XY model in small-world networks

Beom Jun Kim; H. Hong; Petter Holme; Gun Sang Jeon; Petter Minnhagen; M. Y. Choi

doi:10.1103/PhysRevE.64.056135

XY model in small-world networks

Beom Jun Kim, H. Hong, Petter Holme, Gun Sang Jeon, Petter Minnhagen, M. Y. Choi

Department of Physics

Research output: Contribution to journal › Article › peer-review

121 Scopus citations

Abstract

The phase transition in the [formula presented] 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 [formula presented] model.

Original language	English
Pages (from-to)	5
Number of pages	1
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	64
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.64.056135
State	Published - 2001

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title = "XY model in small-world networks",

abstract = "The phase transition in the [formula presented] 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 [formula presented] model.",

author = "Kim, {Beom Jun} and H. Hong and Petter Holme and Jeon, {Gun Sang} and Petter Minnhagen and Choi, {M. Y.}",

year = "2001",

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AU - Hong, H.

AU - Holme, Petter

AU - Jeon, Gun Sang

AU - Minnhagen, Petter

AU - Choi, M. Y.

PY - 2001

Y1 - 2001

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AB - The phase transition in the [formula presented] 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 [formula presented] model.

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DO - 10.1103/PhysRevE.64.056135

M3 - Article

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VL - 64

SP - 5

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 5

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XY model in small-world networks

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