Static Space-Charge Distributions with a Single Mobile Charge Carrier

Abstract
The static space-charge distributions are found when only one mobile charge carrier exists between plane parallel blocking electrodes. The carriers are assumed to move under diffusion and conduction (Debye-Hückel). Charge dissociation (production) is assumed to be proportional to the combined (bound) charge concentration, which depends on location, where previous two-carrier theory assumes charge dissociation is everywhere a constant. Charge distributions are shown to depend strongly on the recombination rate/dissociation rate ratio and the differences from the symmetric two-carrier cases are discussed. Curves of ln concentration (or voltage) vs distance are given for several applied voltages, recombination rate/dissociation rate ratios, and sample lengths, including the semi-infinite case.

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