Test of universal finite-size scaling in two-dimensional site percolation

A. Aharony, D. Stauffer

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

Traditional two-scale-factor universality, concerning the number of clusters within a correlation volume near the percolation threshold, is reconfirmed by a comparison of site percolation on square and triangular lattices. We also test universality at the threshold, e.g. of the ratio ξ/L, where ξ is the correlation length and L the lattice size. At the threshold, the result is sensitive to the system's shape and aspect ratio, boundary conditions, the algorithm, the detailed units measuring ξ and L, and possibly other factors as yet unexplored.

Original languageEnglish
Pages (from-to)L301-L306
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number10
DOIs
StatePublished - 21 May 1997
Externally publishedYes

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