Exact fractals with adjustable fractal and fracton dimensionalities
- 21 October 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (15) , L559-L563
- https://doi.org/10.1088/0305-4470/16/15/002
Abstract
A family of exact fractals is presented. By adjusting two external parameters, a wide range of fractal and fracton dimensionalities can be achieved. This includes the case of fracton dimensionality of 2, which is critical for diffusion.Keywords
This publication has 6 references indexed in Scilit:
- Scaling behavior of diffusion on percolation clustersPhysical Review A, 1983
- Anomalous Diffusion on Percolating ClustersPhysical Review Letters, 1983
- Random walks on fractal structures and percolation clustersJournal de Physique Lettres, 1983
- Diffusion on percolation clusters at criticalityJournal of Physics A: General Physics, 1982
- Density of states on fractals : « fractons »Journal de Physique Lettres, 1982
- Solvable Fractal Family, and Its Possible Relation to the Backbone at PercolationPhysical Review Letters, 1981