Minimum growth probability of diffusion-limited aggregates

S. Schwarzer; J. Lee; A. Bunde; S. Havlin; H. E. Roman; H. E. Stanley

doi:10.1103/physrevlett.65.603

Minimum growth probability of diffusion-limited aggregates

S. Schwarzer, J. Lee, A. Bunde, S. Havlin, H. E. Roman, H. E. Stanley

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Abstract

We calculate the minimum growth probability for diffusion-limited aggregation (DLA) as a function of the cluster mass M, and find a novel singularity of the form -lnpmin(M)(lnM)y with y2. We interpret this result in terms of a simple model for DLA structure, which is characterized by a hierarchy of self-similar voids separated by channels whose diameter increases slower than the cluster diameter.

Original language	English
Pages (from-to)	603-606
Number of pages	4
Journal	Physical Review Letters
Volume	65
Issue number	5
DOIs	https://doi.org/10.1103/physrevlett.65.603
State	Published - 1990
Externally published	Yes

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AU - Bunde, A.

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AU - Stanley, H. E.

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Minimum growth probability of diffusion-limited aggregates

Abstract

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