Non-universal conductivity critical exponents in anisotropic percolating media: a new interpretation

A. Celzard and J.F. Marêché

Physica A: Statistical Mechanics and its Applications, 2003, vol. 317, issue 3, 305-312

Abstract: The problem of non-universality of the conductivity critical exponents in anisotropic percolating systems is discussed in this paper. The authors bring simple arguments and gather experimental evidences to show that universality is observable in anisotropic media, and that its occurrence depends in the first place on the behaviour of the conductivity anisotropy. If the latter is constant within a non-vanishing region close to the percolation threshold, a single critical exponent is obtained, otherwise different apparent (and hence non-universal) exponents are derived. This finding supports the early assumptions of Smith and Lobb (Phys. Rev. B 20 (1979) 3653) concerning the narrowing of the critical region in anisotropic percolating media. Obtaining an isotropic exponent is thus the first requirement for the latter to be universal. If such an exponent is still non-universal, physical reasons other than anisotropic properties should be invoked.

Keywords: Percolation; Critical exponents; Anisotropy; Universality (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437102013675
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:317:y:2003:i:3:p:305-312

DOI: 10.1016/S0378-4371(02)01367-5

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 ().