Geometrical multifractality of the perimeter of DLA clusters

The geometrical multifractality of diffusion-limited aggregation (DLA) clusters is investigated by evaluating the D q spectrum for q⩾0 using the standard box-counting technique. Using the cluster points themselves as input to the algorithm, deviations were found from the expected multifractal scalin...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2001, Vol.12 (1), p.193-195
Main Authors: Hanan, William G, Heffernan, Daniel M
Format: Article
Language:English
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Summary:The geometrical multifractality of diffusion-limited aggregation (DLA) clusters is investigated by evaluating the D q spectrum for q⩾0 using the standard box-counting technique. Using the cluster points themselves as input to the algorithm, deviations were found from the expected multifractal scaling. However on examining the geometric scaling properties of the cluster perimeter, such deviations were found to be significantly reduced, thus allowing a reliable D q spectrum to be calculated.
ISSN:0960-0779
1873-2887
DOI:10.1016/S0960-0779(99)00201-5