Percolation and conductivity of random two-dimensional composites

Abstract

Tessellating an area into convex polygons and labelling a given number of randomly chosen polygons as conducting, the rest not, creates a useful model of a disordered composite. The percolation and conduction properties of composites generated from the random Voronoi tessellation are compared with those from regular tessellations, namely the square and the hexagonal. Percolation properties of interest are the conducting cluster distribution, the percolation threshold, and the percolation probability. Conduction properties are obtained by a lattice network reduction (a finite difference type approximation to conduction) and by finite element analysis.