XY model in small-world networks
Statistical Mechanics
2007-05-23 v1 Disordered Systems and Neural Networks
Superconductivity
Abstract
The phase transition in the XY model on one-dimensional small-world networks is investigated by means of Monte-Carlo simulations. It is found that long-range order is present at finite temperatures, even for very small values of the rewiring probability, suggesting a finite-temperature transition for any nonzero rewiring probability. Nature of the phase transition is discussed in comparison with the globally-coupled XY model.
Cite
@article{arxiv.cond-mat/0108392,
title = {XY model in small-world networks},
author = {Beom Jun Kim and H. Hong and Petter Holme and Gun Sang Jeon and Petter Minnhagen and M. Y. Choi},
journal= {arXiv preprint arXiv:cond-mat/0108392},
year = {2007}
}
Comments
5 pages, accepted in PRE