Directed-bond percolation on hypercubic lattices

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, , Citation J Blease 1977 J. Phys. C: Solid State Phys. 10 925 DOI 10.1088/0022-3719/10/7/004

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

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Abstract

The directed d-weight method is used to obtain the expansion of the mean-size series, S(p), for the simple acyclic hypercubic lattices, to order p9. The following expansion is also derived: pc(d)=1/d+1/2d3+1/d4+3/d5+21/2d6+479/12d7+O(d-8).

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