COMPARATIVE STUDY OF SPANNING CLUSTER DISTRIBUTIONS IN DIFFERENT DIMENSIONS

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

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 04, 747-752

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.

Keywords: Universal scaling functions; Boundary conditions; Multiple scanning clusters (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S0129183199000565

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