DIFFUSION-LIMITED AGGREGATION ON PENROSE LATTICES

Authors
LIU ZY LIU YY TIAN DC XIA HB JIANG Q
Citation
Zy. Liu et al., DIFFUSION-LIMITED AGGREGATION ON PENROSE LATTICES, Journal of physics. Condensed matter, 6(22), 1994, pp. 4037-4042
Citations number
16
Categorie Soggetti
Physics, Condensed Matter
Journal title
Journal of physics. Condensed matter → ACNP
ISSN journal
09538984
Volume
6
Issue
22
Year of publication
1994
Pages
4037 - 4042
Database
ISI
SICI code
0953-8984(1994)6:22<4037:DAOPL>2.0.ZU;2-H
Abstract
We simulated the diffusion-limited aggregation (DLA) on a pentagonal l attice and on an octagonal lattice; the fractal dimensions of the DLA on these two lattices are found to be 1.53 and 1.57 respectively, exhi biting a weak lattice dependence. We also calculate the vibrational de nsities of states for the two DLA clusters; the fracton dimensions of the two DLA clusters appear to follow d(s) = 2d(f)/(d(f) + 1).