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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2009, Volume 89, Issue 8, Pages 486–490
(Mi jetpl415)
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This article is cited in 1 scientific paper (total in 1 paper)
METHODS OF THEORETICAL PHYSICS
Universality and non-universality in behavior of self-repairing random networks
A. S. Ioselevichab, D. S. Lyubshinab a Moscow Institute of Physics and Technology
b Landau Institute for Theoretical Physics, Russian Academy of Sciences
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 $\nu_B$ 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.
Received: 11.03.2009
Citation:
A. S. Ioselevich, D. S. Lyubshin, “Universality and non-universality in behavior of self-repairing random networks”, Pis'ma v Zh. Èksper. Teoret. Fiz., 89:8 (2009), 486–490; JETP Letters, 89:8 (2009), 422–426
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https://www.mathnet.ru/eng/jetpl415 https://www.mathnet.ru/eng/jetpl/v89/i8/p486
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Abstract page: | 203 | Full-text PDF : | 64 | References: | 44 |
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