Phase ordering on small-world networks with nearest-neighbor edges

H. Hong, M. Y. Choi, and Beom Jun Kim
Phys. Rev. E 65, 047104 – Published 8 April 2002
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Abstract

We investigate global phase coherence in a system of coupled oscillators on small-world networks constructed from a ring with nearest-neighbor edges. The effects of both thermal noise and quenched randomness on phase ordering are examined and compared with the global coherence in the corresponding XY model without quenched randomness. It is found that in the appropriate regime phase ordering emerges at finite temperatures, even for a tiny fraction of shortcuts. The nature of the phase transition is also discussed.

  • Received 7 November 2001

DOI:https://doi.org/10.1103/PhysRevE.65.047104

©2002 American Physical Society

Authors & Affiliations

H. Hong* and M. Y. Choi

  • Department of Physics, Seoul National University, Seoul 151-747, Korea

Beom Jun Kim

  • Department of Molecular, Science and Technology, Ajou University, Suwon 442-749, Korea

  • *Present address: School of Physics, Korea Institute for Advanced Study, Seoul 130-012, Korea.

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Vol. 65, Iss. 4 — April 2002

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