A review of anomalous diffusion phenomena at fractal interface for diffusion-controlled and non-diffusion-controlled transfer processes

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This article reviewed anomalous diffusion phenomena coupled with facile and sluggish charge-transfer reactions at fractal interface. Firstly, the generalised diffusion equation (GDE) involving a fractional derivative which describes diffusion towards and from fractal interface was briefly introduced. And then, anomalous diffusion coupled with facile charge-transfer reaction at fractal interface, i.e., diffusion-controlled transfer process across fractal interface, was mathematically examined by the generalised Cottrell, Sand, Randles-Sevcik and Warburg equations theoretically derived from the analytical solutions to the GDE under the semi-infinite boundary condition. Finally, in order to provide a guideline in analysing anomalous diffusion coupled with sluggish charge-transfer reaction at fractal interface, i.e., non-diffusion-controlled transfer process across fractal interface, this review covered the recent researches into the effect of surface roughness on non-diffusion-controlled transfer process within the intercalation electrodes.
Publisher
Springer
Issue Date
2007-02
Language
English
Article Type
Article; Proceedings Paper
Keywords

LI-1-DELTA-COO2 FILM ELECTRODE; ANODIC CURRENT TRANSIENT; PD FOIL ELECTRODE; POTENTIOSTATIC CURRENT TRANSIENT; CONTROLLED LITHIUM TRANSPORT; LINEAR SWEEP VOLTAMMOGRAM; PHASE-ANGLE RESPONSE; FRACTIONAL DIFFUSION; HYDROGEN TRANSPORT; CHARGE-TRANSFER

Citation

JOURNAL OF SOLID STATE ELECTROCHEMISTRY, v.11, no.2, pp.323 - 334

ISSN
1432-8488
URI
http://hdl.handle.net/10203/89215
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