Abstract
The authors study the cluster structure resulting from a nearest-neighbour random walk embedded in a d-dimensional space. Each bond visited by the random walks is regarded as belonging to the cluster. The diffusion exponent and the fracton dimensional of the fractal cluster in d=3 is found to be d w=3.5+or-0.1 and d=0.57+or-0.02, using a method of exact enumeration of random walks on these fractals.
| Original language | English |
|---|---|
| Article number | 006 |
| Pages (from-to) | L849-L853 |
| Journal | Journal of Physics A: General Physics |
| Volume | 17 |
| Issue number | 15 |
| DOIs | |
| State | Published - 1984 |
| Externally published | Yes |