Percolation transition in correlated static model

Details Percolation transition in correlated static model Percolation transition in correlated static model

2008-02-19

arxiv.org/abs/0802.2644v1

J. Korean Phys. Soc. 52, S145 (2008)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

We introduce a correlated static model and investigate a percolation transition. The model is a modification of the static model and is characterized by assortative degree-degree correlation. As one varies the edge density, the network undergoes a percolation transition. The percolation transition is characterized by a weak singular behavior of the mean cluster size and power-law scalings of the percolation order parameter and the cluster size distribution in the entire non-percolating phase. These results suggest that the assortative degree-degree correlation generates a global structural correlation which is relevant to the percolation critical phenomena of complex networks.

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