Are the tails of percolation thresholds Gaussians?
Abstract
The probability distribution of percolation thresholds in finite lattices was 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 the Monte Carlo data, we show evidence on square lattices that this question is numerically not yet answered at all.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- March 2004
- DOI:
- 10.1088/0305-4470/37/12/001
- arXiv:
- arXiv:cond-mat/0308566
- Bibcode:
- 2004JPhA...37.3743D
- Keywords:
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- Condensed Matter - Statistical Mechanics
- E-Print:
- 7 pages including 3 figures