Probability distribution and sizes of spanning clusters at the percolation thresholds
Journal Article
·
· International Journal of Modern Physics C
- Institute for Theoretical Physics, Koeln (Germany)
For random percolation at p{sub c}, the probability distribution P(n) of the number of spanning clusters (n) has been studied in large-scale simulations. The results are compatible with P(n) {approximately} exp(-an{sup 2}) for all dimensions. We also study the variation of the average size (mass) of the spanning clusters when there are more than one spanning cluster. While the average size of the spanning clusters scales as usual with L{sup D} where D = d-{beta}/v for any number of clusters, it shows a smooth decrease as the number of spanning clusters increases.
- OSTI ID:
- 482183
- Journal Information:
- International Journal of Modern Physics C, Journal Name: International Journal of Modern Physics C Journal Issue: 2 Vol. 8; ISSN 0129-1831; ISSN IJMPEO
- Country of Publication:
- United States
- Language:
- English
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