Hierarchical model for the multifractality of diffusion-limited aggregation

Jysoo Lee, Shlomo Havlin, H. Eugene Stanley, James E. Kiefer

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


We propose a deterministic model of diffusion-limited aggregation (DLA), based on the concept of an infinite hierarchy of voids connected by narrow channels. This hierarchical model reproduces many features of DLA: (1) The growth-site probability distribution shows multifractal behavior, (2) the minimum growth probability decreases with size L as lnpmin(L)-(lnL)2, and (3) the maximum growth probability scales as pmax(L)Lmin-.

Original languageEnglish
Pages (from-to)4832-4837
Number of pages6
JournalPhysical Review A
Issue number8
StatePublished - 1990
Externally publishedYes


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