Monte Carlo Simulation of Small-World Models with Weak Long-Range Interactions

2006/02/12 by X. Zhang, Zhang, X., M. A. Novotny +1
Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.cond-mat/0602286

5 pages, 5 figures; Submitted to PRE

arxiv created 2006/02/12 · arxiv updated 2009/12/01

Abstract

Large-scale Monte Carlo simulations, together with scaling, are used to obtain the critical behavior of the Hastings long-range model and two corresponding models based on small-world networks. These models have combined short- and long-range interactions. For all three models, the critical scaling behavior predicted by Hastings [Phys. Rev. Lett. 91, 098701] is verified.

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