Potts Model On Random Trees

Details Potts Model On Random Trees Potts Model On Random Trees

2004-11-09

arxiv.org/abs/cond-mat/0411226v1

J Stat Mech P02006 (2005)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 3 figures

Scientific paper

10.1088/1742-5468/2005/02/P02006

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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