Phase ordering on small-world networks with nearest-neighbor edges
Disordered Systems and Neural Networks
2009-11-07 v1
Abstract
We investigate global phase coherence in a system of coupled oscillators on a small-world networks constructed from a ring with nearest-neighbor edges. The effects of both thermal noise and quenched randomness on phase ordering are examined and compared with the global coherence in the corresponding \xy model without quenched randomness. It is found that in the appropriate regime phase ordering emerges at finite temperatures, even for a tiny fraction of shortcuts. Nature of the phase transition is also discussed.
Cite
@article{arxiv.cond-mat/0203177,
title = {Phase ordering on small-world networks with nearest-neighbor edges},
author = {H. Hong and M. Y. Choi and Beom Jun Kim},
journal= {arXiv preprint arXiv:cond-mat/0203177},
year = {2009}
}
Comments
5 pages, 4 figures, Phys. Rev. E (in press)