JETP Letters

, Volume 89, Issue 8, pp 422–426 | Cite as

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

  • A. S. Ioselevich
  • D. S. Lyubshin
Article

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 νB of the backbone in the net-like phase; graph dimensions—dmin of the tree-like phase, and Dmin of the backbone in the net-like phase appear to be universal within the accuracy of our calculations, while the backbone fractal dimension DB is not universal: it depends on the parameter of a model.

PACS numbers

61.43.-j 

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Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  • A. S. Ioselevich
    • 1
    • 2
  • D. S. Lyubshin
    • 1
    • 2
  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia
  2. 2.Moscow Institute of Physics and TechnologyMoscowRussia

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