Electro-Diffusion of Ions

This is one of the first texts in which electro-diffusion of ions in its different aspects is considered as a unified subject. As a subject it is relevant to understanding the behavior of apparently different physical objects such as electrolyte solution, ion-exchangers, ion-selective membranes, and semiconductors. This text treats a selection of topics in electro-diffusion of ions in an aqueous medium - a nonlinear transport process whose essence is diffusion of ions combined with their migration in a selfconsistent electric field. Electro-Diffusion of Ions is intended to enhance the understanding of particular electro-diffusional transport phenomena and to spark the interest of the mathematical community in the corresponding area of applications and development of a unified scientific vision. Contains some previously unpublished results for electro-diffusional problems.

Preface; Introduction; Nonlinear effects in electro-diffusional equilibrium; Locally electro-neutral electro-diffusion without electric current; Stationary current with local electro-neutrality; The nonequilibrium Space charge in one-dimensional electro-diffusion; A prototypical convective electro-diffusional phenomenon -electro-osmotic oscillations; References.

One of the first texts where electro-diffusion of ions in its different aspects is considered as a unified subject. This text treats a selection of topics in aqueous electro-diffusion of ions - a nonlinear transport process whose essence is diffusion of ions combined with their migration in a selfconsistent electric field.