The Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel.
Phys Rev E. 2016 Jun;93(6):062132. doi: 10.1103/PhysRevE.93.062132. Epub 2016 Jun 20.
For quite a few systems in the continuum, such as carbon nanotube polymer composites and segregated composites, percolation electrical conductivity exponents that are much smaller than the universal value have been reported. This is unexpected in view of the classical lattice percolation theory. Here we provide a simple general phenomenological model that accounts for such observations within the framework of universality. We suggest that these small value exponents are due to the interplay between the connectivity and the structural variations that follow the increase of the fractional volume content of the conducting phase.
对于连续体中的相当多的系统，如碳纳米管聚合物复合材料和分离复合材料，已经报道了渗流电导率指数远小于普适值。考虑到经典的晶格渗流理论，这是出乎意料的。在这里，我们提供了一个简单的通用唯象模型，在普遍性框架内解释了这些观察结果。我们认为，这些小值指数是由于连通性和结构变化之间的相互作用引起的，这种变化随着导电相的分数体积含量的增加而发生。
