Abstract
We present a cluster growth model for trees (random aggregates without loops). The intrinsic dimension dl and fractal dimension df are adjustable. We study the skeletons of trees embedded in d=2, and find that the intrinsic dimension of a skeleton is dls=1 for dldlc1.65, and dls1+dl-dlc for dldlc. Thus, for 1dldlc these trees are finitely ramified, and for dlcdl2 infinitely ramified. The possibility that structures are fractals in l space and compact in r space also is discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 3829-3831 |
| Number of pages | 3 |
| Journal | Physical Review A |
| Volume | 32 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1985 |
| Externally published | Yes |