Ring correlations in random networks

Mahdi Sadjadi, Michael Thorpe

Research output: Contribution to journalArticle

6 Citations (Scopus)

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

Fingerprint

Random Networks
Ring
rings
Shell
Neutrality
Long-range Correlations
Two Dimensions
Charge
Necessary
glass

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 journalArticle

@article{18e62293e7e14e5a8fde7c92c5e09d04,
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.",
author = "Mahdi Sadjadi and Michael Thorpe",
year = "2016",
month = "12",
day = "9",
doi = "10.1103/PhysRevE.94.062304",
language = "English (US)",
volume = "94",
journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",
issn = "1539-3755",
publisher = "American Physical Society",
number = "6",

}

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 -