions in the pair correlation approximation. This enables one to construct a self-consistent chemical model of partially ionized plasmas, correctly accounting for the close interrelation of charged and neutral components thereof. Minimization of the system free energy provides ionization equilibrium and, thus, permits one to study the plasma composition in a wide range of its parameters. Unlike standard chemical models, the proposed one allows one to study the system correlation functions and thereby to obtain an equation of state which agrees well with exact results of quantum-mechanical activity expansions. It is shown that the plasma and neutral components are strongly interrelated, which results in the short-range order formation in the corresponding subsystem. The mathematical form of the results obtained enables one to both firmly establish this fact and to determine a characteristic length of the structure formation. Since the cornerstone of the proposed self-consistent chemical model of partially ionized plasmas is an effective pairwise interaction potential, it immediately provides quite an efficient calculation scheme not only for thermodynamical functions but for transport coefficients as well.

Quantum characteristics of occurrence scattering time in two-component non-ideal plasmas

“…Recently, the description of plasma particle interactions by using the renormalization procedure [33] has been proposed to explore the Poisson-Boltzmann equation for an effective interaction potential of two chosen particles in the presence of a third particle in partially ionized dense hydrogen plasmas. Hence, the investigation for the renormalization shielding effects on the occurrence time in dense hydrogen plasmas will be treated elsewhere.…”

Influence of Polarization Phenomena on Radial Distribution Function of Dust Particles

“…To account for collective events in the plasma medium we consider the interaction of two isolated dust particles in the presence of a third buffer plasma particle which results in the following generalized Poisson-Boltzmann equation [6] …”

“…At the derivation of basic equation (4) an appropriate averaging procedure was used to account for the collective events in plasmas [6]. Such a renormalization should evidently exclude the states of the plasma particles inside the dust grains.…”

Finite size effects in the static structure factor of dusty plasmas

“…Of use in the following is the renormalization theory of plasma particles interactions 30 in which an appropriate averaging procedure over particles positions is carried out to account for the collective events in plasmas. No doubt, such a renormalization has to exclude the particles positions located inside the dust grains.…”