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

125 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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10.1103/PhysRevE.64.056135

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@article{d49b9647c6804e6bbc7af47159d415cd,

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",

doi = "10.1103/PhysRevE.64.056135",

language = "English",

volume = "64",

pages = "5",

journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",

issn = "1063-651X",

publisher = "American Physical Society",

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T1 - XY model in small-world networks

AU - Kim, Beom Jun

AU - Hong, H.

AU - Holme, Petter

AU - Jeon, Gun Sang

AU - Minnhagen, Petter

AU - Choi, M. Y.

PY - 2001

Y1 - 2001

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0035510374

U2 - 10.1103/PhysRevE.64.056135

DO - 10.1103/PhysRevE.64.056135

M3 - Article

AN - SCOPUS:0035510374

SN - 1063-651X

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

ER -

XY model in small-world networks

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