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Multifractal scaling of 3D diffusion-limited aggregation

โœ Scribed by Stefan Schwarzer; Shlomo Havlin; H.Eugene Stanley

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

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โœฆ Synopsis

We study the multifractal (MF) properties of the set of growth probabilities {p,} for 3D off-lattice diffusion-limited aggregation (DLA). We find that: (i) the {p,} display MF scaling for all moments-in contrast to 2D DLA, where one observes a "phase transition" in the MF spectrum for negative moments; (ii) multifractality is also displayed by the p, located in a shell of reduced radius x E r/R,, where R, is the radius of gyration of the cluster and r the radius of the shell; (iii) the average value a_ of a = -In p/In M in a shell of reduced radius n in a cluster of mass M is a function that does not depend on the cluster mass but only on x.

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