Finite-size scaling for percolation above six dimensions

Amnon Aharony, Dietrich Stauffer

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

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/L d 3; for periodic boundary conditions, A = 0. These predictions are consistent with recent simulations is seven dimensions.

Original languageEnglish
Pages (from-to)242-246
Number of pages5
JournalPhysica A: Statistical Mechanics and its Applications
Volume215
Issue number3
DOIs
StatePublished - 1 May 1995
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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