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Modeling of percolation phenomena in 3D nanotube system
Author(s) -
Yuriy Olenych,
Ivan Karbovnyk,
Yaroslav Shmygelsky,
Halyna Klym
Publication year - 2018
Publication title -
electronics and information technologies
Language(s) - English
Resource type - Journals
eISSN - 2224-0888
pISSN - 2224-087X
DOI - 10.30970/eli.9.40
Subject(s) - nanotube , percolation (cognitive psychology) , percolation theory , percolation threshold , nanotechnology , materials science , statistical physics , carbon nanotube , physics , psychology , engineering , neuroscience , electrical resistivity and conductivity , topology (electrical circuits) , electrical engineering
In this paper, the analysis of percolation phenomena in the system of straight nanotubes is carried out and appropriate model is proposed. The algorithm for finding the probability of nanotubes percolation is implemented using a three-dimensional graphics visualization tools. The influence of geometric sizes of nanotubes and their spatial orientation on the probability of a percolation cluster formation is studied. Based on the analysis of the dependence of percolation probability on the limiting values of the dispersion of the polar and azimuthal angles determining the nanotubes orientation in the 3D space, the basic regularities of the conductive cluster formation in isotropic and anisotropic nanotubes systems are established. The optimum values of the investigated system parameters for discovering percolation are found.

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