A network simulation of anisotropic percolation

Abstract

We have studied the bond percolation problem of 3D anisotropic networks characterized by the anisotropy parameter R = p∥/ p⟩. A threshold shift exponent, 2.3 ± 0.1, compatible with the exponent of the 2D clusters average size is obtained by a numerical simulation. An electrical conductivity expression above threshold is established on each side of the 3 to 2D crossover probability. However, near the percolation threshold, anisotropic size effects play a very important role in the finite network experiments