Abstract:
The article presents the results of mathematical modeling of the flow of electric current
in a lamellar graphite polycrystal in a magnetic field. In contrast to the simple model,
taking into account only the contact resistance between the scales, this model also takes
into account the ohmic resistance along and across the layers of graphite based on the
chain model of the flow of electric current in a polycrystal of graphite. As a result, a formula with refined correction coefficients was obtained, which allows one to choose polycrystal parameters for calculating the temperature dependence of the resistivity and magnetoresistance. A comparison is made with a simple model that takes into account only
contact resistance, the difference is up to 50 % from the previous estimate. The difference is explained by the peculiarities of the connection of crystallites in a polycrystal.
This allows analyzing the size of the crystallites and their connections in artificial graphite on the basis of its electrophysical properties.
Citation:
A. V. Dmitriev, A. A. Ershov, “On estimation of mosaic block size and flake anisometry of artifical graphite by magnetoresistance”, Mat. Model., 32:1 (2020), 100–110; Math. Models Comput. Simul., 12:5 (2020), 740–746
\Bibitem{DmiErs20}
\by A.~V.~Dmitriev, A.~A.~Ershov
\paper On estimation of mosaic block size and flake anisometry of artifical graphite by magnetoresistance
\jour Mat. Model.
\yr 2020
\vol 32
\issue 1
\pages 100--110
\mathnet{http://mi.mathnet.ru/mm4150}
\crossref{https://doi.org/10.20948/mm-2020-01-07}
\transl
\jour Math. Models Comput. Simul.
\yr 2020
\vol 12
\issue 5
\pages 740--746
\crossref{https://doi.org/10.1134/S2070048220050051}
Linking options:
https://www.mathnet.ru/eng/mm4150
https://www.mathnet.ru/eng/mm/v32/i1/p100
This publication is cited in the following 4 articles:
A. A. Ershov, A. V. Dmitriev, A. A. Ershova, “Evaluation of Mason's Empirical Formula Using a Chain Model of Polycrystalline Graphite”, Khimiya tverdogo topliva, 2023, no. 5, 43
A. A. Ershov, A. V. Dmitriev, A. A. Ershova, “Evaluation of Mason's Empirical Formula Using a Chain Model of Polycrystalline Graphite”, Solid Fuel Chem., 57:5 (2023), 336
A. A. Ershov, A. V. Dmitriev, “Use of Natural Flake Graphite in the Calibration of Instrumental Research Methods”, Khimiya tverdogo topliva, 2023, no. 4, 55
A. A. Ershov, A. V. Dmitriev, “Use of Natural Flake Graphite in the Calibration of Instrumental Research Methods”, Solid Fuel Chem., 57:3 (2023), 192
Citation in format AMSBIB
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