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
Correction to scaling analysis of diffusion-limited aggregation
✍ Scribed by Ellák Somfai; Robin C. Ball; Neill E. Bowler; Leonard M. Sander
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 136 KB
- Volume
- 325
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
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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