Mathematical Modeling of Electrical Conductivity of Anisotropic Nanocomposite with Periodic Structure

Sergey Korchagin, Ekaterina Pleshakova, Irina Alexandrova, Vitaliy Dolgov, Elena Dogadina, Denis Serdechnyy and Konstantin Bublikov
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Sergey Korchagin: Department of Data Analysis and Machine Learning, Financial University under the Government of the Russian Federation, Shcherbakovskaya, 38, 105187 Moscow, Russia
Ekaterina Pleshakova: Department of Data Analysis and Machine Learning, Financial University under the Government of the Russian Federation, Shcherbakovskaya, 38, 105187 Moscow, Russia
Irina Alexandrova: Department of Data Analysis and Machine Learning, Financial University under the Government of the Russian Federation, Shcherbakovskaya, 38, 105187 Moscow, Russia
Vitaliy Dolgov: Department of Data Analysis and Machine Learning, Financial University under the Government of the Russian Federation, Shcherbakovskaya, 38, 105187 Moscow, Russia
Elena Dogadina: Department of Data Analysis and Machine Learning, Financial University under the Government of the Russian Federation, Shcherbakovskaya, 38, 105187 Moscow, Russia
Denis Serdechnyy: Department of Innovation Management, State University of Management, Ryazansky Pr., 99, 109542 Moscow, Russia
Konstantin Bublikov: Institute of Electrical Engineering, Slovak Academy of Sciences, Dubravska cesta 3484/9, 84104 Bratislava, Slovakia

Mathematics, 2021, vol. 9, issue 22, 1-12

Abstract: Composite materials consisting of a dielectric matrix with conductive inclusions are promising in the field of micro- and optoelectronics. The properties of a nanocomposite material are strongly influenced by the characteristics of the substances included in its composition, as well as the shape and size of inclusions and the orientation of particles in the matrix. The use of nanocomposite material has significantly expanded and covers various systems. The anisotropic form of inclusions is the main reason for the appearance of optical anisotropy. In this article, models and methods describing the electrical conductivity of a layered nanocomposite of a self-similar structure are proposed. The method of modeling the electrical conductivity of individual blocks, layers, and composite as a whole is carried out similarly to the method of determining the dielectric constant. The advantage of the method proposed in this paper is the removal of restrictions imposed on the theory of generalized conductivity associated with the need to set the dielectric constant.

Keywords: composite materials; mathematical modeling; electrical conductivity; layered nanocomposites; periodic structure (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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