Non-Fractal Critical Clusters at the Percolation Transition(General)

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概要

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• We study statistical fluctuations of fractality of infinitely spanning clusters in bond percolation systems at the percolation threshold p_c formed on two-dimensional square lattices by introducing a quantity Γ representing non-fractality of a given cluster. The distribution function of Γ reveals that most of critical clusters do not take fractal structures in the thermodynamic limit while typical structure in all possible clusters having various values of Γ is fractal (Γ = 0). The existence of non-fractal critical clusters is also supported by the system size dependence of the strength of the fluctuations in fractal dimensions of clusters. It is plausible that such a large fluctuation in fractality is a common feature of disorder-induced critical phenomena.

• 社団法人日本物理学会の論文
• 2007-03-15

著者

• Yakubo K

  Department Of Applied Physics Graduate School Of Engineering Hokkaido University

• Yakubo K.

  Department Of Applied Physics Graduate School Of Engineering Hokkaido University

• MITOBE M

  Department of Applied Physics, Graduate School of Engineering, Hokkaido University

• Mitobe M

  Department Of Applied Physics Graduate School Of Engineering Hokkaido University

• Mitobe M.

  Department of Applied Physics, Graduate School of Engineering, Hokkaido University

関連論文

• Non-Fractal Critical Clusters at the Percolation Transition(General)
• Correlation Exponent and Anomalously Localized States at the Critical Point of the Anderson Transition(Condensed Matter : Electronic Structure, Electrical, Magnetic and Optical Properties)

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