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Site-bond-correlated percolation and a sublattice dilute Potts model at finite temperatures

1984; American Physical Society; Volume: 29; Issue: 9 Linguagem: Inglês

10.1103/physrevb.29.5109

1095-3795

Chin‐Kun Hu,

Complex Network Analysis Techniques

It is shown that the partition function of a sublattice dilute $q$-state Potts model (SDQPM) for even positive integer $q$ at finite temperatures is the generating function of a site-bond-correlated percolation model (SBCPM) which favors subgraphs with larger numbers of disconnected finite clusters. The phase diagrams for the SBCPM are obtained from the corresponding phase diagrams for the SDQPM. A device is introduced to establish the connection between the SDQPM for $q\ensuremath{\rightarrow}1$ and a site-bond (random) percolation model. The results of this work contain those of some previous papers as special cases.