Effect of Elastic Collisions on the Ion Distribution Function in Parent Gas Discharge Plasma

An analytical solution is obtained for the Boltzmann kinetic equation for ions in the plasma of its gas with allowance for the processes of resonant charge exchange and elastic ion scattering on the atom. The cross section of differential elastic scattering was assumed to be isotropic in the system...

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Bibliographic Details
Published in:High temperature 2018-03, Vol.56 (2), p.162-172
Main Authors: Mustafaev, A. S., Nekuchaev, V. O., Sukhomlinov, V. S.
Format: Article
Language:English
Subjects:
Angular distribution
Atoms and Molecules in Strong Fields
Charge exchange
Classical and Continuum Physics
Collisions
Distribution functions
Elastic scattering
Industrial Chemistry/Chemical Engineering
Ion distribution
Ion energy distribution
Ion scattering
Ion velocity
Kinetic equations
Laser Matter Interaction
Materials Science
Mathematical analysis
Physical Chemistry
Physics
Physics and Astronomy
Plasma Investigations
Velocity distribution
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Summary:An analytical solution is obtained for the Boltzmann kinetic equation for ions in the plasma of its gas with allowance for the processes of resonant charge exchange and elastic ion scattering on the atom. The cross section of differential elastic scattering was assumed to be isotropic in the system of the mass center, and the resonant charge exchange process is independent of the elastic scattering. It is shown that the ion velocity distribution function is determined by two parameters and differs significantly from the Maxwellian one. The allowance for elastic scattering with these assumptions leads to a change in the ion angular distribution and also to a decrease in the average ion energy due to the transfer of part of the ion energy to atoms upon elastic collisions. The calculated values of the drift velocity, the average energy, and the coefficient of transverse diffusion of He + ions in He, Ar + ions in Ar are compared with the known experimental data and the results of Monte Carlo calculations; they show good agreement.
ISSN:0018-151X
1608-3156
DOI:10.1134/S0018151X18020165