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| VOLUME 89 | ISSUE 8 |
PAGE 486
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| Universality and non-universality in behavior of self-repairing random networks |
A. S. Ioselevich, D. S. Lyubshin
Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia
Moscow Institute of Physics and Technology, 141700 Moscow, Russia
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PACS: 61.43.-j
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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 νB of the backbone in the net-like phase; graph
dimensions -  of the tree-like phase, and  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.
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