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arXiv · 0903.2089

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

A. S. Ioselevich·D. S. Lyubshin
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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 $\nu_B$ 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.

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A. S. Ioselevich, D. S. Lyubshin. 2009-03-12. Universality and non-universality in behavior of self-repairing random networks. https://doi.org/10.1134/s0021364009080104

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