The critical behavior of the XY model on small-world network is investigated by means of dynamic Monte Carlo simulations. We use the short-time relaxation scheme, i.e., the critical behavior is studied from the nonequilibrium relaxation to equilibrium. Static and dynamic critical exponents are extracted through the use of the dynamic finite-size scaling analysis. It is concluded that the dynamic universality class at the transition is of the mean-field nature. We also confirm numerically that the value of dynamic critical exponent is independent of the rewiring probability P for P > 0.03.
@article{arxiv.cond-mat/0301510,
title = {Dynamic critical behavior of the XY model in small-world networks},
author = {Kateryna Medvedyeva and Petter Holme and Petter Minnhagen and Beom Jun Kim},
journal= {arXiv preprint arXiv:cond-mat/0301510},
year = {2009}
}