Multiple phase transition in the non-symmetrical interdependent networks

Analysis of the robustness of interdependent networks has attracted much attention in recent years. In practice the interdependent networks usually are non-symmetrical in terms of size. However, the behavior of interdependent networks in this case has not been well addressed. We adopt a simplified s...

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Bibliographic Details
Published in:Physica A 2020-10, Vol.556, p.124822, Article 124822
Main Authors: Gao, Yanli, Chen, Shiming, Zhou, Jie, Zhang, Jingjing, Stanley, H.E.
Format: Article
Language:English
Subjects:
Interdependent networks
Percolation theory
Phase transition
Robustness analysis
Self-consistent probabilities method
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Summary:Analysis of the robustness of interdependent networks has attracted much attention in recent years. In practice the interdependent networks usually are non-symmetrical in terms of size. However, the behavior of interdependent networks in this case has not been well addressed. We adopt a simplified self-consistent probabilities method to provide a straightforward framework to study the percolation behavior of such non-symmetrical interdependent networks. We define γ as the ratio of the sizes of two layers within an interdependent network to characterize the unsymmetrical property. We find a rich phase diagram in the plane composed of critical threshold, pc, and γ. As γ increases from zero to infinity, the phase transition behavior of the giant component in network under random attack shows a change from second-order (0
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2020.124822