Bond percolation in higher dimensions.
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 Erdős-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 Erdős-Rényi limit.
Department of Physics, University of Oregon, Eugene, Oregon 97403, USA. eric.corwin@gmail.com
Eric I
EI
Corwin
Robin
R
Stinchcombe
M F
MF
Thorpe