Fractal geometries in decay models
- 1 January 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (1) , 61-65
- https://doi.org/10.1088/0305-4470/18/1/017
Abstract
Results of computer studies of the geometries produced by two distinct decay models are present. While one of the models (diffusion-limited decay) results in compact clusters, the other (random-walk decay) produces ramified clusters with the Hausdorf dimension (df) equal to 1.75+or-0.03 and 2.34+or-0.03 in two and three dimensions respectively. The spectral dimension (ds) is found to be 1.68+or-0.13 and 1.31+or-0.04 for d=2 and 3.Keywords
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