What is the relevant length scale when studying percolating clusters: a critical study

P. Gadenne, M. Gadenne, Y. Yagil and G. Deutscher

Physica A: Statistical Mechanics and its Applications, 1994, vol. 207, issue 1, 228-233

Abstract: Percolation clusters are known to be well described by the percolation correlation length ξ. In fact, this length is defined by the geometry of the clusters, and thus can only give an account of zero frequency (time independent) physical properties, such as dc conductivity or fractal morphology of 2D or 3D clusters. Taking examples on optical properties of granular metal films close to the percolation threshold, we show that the relevant length scale L is not known well. It depends explicitly on the kind of measurement, and on the frequency ω at which the physical properties are observed. We conclude that, in the region where L(ω)<ξ, only a scaling model can give a full account of the experimental results, and that, in the region where L(ω)>ξ, an averaged beheviour can also be used.

Date: 1994
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437194903778
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:207:y:1994:i:1:p:228-233

DOI: 10.1016/0378-4371(94)90377-8

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 ().