Abstract
A microcanonical simulation of the q=5 Potts model on the quenched isotropically site-diluted square and Penrose lattices is performed. Analysis of the simulation data show a first-order phase transition which terminates at a critical point for dilutions in the range p c ⩽ p⩽1 ( p=1, pure system). The critical dilutions are p c =0.974(2) for the N=32 2 square lattice, and p c =0.986(2) for the N=988 Penrose lattice. The critical point is conjectured to be in a new universality class.
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