Non-universal scaling behavior of polymer-metal composites across the percolation threshold

The universal percolation behavior i.e. σeff(ω,fcon≈fc)∝ωx and εeff(ω,fcon≈fc)∝ω-y is satisfied; with x + y = 1, where σeff is the effective ac conductivity of the composite, ω is the frequency of applied ac signal and fc is percolation threshold. The exponents (x = 0.72 and y = 0.28) obtained under...

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Main Authors: Maheswar Panda, V. Srinivas, A.K. Thakur
Format: Article
Language:English
Published: Elsevier 2015-01-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379714000072
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spelling doaj-5f6d900cace64d56b05c133b7ccdbec02020-11-24T23:45:05ZengElsevierResults in Physics2211-37972015-01-015C13614110.1016/j.rinp.2014.02.005Non-universal scaling behavior of polymer-metal composites across the percolation thresholdMaheswar Panda0V. Srinivas1A.K. Thakur2Department of Physics and Meteorology, Indian Institute of Technology Kharagpur, Kharagpur 721302, IndiaDepartment of Physics and Meteorology, Indian Institute of Technology Kharagpur, Kharagpur 721302, IndiaDepartment of Physics and Meteorology, Indian Institute of Technology Kharagpur, Kharagpur 721302, IndiaThe universal percolation behavior i.e. σeff(ω,fcon≈fc)∝ωx and εeff(ω,fcon≈fc)∝ω-y is satisfied; with x + y = 1, where σeff is the effective ac conductivity of the composite, ω is the frequency of applied ac signal and fc is percolation threshold. The exponents (x = 0.72 and y = 0.28) obtained under the inter-cluster polarization model for the case of 3D systems are consistent with the experimental values. The critical exponents s, s′ and t which characterize the divergence of εeff and σeff in the vicinity of fc show non-universal values. The non-universality of s, s′ and t is correlated with the extent of spatial connectivity of filler particles, which is reflected from the experimental values of loss tangent.http://www.sciencedirect.com/science/article/pii/S2211379714000072Polymer compositesPercolation in phase transitionCritical exponentsLoss tangent
collection DOAJ
language English
format Article
sources DOAJ
author Maheswar Panda
V. Srinivas
A.K. Thakur
spellingShingle Maheswar Panda
V. Srinivas
A.K. Thakur
Non-universal scaling behavior of polymer-metal composites across the percolation threshold
Results in Physics
Polymer composites
Percolation in phase transition
Critical exponents
Loss tangent
author_facet Maheswar Panda
V. Srinivas
A.K. Thakur
author_sort Maheswar Panda
title Non-universal scaling behavior of polymer-metal composites across the percolation threshold
title_short Non-universal scaling behavior of polymer-metal composites across the percolation threshold
title_full Non-universal scaling behavior of polymer-metal composites across the percolation threshold
title_fullStr Non-universal scaling behavior of polymer-metal composites across the percolation threshold
title_full_unstemmed Non-universal scaling behavior of polymer-metal composites across the percolation threshold
title_sort non-universal scaling behavior of polymer-metal composites across the percolation threshold
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2015-01-01
description The universal percolation behavior i.e. σeff(ω,fcon≈fc)∝ωx and εeff(ω,fcon≈fc)∝ω-y is satisfied; with x + y = 1, where σeff is the effective ac conductivity of the composite, ω is the frequency of applied ac signal and fc is percolation threshold. The exponents (x = 0.72 and y = 0.28) obtained under the inter-cluster polarization model for the case of 3D systems are consistent with the experimental values. The critical exponents s, s′ and t which characterize the divergence of εeff and σeff in the vicinity of fc show non-universal values. The non-universality of s, s′ and t is correlated with the extent of spatial connectivity of filler particles, which is reflected from the experimental values of loss tangent.
topic Polymer composites
Percolation in phase transition
Critical exponents
Loss tangent
url http://www.sciencedirect.com/science/article/pii/S2211379714000072
work_keys_str_mv AT maheswarpanda nonuniversalscalingbehaviorofpolymermetalcompositesacrossthepercolationthreshold
AT vsrinivas nonuniversalscalingbehaviorofpolymermetalcompositesacrossthepercolationthreshold
AT akthakur nonuniversalscalingbehaviorofpolymermetalcompositesacrossthepercolationthreshold
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