Tunneling conductivity in anisotropic nanofibre composites: a percolation-based model

Abstract

The Critical Path Approximation ("CPA") is integrated with a lattice-based approach to percolation to provide a model for conductivity in nanofibre-based composites. Our treatment incorporates a recent estimate for the anisotropy in tunnelingbased conductance as a function of the relative angle between the axes of elongated nanoparticles. The conductivity is examined as a function of the volume fraction, degree of clustering, and of the mean value and standard deviation of the orientational order parameter. Results from our calculations suggest that the conductivity can depend strongly upon the standard deviation in the orientational order parameter even when all the other variables (including the mean value of the order parameter <S>) are held invariant.

arXiv comment35 pages, 9 figures

References in corpus (4)

• Random graphs with clustering
• Solution of the tunneling-percolation problem in the nanocomposite regime
• Quasiuniversal connectedness percolation of polydisperse rod systems
• Impact of tunneling anisotropy on the conductivity of nanorod dispersions

Cited by in corpus (5)

• Anisotropy in finite continuum percolation: Threshold estimation by Minkowski functionals
• Shape, connectedness percolation and electrical conductivity of clusters in suspensions of hard platelets
• Simulation study of the electrical tunneling network conductivity of suspensions of hard spherocylinders
• Geometric percolation of hard nanorods: the interplay of spontaneous and externally induced uniaxial particle alignment
• Electrical conductivity of randomly placed linear wires: a mean field approach