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Scaling and Crossovers in Diffusion Limited Aggregation

โœ Scribed by Somfai, E.; Sander, L. M.; Ball, R. C.

Book ID
121495317
Publisher
The American Physical Society
Year
1999
Tongue
English
Weight
91 KB
Volume
83
Category
Article
ISSN
0031-9007

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๐Ÿ“œ SIMILAR VOLUMES

Correction to scaling analysis of diffus
Correction to scaling analysis of diffusion-limited aggregation
โœ Ellรกk Somfai; Robin C. Ball; Neill E. Bowler; Leonard M. Sander ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 136 KB

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