Bond percolation in higher dimensions

Eric I. Corwin; Robin Stinchcombe; Michael Thorpe

doi:10.1103/PhysRevE.88.014102

Bond percolation in higher dimensions

Eric I. Corwin, Robin Stinchcombe, Michael Thorpe

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Article number	014102
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	88
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.88.014102
State	Published - Jul 3 2013

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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title = "Bond percolation in higher dimensions",

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-R{\'e}nyi 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-R{\'e}nyi limit.",

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