Continuum percolation of polydisperse nanofillers.

Continuum percolation of polydisperse nanofillers.
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DOI:
10.1103/physrevlett.103.225704
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发表时间:
2009-11
影响因子:
8.6
通讯作者:
R. Otten;P. van der Schoot
R. Otten;P. van der Schoot
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
R. Otten;P. van der Schoot

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我们证明,广义连通渗滤理论可以适用于一大类可能包含无限数量组分的各向异性粒子混合物。通过将我们的方法应用于碳纳米管复合材料,我们解释了在渗透阈值方面发现的导电起始的巨大变化,该阈值对颗粒长度和直径的多分散性敏感。该理论还允许我们模拟混合物中非导电物质存在的影响,例如单壁纳米管的情况,表明它们会按其丰度成比例地提高渗滤阈值。
We show that a generalized connectedness percolation theory can be made tractable for a large class of anisotropic particle mixtures that potentially contain an infinite number of components. By applying our methodology to carbon-nanotube composites, we explain the huge variations found in the onset of electrical conduction in terms of a percolation threshold that turns out to be sensitive to polydispersity in particle length and diameter. The theory also allows us to model the influence of the presence of nonconductive species in the mixture, such as is the case for single-walled nanotubes, showing that these raise the percolation threshold proportionally to their abundance.