Image effects and ion diffusion times in lamella systems

Abstract

Analytical and numerical results are given for the effects of ionic image interactions for ion diffusion in an electrolyte confined between dielectric boundaries in a lamella geometry. The calculation is based on the Smoluchowski model for single-ion diffusion in a mean field and the linear Debye-Hückel treatment of image interactions between the diffusing ions and the dielectric boundaries. Results for the mean first passage times are given for a range of surface separations and electrolyte concentrations.