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Universality and non-universality in behavior of self-repairing random networks

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Abstract

We numerically study one-parameter family of random single-cluster systems. A finite-concentration topological phase transition from the net-like to the tree-like phase (the latter is without a backbone) is present in all models of the class. Correlation radius index ν B of the backbone in the net-like phase; graph dimensions—d min of the tree-like phase, and D min of the backbone in the net-like phase appear to be universal within the accuracy of our calculations, while the backbone fractal dimension D B is not universal: it depends on the parameter of a model.

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 117940, Russia

    A. S. Ioselevich & D. S. Lyubshin

  2. Moscow Institute of Physics and Technology, Moscow, 141700, Russia

    A. S. Ioselevich & D. S. Lyubshin

Authors
  1. A. S. Ioselevich
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  2. D. S. Lyubshin
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Ioselevich, A.S., Lyubshin, D.S. Universality and non-universality in behavior of self-repairing random networks. Jetp Lett. 89, 422–426 (2009). https://doi.org/10.1134/S0021364009080104

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  • DOI: https://doi.org/10.1134/S0021364009080104

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