Universal Behavior for Bond Percolation
Statistical Mechanics
2013-08-09 v2
Abstract
We collect together results for bond percolation on various lattices from two to fourteen dimensions which, in the limit of large dimension or number of neighbors , smoothly approach a randomly diluted Erd\H{o}s-R\'enyi graph. We include new results on bond diluted hyper-sphere packs in up to nine dimensions, which show the mean coordination, excess kurtosis and skewness evolving smoothly with dimension towards the Erd\H{o}s-R\'enyi limit.
Cite
@article{arxiv.1304.3399,
title = {Universal Behavior for Bond Percolation},
author = {Eric I. Corwin and Robin Stinchcombe and M. F. Thorpe},
journal= {arXiv preprint arXiv:1304.3399},
year = {2013}
}
Comments
6 pages, 5 figures