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• W2287175199 abstract "Consider growing a network, in which every new connection is made between two disconnected nodes. At least one node is chosen randomly from a subset consisting of $g$ fraction of the entire population in the smallest clusters. Here we show that this simple strategy for improving connection exhibits a phase transition barely studied before, namely a hybrid percolation transition exhibiting the properties of both first-order and second-order phase transitions. The cluster size distribution of finite clusters at a transition point exhibits power-law behavior with a continuously varying exponent $tau$ in the range $2 < tau(g) le 2.5$. This pattern reveals a necessary condition for a hybrid transition in cluster aggregation processes, which is comparable to the power-law behavior of the avalanche size distribution arising in models with link-deleting processes in interdependent networks." @default.
• W2287175199 created "2016-06-24" @default.
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• W2287175199 date "2016-01-15" @default.
• W2287175199 modified "2023-10-18" @default.
• W2287175199 title "Hybrid Percolation Transition in Cluster Merging Processes: Continuously Varying Exponents" @default.
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• W2287175199 doi "https://doi.org/10.1103/physrevlett.116.025701" @default.
• W2287175199 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/26824550" @default.
• W2287175199 hasPublicationYear "2016" @default.
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