Phys. Rev. Lett. 88, 055501 (2002) [4 pages]Angular Gaps in Radial Diffusion-Limited Aggregation: Two Fractal Dimensions and Nontransient Deviations from Linear Self-Similarity
When suitably rescaled, the distribution of the angular gaps between branches of off-lattice radial diffusion-limited aggregation is shown to approach a size-independent limit. The power-law expected from an asymptotic fractal dimension D = 1.71 arises only for very small angular gaps, which occur only for clusters significantly larger than M = 106 particles. Intermediate size gaps exhibit an effective dimension around 1.67, even for M→∞. They dominate the distribution for clusters with M<106. The largest gap approaches a finite limit extremely slowly, with a correction of order M-0.17. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.055501
DOI:
10.1103/PhysRevLett.88.055501
PACS:
61.43.Hv, 05.45.Df, 47.53.+n
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