A geometrical interpretation of the unusual dynamics of fractals

T. Keyes and T. Ohtsuki

Physica A: Statistical Mechanics and its Applications, 1985, vol. 133, issue 3, 531-538

Abstract: The dimension of a fractal is written as the product of a length dimension and a thickness dimension. Arguments are given that this decomposition is physically meaningful, and it is shown that existing results about unusual dynamics on such structures may be derived very simply using these geometrical concepts. The method is illustrated in detail for singly connected fractals, and for the infinite cluster and the backbone in lattice percolation problems.

Date: 1985
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437185901475
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:133:y:1985:i:3:p:531-538

DOI: 10.1016/0378-4371(85)90147-5

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 ().