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 language | English (US) |
|---|---|
| Article number | 062304 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 94 |
| Issue number | 6 |
| DOIs | |
| State | Published - Dec 9 2016 |
Fingerprint
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
Cite this
Ring correlations in random networks. / Sadjadi, Mahdi; Thorpe, Michael.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 94, No. 6, 062304, 09.12.2016.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Ring correlations in random networks
AU - Sadjadi, Mahdi
AU - Thorpe, Michael
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.
UR - http://www.scopus.com/inward/record.url?scp=85006136696&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85006136696&partnerID=8YFLogxK
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 -