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Fractal dimensions of zero-noise diffusion-limited aggregation

โœ Scribed by M.T. Batchelor; B.I. Henry

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
265 KB
Volume
191
Category
Article
ISSN
0378-4371

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โœฆ Synopsis

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 = 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.

๐Ÿ“œ SIMILAR VOLUMES

Growth and form of zero-noise diffusion-
Growth and form of zero-noise diffusion-limited-aggregation on the cubic lattice
โœ M.T. Batchelor; B.I. Henry ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 924 KB

The growth and form of zero-noise DLA clusters on a cubic lattice is investigated. Numerical simulations reveal a stable cluster consisting of six fourfold symmetric (almost planar) arms with a staircase structure along each arm. Empirical expressions are obtained for; the shape of the arms in the v