The branching structure of diffusion-limited aggregates
- 1 July 1997
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 39 (1) , 43-48
- https://doi.org/10.1209/epl/i1997-00311-6
Abstract
I analyze the topological structures generated by diffusion-limited aggregation (DLA), using the recently developed "branched growth model". The computed bifurcation number B for DLA in two dimensions is B ~ 4.9, in good agreement with the numerically obtained result of B ~ 5.2. In high dimensions, B -> 3.12; the bifurcation ratio is thus a decreasing function of dimensionality. This analysis also determines the scaling properties of the ramification matrix, which describes the hierarchy of branches.Keywords
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This publication has 21 references indexed in Scilit:
- Renormalization theory of stochastic growthPhysical Review E, 1997
- The fixed-scale transformation approach to fractal growthReviews of Modern Physics, 1995
- Diffusion-limited aggregation as branched growthPhysical Review Letters, 1994
- Self-similarity of the branching structure in very large DLA clusters and other branching fractalsJournal of Physics A: General Physics, 1994
- Self-similarity and structure of DLA and viscous fingering clustersJournal of Physics A: General Physics, 1989
- Fractal growth viscous fingers: quantitative characterization of a fluid instability phenomenonNature, 1985
- Fractal growth of copper electrodepositsNature, 1984
- Fractal Dimension of Dielectric BreakdownPhysical Review Letters, 1984
- Diffusion-controlled cluster formation in 2—6-dimensional spacePhysical Review A, 1983
- Diffusion-Limited Aggregation, a Kinetic Critical PhenomenonPhysical Review Letters, 1981