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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">uzakuesc</journal-id><journal-title-group><journal-title xml:lang="ru">Ученые записки Казанского университета. Серия Естественные науки</journal-title><trans-title-group xml:lang="en"><trans-title>Uchenye Zapiski Kazanskogo Universiteta Seriya Estestvennye Nauki</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2542-064X</issn><issn pub-type="epub">2500-218X</issn><publisher><publisher-name>Kazan (Volga Region) Federal University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26907/2542-064X.2024.2.210-228</article-id><article-id custom-type="elpub" pub-id-type="custom">uzakuesc-116</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>Anomalous Conductive Properties of Polymer Composites with Carbon Nanotubes: Why Power Laws Are Not Universal</article-title><trans-title-group xml:lang="en"><trans-title>Anomalous Conductive Properties of Polymer Composites with Carbon Nanotubes: Why Power Laws Are Not Universal</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Khamidullin</surname><given-names>T. L.</given-names></name><name name-style="western" xml:lang="en"><surname>Khamidullin</surname><given-names>T. L.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Khamidullin Timur Lenarovich, PhD Student, Department of Physical Chemistry, A.M. Butlerov Institute of Chemistry</p><p>ul. Kremlevskaya, 18, Kazan, 420008 </p></bio><bio xml:lang="en"><p>Khamidullin Timur Lenarovich, PhD Student, Department of Physical Chemistry, A.M. Butlerov Institute of Chemistry</p><p>ul. Kremlevskaya, 18, Kazan, 420008 </p></bio><email xlink:type="simple">TiLKhamidullin@kpfu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Lounev</surname><given-names>I. V.</given-names></name><name name-style="western" xml:lang="en"><surname>Lounev</surname><given-names>I. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Lounev Ivan Vladimirovich, PhD in Physics, Associate Professor, Senior Research Fellow, Department of Quantum Electronics and Radiospectroscopy, Institute of Physics</p><p>ul. Kremlevskaya, 18, Kazan, 420008</p></bio><bio xml:lang="en"><p>Lounev Ivan Vladimirovich, PhD in Physics, Associate Professor, Senior Research Fellow, Department of Quantum Electronics and Radiospectroscopy, Institute of Physics</p><p>ul. Kremlevskaya, 18, Kazan, 420008</p></bio><email xlink:type="simple">lounev75@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Sattarov</surname><given-names>S. A.</given-names></name><name name-style="western" xml:lang="en"><surname>Sattarov</surname><given-names>S. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Sattarov Sergey Abudievich, PhD in Physics, Associate Professor, Department of Radioelectronics </p><p>pr. I. Karimova, 4, Jizzakh, 130100 </p></bio><bio xml:lang="en"><p>Sattarov Sergey Abudievich, PhD in Physics, Associate Professor, Department of Radioelectronics </p><p>pr. I. Karimova, 4, Jizzakh, 130100 </p></bio><email xlink:type="simple">jizpi_sattarov@list.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Dimiev</surname><given-names>A. M.</given-names></name><name name-style="western" xml:lang="en"><surname>Dimiev</surname><given-names>A. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Dimiev Ayrat Maratovich, Doctor of Chemistry, Leading Research Fellow, Laboratory for Advanced Carbon Nanomaterials, A.M. Butlerov Institute of Chemistry</p><p>ul. Kremlevskaya, 18, Kazan, 420008</p></bio><bio xml:lang="en"><p>Dimiev Ayrat Maratovich, Doctor of Chemistry, Leading Research Fellow, Laboratory for Advanced Carbon Nanomaterials, A.M. Butlerov Institute of Chemistry</p><p>ul. Kremlevskaya, 18, Kazan, 420008</p></bio><email xlink:type="simple">AMDimiev@kpfu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Kazan Federal University</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Kazan Federal University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Jizzakh Polytechnical Institute</institution><country>Узбекистан</country></aff><aff xml:lang="en"><institution>Jizzakh Polytechnical Institute</institution><country>Uzbekistan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>08</day><month>07</month><year>2024</year></pub-date><volume>166</volume><issue>2</issue><fpage>210</fpage><lpage>228</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Khamidullin T.L., Lounev I.V., Sattarov S.A., Dimiev A.M., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Khamidullin T.L., Lounev I.V., Sattarov S.A., Dimiev A.M.