Universality at the three-dimensional percolation threshold

D. Stauffer, J. Adler, A. Aharony

Research output: Contribution to journalArticlepeer-review

Abstract

The fraction of samples spanning a lattice at its percolation threshold is found via simulations of bond and site-bond percolation to have a universal value of about 0.42 in three dimensions. The ratio of shift (of the finite to infinite size threshold) to width of the threshold distribution is also compatible with universality. Lattices with up to 10013 sites and/or very good statistics were needed to obtain clear results in these Monte Carlo tests; preliminary studies with smaller lattices were inconclusive.

Original languageEnglish
Article number003
Pages (from-to)L475-L480
JournalJournal of Physics A: Mathematical and General
Volume27
Issue number13
DOIs
StatePublished - 1994

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