Volume 84, Number 3, November 2008
|Number of page(s)||5|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||17 October 2008|
Critical behavior of the XY model on static scale-free networks
Department of Physics, Korea University - Seoul 136-713, Korea
2 Department of Physics, Chosun University - Gwangju 501-759, Korea
Corresponding author: email@example.com
Accepted: 19 September 2008
The critical behaviors of the equilibrium model on correlated and uncorrelated networks are known to differ, and the critical behavior of the XY model on correlated scale-free networks has been examined. Here, we study the XY model on uncorrelated scale-free networks with various degree exponents λ of the power law degree distribution P(k)~k, where the degree k is the number of neighborhood. For λ > 5, we find that the critical exponents of the XY model on uncorrelated networks are identical to those of the standard mean field. These results vary from those derived from correlated networks.
PACS: 64.60.Cn – Order-disorder transformations / 64.60.F- – Equilibrium properties near critical points, critical exponents / 05.10.Ln – Monte Carlo methods
© EPLA, 2008
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