Conductance of two-dimensional disordered Voronoi networks

Resistor networks constructed from Voronoi polygons are models for transport by diffusive motion across local interfaces where both the interface strength and the local coordination number can be distributed. Computer simulations were performed on a series of two-dimensional networks with increasing degree of disorder, starting from a regular lattice. We find nonmonotonic behavior of the overall network conductance as a function of disorder. The observed increase of network conductance G as the random lattice is approached shows the importance of taking local topology variations into account in the description of disordered media. We discuss a general and simple way to estimate G from a particular, network-specific percentile of the distribution of local conductances.