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Generalized network theory of physical two-dimensional systems

Abstract:
The properties of a wide range of two-dimensional network materials are investigated by developing a generalized network theory. The methods developed are shown to be applicable to a wide range of systems generated from both computation and experiment; incorporating atomistic materials, foams, fullerenes, colloidal monolayers, and geopolitical regions. The ring structure in physical networks is described in terms of the node degree distribution and the assortativity. These quantities are linked to previous empirical measures such as Lemaître's law and the Aboav-Weaire law. The effect on these network properties is explored by systematically changing the coordination environments, topologies, and underlying potential model of the physical system.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevE.101.042309

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Chemistry
Sub department:
Physical & Theoretical Chem
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Chemistry
Sub department:
Physical & Theoretical Chem
Role:
Author
ORCID:
0000-0003-1751-0958
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Chemistry
Sub department:
Physical & Theoretical Chem
Role:
Author


Publisher:
American Physical Society
Journal:
Physical Review E More from this journal
Volume:
101
Issue:
4
Article number:
042309
Publication date:
2020-04-27
Acceptance date:
2020-03-26
DOI:
EISSN:
2470-0053
ISSN:
2470-0045


Language:
English
Keywords:
Pubs id:
1096847
Local pid:
pubs:1096847
Deposit date:
2020-03-27

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