Mean-Field and Anomalous Behavior on a Small-World Network
- 27 August 2003
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 91 (9) , 098701
- https://doi.org/10.1103/physrevlett.91.098701
Abstract
We consider various equilibrium statistical mechanics models with combined short- and long-range interactions and identify the crossover to mean-field behavior, finding anomalous scaling in the width of the mean-field region, as well as in the mean-field amplitudes. We then show that this model enables us, in many cases, to determine the universal critical properties of systems on a small-world network. Finally, we consider nonequilibrium processes.Keywords
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