Homogeneity and spectral dimension of aggregation fractals
- 21 June 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (9) , L487-L489
- https://doi.org/10.1088/0305-4470/17/9/006
Abstract
The fracton or spectral dimension, ds, of two Sutherland type 'ghost' aggregation fractals is obtained (for high space dimension) by a scaling argument. If, as seems probable, these fractals are homogeneous, the results (ds=2ln2/ln3 and ds=4/( square root 17-1)) support recent conjectures that ds is close to 4/3 for all homogeneous fractals. However, they are not consistent with the stronger conjecture that ds is exactly 4/3 for all such fractals.Keywords
This publication has 11 references indexed in Scilit:
- Superuniversal spectral dimension for dilute branched polymers?Journal of Physics A: General Physics, 1984
- Diffusion on lattice animals and percolation clusters: a renormalisation group approachJournal of Physics A: General Physics, 1984
- Spectral Dimension for the Diffusion-Limited Aggregation Model of Colloid GrowthPhysical Review Letters, 1983
- Diffusion and fracton dimensionality on fractals and on percolation clustersJournal of Physics A: General Physics, 1983
- Confirmation of Dynamical Scaling at the Percolation ThresholdPhysical Review Letters, 1983
- Anomalous Diffusion on Percolating ClustersPhysical Review Letters, 1983
- Random walks on fractal structures and percolation clustersJournal de Physique Lettres, 1983
- Density of states on fractals : « fractons »Journal de Physique Lettres, 1982
- Chain Formation of Fine Particle AggregatesNature, 1970
- A theoretical model of floc structureJournal of Colloid and Interface Science, 1967