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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…

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.

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    Title
    • Bond Percolation in Higher Dimensions
    Contributors
    Date Created
    2013-09-18
    Resource Type
  • Text
    • Collections this item is in
    ASU Scholarship Showcase
    Identifier
    • Digital object identifier: 10.1103/PhysRevE.88.014102
    • International standard serial number
      0277-3791
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    • "Copyright 2013 by the American Physical Society" - view article as published at http://pre.aps.org/abstract/PRE/v88/i1/e014102

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    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

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