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Potts Model On Random Trees

G. C. M. A. Ehrhardt·M. Marsili
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Abstract

We study the Potts model on locally tree-like random graphs of arbitrary degree distribution. Using a population dynamics algorithm we numerically solve the problem exactly. We confirm our results with simulations. Comparisons with a previous approach are made, showing where its assumption of uniform local fields breaks down for networks with nodes of low degree.

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G. C. M. A. Ehrhardt, M. Marsili. 2004-11-09. Potts Model On Random Trees. https://doi.org/10.1088/1742-5468%2F2005%2F02%2Fp02006

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