ANTI-RED BOND CALCULATION ALGORITHM IN PERCOLATION

Olivier Scholder ()
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Olivier Scholder: Department of Physics, ETHZ, Zürich, Switzerland

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 02, 267-272

Abstract: This paper presents an algorithm, which computes the number of anti-red bonds in a simple cubic lattice (site percolation) for different sizes and densities. Our interest was the fractal dimension of anti-red bonds at the percolation threshold. The value is found to be1.18 ± 0.01. Two different theories proposed by Conigilio resp. Gouyet suggested a fractal dimension of 1.25 resp. 0.9. Thus, we can exclude the theory of Gouyet and are consistent with the one by Coniglio.

Keywords: Percolation; fractal dimension; anti-red bond (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109013595

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