Effects of Boundary Conditions on the Critical Spanning Probability

Muktish Acharyya () and Dietrich Stauffer ()
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Muktish Acharyya: Institute for Theoretical Physics, University of Cologne, D-50923, Cologne, Germany
Dietrich Stauffer: Institute for Theoretical Physics, University of Cologne, D-50923, Cologne, Germany

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 04, 643-647

Abstract: The fractions of samples spanning a lattice at its percolation threshold are found by computer simulation of random site-percolation in two- and three-dimensional hypercubic lattices using different boundary conditions. As a byproduct we findpc=0.311605(5)in the cubic lattice.

Keywords: Percolation; Free Boundaries; Mixed Boundaries; Helical Boundaries; Threshold (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198000534

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