Open AccessPercolation in dimensionsd ≥ 4
Author(s) -
Joan Adler,
Am Aharony,
A. B. Harris
Publication year - 1984
Publication title -
physical review. b, condensed matter
Language(s) - English
Resource type - Journals
eISSN - 1095-3795
pISSN - 0163-1829
DOI - 10.1103/physrevb.30.2832
Subject(s) - exponent , percolation (cognitive psychology) , physics , percolation threshold , materials science , electrical resistivity and conductivity , quantum mechanics , philosophy , linguistics , neuroscience , biology
In this paper we present extended mean cluster size series for the bond percolation problem for hypercubic lattices in d dimensions and analyze them for 4≤d≤9. Values of the critical exponent γ and the leading correction exponent Δ1 are deduced, and the Δ1 values for d>6 are compared with new analytic results.
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