Revisiting Finite Size Effect of Percolation in Degree Correlated Networks

In this study, we investigate bond percolation in networks that have the Poisson degree distribution and a nearest-neighbor degree–degree correlation. Previous numerical studies on percolation critical behaviors of degree-correlated networks remain controversial. We perform finite-size scaling for t...

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Bibliographic Details
Published in:Journal of the Physical Society of Japan 2022-04, Vol.91 (4), p.044002
Main Authors: Mizutaka, Shogo, Hasegwa, Takehisa
Format: Article
Language:English
Subjects:
Clusters
Networks
Percolation
Size effects
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Summary:In this study, we investigate bond percolation in networks that have the Poisson degree distribution and a nearest-neighbor degree–degree correlation. Previous numerical studies on percolation critical behaviors of degree-correlated networks remain controversial. We perform finite-size scaling for the peak values of the second-largest cluster size and the mean cluster size and find a large finite-size effect when a network has a strong degree–degree correlation. Evaluating the size dependence of estimated critical exponents carefully, we demonstrate that the bond percolation in the networks exhibits the mean-field critical behavior, independent of the strength of their nearest-neighbor degree correlations.
ISSN:0031-9015
1347-4073
DOI:10.7566/JPSJ.91.044002