Orientation of particle attachment and local isotropy in diffusion limited aggregation (DLA)

Chi Hang Lam; H. Kaufman; B. B. Mandelbrot

doi:10.1088/0305-4470/28/7/002

Orientation of particle attachment and local isotropy in diffusion limited aggregation (DLA)

Chi Hang Lam, H. Kaufman, B. B. Mandelbrot

Research output: Journal article publication › Journal article › Academic research › peer-review

9 Citations (Scopus)

Abstract

We simulate 50 off-lattice diffusion limited aggregation (DLA) clusters of one million particles each. The probability distribution of the angle of attachment of arriving particles with respect to the local radial direction is obtained numerically. For increasing cluster size N, the distribution crosses over extremely accurately to a cosine with an amplitude which decreases towards zero as a power-law in N. From this specific viewpoint, asymptotically large DLA clusters are locally isotropic.

Original language	English
Article number	002
Journal	Journal of Physics A: General Physics
Volume	28
Issue number	7
DOIs	https://doi.org/10.1088/0305-4470/28/7/002
Publication status	Published - 1 Dec 1995

ASJC Scopus subject areas

Statistical and Nonlinear Physics
General Physics and Astronomy
Mathematical Physics

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10.1088/0305-4470/28/7/002

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abstract = "We simulate 50 off-lattice diffusion limited aggregation (DLA) clusters of one million particles each. The probability distribution of the angle of attachment of arriving particles with respect to the local radial direction is obtained numerically. For increasing cluster size N, the distribution crosses over extremely accurately to a cosine with an amplitude which decreases towards zero as a power-law in N. From this specific viewpoint, asymptotically large DLA clusters are locally isotropic.",

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AB - We simulate 50 off-lattice diffusion limited aggregation (DLA) clusters of one million particles each. The probability distribution of the angle of attachment of arriving particles with respect to the local radial direction is obtained numerically. For increasing cluster size N, the distribution crosses over extremely accurately to a cosine with an amplitude which decreases towards zero as a power-law in N. From this specific viewpoint, asymptotically large DLA clusters are locally isotropic.

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Orientation of particle attachment and local isotropy in diffusion limited aggregation (DLA)

Abstract

ASJC Scopus subject areas

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