XYmodel in small-world networks
- 30 October 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 64 (5) , 056135
- https://doi.org/10.1103/physreve.64.056135
Abstract
The phase transition in the 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 model.
Keywords
All Related Versions
This publication has 27 references indexed in Scilit:
- Incipient spanning cluster on small-world networksEurophysics Letters, 2001
- Scientific collaboration networks. II. Shortest paths, weighted networks, and centralityPhysical Review E, 2001
- Scientific collaboration networks. I. Network construction and fundamental resultsPhysical Review E, 2001
- Network Robustness and Fragility: Percolation on Random GraphsPhysical Review Letters, 2000
- Small-world phenomena in physics: the Ising modelJournal of Physics A: General Physics, 2000
- First-order transition in small-world networksEurophysics Letters, 2000
- Erratum: Small-World Networks: Evidence for a Crossover Picture [Phys. Rev. Lett. 82, 3180 (1999)]Physical Review Letters, 1999
- Small-World Networks: Evidence for a Crossover PicturePhysical Review Letters, 1999
- Size Scaling for Infinitely Coordinated SystemsPhysical Review Letters, 1982
- Ordering, metastability and phase transitions in two-dimensional systemsJournal of Physics C: Solid State Physics, 1973