Chatterjee Avik P
Department of Chemistry, SUNY College of Environmental Science and Forestry, One Forestry Drive, Syracuse, New York 13210, USA.
Phys Rev E. 2017 Aug;96(2-1):022142. doi: 10.1103/PhysRevE.96.022142. Epub 2017 Aug 21.
A model for connectedness percolation in isotropic systems of monodisperse cylinders is developed that employs a generalization of the tree-like Bethe lattice. The traditional Bethe lattice is generalized by incorporating (within a heuristic, mean-field framework) a pair of correlation parameters that describe (i) the states of occupancy of neighboring sites and (ii) the states of directly adjacent bonds, which are also allowed to be in either of two possible states. Averaging over the fluctuating states of neighboring bonds provides an operational means to modulate the dependence upon volume fraction of the average number of next-nearest-neighbor rod-rod contacts without altering the number of such nearest-neighbor interparticle contacts. The percolation threshold is shown to be a sensitive function of the average number of such next-nearest-neighbor contacts, and therefore of the quality of dispersion of the particles.
建立了一个单分散圆柱体各向同性系统中连通渗流的模型，该模型采用了类树状贝塞晶格的推广形式。传统的贝塞晶格通过（在启发式平均场框架内）纳入一对相关参数进行推广，这对参数描述了：（i）相邻位点的占据状态；（ii）直接相邻键的状态，键也允许处于两种可能状态中的任意一种。对相邻键的波动状态进行平均，提供了一种操作方法，可在不改变这种最近邻粒子间接触数量的情况下，调节对次近邻棒 - 棒接触平均数量的体积分数依赖性。结果表明，渗流阈值是这种次近邻接触平均数量的敏感函数，因此也是颗粒分散质量的敏感函数。
