Abstract

The article presents the results of the mathematical modeling of the flow of the electric current in a lamellar graphite polycrystal in a magnetic field. In contrast to the simple model, which takes into account only the contact resistance between the flakes, 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 the electric current in a graphite polycrystal. As a result, a formula with refined correction coefficients is obtained, which allows us to choose polycrystal parameters for calculating the temperature dependence of 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 based on its electrophysical properties.

中文翻译：

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磁阻法测定人造石墨镶嵌块的尺寸和薄片的等距线

摘要

本文介绍了在磁场中层状石墨多晶体中电流流动的数学模型化结果。与仅考虑薄片之间的接触电阻的简单模型相比，该模型还基于石墨中电流流动的链模型考虑了沿石墨层和跨石墨层的欧姆电阻多晶。结果，获得了具有改进的校正系数的公式，该公式使我们能够选择多晶参数来计算电阻率和磁阻的温度依赖性。使用仅考虑接触电阻的简单模型进行比较，与之前的估计相差最多50％。这种差异可以通过多晶中微晶的连接特性来解释。这允许基于人造石墨的电物理特性来分析其晶粒尺寸及其连接。