Minimum growth probability of diffusion-limited aggregates

Authors :: Schwarzer, S
Lee, J
Bunde, A
Havlin, S
Roman, H
Stanley, H
Schwarzer S.
Lee J.
Bunde A.
Havlin S.
Roman H. E.
Stanley H. E.
Schwarzer, S
Lee, J
Bunde, A
Havlin, S
Roman, H
Stanley, H
Schwarzer S.
Lee J.
Bunde A.
Havlin S.
Roman H. E.
Stanley H. E.
Publication Year :: 1990
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. © 1990 The American Physical Society.

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