INFLUENCE OF BOUNDARY CONDITIONS ON THE FRACTION OF SPANNING CLUSTERS

Matt Ford, D. L. Hunter and Naeem Jan ()
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Matt Ford: Physics Department, St. Francis Xavier University, Antigonish, Box 5000, Nova Scotia, Canada B2G 2W5, Canada
D. L. Hunter: Physics Department, St. Francis Xavier University, Antigonish, Box 5000, Nova Scotia, Canada B2G 2W5, Canada
Naeem Jan: Physics Department, St. Francis Xavier University, Antigonish, Box 5000, Nova Scotia, Canada B2G 2W5, Canada

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 01, 183-188

Abstract: We use the Hoshen–Kopelman algorithm with the Nakanashi method of recycling redundant labels to measure the fraction of spanning configurations,R(pc), at and nearpc, for random site percolation in two and three dimensions with different boundary conditions. For the square and cubic lattices we find thatR(pc)is0.50and0.28for free edges and0.64 (2-d)and0.56 (3-d)for both helical and periodic boundary conditions. The error bars are of the order of±0.01for these results.

Keywords: Percolation; Critical threshold; Fraction of spanning configurations; Hoshen–Kopelman and Nakanashi algorithms (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S0129183199000127

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