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

Abstract

Abstract-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.

Software para calcular la probabilidad crítica de percolación en un sistema de nanotubos desordenados aplicado al estudio de sus radios en materiales conductores

“…Para determinar si existen contactos entre los nanotubos, existen dos factores importantes con los cuales un cilindro puede tocar a otro: el grosor del nanotubo (radio = r) y la longitud o largo del nanotubo (altura = h) [19], es por ello que, para determinar los contactos entre nanotubos, utilizamos las siguientes ecuaciones:…”