Percolation processes in two dimensions IV. Percolation probability
- 1 May 1976
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 9 (5) , 725-730
- https://doi.org/10.1088/0305-4470/9/5/009
Abstract
For pt.III see ibid., vol.9, p.175. New series data are examined for the percolation probability P(p) for site and bond mixtures in two dimensions. It is concluded that the data are reasonably consistent with the hypothesis that P(p) approximately=B(qc-q)beta as q to qc-with beta a dimensional invariant, beta =0.138+or-0.007 in two dimensions. Estimates of the critical amplitude B are also given. Series data for the mean cluster size S(p) in the high density region are examined and it is tentatively concluded that S(p) approximately=C"(qc-q)- gamma 'as q to qc- and that the data are not inconsistent with the hypothesis gamma '= gamma .Keywords
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