Fluctuations of the Order Parameter in Critical Complex Networks
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概要
- 論文の詳細を見る
The generalized Gumbel distribution function (GGDF) has been conjectured to describe fluctuating order parameters of a large class of finite critical systems. We study probability distribution functions (PDFs) of rescaled order parameters in finite complex networks near their critical points to clarify whether this conjecture holds for any critical system. Our numerical results show that the PDF for fitness-model networks near the critical point, which has the scale-free property, cannot be described by the GGDF with the real parameter $a$ equal to $\pi/2$ while the PDF for non-scale-free Erdős–Rényi random graphs obeys it. We also discuss the origin of the discrepancy with the GGDF in the scale-free network.
- Physical Society of Japanの論文
- 2009-12-15
著者
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Yakubo Kousuke
Department Of Applied Physics Graduate School Of Engineering Hokkaido University
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Mitobe Mutsumi
Department Of Applied Physics Graduate School Of Engineering Hokkaido University
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Mitobe Mutsumi
Department of Applied Physics, Graduate School of Engineering, Hokkaido University, Sapporo 060-8628
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Yakubo Kousuke
Department of Applied Physics, Graduate School of Engineering, Hokkaido University, Sapporo 060-8628
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