Fractal structure of drift-diffusion-limited aggregation: Renormalization-group approach

Takashi Nagatani
Phys. Rev. A 37, 3514 – Published 1 May 1988
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Abstract

A real-space renormalization-group method is applied to the drift-diffusion-limited aggregation proposed by Meakin [Phys. Rev. B 28, 5221 (1983)]. The effects of particle drift on the diffusion-limited aggregation (DLA) are investigated. The aggregation process is transformed from DLA to the ballistic process with increasing drift effect. It is found that at a finite drift velocity the aggregate is compact with a surface fractal dimension between the DLA and ballistic aggregation results with increasing drift effect. The crossover from a fractal structure at short length scales to a compact structure at longer length scales is shown. The multifractal scaling properties of the growth probability distribution on the growing perimeter are found to be described by the set of generalized dimensions and the α-f spectra.

  • Received 21 September 1987

DOI:https://doi.org/10.1103/PhysRevA.37.3514

©1988 American Physical Society

Authors & Affiliations

Takashi Nagatani

  • College of Engineering, Shizuoka University, Hamamatsu 432, Japan

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Issue

Vol. 37, Iss. 9 — May 1988

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