科研之友
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摘要
Bootstrap percolation is a well-known model to study the spreading of rumors, new products or innovations on social networks. The empirical studies show that the community structure is ubiquitous among various social networks. Thus, studying the bootstrap percolation on the complex networks with communities can bring us new and important insights into the spreading dynamics in social networks. This has attracted a lot of scientists' attention recently. In this letter, we study the bootstrap percolation on Erdos-Renyi networks with communities and observed second-order, hybrid (both second and first order) and multiple hybrid phase transitions, which is rare in natural system. Moreover, we have analytically solved this system and obtained the phase diagram, which is further justified well by the corresponding simulations.
