XY model in small-world networks

Beom Jun Kim (Umea Univ.); Gun Sang Jeon (Seoul); H. Hong (Seoul Natl. Univ.); M.Y. Choi (Seoul); Petter Holme (Umea); Petter Minnhagen (Umea)

arxiv: cond-mat/0108392 · v1 · submitted 2001-08-24 · ❄️ cond-mat.stat-mech · cond-mat.dis-nn· cond-mat.supr-con

XY model in small-world networks

Beom Jun Kim (Umea Univ.) , H. Hong (Seoul Natl. Univ.) , Petter Holme (Umea) , Gun Sang Jeon (Seoul) , Petter Minnhagen (Umea) , M.Y. Choi (Seoul) This is my paper

classification ❄️ cond-mat.stat-mech cond-mat.dis-nncond-mat.supr-con

keywords modeltransitionnetworksphaseprobabilityrewiringsmall-worldcomparison

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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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XY model in small-world networks

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