Fractal dimensions of zero-noise diffusion-limited aggregation

M. T. Batchelor; B. I. Henry

doi:10.1016/0378-4371(92)90513-P

Fractal dimensions of zero-noise diffusion-limited aggregation

M. T. Batchelor^*, B. I. Henry

^*Corresponding author for this work

Mathematical Sciences Institute

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

5 Citations (Scopus)

Abstract

We investigate the scaling of cluster size with mass for zero-noise needle-star DLA clusters on the square (d = 2) and cubic (d = 3) lattices. We find that the clusters are essentially planar (D = 2). However, estimates of the isotropic self-similar fractal dimension via the radius of gyration yield D = 1.5 for d = 2 and D {reversed tilde equals} 1.7 for d = 3. The same scaling exponents are derived from an algebraic model. We show that the planar result D = 2 is consistent with self-affine fractal geometry.

Original language	English
Pages (from-to)	113-116
Number of pages	4
Journal	Physica A: Statistical Mechanics and its Applications
Volume	191
Issue number	1-4
DOIs	https://doi.org/10.1016/0378-4371(92)90513-P
Publication status	Published - 15 Dec 1992

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title = "Fractal dimensions of zero-noise diffusion-limited aggregation",

abstract = "We investigate the scaling of cluster size with mass for zero-noise needle-star DLA clusters on the square (d = 2) and cubic (d = 3) lattices. We find that the clusters are essentially planar (D = 2). However, estimates of the isotropic self-similar fractal dimension via the radius of gyration yield D = 1.5 for d = 2 and D {reversed tilde equals} 1.7 for d = 3. The same scaling exponents are derived from an algebraic model. We show that the planar result D = 2 is consistent with self-affine fractal geometry.",

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AU - Henry, B. I.

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N2 - We investigate the scaling of cluster size with mass for zero-noise needle-star DLA clusters on the square (d = 2) and cubic (d = 3) lattices. We find that the clusters are essentially planar (D = 2). However, estimates of the isotropic self-similar fractal dimension via the radius of gyration yield D = 1.5 for d = 2 and D {reversed tilde equals} 1.7 for d = 3. The same scaling exponents are derived from an algebraic model. We show that the planar result D = 2 is consistent with self-affine fractal geometry.

AB - We investigate the scaling of cluster size with mass for zero-noise needle-star DLA clusters on the square (d = 2) and cubic (d = 3) lattices. We find that the clusters are essentially planar (D = 2). However, estimates of the isotropic self-similar fractal dimension via the radius of gyration yield D = 1.5 for d = 2 and D {reversed tilde equals} 1.7 for d = 3. The same scaling exponents are derived from an algebraic model. We show that the planar result D = 2 is consistent with self-affine fractal geometry.

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Fractal dimensions of zero-noise diffusion-limited aggregation

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