TY - JOUR
T1 - Ring correlations in random networks
AU - Sadjadi, Mahdi
AU - Thorpe, Michael
N1 - Funding Information:
Support from NSF (USA) DMS 1564468 is gratefully acknowledged.
Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/12/9
Y1 - 2016/12/9
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevE.94.062304
DO - 10.1103/PhysRevE.94.062304
M3 - Article
AN - SCOPUS:85006136696
VL - 94
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 6
M1 - 062304
ER -