</copyright-holder><copyright-holder xml:lang="en">Khamidullin T.L., Lounev I.V., Sattarov S.A., Dimiev A.M.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://uzakuesc.elpub.ru/jour/article/view/116">https://uzakuesc.elpub.ru/jour/article/view/116</self-uri><abstract><p>The conductive properties of CNT/polymer composites have been extensively studied. However, the impact of CNT distribution in the matrix on the composite polarization remains underexplored and poorly understood. Since it is difficult to achieve a uniform distribution of CNTs in polymers, most researchers have focused only on indiscriminately aggregated states. In this article, a new blending method was suggested to prepare a series of epoxy resin-based composite samples with varying levels of CNT uniformity/aggregation and the same filling fractions. Notably, the permittivity values turned out to be inversely related to the composite uniformity: the lowest permittivity values were obtained in the most uniform formulation, and vice versa. With 0.1% CNT, the real part values of the most uniform and aggregated samples were 6.6 and 16.2 at 107 Hz and 11.6 and 370.5 at 101 Hz, respectively. For the filler content of 0.1–0.5%, the conductive properties were largely determined by the distribution of CNTs and not their content. Within the entire frequency range, the uniform sample with 0.2% CNT exhibited significantly lower permittivity than the aggregated sample with 0.1% CNT. These findings emphasize the importance of the aggregation factor and underscore the non-universality and limitations of the percolation theory and power laws. The observed phenomenon is best explained by the micro-capacitor model, or the Maxwell–Wagner polarization, and suggests that a significant portion of the literature in the field needs to be reconsidered.</p></abstract><trans-abstract xml:lang="en"><p>The conductive properties of CNT/polymer composites have been extensively studied. However, the impact of CNT distribution in the matrix on the composite polarization remains underexplored and poorly understood. Since it is difficult to achieve a uniform distribution of CNTs in polymers, most researchers have focused only on indiscriminately aggregated states. In this article, a new blending method was suggested to prepare a series of epoxy resin-based composite samples with varying levels of CNT uniformity/aggregation and the same filling fractions. Notably, the permittivity values turned out to be inversely related to the composite uniformity: the lowest permittivity values were obtained in the most uniform formulation, and vice versa. With 0.1% CNT, the real part values of the most uniform and aggregated samples were 6.6 and 16.2 at 107 Hz and 11.6 and 370.5 at 101 Hz, respectively. For the filler content of 0.1–0.5%, the conductive properties were largely determined by the distribution of CNTs and not their content. Within the entire frequency range, the uniform sample with 0.2% CNT exhibited significantly lower permittivity than the aggregated sample with 0.1% CNT. These findings emphasize the importance of the aggregation factor and underscore the non-universality and limitations of the percolation theory and power laws. The observed phenomenon is best explained by the micro-capacitor model, or the Maxwell–Wagner polarization, and suggests that a significant portion of the literature in the field needs to be reconsidered.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>epoxy resin composites</kwd><kwd>carbon nanotubes</kwd><kwd>interfacial polarization</kwd><kwd>permittivity</kwd><kwd>aggregation</kwd><kwd>microcapacitor model</kwd></kwd-group><kwd-group xml:lang="en"><kwd>epoxy resin composites</kwd><kwd>carbon nanotubes</kwd><kwd>interfacial polarization</kwd><kwd>permittivity</kwd><kwd>aggregation</kwd><kwd>microcapacitor model</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">This study was supported by Russian Science Foundation (project no. 21-73-20024).</funding-statement><funding-statement xml:lang="en">This study was supported by Russian Science Foundation (project no. 21-73-20024).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Jonscher A.K. 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