Critical phase of bond percolation on growing networks

Takehisa Hasegawa, Koji Nemoto

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

The critical phase of bond percolation on the random growing tree is examined. It is shown that the root cluster grows with the system size N as Nψ and the mean number of clusters with size s per node follows a power function ns s-τ in the whole range of open bond probability p. The exponent τ and the fractal exponent ψ are also derived as a function of p and the degree exponent γ and are found to satisfy the scaling relation τ=1+ ψ-1. Numerical results with several network sizes are quite well fitted by a finite-size scaling for a wide range of p and γ, which gives a clear evidence for the existence of a critical phase.

Original languageEnglish
Article number051105
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume81
Issue number5
DOIs
Publication statusPublished - 2010 May 7

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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