XY model in small-world networks

2001/08/24 by Beom Jun Kim, H. Hong, Petter Holme +3 · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.dis-nn #cond-mat.supr-con

paper · pdf · doi:10.1103/physreve.64.056135

published as Phys. Rev. E 64, 056135 (2001). · 5 pages, accepted in PRE

arxiv created 2001/08/24 · arxiv updated 2009/11/30

Abstract

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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