Modeling of Particle Diffusion in Heterogeneous Structure Near to the Percolation Threshold

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 of the particles in the membrane varies nonlinearly with increasing of the concentration of embedded particles. A significant change of the diffusion time occurs when a particle's concentration is close to the percolation threshold.