
The Percolation Model of the Structure of the Polymer Nanocomposite, Containing the Carbon Nanotubes, with the Orient Factor Availability
Author(s) -
K. A. Bokov,
M. M. Buzmakova
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1439/1/012027
Subject(s) - carbon nanotube , square lattice , materials science , percolation threshold , nanocomposite , polymer , condensed matter physics , lattice (music) , electric field , nanotechnology , electrical resistivity and conductivity , composite material , physics , quantum mechanics , acoustics , ising model
The percolation lattice model of the structure of the polymer thin film, containing the carbon nanotubes, with the orient factor availability is proposed in this paper. From the model: the polymer matrix is the square lattice with linear size L; the carbon nanotubes are k- meres ( k consecutive occupied nodes of the lattice); the interphase regions are nodes of the bond between k -meres. Also where is the orient factor for the carbon nanotubes in the form of the electric current, flowing in one direct during the structure formation of the nanocomposite. For the modeling the periodic boundary conditions are used. For the model the percolation threshold values are obtained for two cases: for the uniform distribution of the k-meres on the square lattice and for the unidirectional k-meres on the square lattice. According to the made natural experiments [1], the linear orientation in the field of electric current force is possible at the small concentration of nanotubes. In the model it is supposed, during the consolidation all nanotubes manage to be developed and get the identical direction.