Abstract
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 arises only for very small angular gaps, which occur only for clusters significantly larger than particles. Intermediate size gaps exhibit an effective dimension around 1.67, even for . They dominate the distribution for clusters with . The largest gap approaches a finite limit extremely slowly, with a correction of order .
- Received 23 September 2001
DOI:https://doi.org/10.1103/PhysRevLett.88.055501
©2002 American Physical Society