The Optimization at Studying of Electrical Conductivity in the Dielectric Nanocomposites with Disordered Nanotubes

We study the electrical conductivity of a three-dimensional (3D) nanocomposite with incorporated random carbon nanotubes (CNT). A large length of the remote nanotubes generates a lot of intersections that induce a rather small percolating threshold of the global conductivity in this medium. We simulate such a system by random cylinders placed in a percolating parallelepiped with the use of Monte Carlo method. The conductivity of such a structure is associated with the critical phenomena, where the main transition parameter is defined by the value of the percolation threshold. We calculate the minimal percolating threshold and determine the functional form of the conductivity by the global optimization technique. Such an approach allows studying the details of the electrical conductivity in nanocomposites even at significant level of the percolating fluctuations.