Department of Chemistry, Edwin C. Jahn Laboratory, SUNY-ESF, One Forestry Drive, Syracuse, New York 13210, USA.
J Chem Phys. 2010 Jun 14;132(22):224905. doi: 10.1063/1.3436716.
A mean-field theory is presented for the percolation behavior of systems of rodlike particles characterized by length polydispersity. An analogy to the problem of site percolation on a modified Bethe lattice is employed to estimate the percolation threshold, percolation probability, and backbone fraction as functions of the rod volume fraction and polydispersity. Model calculations reveal that the percolation probability and backbone fraction depend sensitively upon the rod length distribution, while the percolation threshold is governed primarily by the weight-averaged rod length.
本文提出了一种针对具有长度多分散性的棒状粒子体系的逾渗行为的平均场理论。通过类比在修正的Bethe 晶格上的点逾渗问题，来估计逾渗阈值、逾渗概率和骨架分数作为棒状粒子体积分数和多分散性的函数。模型计算表明，逾渗概率和骨架分数对棒状粒子的长度分布非常敏感，而逾渗阈值主要由加权平均棒状粒子长度决定。
