Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2002-03-08
Phys. Rev. E 65, 047104 (2002)
Physics
Condensed Matter
Disordered Systems and Neural Networks
5 pages, 4 figures, Phys. Rev. E (in press)
Scientific paper
10.1103/PhysRevE.65.047104
We investigate global phase coherence in a system of coupled oscillators on a 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. Nature of the phase transition is also discussed.
Choi Min-Young
Hong Hanjing
Kim Beom Jun
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