XY model in small-world networks

Beom Jun Kim, H. Hong, Petter Holme, Gun Sang Jeon, Petter Minnhagen, M. Y. Choi

Research output: Contribution to journalArticlepeer-review

121 Scopus citations


The phase transition in the [formula presented] 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 [formula presented] model.

Original languageEnglish
Pages (from-to)5
Number of pages1
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number5
StatePublished - 2001


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