Invariant Percolation Properties in Random Isotropic Systems of Conductive Discorectangles on a Plane: From Disks to Sticks

Abstract

Nanorod‐ and nanowire‐based films are promising 2D materials for the transparent conductive electrodes, including flexible and stretchable ones. To mimic the shape of elongated conductive nanoparticles and, at the same time, simplify the simulations, different simple geometrical figures are used. During simulation, the shape and the aspect ratio of the particles affect the electrical and optical properties of films. However, some features of the conductive films may be insensitive both to the shape of particles and to their aspect ratio. 2D random systems of isotropically placed, overlapping, identical discorectangles (stadia) with aspect ratios ranging from 1 (disks) to ∞ (zero‐width sticks) are studied. The particular case when only the junction resistance between conductive particles is taken into account is considered. The effect of the aspect ratio and the number density of conductive discorectangles on the behavior of the electrical conductivity, the local conductivity exponent, and the current‐carrying backbone is analyzed. The computer simulations demonstrate that some of the properties of random, isotropic 2D systems of conductive discorectangles are insensitive to the aspect ratios of the particles.