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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...
The results of the Monte-Carlo numerical simulations of the particle diffusion in the hybrid membranes which consists of anisotropic matrix (polymer) with embedded tubular particles (nanotubes) is presented. The dependence of diffusion coefficient for the random walk of spherical particles from the characteristics of heterogeneous material is calculated. It is shown that the diffusion coefficient...
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