Ion Transport Analysis by Extended Wannier Theory: Effect of Ion Density Gradient

Abstract

In this paper, Wannier's integral-differential equations derived from the Boltzmann equation in the cases of cold gas or high-electric-field model with a uniform ion density distribution were extended to cases having density gradients toward the field direction. Velocity distributions of ion swarm were obtained by solving these equations using numerical calculations. The mobilities and diffusion coefficients obtained from these velocity distributions agreed with ones obtained previously through Monte Carlo simulation.