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Electro-Diffusion of Ions

Isaak Rubinstein

SIAM Studies in Applied Mathematics 11

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 Contains some previously unpublished results for electro-diffusional problems.

Text is geared toward researchers whose interests are directly related to electro-diffusion of ions, such as theoretically minded physical chemists, chemical engineers, membranologists, electrochemists, electrophysiologists, and electrical engineers. The book also is intended to attract applied mathematicians to a practically relevant and remarkably underdeveloped classical branch of nonlinear mass transfer. Electro-Diffusion of Ions is suitable for graduate students in corresponding fields who have a familiarity with the basic applied mathematical features.

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.

1990 / ix + 254 pages / Hardcover / ISBN-13: 978-0-898712-45-2 / ISBN-10: 0-89871-245-9 /
List Price $97.00 / SIAM Member Price $67.90 / Order Code AM11
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