Quantitative growth law of diffusion-limited aggregates and their small-mass behavior
- 1 February 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 39 (3) , 1365-1368
- https://doi.org/10.1103/physreva.39.1365
Abstract
The behavior of aggregates grown using random walkers is shown to be quantified by a unique equation for different variations of the original diffusion-limited aggregation model. Only four parameters (including the fractal dimension) are needed for describing this behavior, each of them having a clear physical significance. Two parameters correspond to two different length scales: the branch width, which is associated with asymptotic behavior, and the seed size, which determines the small-mass behavior.Keywords
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