Threshold and scaling in percolation with restricted valence

Kertesz, J. ; Chakrabarti, B. K. ; Duarte, J. A. M. S. (1982) Threshold and scaling in percolation with restricted valence Journal of Physics A: Mathematical and General, 15 (1). L13-L18. ISSN 0305-4470

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Monte Carlo calculations have been carried out to study the problem of percolation with restricted valence on the square and simple cubic lattices. The results are in full agreement with the expectations: there is no transition when the restriction (nu) is equal to two, while even for nu=3 the transition occurs and the correlation length exponent, determined via finite size scaling, is within the numerical accuracy the same as that in the unrestricted random percolation. The maximum random occupancy as a function of the restriction is also determined.

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