XY model in small-world networks.

  title={XY model in small-world networks.},
  author={B. J. Kim and Hyunsuk Hong and Petter Holme and Gun Sang Jeon and Petter Minnhagen and M.Y. Choi},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={64 5 Pt 2},
  • B. J. Kim, H. Hong, M. Choi
  • Published 24 August 2001
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
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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