Percolation theory at the critical dimension

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, , Citation I W Essam et al 1978 J. Phys. A: Math. Gen. 11 1983 DOI 10.1088/0305-4470/11/10/016

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1 Dept. of Math., Univ. of London, London, UK

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0305-4470/11/10/1983

Abstract

Corrections to scaling at the critical dimension have been calculated from the phi 3 field theory. Numerical calculations based upon series expansions for the mean cluster size in percolation theory are shown to be consistent with an asymptotic behaviour of the type found for the susceptibility in the n=0 limit of the phi 3 model.

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10.1088/0305-4470/11/10/016