Fluctuations in the Ising spin model on a sparse random graph

Details Fluctuations in the Ising spin model on a sparse random graph Fluctuations in the Ising spin model on a sparse random graph

2008-11-13

arxiv.org/abs/0811.2071v1

Physics

Mathematical Physics

19, 0 figures

Scientific paper

We compute the fluctuations of the magnetization and of the multi-overlaps for the dilute mean field ferromagnet, in the high temperature region. The rescaled magnetization tends to a centered Gaussian variable with variance diverging at the critical line. The rescaled multi-overlaps also tend to centered independent Gaussian variables, but their covariance remain finite at the critical line.

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