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 | |
| State | Published - Jul 3 2013 |
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ASJC Scopus subject areas
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability
Cite this
Bond percolation in higher dimensions. / Corwin, Eric I.; Stinchcombe, Robin; Thorpe, Michael.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 88, No. 1, 014102, 03.07.2013.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Bond percolation in higher dimensions
AU - Corwin, Eric I.
AU - Stinchcombe, Robin
AU - Thorpe, Michael
PY - 2013/7/3
Y1 - 2013/7/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84880236208&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84880236208&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.88.014102
DO - 10.1103/PhysRevE.88.014102
M3 - Article
VL - 88
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 1
M1 - 014102
ER -