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Anti-Red Bond Calculation Algorithm In Percolation

Author

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  • OLIVIER SCHOLDER

    (Department of Physics, ETHZ, Zürich, Switzerland)

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.

Suggested Citation

  • Olivier Scholder, 2009. "Anti-Red Bond Calculation Algorithm In Percolation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(02), pages 267-272.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:02:n:s0129183109013595
    DOI: 10.1142/S0129183109013595
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