Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-10947
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Main Title: Universality of the emergent scaling in finite random binary percolation networks
Author(s): Zhai, Chongpu
Hanaor, Dorian
Gan, Yixiang
Type: Article
Language Code: en
Abstract: In this paper we apply lattice models of finite binary percolation networks to examine the effects of network configuration on macroscopic network responses. We consider both square and rectangular lattice structures in which bonds between nodes are randomly assigned to be either resistors or capacitors. Results show that for given network geometries, the overall normalised frequency-dependent electrical conductivities for different capacitor proportions are found to converge at a characteristic frequency. Networks with sufficiently large size tend to share the same convergence point uninfluenced by the boundary and electrode conditions, can be then regarded as homogeneous media. For these networks, the span of the emergent scaling region is found to be primarily determined by the smaller network dimension (width or length). This study identifies the applicability of power-law scaling in random two phase systems of different topological configurations. This understanding has implications in the design and testing of disordered systems in diverse applications.
URI: https://depositonce.tu-berlin.de/handle/11303/12073
http://dx.doi.org/10.14279/depositonce-10947
Issue Date: 16-Feb-2017
Date Available: 26-Nov-2020
DDC Class: 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten
Subject(s): RC network
network geometry
electrode dimension
electrical response
scaling
License: https://creativecommons.org/licenses/by/4.0/
Journal Title: PLOS ONE
Publisher: Public Library of Science (PLOS)
Publisher Place: San Francisco, Calif.
Volume: 12
Issue: 2
Article Number: e0172298
Publisher DOI: 10.1371/journal.pone.0172298
EISSN: 1932-6203
Appears in Collections:FG Keramische Werkstoffe » Publications

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