XY model in small-world networks
Beom Jun Kim, H. Hong, Petter Holme, Gun Sang Jeon, Petter Minnhagen, M. Y. Choi
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.
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