Percolation Phenomena in Low and High Density Systems

Abstract

We consider the 2D quenched–disordered q–state Potts ferromagnets and show that in the translation invariant measure, averaged over the disorder, at self–dual points any amalgamation of q − 1 species will fail to percolate despite an overall (high) density of 1 − q−1. Further, in the dilute bond version of these systems, if the system is just above… (More)

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