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Large Lattice Simulation of Random Site Percolation

Author

Listed:
  • Shane Macleod

    (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)

Abstract

We simulate systems up to4*1012sites on a square lattice at the percolation threshold,pc=0.592746. We confirmτ=187/91, and report that the correction to scaling exponent,Δ1=0.65±0.05. The mass of the largest and second largest cluster scales with the fractal dimensionality,df=91/48. These exponents, apart from the correction-to-scaling exponent,Δ1, are expected from exact calculations and previous substantial numerical work.

Suggested Citation

  • Shane Macleod & Naeem Jan, 1998. "Large Lattice Simulation of Random Site Percolation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 289-294.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:02:n:s0129183198000212
    DOI: 10.1142/S0129183198000212
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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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