Beom Jun Kim, H. Hong, Petter Holme, Gun Sang Jeon, Petter Minnhagen, M. Y. Choi
Published 2001-08-24Version 1
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.
Comments: 5 pages, accepted in PRE
Journal: Phys. Rev. E 64, 056135 (2001).
Inhomogeneities on all scales at a phase transition altered by disorder
Hamiltonian dynamics and geometry of phase transitions in classical XY models
Phase transitions in one dimension: are they all driven by domain walls?
