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Probability Distribution and Sizes of Spanning Clusters at the Percolation Thresholds

Author

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  • Parongama Sen

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

Abstract

For random percolation atpc, the probability distributionP (n)of the number of spanning clusters(n)has been studied in large-scale simulations. The results are compatible withP(n) ~exp(-an2)for all dimensions. We also study the variation of the average size (mass) of the spanning clusters when there are more than one spanning cluster. While the average size of the spanning clusters scales as usual withLDwhereD=d-β/νfor any number of clusters, it shows a smooth decrease as the number of spanning clusters increases.

Suggested Citation

  • Parongama Sen, 1997. "Probability Distribution and Sizes of Spanning Clusters at the Percolation Thresholds," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 8(02), pages 229-237.
    • Handle: RePEc:wsi:ijmpcx:v:08:y:1997:i:02:n:s0129183197000205
    DOI: 10.1142/S0129183197000205
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