Simulation of the electrical conductivity of two-dimensional films with aligned rod-like conductive fillers: effect of the filler length dispersity

Abstract

Using Monte Carlo simulation, we studied the electrical conductivity of two-dimensional films. The films consisted of a poorly conductive host matrix and highly conductive rod-like fillers (rods). The rods were of various lengths fitting a log-normal distribution. They could be aligned along a direction. Special attention was paid to films having completely aligned rods. The impact of length dispersity and the extent of rod alignment on the insulator-to-conductor phase transition was studied. The greater the length dispersity the smaller the critical concentration. The anisotropy of the electrical conductivity was more pronounced in the vicinity of the phase transition. A finite size effect was found to be significant only in the vicinity of the phase transition.

10 pages, 9 figures, 1 table, 51 references; submitted to Journal of Applied Physics

References in corpus (3)

• Percolation of linear $k$-mers on square lattice: from isotropic through partially ordered to completely aligned state
• Role of the particle size polydispersity in the electrical conductivity of carbon nanotube-epoxy composites
• Electrical conductivity of a monolayer produced by random sequential adsorption of linear $k$-mers onto a square lattice

Cited by in corpus (4)

• Electrical conductance of two-dimensional composites with embedded rodlike fillers: an analytical consideration and comparison of two computational approaches
• Sedimentation of a suspension of rods: Monte Carlo simulation of a continuous two-dimensional problem
• Analytical modeling of orientation effects in random nanowire networks
• Connectedness percolation in the random sequential adsorption packings of elongated particles