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Phys. Rev. A 39, 1365–1368 (1989)

Quantitative growth law of diffusion-limited aggregates and their small-mass behavior

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G. Daccord
Dowell-Schlumberger, Zone Industrielle, Molina la Chazotte, Boîte Postale No. 90, 42003 Saint-Etienne CEDEX 1 , France

Received 29 September 1988; published in the issue dated February 1989

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.

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.39.1365
DOI:
10.1103/PhysRevA.39.1365
PACS:
05.90.+m, 47.20.Hw