Dynamic critical behavior of the 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.67.036118

Dynamic critical behavior of the 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

2 Scopus citations

Abstract

The XY model on small-world networks was studied through the use of the standard Monte Carlo simulation method. At all nonzero values of the rewiring probability P, the finite-temperature transitions were detected by Binder's cumulant, the specific heat, and the order parameter, together with appropriate finite-size scaling forms. The phase transition was shown to be described by the mean-field critical exponents.

Original language	English
Article number	056135
Pages (from-to)	056135/1-056135/5
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	64
Issue number	5 II
DOIs	https://doi.org/10.1103/PhysRevE.67.036118
State	Published - Nov 2001

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10.1103/PhysRevE.67.036118

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title = "Dynamic critical behavior of the XY model in small-world networks",

abstract = "The XY model on small-world networks was studied through the use of the standard Monte Carlo simulation method. At all nonzero values of the rewiring probability P, the finite-temperature transitions were detected by Binder's cumulant, the specific heat, and the order parameter, together with appropriate finite-size scaling forms. The phase transition was shown to be described by the mean-field critical exponents.",

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AU - Jeon, Gun Sang

AU - Minnhagen, Petter

AU - Choi, M. Y.

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AB - The XY model on small-world networks was studied through the use of the standard Monte Carlo simulation method. At all nonzero values of the rewiring probability P, the finite-temperature transitions were detected by Binder's cumulant, the specific heat, and the order parameter, together with appropriate finite-size scaling forms. The phase transition was shown to be described by the mean-field critical exponents.

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Dynamic critical behavior of the XY model in small-world networks

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