Computer modeling of k-meres percolation on a square lattice

The paper presents a percolation model of k-meres on a square lattice. The algorithms for packing of k-meres on a square lattice, for distribution of k-meres on the clusters, for search for the percolation cluster - the cluster contained within the whole lattice - were developed for the model. The periodic boundary conditions were used in the simulation. The values of the percolation threshold for k = 1, 2, 10 have been obtained. For k = 1, 2, 3, the values of the percolation threshold coincided with those from other researchers. This model can be used to describe changes in the structure and properties of a polymer modified by carbon nanotubes.