Large lattice random site percolation

Naeem Jan

Physica A: Statistical Mechanics and its Applications, 1999, vol. 266, issue 1, 72-75

Abstract: We simulate the two dimensional (2d), simple square and three-dimensional (3d), simple cubic random site percolation systems for L=2000000 (2d) and L=10001 (3d) at the percolation thresholds for these systems. We report excellent agreement with the Fisher exponent, τ, in 2d, with the proposed exact value 187/91 and good agreement with other good high quality simulation results in 3d of 2.186. We have also computed how the first, second, third,…, largest clusters scale with L at the percolation threshold. These clusters all scale with the same fractal dimensionality as the largest cluster.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:266:y:1999:i:1:p:72-75

DOI: 10.1016/S0378-4371(98)00577-9

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