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Finite-Size Scaling Features of Electric Conductivity Percolation in Nanocomposites

机译:纳米复合材料电导率渗流的有限尺度缩放特征

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Using conductive nanocomposites for bipolar plates in fuel cells can improve their performance. Percolation is the mechanism for nanocomposite conductivity. When the volume fraction of fillers in a composite material reaches a critical value, percolation starts to happen. If the composite material has an infinitesize, the probability of conductivity jumps from zero to 100% at the critical volume fraction. However, for finite-size composites, the probability would rise in a Gaussian-error-like smooth curve function. This research uses Monte Carlo simulations to study the percolation probability of finite-size nanocomposites cubes. The analyses show that there are two critical volume fractions. As the cube size approaches infinity, the two critical volume rates converge and should be equal to the theoretical value. Using the normal-cumulated-distribution function model, a power-law equation is obtained to estimate the critical volume fraction from the corresponding nanocomposite cube size. However, the Monte-Carlo simulations in this research have been based on a uniform distribution of nanotubes in the composite cube. In practical implementation, the CVF obtained from this research can be treated as the lower bound of possible real values.
机译:将导电纳米复合材料用于燃料电池中的双极板可以改善其性能。渗透是纳米复合材料电导率的机制。当复合材料中填料的体积分数达到临界值时,就会开始发生渗滤。如果复合材料具有无限大的尺寸,则在临界体积分数下电导率的可能性将从零跃升至100%。但是,对于有限尺寸的复合材料,概率会以类似高斯误差的平滑曲线函数形式增加。这项研究使用蒙特卡洛(Monte Carlo)模拟来研究有限尺寸纳米复合材料立方体的渗滤概率。分析表明存在两个临界体积分数。当立方体大小接近无穷大时,两个临界体积率会聚并且应等于理论值。使用正态累积分布函数模型,可以得到幂律方程,以根据相应的纳米复合立方体尺寸估算临界体积分数。但是,这项研究中的蒙特卡洛模拟是基于复合立方体中纳米管的均匀分布。在实际实施中,从这项研究中获得的CVF可以视为可能实际值的下限。

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