XY model in small-world networks

Details XY model in small-world networks XY model in small-world networks

2001-08-24

arxiv.org/abs/cond-mat/0108392v1

Phys. Rev. E 64, 056135 (2001).

Physics

Condensed Matter

Statistical Mechanics

5 pages, accepted in PRE

Scientific paper

10.1103/PhysRevE.64.056135

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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