English

Potts Model On Random Trees

Statistical Mechanics 2009-11-10 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/0411226,
  title  = {Potts Model On Random Trees},
  author = {G. C. M. A. Ehrhardt and M. Marsili},
  journal= {arXiv preprint arXiv:cond-mat/0411226},
  year   = {2009}
}

Comments

10 pages, 3 figures