Fractal dimension of the accessible perimeter of diffusion-limited aggregation
- 1 August 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 40 (3) , 1713-1716
- https://doi.org/10.1103/physreva.40.1713
Abstract
We directly measure the fractal dimension of the accessible perimeter for diffusion limited aggregation. We find =D, where D is fractal dimension. Moreover, the number of inaccessible sites also scales as the mass of the entire aggregate, stabilizing at (36–37) % of the total perimeter after a short transient. Hence, the well-known anomalies in the multifractal analysis of the growth probability distribution are not a result of the possibility
Keywords
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