Abstract
Time-dependence of material transport through plane sheets has become especially important for the understanding of membrane cells and membrane-coated electrodes. General methods for linear systems invoke the theta functions that are solutions of Fick's Second Law and equivalent Nernst-Planck equations, and approximations for non-linear problems. A compilation of transforms in the context of diffusion problems, and a series of examples are presented. Diffusion-migration in thin-layer cells, the Nernst boundary layer, and ion exchange materials are emphasized. A relationship of plane-sheet transport of ionic conductors with mixed conductors is indicated.
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