Chatterjee Avik P
Department of Chemistry, SUNY College of Environmental Science and Forestry, Jahn Laboratory, One Forestry Drive, Syracuse, New York 13210, USA.
J Chem Phys. 2014 May 28;140(20):204911. doi: 10.1063/1.4879217.
A model is developed for percolation in polydisperse systems of oriented cylinders that integrates excluded volume arguments with an analogy to site percolation on a modified Bethe lattice. Results from this treatment are presented for the volume fraction at the percolation threshold (denoted ϕc) as a function of the degree of polydispersity, mixture composition, and degree of orientational ordering. For monodisperse systems, ϕc is found to be a monotonically increasing function of the traditional orientational order parameter that quantifies degree of alignment. The presence of a fraction of isotropically oriented rods of small aspect ratio is shown to lower the percolation threshold for systems in which the longer rods are strongly aligned.
开发了一个用于定向圆柱多分散体系中渗流的模型，该模型将排除体积论据与修正贝塞晶格上的位点渗流类比相结合。给出了该处理方法得到的渗流阈值处的体积分数（记为ϕc）作为多分散度、混合物组成和取向有序度的函数的结果。对于单分散体系，发现ϕc是量化排列程度的传统取向序参量的单调递增函数。结果表明，对于长杆强烈取向的体系，存在一小部分小纵横比的各向同性取向杆会降低渗流阈值。
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