Avoiding a spanning cluster in percolation models.

  title={Avoiding a spanning cluster in percolation models.},
  author={YoungTak Cho and S. Hwang and H. J. Herrmann and Byungnam Kahng},
  volume={339 6124},
When dynamics in a system proceeds under suppressive external bias, the system can undergo an abrupt phase transition, as can happen when an epidemic spreads. Recently, an explosive percolation (EP) model was introduced to understand such phenomena. The order of the EP transition has not been clarified in a unified framework covering low-dimensional systems and the mean-field limit. We introduce a stochastic model in which a rule for dynamics is designed to avoid the formation of a spanning… CONTINUE READING
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