Finite-size scaling for percolation above six dimensions

Amnon Aharony and Dietrich Stauffer

Physica A: Statistical Mechanics and its Applications, 1995, vol. 215, issue 3, 242-246

Abstract: We consider percolation in d dimensions for finite samples of linear size L. Theoretical arguments are presented to show that for d > 6, the shift in the percolation threshold, pc(L)−pc(∞), behaves like A/L2 + B/Ld3; for periodic boundary conditions, A = 0. These predictions are consistent with recent simulations is seven dimensions.

Date: 1995
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437195000345
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:215:y:1995:i:3:p:242-246

DOI: 10.1016/0378-4371(95)00034-5

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 ().