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arXiv · 1607.06568

Ring correlations in random networks

Mahdi Sadjadi·M. F. Thorpe
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Abstract

We examine the correlations between rings in random network glasses in two dimensions as a function of their separation. Initially, we use the topological separation (measured by the number of intervening rings), but this leads to pseudo-long-range correlations due to a lack of topological charge neutrality in the shells surrounding a central ring. This effect is associated with the non-circular nature of the shells. It is, therefore, necessary to use the geometrical distance between ring centers. Hence we find a generalization of the Aboav-Weaire law out to larger distances, with the correlations between rings decaying away when two rings are more than about 3 rings apart.

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Mahdi Sadjadi, M. F. Thorpe. 2016-07-22. Ring correlations in random networks. https://doi.org/10.1103/physreve.94.062304

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