How many correlation lengths for multifractals?

A.-M.S. Tremblay, R.R. Tremblay, G. Albinet and B. Fourcade

Physica A: Statistical Mechanics and its Applications, 1992, vol. 183, issue 4, 398-410

Abstract: It is shown, here in the context of percolation, that one can have multifractal behavior and at the same time a single correlation length. This length sets the scale below which non-trivial scaling behavior occurs and it is controlled by a few relevant operators, as in ordinary critical phenomena. All other correlation lengths may be obtained from simple metric factors. The quantities which lead to an infinite set of exponents are described by a second renormalization group which is slaved to the first one which determines the correlation length. The results are relevant also to the problem of noise in percolating systems.

Date: 1992
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719290291W
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:183:y:1992:i:4:p:398-410

DOI: 10.1016/0378-4371(92)90291-W

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 ().