Anisotropy in electrical conductivity of two-dimensional films containing aligned nonintersecting rodlike particles: Continuous and lattice models

Abstract

The electrical conductivity of two-dimensional films filled with rodlike particles (rods) was simulated by the Monte Carlo method. The main attention has been paid to the investigation of the effect of the rod alignment on the electrical properties of the films. Both continuous and lattice approaches were used. Intersections of particles were forbidden. Our main findings are (i) both models demonstrate similar behaviors, (ii) at low concentration of rods, both approaches lead to the same dependencies of the electrical conductivity on the concentration of the rods, (iii) the alignment of the rods essentially affects the electrical conductivity, (iv) at some concentrations of partially aligned rods, the films may be conducting only in one direction, and (v) the films may simultaneously be both highly transparent and electrically anisotropic.

Sedimentation of a suspension of rods: Monte Carlo simulation of a continuous two-dimensional problem

“…At relatively small values of a m (< 100), the electrical conductivity was fairly high above the level of the mean geometrical conductivity defined as σ g = √ σ i σ c = 10 3 . We can treat a system with conductivity σ > σ g as conducting while a system with conductivity σ < σ g can be considered to be insulating [61,62]. The values of σ x and σ y continuously decreased with increasing a m , while loss of percolation at electrical conductivities smaller than the value of σ g can occur at large values of a m .…”

“…Therefore, we can only use this method for estimation of the behavior of electrical conductivity. Similar approaches have previously been applied for the estimation of electrical conductivities of aligned rods [62,63] and dried films of rods [64].…”

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

“…In all our computations, the electrical contrast, i.e., the ratio of the conductivity of the rods, σ p , to the conductivity of the substrate, σ m , was ∆ = 10 6 . To account the electrical conductivity of both the substrate and the fillers, a three-step transformation of the samples was performed 33,34,36 .…”

“…Recently, simulations of the electrical conductivity of two-dimensional (2D) systems with rod-like fillers of equal length have been performed both in lattice [30][31][32] and in continuous 33,34 approaches. In the present work, we have examined the effect of dispersity of filler length on the electrical conductivity of 2D composites with aligned rod-like fillers by means of computer simulation.…”

Effects of Brownian Motions on Electrical Conductivity and Optical Transparency of Two-Dimensional Films Filled by Needle-Like Particles

“…The analysis included discrete (lattice) [18] and continuous models [19,20], disordered and partially ordered systems, effects of polydispersity of a needle length [21], as well as effects associated with the presence of defects [18]. The anisotropy of the conductivity in monolayers [19,20] and the effects of self-organization/aging that arise in the presence of the Brownian diffusion [22][23][24] or in the presence of a vertical drying have been studied (see, in particular, [25]). The analysis of the behavior of the optical density in systems filled with ordered particles of an anisotropic form (disks or cylinders) [26] was also carried out.…”