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Mean-Field and Anomalous Behavior on a Small-World Network

M. B. Hastings
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Abstract

We use scaling results to identify the crossover to mean-field behavior of equilibrium statistical mechanics models on a variant of the small world network. The results are generalizable to a wide-range of equilibrium systems. Anomalous scaling is found in the width of the mean-field region, as well as in the mean-field amplitudes. Finally, we consider non-equilibrium processes.

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M. B. Hastings. 2003-05-01. Mean-Field and Anomalous Behavior on a Small-World Network. https://doi.org/10.1103/physrevlett.91.098701

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