Numerical Simulation of the Percolation Cluster of Carbon Nanotubes in Membranes

The results of Monte-Carlo simulations of the percolation clusters of carbon nanotubes in the two-dimensional finite thickness membranes are presented. Simulations are performed by the Hoshen-Kopelman and modified Newman-Ziff algorithms. The dependence of the particles critical concentration (percolation thresholds) on the membrane aspect ratio are calculated. The critical concentration decreases with increase of the membrane aspect ratio.