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A New Insight in Determining the Percolation Threshold of Electrical Conductivity for Extrinsically Conducting Polymer Composites through Different Sigmoidal Models

The electrical conductivity of extrinsically conducting polymer composite systems passes through a transition state known as percolation threshold. A discussion has been made on how different Sigmoidal models (S-models), such as Sigmoidal–Boltzmann (SB), Sigmoidal–Dose Response (SD), Sigmoidal–Hill...

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Autores principales: Rahaman, Mostafizur, Aldalbahi, Ali, Govindasami, Periyasami, Khanam, Noorunnisa P., Bhandari, Subhendu, Feng, Peter, Altalhi, Tariq
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6418723/
https://www.ncbi.nlm.nih.gov/pubmed/30965833
http://dx.doi.org/10.3390/polym9100527
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author Rahaman, Mostafizur
Aldalbahi, Ali
Govindasami, Periyasami
Khanam, Noorunnisa P.
Bhandari, Subhendu
Feng, Peter
Altalhi, Tariq
author_facet Rahaman, Mostafizur
Aldalbahi, Ali
Govindasami, Periyasami
Khanam, Noorunnisa P.
Bhandari, Subhendu
Feng, Peter
Altalhi, Tariq
author_sort Rahaman, Mostafizur
collection PubMed
description The electrical conductivity of extrinsically conducting polymer composite systems passes through a transition state known as percolation threshold. A discussion has been made on how different Sigmoidal models (S-models), such as Sigmoidal–Boltzmann (SB), Sigmoidal–Dose Response (SD), Sigmoidal–Hill (SH), Sigmoidal–Logistic (SL), and Sigmoidal–Logistic-1 (SL-1), can be applied to predict the percolation threshold of electrical conductivity for ethylene vinyl acetate copolymer (EVA) and acrylonitrile butadiene copolymer (NBR) conducting composite systems filled with different carbon fillers. An interesting finding that comes from these observations is that the percolation threshold for electrical conductivity determined by SB and SD models are similar, whereas, the other models give different result when estimated for a particular composite system. This similarity and discrepancy in the results of percolation threshold have been discussed by considering the strength, weakness, and limitation of the models. The percolation threshold value for the composites has also been determined using the classical percolation theory and compared with the sigmoidal models. Moreover, to check the universal applicability, these Sigmoidal models have also been tested on results from some published literature. Finally, it is revealed that, except SL-1 model, the remaining models can successfully be used to determine the percolation threshold of electrical conductivity for extrinsically conductive polymer composites.
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spelling pubmed-64187232019-04-02 A New Insight in Determining the Percolation Threshold of Electrical Conductivity for Extrinsically Conducting Polymer Composites through Different Sigmoidal Models Rahaman, Mostafizur Aldalbahi, Ali Govindasami, Periyasami Khanam, Noorunnisa P. Bhandari, Subhendu Feng, Peter Altalhi, Tariq Polymers (Basel) Article The electrical conductivity of extrinsically conducting polymer composite systems passes through a transition state known as percolation threshold. A discussion has been made on how different Sigmoidal models (S-models), such as Sigmoidal–Boltzmann (SB), Sigmoidal–Dose Response (SD), Sigmoidal–Hill (SH), Sigmoidal–Logistic (SL), and Sigmoidal–Logistic-1 (SL-1), can be applied to predict the percolation threshold of electrical conductivity for ethylene vinyl acetate copolymer (EVA) and acrylonitrile butadiene copolymer (NBR) conducting composite systems filled with different carbon fillers. An interesting finding that comes from these observations is that the percolation threshold for electrical conductivity determined by SB and SD models are similar, whereas, the other models give different result when estimated for a particular composite system. This similarity and discrepancy in the results of percolation threshold have been discussed by considering the strength, weakness, and limitation of the models. The percolation threshold value for the composites has also been determined using the classical percolation theory and compared with the sigmoidal models. Moreover, to check the universal applicability, these Sigmoidal models have also been tested on results from some published literature. Finally, it is revealed that, except SL-1 model, the remaining models can successfully be used to determine the percolation threshold of electrical conductivity for extrinsically conductive polymer composites. MDPI 2017-10-19 /pmc/articles/PMC6418723/ /pubmed/30965833 http://dx.doi.org/10.3390/polym9100527 Text en © 2017 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Rahaman, Mostafizur
Aldalbahi, Ali
Govindasami, Periyasami
Khanam, Noorunnisa P.
Bhandari, Subhendu
Feng, Peter
Altalhi, Tariq
A New Insight in Determining the Percolation Threshold of Electrical Conductivity for Extrinsically Conducting Polymer Composites through Different Sigmoidal Models
title A New Insight in Determining the Percolation Threshold of Electrical Conductivity for Extrinsically Conducting Polymer Composites through Different Sigmoidal Models
title_full A New Insight in Determining the Percolation Threshold of Electrical Conductivity for Extrinsically Conducting Polymer Composites through Different Sigmoidal Models
title_fullStr A New Insight in Determining the Percolation Threshold of Electrical Conductivity for Extrinsically Conducting Polymer Composites through Different Sigmoidal Models
title_full_unstemmed A New Insight in Determining the Percolation Threshold of Electrical Conductivity for Extrinsically Conducting Polymer Composites through Different Sigmoidal Models
title_short A New Insight in Determining the Percolation Threshold of Electrical Conductivity for Extrinsically Conducting Polymer Composites through Different Sigmoidal Models
title_sort new insight in determining the percolation threshold of electrical conductivity for extrinsically conducting polymer composites through different sigmoidal models
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6418723/
https://www.ncbi.nlm.nih.gov/pubmed/30965833
http://dx.doi.org/10.3390/polym9100527
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