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.
XY model in small-world networks.
Beom Jun Kim,Hyunsuk Hong,P. Holme,G. Jeon,P. Minnhagen,M. Choi
Published 2001 in Physical review. E, Statistical, nonlinear, and soft matter physics
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- Publication year
2001
- Venue
Physical review. E, Statistical, nonlinear, and soft matter physics
- Publication date
2001-08-24
- Fields of study
Medicine, Physics
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Semantic Scholar, PubMed
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