Efficient measurement of the percolation threshold for fully penetrable discs
- 11 October 2000
- journal article
- letter
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 33 (42) , L399-L407
- https://doi.org/10.1088/0305-4470/33/42/104
Abstract
We study the percolation threshold for fully penetrable discs by measuring the average location of the frontier for a statistically inhomogeneous distribution of fully penetrable discs. We use two different algorithms to efficiently simulate the frontier, including the continuum analogue of an algorithm previously used for gradient percolation on a square lattice. We find that c = 0.676 339±0.000 004, thus providing an extra significant digit of accuracy to this constant.Keywords
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