Plasma argon particle interactions in a non-equilibrium state through the Maxwell-Boltzmann kinetic equation

Abstract

Non-thermal Argon plasmas serve multiple functions, particularly in healthcare and industrial applications. Numerous particles of the same species exhibit varying velocities, referred to as a 'population'. The distribution function is a standard method for characterizing a population. The speed and energy distribution functions in the Maxwell-Boltzmann equation are simulated utilizing MATLAB. The density of each species was numerically calculated using the Runge-Kutta method. This research reviews various Argon species, including Ar*, Ar⁺, Ar(1s5), Ar(1s4), Ar(1s3), Ar(1s2), Ar, and electrons. The parameters utilized include a pressure of 10 mTorr, an Argon temperature about 400 K, and an electron temperature about 30,000 K. The maximum velocity probability density value is observed in the Ar⁺ species at 6.18 x 10⁷ (m/s)^-1, while the minimum value is found in electrons at 1.93 (m/s)^-1. The maximum energy probability density value is observed in the Ar⁺ species at 2.13 x 10²⁹ (Joule)^-1, while the minimum value is found in the Ar(1s3) species at 1.40 x 10²⁵ (Joule)^-1. The time evolution of the distribution function, independent of the coordinates r, is associated with v, at t = 10^-8 s. The velocity distribution function is significantly affected by the density value, while the distribution function is contingent upon the velocity.