Screening in a multicomponent plasma by the example of a wet air plasma
- PDF / 744,636 Bytes
- 12 Pages / 612 x 792 pts (letter) Page_size
- 62 Downloads / 197 Views
TICAL, NONLINEAR, AND SOFT MATTER PHYSICS
Screening in a Multicomponent Plasma by the Example of a Wet Air Plasma A. V. Filippova,*, I. N. Derbeneva, b, and S. A. Kurkina, c a Troitsk b School
Institute for Innovation and Fusion Research, Troitsk, Moscow, 108840 Russia of Chemistry, University of Nottingham, University Park, Nottingham, United Kingdom c Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow oblast, 141702 Russia *e-mail: [email protected] Received June 29, 2017
Abstract—A general theory of screening of a dust-particle charge in a multicomponent plasma is developed based on the asymptotic screening theory. In the asymptotic theory, the balance equations for the number of charged plasma particles in the diffusion-drift approximation supplemented with point sinks of plasma particles on a dust particle and the Poisson equation for the self-consistent electric field potential are solved by the linearization method using the three-dimensional Fourier transform. The coefficients of a secular or a characteristic polynomial, whose zeroes determine screening constants in a multicomponent plasma, were calculated by the Leverrier–Faddeev method, allowing one to find these coefficients for any number of initial balance equations for the number of charged plasma particles. By the example of a wet air plasma produced by an external gas-ionization source, the procedure is considered for constructing the truncated system of balance equations for main plasma ions and screening constants are determined. The influence of the number of main ions on screening constants is considered and the physical meaning of all screening constants is found. DOI: 10.1134/S1063776117110048
1. INTRODUCTION The asymptotic theory of a dust-particle charge screening was developed in papers [1, 2] in the diffusion-drift approximation based on the point sink model where a plasma consisting of two components, the electron and one ion component with a positive charge, was considered. It was assumed that the gas was ionized either by an external source or by plasma electrons. Then, the asymptotic theory was used for studying the interaction of two macroparticles [3] and screening a moving charge in a nonequilibrium plasma, screening in a plasma with positive ions of two types [6, 7], screening within the framework of the nonlocal charging theory [8], and in a dry air plasma produced by an external ionization source [9]. It was found that the number of screening constants is equal to the number of balance equations for the number or energy of plasma particles to be solved. In each case, the coefficients of the algebraic or secular equation for screening constants were explicitly determined and were quite complicated in the case of three or four equations. In a plasma of molecular gas mixtures, especially containing electronegative impurities or admixtures, the number of main ions can be even greater than four and therefore the development of the general method for determining screening constants in
a multicomponent p
Data Loading...
