期刊
NEW JOURNAL OF PHYSICS
卷 20, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/aadceb
关键词
community structure; percolation; external field; resilience; spatial networks
资金
- BIU Center for Research in Applied Cryptography and Cyber Security
- Italy-Israel project OPERA
- Israel-Italian collaborative project NECST
- Israel Science Foundation
- ONR
- Japan Science Foundation
- BSF-NSF
- DTRA [HDTRA-1-10-1-0014]
- National Natural Science Foundation of China [61403171, 71403105, 2015M581738, 1501100B, 71690242, 91546118]
- Key Research Program of Frontier Sciences, CAS [QYZDJ-SSW-SYS019]
- Planning and Budgeting Committee of the Council for Higher Education of Israel
Many real systems such as, roads, shipping routes, and infrastructure systems can be modeled based on spatially embedded networks. The inter-links between two distant spatial networks, such as those formed by transcontinental airline flights, play a crucial role in optimizing communication and transportation over such long distances. Still, little is known about how inter-links affect the structural resilience of such systems. Here, we develop a framework to study the structural resilience of interlinked spatially embedded networks based on percolation theory. We find that the inter-links can be regarded as an external field near the percolation phase transition, analogous to a magnetic field in a ferromagnetic-paramagnetic spin system. By defining the analogous critical exponents delta and gamma, we find that their values for various inter-links structures follow Widom's scaling relations. Furthermore, we study the optimal robustness of our model and compare it with the analysis of real-world networks. The framework presented here not only facilitates the understanding of phase transitions with external fields in complex networks but also provides insight into optimizing real-world infrastructure networks.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据