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

Preprint

23 April 2003

preprint
Published by arXiv in arXiv

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.

Keywords

SMALL WORLD NETWORK
EQUILIBRIUM SYSTEMS
ANOMALOUS BEHAVIOR
SCALING RESULTS
WORLD NETWORK
USE SCALING
MEAN FIELD
BEHAVIOR

All Related Versions

Version 1, 2003-04-23, ArXiv
Version 2, 2003-05-01, ArXiv
Published version: Physical Review Letters, 91 (9), 098701.

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