Fractal dimensions of zero-noise diffusion-limited aggregation

M.T. Batchelor and B.I. Henry

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 113-116

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 ⋍ 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.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:113-116

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

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