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Sharp Fickian fronts in conjugated polymer films (2015)

Edwards, D. A.

Oxford University Press

In: IMA Journal of Applied Mathematics

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Publikationsdatum: 2015-03-21

Beschreibung: Many electrochemical devices are formulated on conjugated polymer films. A model is presented for electrogenerated chemiluminescence in such systems. The resulting diffusion equation for ion transport has a standard Fickian form, but with a highly nonlinear diffusion coefficient. The asymptotic analysis of the equation involves both intermediate layers and logarithmic matching. The asymptotic results show a sharp Fickian front, and compare favourably with numerical simulations and experimental results. Additional results are also presented for the solution beyond saturation, as well as in the more realistic case of polar coordinates.

Print ISSN: 0272-4960

Digitale ISSN: 1464-3634

Thema: Mathematik

Publiziert von Oxford University Press

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