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The Migdal-Kadanoff (1976) infinitesimal renormalisation group is employed to study the site bond correlated percolation problem, in a ferromagnetic and antiferromagnetic lattice gas. The general phase diagram shows that percolation is favoured by ferromagnetic interaction, while inhibited by antiferromagnetic interaction. Moreover, the lattice gas critical point is never a percolation point in the antiferromagnetic case, while it is a percolation point in the ferromagnetic case for a particular range of bond probability p B .
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Coniglio et al. (1981) studied this question.
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