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

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

2003-04-23

arxiv.org/abs/cond-mat/0304530v2

Phys. Rev. Lett. 91, 098701 (2003).

Physics

Condensed Matter

Statistical Mechanics

4 pages, 0 figures; reference added

Scientific paper

10.1103/PhysRevLett.91.098701

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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