Anisotropic Growth of the Generalized Diffusion-Limited Aggregation Clusters on a Square Lattice

Hiroyuki Ohtsuki; Mitsugu Matsushita; Yoshinori Hayakawa

doi:10.1143/JPSJ.57.4086

Anisotropic Growth of the Generalized Diffusion-Limited Aggregation Clusters on a Square Lattice

Hiroyuki Ohtsuki, Mitsugu Matsushita, Yoshinori Hayakawa

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

Abstract

Computer simulations have been performed to confirm predictions of the scaling theory which describes crossover behavior from isotropic to anisotropic cluster growth for the generalized diffusion-limited aggregation (η-model) on a square lattice. Results for the generalized diffusion-limited aggregation with η ≦ 2 are found to be in qualitative agreement with the theoretical predictions. However, those with η = 3 are inconsistent with the theory.

Original language	English
Pages (from-to)	4086-4089
Number of pages	4
Journal	journal of the physical society of japan
Volume	57
Issue number	12
DOIs	https://doi.org/10.1143/JPSJ.57.4086
Publication status	Published - 1988 Jan 1

ASJC Scopus subject areas

Physics and Astronomy(all)

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title = "Anisotropic Growth of the Generalized Diffusion-Limited Aggregation Clusters on a Square Lattice",

abstract = "Computer simulations have been performed to confirm predictions of the scaling theory which describes crossover behavior from isotropic to anisotropic cluster growth for the generalized diffusion-limited aggregation (η-model) on a square lattice. Results for the generalized diffusion-limited aggregation with η ≦ 2 are found to be in qualitative agreement with the theoretical predictions. However, those with η = 3 are inconsistent with the theory.",

author = "Hiroyuki Ohtsuki and Mitsugu Matsushita and Yoshinori Hayakawa",

year = "1988",

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PY - 1988/1/1

Y1 - 1988/1/1

N2 - Computer simulations have been performed to confirm predictions of the scaling theory which describes crossover behavior from isotropic to anisotropic cluster growth for the generalized diffusion-limited aggregation (η-model) on a square lattice. Results for the generalized diffusion-limited aggregation with η ≦ 2 are found to be in qualitative agreement with the theoretical predictions. However, those with η = 3 are inconsistent with the theory.

AB - Computer simulations have been performed to confirm predictions of the scaling theory which describes crossover behavior from isotropic to anisotropic cluster growth for the generalized diffusion-limited aggregation (η-model) on a square lattice. Results for the generalized diffusion-limited aggregation with η ≦ 2 are found to be in qualitative agreement with the theoretical predictions. However, those with η = 3 are inconsistent with the theory.

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Anisotropic Growth of the Generalized Diffusion-Limited Aggregation Clusters on a Square Lattice

Abstract

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