Ring correlations in random networks

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.

7 pages, 8 Figures, v2 updated bibliography

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Cited by in corpus (4)

• Ring statistics in 2D-silica: effective temperatures in equilibrium
• Relating local structures, energies, and occurrence probabilities in a two-dimensional silica network
• Refining glass structure in two dimensions
• Realizations of Isostatic Material Frameworks