Multiplicity of infinite clusters in percolation above six dimensions
- 11 July 1987
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (10) , 3057-3061
- https://doi.org/10.1088/0305-4470/20/10/049
Abstract
The author presents Monte Carlo simulations of site percolation near the percolation threshold in five to seven dimensions. In contrast to lower dimensionalities, more than one spanning cluster is found in a system of size Ld for d>6. These results confirm Coniglio's prediction (1985) that the breakdown of hyperscaling for d>6 is caused by a multiplicity of infinite clusters at the percolation threshold.Keywords
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