English

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

Materials Science 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/0602286,
  title  = {Monte Carlo Simulation of Small-World Models with Weak Long-Range Interactions},
  author = {X. Zhang and M. A. Novotny},
  journal= {arXiv preprint arXiv:cond-mat/0602286},
  year   = {2007}
}

Comments

5 pages, 5 figures; Submitted to PRE

R2 v1 2026-07-22T11:28:34.273Z