Cascading dynamics on random networks: crossover in phase transition

Run-Ran Liu, Wen-Xu Wang, Ying-Cheng Lai, Bing-Hong Wang

Research output: Contribution to journalArticlepeer-review

61 Citations (Scopus)


In a complex network, random initial attacks or failures can trigger subsequent failures in a cascading manner, which is effectively a phase transition. Recent works have demonstrated that in networks with interdependent links so that the failure of one node causes the immediate failures of all nodes connected to it by such links, both first-and second-order phase transitions can arise. Moreover, there is a crossover between the two types of transitions at a critical system-parameter value. We demonstrate that these phenomena can occur in the more general setting where no interdependent links are present. A heuristic theory is derived to estimate the crossover and phase-transition points, and a remarkable agreement with numerics is obtained.

Original languageEnglish
Article number026110
Number of pages5
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Issue number2
Publication statusPublished - 16 Feb 2012


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