Mathematical analysis of reactive ion transport in dynamic equilibrium: The case of two ionic species

Abstract

An exact solution for the transport of two reacting ion species in a drift tube is developed. The calculation of the temporal variation of ion fluxes is simplified using an approximate formulation in terms of the reaction frequencies, drift velocities, and longitudinal diffusion coefficients. The exact and approximate formulations are compared for the case of (N2+, N4+)/N2 with a view to establishing the approach to equilibrium.

High-frequency electrical breakdown in electronegative gases with fast electron attachment and detachment processes

“…Formula ( 14) has been derived earlier (Aints et al 1995) and in the limit ω → 0 it reduces to that in the steady electric field E = E a / √ 2 (Gatland 1974, Aleksandrov and Napartovich 1986, Iinuma and Takebe 1992.…”

“…It should be noted that similar pseudo diffusion has been considered for a few systems in a steady electric field. These are: electrons (or holes) transiting between energy valleys with different effective electron masses in a solid state plasma (Shockley et al 1966, Ohmi and Hasuo 1969, Matulionis and Starikov 1981; electrons moving through a gas and captured by molecules to form unstable negative ions (Aleksandrov and Napartovich 1986), and stable ions (Aleksandrov and Okhrimovskii 1995); and the transport of ions in a gas with fast forward-backward ion-molecule reactions (Gatland 1974, Iinuma and Takebe 1992, Iinuma et al 1994.…”