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Random Site Percolation in Three Dimensions

Author

Listed:
  • Naeem Jan

    (Physics Department, St. Francis Xavier University, Box 5000, Antigonish, Nova Scotia, CANADA B2G 2W5, Canada)

  • Dietrich Stauffer

    (Institute for Theoretical Physics, Cologne University, 50923 Köln, Germany)

Abstract

We simulate sytems up to 10 001 × 10 001 × 10 001 in three dimensions at the percolation thresholdpcof 0.31160. We find that the fractal dimension is≃2.53±0.02, the cluster size distribution exponent, τ, is 2.186±0.002 and an exponent of 0.85 describing how the mass of the clusters scale with rank. Corrections-to-scaling exponents of≃-0.7are observed fornsand for the mass of the largest cluster. We also check the percolation threshold and report good agreement with recent values.

Suggested Citation

  • Naeem Jan & Dietrich Stauffer, 1998. "Random Site Percolation in Three Dimensions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 341-347.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:02:n:s0129183198000261
    DOI: 10.1142/S0129183198000261
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    Cited by:

    1. Stanley, H.Eugene & Andrade, José S. & Havlin, Shlomo & Makse, Hernán A. & Suki, Béla, 1999. "Percolation phenomena: a broad-brush introduction with some recent applications to porous media, liquid water, and city growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 5-16.

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