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Ion Transport Analysis by Extended Wannier Theory: II. Effect of Ion Density Gradient in the Transverse Direction

In this paper, Wannier's integral-differential equations derived from the Boltzmann equation in the cases of cold gas were extended to cases having density gradients in the transverse direction. Velocity distributions of an ion swarm were obtained by solving these equations numerically. The mobilities and diffusion coefficients obtained from these velocity distributions coincided with those obtained previously by Monte-Carlo simulation.