Abstract
The quenched averaged percolation problem of a lattice with a given structure is analyzed. The structure is described by the static structure factorS(q)∼q −ain the regionq → 0. As a result of the renormalization group, it follows that the critical behavior fora < 2 is the same as in the random percolation. In the case ofa=2 second universality class withη=0 andν=1/2+ɛ/8+ɛ 2/32 is predicted.
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Schulz, M. Renormalization group approach for the site-bond percolation in structured stochastic environments. J Stat Phys 67, 1109–1116 (1992). https://doi.org/10.1007/BF01049011
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DOI: https://doi.org/10.1007/BF01049011