Simulation of the Electrical Conductivity in Systems of Carbon Nanotubes

A simple and efficient method for calculating the conductivity of systems of carbon nanotubes forming a random resistor circuit in the case where the percolation threshold is reached in the system is proposed in this paper. This method uses the recursive removal of the dead-end branches of a cluster, which is necessary to determine the elements of the percolation cluster participating in the system's conductivity. The calculated conductivities presented in this paper are obtained using Monte Carlo simulation. In the future, the developed method can be used to calculate the conductivity of polymer-carbon nanocomposites.