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Comparative Study Of Spanning Cluster Distributions In Different Dimensions

Author

Listed:
  • PARONGAMA SEN

    (Department of Physics, Surendranath College, 24/2 Mahatma Gandhi Road, Calcutta 700009, India)

Abstract

The probability distributions of the masses of the clusters spanning from top to bottom of a percolating lattice at the percolation threshold are obtained in all dimensions, from two to five. The first two cumulants and the exponents for the universal scaling functions are shown to have simple power law variations with the dimensionality. The cases where multiple spanning clusters occur are discussed separately and compared.

Suggested Citation

  • Parongama Sen, 1999. "Comparative Study Of Spanning Cluster Distributions In Different Dimensions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 10(04), pages 747-752.
    • Handle: RePEc:wsi:ijmpcx:v:10:y:1999:i:04:n:s0129183199000565
    DOI: 10.1142/S0129183199000565
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