The Modeling of the Polymer's Thin Film, Modified by Carbon Nanotubes, this Using of the percolation theory's methods

The polymer nanocomposites, containing the carbon nanotubes and owing to the unusual properties, are interest. For the research of the structure and properties of the polymer nanocomposite, containing carbon nanotubes, the percolation lattice model is proposed. From the model the polymeric matrix is presented by the square lattice with the linear size L, nanotubes − k-meres. For the modeling the periodic boundary conditions are used. For the uniform distribution of k-meres on the lattice and for their distribution on the clusters and the search of the percolation cluster the efficient algorithms are developed. The percolation problems of k-meres of the identical length on the square lattice, k-meres of the varied length on the square lattice; non-linear k-meres on the square lattice are investigated. (paper)