title: 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 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.
authors.affiliation: Department of Physics, Arizona State University, Tempe, Arizona 85287-1504, USA.
authors.forename: Mahdi
authors.initials: M
authors.lastname: Sadjadi
authors.affiliation: Department of Physics, Arizona State University, Tempe, Arizona 85287-1504, USA and Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Rd, Oxford OX1 3NP, United Kingdom.
authors.forename: M F
authors.initials: MF
authors.lastname: Thorpe