Description
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-Renyi 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-Renyi limit.
Copyright Statement
Details
Title
- Bond Percolation in Higher Dimensions
Contributors
- Corwin, Eric I. (Author)
- Stinchcombe, Robin (Author)
- Thorpe, Michael (Author)
- College of Liberal Arts and Sciences (Contributor)
Date Created
The date the item was original created (prior to any relationship with the ASU Digital Repositories.)
2013-09-18
Resource Type
Collections this item is in
Identifier
- Digital object identifier: 10.1103/PhysRevE.88.014102
- Identifier TypeInternational standard serial numberIdentifier Value0277-3791
Note
- "Copyright 2013 by the American Physical Society" - view article as published at http://pre.aps.org/abstract/PRE/v88/i1/e014102, opens in a new window
Citation and reuse
Cite this item
This is a suggested citation. Consult the appropriate style guide for specific citation guidelines.
Corwin, E. I., Stinchcombe, R., & Thorpe, M. F. (2013). Bond percolation in higher dimensions. Physical Review E, 88(1), 014102. http://link.aps.org/doi/10.1103/PhysRevE.88.014102