Percolation in two-dimensional lattices
- 1 May 1975
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 8 (5) , 683-696
- https://doi.org/10.1088/0305-4470/8/5/005
Abstract
Using a definition of percolation suitable for finite lattices the authors closely examine the percolation of such lattices. By extrapolation they calculate accurate values for the critical density pc and discuss the size dependence of percolation. With the aid of a computer they enumerate exactly a certain class of site percolation configurations of finite square lattices with up to 81 sites. Rapidly convergent extrapolation procedures allow accurate determination of the critical density for percolation of the corresponding infinite lattice. We find pc=0.5898+or-0.0008 for the site problem on a square lattice.Keywords
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