Kinetic analysis of the ionization ratio effects on a three‐species plasma

Abstract

In partially ionized plasmas, the energy transferred to electrically charged species by the electromagnetic field can be partly channelized to the population of neutrals, due to interspecies collisional processes. Depending on the relative density of neutrals, these effects may govern the collective plasma dynamics by drastically modifying particle dynamics and energy-transport processes with respect to the fully ionized plasma-approximation models. In this work, the influence of the ionization ratio r i on a partially ionized plasma is analysed by means of a three-species one-dimensional kinetic model to compute transient and steady state velocity-dependent distribution functions. The conservative collision operators accounting for charge-charge and charge-neutral interactions allow studying several plasma scenarios with the same entire number of particles per unit of volume but for an increasing r i parameter, in the presence of a modulated signal-like electric field. For a sequence of plasma scenarios of fixed r i , ranging from typical weakly ionized to highly ionized plasma values r i ∼ 10 −7 -10 −4 , the mass species flows are examined. These flows behave linearly with respect to r i up to a value r i ≃ 10 −5 from which the quasi-linear dependence is critically altered. The convection-diffusion equations are solved with the semianalytical Propagator Integral Method, which behaves well to deal with conservative operators, density, and field discontinuities, allowing for the use of collision terms of disparate time and spatial characteristic scales. The results can be relevant to a wide class of plasma systems and to analyse the ionization ratio effects on transport coefficients.