XY model in small-world networks - art. no. 056135

Authors
Kim, BJ Hong, H Holme, P Jeon, GS Minnhagen, P Choi, MY
Citation
Bj. Kim et al., XY model in small-world networks - art. no. 056135, PHYS REV E, 6405(5), 2001, pp. 6135
Citations number
31
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6405
Issue
5
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200111)6405:5<6135:XMISN->2.0.ZU;2-C
Abstract
The phase transition in the XY model on one-dimensional small-world network s is investigated by means of Monte Carlo simulations. It is found that lon g-range order is present at finite temperatures, even for very small values of the rewiring probability, suggesting a finite-temperature transition fo r any nonzero rewiring probability. Nature of the phase transition is discu ssed in comparison with the globally coupled XY model.