DIFFUSION-LIMITED AGGREGATION ON A FAMILY OF SIERPINSKI CARPETS

Authors
KIM IM KIM MH YOON DH
Citation
Im. Kim et al., DIFFUSION-LIMITED AGGREGATION ON A FAMILY OF SIERPINSKI CARPETS, Journal of the Korean Physical Society, 26(5), 1993, pp. 562-564
Citations number
10
Categorie Soggetti
Physics
Journal title
Journal of the Korean Physical Society → ACNP
ISSN journal
03744884
Volume
26
Issue
5
Year of publication
1993
Pages
562 - 564
Database
ISI
SICI code
0374-4884(1993)26:5<562:DAOAFO>2.0.ZU;2-D
Abstract
The fractal dimension of a diffusion-limited aggregation (DIA) on a fa mily of Sierpinski carpets is studied by analytical and numerical meth ods. Following a mean-field calculation, we obtain the dependence of t he fractal dimension of DLA on both the fractal dimension of carpet an d the anomalous diffusion exponent. The numerical simulations on carpe ts are in good agreement with the proposed formula.