Ising and Potts models on quenched random gravity graphs

Abstract

We report on single-cluster Monte Carlo simulations of the Ising, 4-state Potts and 10-state Potts models on quenched ensembles of planar, tri-valent (Φ3) random graphs. We confirm that the firstorder phase transition of the 10-state Potts model on regular 2D lattices is softened by the quenched connectivity disorder represented by the random graphs and… (More)

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