Are the Tails of Percolation Thresholds Gaussians ?

Details Are the Tails of Percolation Thresholds Gaussians ? Are the Tails of Percolation Thresholds Gaussians ?

2003-08-27

arxiv.org/abs/cond-mat/0308566v1

Physics

Condensed Matter

Statistical Mechanics

7 pages including 3 figures

Scientific paper

10.1088/0305-4470/37/12/001

The probability distribution of percolation thresholds in finite lattices were first believed to follow a normal Gaussian behaviour. With increasing computer power and more efficient simulational techniques, this belief turned to a stretched exponential behaviour, instead. Here, based on a further improvement of Monte Carlo data, we show evidences that this question is not yet answered at all.

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