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Occupancy-Probability Scaling in Diffusion-Limited Aggregation

✍ Scribed by Turkevich, Leonid A.; Scher, Harvey

Book ID
121712198
Publisher
The American Physical Society
Year
1985
Tongue
English
Weight
175 KB
Volume
55
Category
Article
ISSN
0031-9007

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πŸ“œ SIMILAR VOLUMES

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Di usion-limited aggregation is consistent with simple scaling. However, strong subdominant terms are present, and these can account for various earlier claims of anomalous scaling. We show this in detail for the case of multiscaling.

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We study the multifractal (MF) properties of the set of growth probabilities {p,} for 3D off-lattice diffusion-limited aggregation (DLA). We find that: (i) the {p,} display MF scaling for all moments-in contrast to 2D DLA, where one observes a "phase transition" in the MF spectrum for negative momen