Ring correlations in random networks

Mahdi Sadjadi, Michael Thorpe

Research output: Contribution to journalArticle

6 Scopus citations

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 noncircular 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 three rings apart.

Original languageEnglish (US)
Article number062304
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume94
Issue number6
DOIs
StatePublished - Dec 9 2016

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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