Bond percolation in higher dimensions

Eric I. Corwin, Robin Stinchcombe, Michael Thorpe

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1 Scopus citations

Abstract

We collect results for bond percolation on various lattices from two to fourteen dimensions that, in the limit of large dimension d or number of neighbors z, smoothly approach a randomly diluted Erdos-Rényi graph. We include results on bond-diluted hypersphere packs in up to nine dimensions, which show the mean coordination, excess kurtosis, and skewness evolving smoothly with dimension towards the Erdos-Rényi limit.

Original languageEnglish (US)
Article number014102
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume88
Issue number1
DOIs
StatePublished - Jul 3 2013

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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