Absence of the nonpercolating phase for percolation on the nonplanar Hanoi network

Takehisa Hasegawa, Tomoaki Nogawa

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We investigate bond percolation on the nonplanar Hanoi network (HN-NP), which was studied previously. We calculate the fractal exponent of a subgraph of the HN-NP, which gives a lower bound for the fractal exponent of the original graph. This lower bound leads to the conclusion that the original system does not have a nonpercolating phase, where only finite-size clusters exist for p>0, or equivalently, that the system exhibits either the critical phase, where infinitely many infinite clusters exist, or the percolating phase, where a unique giant component exists. Monte Carlo simulations support our conjecture.

Original languageEnglish
Article number032810
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume87
Issue number3
DOIs
Publication statusPublished - 2013 Mar 18

ASJC Scopus subject areas

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

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