The nature of explosive percolation phase transition

Liang Tian, Da Ning Shi*

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

38 Citations (Scopus)


In this Letter, we show that the explosive percolation is a novel continuous phase transition. The order-parameter-distribution histogram at the percolation threshold is studied in Erdős–Rényi networks, scale-free networks, and square lattice. In finite system, two well-defined Gaussian-like peaks coexist, and the valley between the two peaks is suppressed with the system size increasing. This finite-size effect always appears in typical first-order phase transition. However, both of the two peaks shift to zero point in a power law manner, which indicates the explosive percolation is continuous in the thermodynamic limit. The nature of explosive percolation in all the three structures belongs to this novel continuous phase transition. Various scaling exponents concerning the order-parameter-distribution are obtained.

Original languageEnglish
Pages (from-to)286-289
Number of pages4
JournalPhysics Letters A
Issue number4
Early online date25 Nov 2011
Publication statusPublished - 9 Jan 2012

Scopus Subject Areas

  • Physics and Astronomy(all)

User-Defined Keywords

  • Explosive percolation
  • Finite-size effect
  • Order-parameter-distribution
  • Phase transition


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