Controlling 3D Percolation Threshold of Conductor-Insulator Composites by Changing the Granular Size of Insulators

Abstract

For a binary distribution of insulating particle sizes, we estimate the percolation threshold on a cubic lattice (3D). This work extends our previous investigation of a similar size distribution model in two dimensions (2D) where we found a drastic (∼13%) reduction in the percolation threshold (Shida et al. Materials Transactions Vol. 51, No. 6). For three-dimensional cases, the result is qualitatively similar to the corresponding two-dimensional cases: we found a significant decrease in the percolation threshold compared to the monodisperse cases.