The validity of a particular fractal modification of the Cottrell equation is verified by computer simulation for quasi-random boundaries.
Diffusion to fractal surfaces
✍ Scribed by L. Nyikos; T. Pajkossy
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 276 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0013-4686
No coin nor oath required. For personal study only.
✦ Synopsis
Diffusion (Warburg) impedance is generalized for irregular electrode surfaces characterized by their fractal dimension Df. The frequency exponent of the impedance is shown to be (Df-1)/2, a result verified by computer simulation.
📜 SIMILAR VOLUMES
Decay of the diffusion controlled current of particles diffusing from an initially homogeneous medium to a completely absorbing fractal boundary was previously shown to exhibit z-time-dependence instead of the conventional t -1/2 one with the exponent a being determined by the fractal dimension, D r
The expressions describing the shape of voltammograms of reversible redox couples are generalized for a fractal boundary. It is shown that they are analogous to the conventional ones except for the need to use a Riemann-Liouville transformation of order q = --Q instead of q = -l/2 to bring the fract