| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Phase Transition in Recovery Process of Complex Networks |
| Wen Xiao1, Chao Yang2, Ya-Ping Yang1, Yu-Guang Chen1** |
1Key Laboratory for Advanced Microstructure Materials (Ministry of Education), School of Physics Science and Engineering, Tongji University, Shanghai 200092
2Key Laboratory of Road and Traffic Engineering, Tongji University, Shanghai 201804
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| Cite this article: |
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Wen Xiao, Chao Yang, Ya-Ping Yang et al 2017 Chin. Phys. Lett. 34 058901 |
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Abstract The dynamic characteristic of complex network failure and recovery is one of the main research topics in complex networks. Real world systems such as traffic jams and Internet recovery could be described by the complex network theory. We propose a model to study the recovery process in complex networks. Two different recovery mechanisms are considered in three kinds of networks: external recovery and internal recovery. By simulating the process of the nodes recovery in networks, it is found that the system exhibits the feature of first-order phase transition only when the external recovery is considered. Internal recovery cannot induce such a kind of transitions. As external recovery and internal recovery coexist on networks, the systems will retain the most efficient part of external recovery and internal recovery. Meanwhile, a hysteresis could be observed when increasing or decreasing the failure probability. Finally, a largest degree node protection strategy is proposed for improving the robustness of networks.
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Received: 13 December 2016
Published: 29 April 2017
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| PACS: |
89.75.Hc
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(Networks and genealogical trees)
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05.70.Fh
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(Phase transitions: general studies)
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89.75.Fb
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(Structures and organization in complex systems)
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| Fund: Supported by the National Natural Science foundation of China under Grant No 11474221. |
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