R-BAPB聚酰亚胺/碳纳米管复合材料电导率的多尺度模拟
Muiltiscale modeling of electrical conductivity of R-BAPB polyimide + carbon nanotubes nanocomposites
摘要：
用多尺度方法模拟了具有手性（5，5）的单壁碳纳米管（CNT）填充的聚酰亚胺R-BAPB聚合物的电导率。建模开始于聚合物填充的碳纳米管结的随时间变化的原子构型的分子动力学模拟。然后，在第一步中获得的原子位置被用来执行完全的第一性原理微观计算的碳纳米管结的接触电阻使用基于格林函数的量子输运技术。最后，将这些接触电阻作为输入提供给使用Monte Carlo逾渗模型的CNT系综电导率的统计计算。第一性原理计算的结果表明，聚合物填充的碳纳米管结的接触电阻的碳纳米管结的几何形状，包括一个角度$φ$之间的碳纳米管轴和周围的碳纳米管聚合物原子的位置非常强的依赖性。将这种强烈的依赖性以及CNT团聚解释到逾渗模型中，将电导率的计算值推到略高于逾渗阈值的0.01 S/m以下，这在具有各种基础聚合物的复合材料的实验范围内。进一步降低复合材料的导电性的可能机制进行了讨论。
英文摘要：
The electrical conductivity of the polyimide R-BAPB polymer filled with single-wall carbon nanotubes (CNT) with chirality (5,5) is modeled using a multi-scale approach. The modeling starts with molecular dynamics simulations of time-dependent fluctuating atomic configurations of polymer filled CNTs junctions. Then the atomic positions obtained in the first step are used to perform fully first-principles microscopic calculations of the CNTs junctions contact resistances using the Green's function based quantum transport technique. And finally, those contact resistances are supplied as an input to a statistical calculation of a CNTs ensemble conductivity using a Monte Carlo percolation model. The results of the first-principles calculations show a very strong dependence of the polymer filled CNTs junctions contact resistance on the geometry of CNTs junctions, including an angle $φ$ between nanotubes axes and the positions of polymer atoms around CNTs. Incorporating into the percolation model this strong dependence as well as CNTs agglomeration, pushed the calculated values of electrical conductivity just above the percolation threshold below 0.01 S/m, which is within the experimental range for composites with various base polymers. Possible mechanisms for further reduction of composites conductivity are discussed.
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