Affordable Access

Ring Correlations in Random Networks

Authors
Type
Preprint
Publication Date
Submission Date
Identifiers
arXiv ID: 1607.06568
Source
arXiv
License
Yellow
External links

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 lead 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.

Statistics

Seen <100 times