Fractal dimension of the trunk of a diffusion limited aggregation cluster

P. Pikhitsa

Physica A: Statistical Mechanics and its Applications, 1993, vol. 196, issue 3, 317-319

Abstract: The mean-field approximation (the Flory method) is used to obtain the fractal dimension of the trunk of a diffusion limited aggregation (DLA) cluster. The screening length (the characteristic length of a void) of the cluster is larger than in the case of growing percolation clusters in which intersections are forbidden. It makes the trunk of the DLA cluster comparatively more straight. The fractal dimension Df is found to be Df = (1 + 14d2)/[1 + 18d(d + 1)] in d-dimensional space. The limit Df = 2 takes place at the upper critical dimension dc = ∞, which is expected for DLA clusters.

Date: 1993
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719390197C
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:196:y:1993:i:3:p:317-319

DOI: 10.1016/0378-4371(93)90197-C

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().