Hierarchical model for the multifractality of diffusion-limited aggregation

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

doi:10.1103/physreva.42.4832

Hierarchical model for the multifractality of diffusion-limited aggregation

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

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

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 language	English
Pages (from-to)	4832-4837
Number of pages	6
Journal	Physical Review A
Volume	42
Issue number	8
DOIs	https://doi.org/10.1103/physreva.42.4832
State	Published - 1990
Externally published	Yes

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title = "Hierarchical model for the multifractality of diffusion-limited aggregation",

abstract = "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-.",

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AB - 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-.

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Hierarchical model for the multifractality of diffusion-limited aggregation

Abstract

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