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Tricritical point in explosive percolation

Author

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  • N. A. M. Araujo
  • J. S. Andrade Jr
  • R. M. Ziff
  • H. J. Herrmann

Abstract

The suitable interpolation between classical percolation and a special variant of explosive percolation enables the explicit realization of a tricritical percolation point. With high-precision simulations of the order parameter and the second moment of the cluster size distribution a fully consistent tricritical scaling scenario emerges yielding the tricritical crossover exponent $1/\varphi_t=1.8\pm0.1$.

Suggested Citation

  • N. A. M. Araujo & J. S. Andrade Jr & R. M. Ziff & H. J. Herrmann, "undated". "Tricritical point in explosive percolation," Working Papers ETH-RC-12-006, ETH Zurich, Chair of Systems Design.
    • Handle: RePEc:stz:wpaper:eth-rc-12-006
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    Cited by:

    1. Teruyoshi Kobayashi, 2015. "Trend-driven information cascades on random networks," Discussion Papers 1529, Graduate School of Economics, Kobe University.
    2. Bastas, N. & Giazitzidis, P. & Maragakis, M. & Kosmidis, K., 2014. "Explosive percolation: Unusual transitions of a simple model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 54-65.

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    Keywords

    connectivity;

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