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Multifractal analysis of diffusion-limited reactions over surfaces of diffusion-limited aggregates

✍ Scribed by Shyi-Long Lee; Chih-Hung Chu; Yeung-Long Luo; Jia-Jen Ho

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 548 KB
Volume: 207
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(93)87018-x

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✦ Synopsis

Simulations of diffusion-limited reactions over surfaces of Witten-Sander diffusion-limited aggregates (DLA) were performed using a Monte Carlo random walk algorithm. Multifractal analyses were then carried out on the reaction probability distribution to investigate the effect of fractal environment of DLA surfaces on model chemical reactions. Multifractality of the reaction probability distribution in DLA was revealed from analysis of size effects. Comparisons were made to diffusion-limited reactions over Cantor set and devil's staircase surfaces reported by Avnir et al.

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