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Calculation of Percolation Thresholds in High Dimensions for FCC, BCC and Diamond Lattices

Steven C. van der Marck ()
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Steven C. van der Marck: SIEP Research and Technical Services, P. O. Box 60, 2280 AB Rijswijk, The Netherlands

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 04, 529-540

Abstract: Site and bond percolation thresholds are calculated for the face centered cubic, body centered cubic and diamond lattices in four, five and six dimensions. The results are used to study the behavior of percolation thresholds as a functions of dimension. It is shown that the predictions from a recently proposed invariant for percolation thresholds are not satisfactory for these lattices.

Keywords: Percolation Threshold; High Dimension; Lattice; FCC; BCC; Diamond (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198000431

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