Abstract
AbstractThe range of validity of the electroneutrality assumption is examined in the context of a membrane model, a fixed charge membrane permeable only to the counter ions. Following the treatment of MacGillivray, the perturbation approach employed invokes asymptotic matching procedures to match the solutions in the two boundary layers with those in the membrane core. The perturbation parameter is the ratio of the Debye length to the membrane thickness. It turns out that in the membrane core, electroneutrality and constant field obtain to all orders in the perturbation parameter. It is pointed out that these features are peculiar to the model considered. A current‐voltage relationship is also derived.
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More From: Berichte der Bunsengesellschaft für physikalische Chemie
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