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Random resistor network application to modelling of d.c. ionic conductivity in composite polymeric electrolytes

机译:随机电阻网络在直流建模中的应用复合高分子电解质中的离子电导率

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摘要

A new class of conductivity models based on the application of the random resistor network approach is developed to study composite polymeric electrolytes. The simulation is based on virtual composite sample generation and its transformation into the form of a three-dimensional resistor network. Average grain diameter and its statistical distribution, shell thickness and different dependencies of local shell conductivity on the distance from the grain surface can act as variables. The use of the modified iteration procedure based on the Kirkpatrick approach leads to direct current resistivity value. The results were obtained for the matrix size 100 x 100 x 100 units (with assumption 1 unit= 1 mu m). The dependency of conductivity on the grain filler concentration was studied for varying grain sizes, changing shell thickness and for different statistical distributions of these parameters. The obtained results of simulation are in general agreement with the experimental data. (c) 2005 Elsevier B.V. All rights reserved.
机译:基于随机电阻网络方法的应用,开发了一类新的电导率模型来研究复合聚合物电解质。该模拟基于虚拟复合样本的生成并将其转换为三维电阻器网络的形式。平均晶粒直径及其统计分布,壳厚度以及局部壳电导率对距晶粒表面距离的不同依赖性可以充当变量。使用基于柯克帕特里克(Kirkpatrick)方法的改进迭代过程可得出直流电阻率值。对于矩阵尺寸为100 x 100 x 100单位(假设1单位= 1微米)获得的结果。研究了电导率对谷物填料浓度的依赖关系,包括变化的晶粒尺寸,变化的壳厚度以及这些参数的不同统计分布。仿真结果与实验数据基本吻合。 (c)2005 Elsevier B.V.保留所有权利。

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