Contraction rate of diffusion-limited aggregation

Y. Miyagawa; H. Honjo; H. Katsuragi

doi:10.1016/S0022-0248(02)00841-2

Contraction rate of diffusion-limited aggregation

Y. Miyagawa, H. Honjo, H. Katsuragi

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

2 Citations (Scopus)

Abstract

We have simulated off-lattice 2-dimensional diffusion-limited aggregation (DLA) and have made the growth of the DLA discrete by introducing a discrete time, defined as the time when a new longer branch appears for the first time. From our analysis, we have found that the fractal dimension of DLA can be represented by log2/log(3/2) = 1.71. This result implies that the contraction rate of 2-dimensional DLA is 2/3.

Original language	English
Pages (from-to)	287-291
Number of pages	5
Journal	Journal of Crystal Growth
Volume	240
Issue number	1-2
DOIs	https://doi.org/10.1016/S0022-0248(02)00841-2
Publication status	Published - Apr 2002

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Inorganic Chemistry
Materials Chemistry

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title = "Contraction rate of diffusion-limited aggregation",

abstract = "We have simulated off-lattice 2-dimensional diffusion-limited aggregation (DLA) and have made the growth of the DLA discrete by introducing a discrete time, defined as the time when a new longer branch appears for the first time. From our analysis, we have found that the fractal dimension of DLA can be represented by log2/log(3/2) = 1.71. This result implies that the contraction rate of 2-dimensional DLA is 2/3.",

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AB - We have simulated off-lattice 2-dimensional diffusion-limited aggregation (DLA) and have made the growth of the DLA discrete by introducing a discrete time, defined as the time when a new longer branch appears for the first time. From our analysis, we have found that the fractal dimension of DLA can be represented by log2/log(3/2) = 1.71. This result implies that the contraction rate of 2-dimensional DLA is 2/3.

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