Scaled Effective Medium Theory (ScEMT) is applied to predict magnetic resonant and relaxation frequency in polymer-magnetic particle composites with favorable comparison to measured data. A single scaling function is identified that uses magnetic particulate resonant and relaxation frequencies, or magnetization and anisotropy field, volume fraction and DC susceptibility as predicted by ScEMT. Previous publications demonstrated that ScEMT improved the prediction of DC susceptibility as compared to classical models. Maxwell-Garnett (MGT) and Coherent Model Approximation (CMA) serve as theoretical baselines for comparison. However, both require separate scaling functions in their prediction of resonant and relaxation. Measured data are presented that suggest a single scaling function of ScEMT is sufficient to calculate both parameters. The paper emphasizes the application of the models and shows a wide range of particulate chemistries. ScEMT calculates susceptibility, resonant and relaxation frequency that agree with measurement. The paper concludes by predicting dispersive permeability that represents improvement over both CMA and MGT models. Future studies will address formulation of an EMT model (s) that describe mixtures of hard and soft magnetic materials mixed in a polymer composite. EMT for composite dielectric properties will be expanded to address the chaining. Early results of that effort will be reported in a separate paper.
| Published in | American Journal of Physics and Applications (Volume 9, Issue 1) |
| DOI | 10.11648/j.ajpa.20210901.13 |
| Page(s) | 15-24 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Effective Medium Theory, Permeability, Frequency Dispersions
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APA Style
Ricky Lamar Moore. (2021). A Scaled Effective Medium Theory for Calculation of Resonant and Relaxation Frequency in Magnetic Composites. American Journal of Physics and Applications, 9(1), 15-24. https://doi.org/10.11648/j.ajpa.20210901.13
ACS Style
Ricky Lamar Moore. A Scaled Effective Medium Theory for Calculation of Resonant and Relaxation Frequency in Magnetic Composites. Am. J. Phys. Appl. 2021, 9(1), 15-24. doi: 10.11648/j.ajpa.20210901.13
AMA Style
Ricky Lamar Moore. A Scaled Effective Medium Theory for Calculation of Resonant and Relaxation Frequency in Magnetic Composites. Am J Phys Appl. 2021;9(1):15-24. doi: 10.11648/j.ajpa.20210901.13
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Download@article{10.11648/j.ajpa.20210901.13,
author = {Ricky Lamar Moore},
title = {A Scaled Effective Medium Theory for Calculation of Resonant and Relaxation Frequency in Magnetic Composites},
journal = {American Journal of Physics and Applications},
volume = {9},
number = {1},
pages = {15-24},
doi = {10.11648/j.ajpa.20210901.13},
url = {https://doi.org/10.11648/j.ajpa.20210901.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20210901.13},
abstract = {Scaled Effective Medium Theory (ScEMT) is applied to predict magnetic resonant and relaxation frequency in polymer-magnetic particle composites with favorable comparison to measured data. A single scaling function is identified that uses magnetic particulate resonant and relaxation frequencies, or magnetization and anisotropy field, volume fraction and DC susceptibility as predicted by ScEMT. Previous publications demonstrated that ScEMT improved the prediction of DC susceptibility as compared to classical models. Maxwell-Garnett (MGT) and Coherent Model Approximation (CMA) serve as theoretical baselines for comparison. However, both require separate scaling functions in their prediction of resonant and relaxation. Measured data are presented that suggest a single scaling function of ScEMT is sufficient to calculate both parameters. The paper emphasizes the application of the models and shows a wide range of particulate chemistries. ScEMT calculates susceptibility, resonant and relaxation frequency that agree with measurement. The paper concludes by predicting dispersive permeability that represents improvement over both CMA and MGT models. Future studies will address formulation of an EMT model (s) that describe mixtures of hard and soft magnetic materials mixed in a polymer composite. EMT for composite dielectric properties will be expanded to address the chaining. Early results of that effort will be reported in a separate paper.},
year = {2021}
}
TY - JOUR T1 - A Scaled Effective Medium Theory for Calculation of Resonant and Relaxation Frequency in Magnetic Composites AU - Ricky Lamar Moore Y1 - 2021/01/22 PY - 2021 N1 - https://doi.org/10.11648/j.ajpa.20210901.13 DO - 10.11648/j.ajpa.20210901.13 T2 - American Journal of Physics and Applications JF - American Journal of Physics and Applications JO - American Journal of Physics and Applications SP - 15 EP - 24 PB - Science Publishing Group SN - 2330-4308 UR - https://doi.org/10.11648/j.ajpa.20210901.13 AB - Scaled Effective Medium Theory (ScEMT) is applied to predict magnetic resonant and relaxation frequency in polymer-magnetic particle composites with favorable comparison to measured data. A single scaling function is identified that uses magnetic particulate resonant and relaxation frequencies, or magnetization and anisotropy field, volume fraction and DC susceptibility as predicted by ScEMT. Previous publications demonstrated that ScEMT improved the prediction of DC susceptibility as compared to classical models. Maxwell-Garnett (MGT) and Coherent Model Approximation (CMA) serve as theoretical baselines for comparison. However, both require separate scaling functions in their prediction of resonant and relaxation. Measured data are presented that suggest a single scaling function of ScEMT is sufficient to calculate both parameters. The paper emphasizes the application of the models and shows a wide range of particulate chemistries. ScEMT calculates susceptibility, resonant and relaxation frequency that agree with measurement. The paper concludes by predicting dispersive permeability that represents improvement over both CMA and MGT models. Future studies will address formulation of an EMT model (s) that describe mixtures of hard and soft magnetic materials mixed in a polymer composite. EMT for composite dielectric properties will be expanded to address the chaining. Early results of that effort will be reported in a separate paper. VL - 9 IS - 1 ER -
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