Construction and analysis of random networks with explosive percolation.

نویسندگان

  • Eric J Friedman
  • Adam S Landsberg
چکیده

The existence of explosive phase transitions in random (Erdös Rényi-type) networks has been recently documented by Achlioptas, D'Souza, and Spencer [Science 323, 1453 (2009)] via simulations. In this Letter we describe the underlying mechanism behind these first-order phase transitions and develop tools that allow us to identify (and predict) when a random network will exhibit an explosive transition. Several interesting new models displaying explosive transitions are also presented.

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عنوان ژورنال:
  • Physical review letters

دوره 103 25  شماره 

صفحات  -

تاریخ انتشار 2009