Journal
PHYSICAL REVIEW LETTERS
Volume 103, Issue 25, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.103.255701
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Funding
- NSF [ITR-0325453, CDI-0835706]
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The existence of explosive phase transitions in random (Erdoumls Reacutenyi-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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