Percolation in Dimensions d≥4

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Physics

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Adler, Joan
Aharony, Amnon

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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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1984-09-01

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Physical Review B

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