Skip to main navigation Skip to search Skip to main content

Percolation phenomena in higher dimensions: Approach to the mean-field limit

Research output: Contribution to journalArticlepeer-review

167 Scopus citations

Abstract

Percolation thresholds in two to six dimensions are studied by Monte Carlo methods in order to test Toulouse's recent conjecture that at six dimensions the Bethe lattice description of the threshold becomes exact. The results verify the existence of this critical dimensionality, but are only qualitatively in agreement with the predictions of expansions to 6-ε dimensions.

Original languageEnglish
Pages (from-to)69-72
Number of pages4
JournalPhysical Review Letters
Volume36
Issue number2
DOIs
StatePublished - 1976
Externally publishedYes

Fingerprint

Dive into the research topics of 'Percolation phenomena in higher dimensions: Approach to the mean-field limit'. Together they form a unique fingerprint.

Cite this