Effect of aging on electrical conductivity of two-dimensional composite with rod-like fillers

Tarasevich, Yuri Yu.; Laptev, V. V.; Burmistrov, Andrei S.; Lebovka, Nikolaï

doi:10.1088/1742-6596/955/1/012006

Cited by 6 publications

(5 citation statements)

References 33 publications

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“…The study of percolation in systems of hard elongated particles is one of the central problems in statistical mechanics and has been attracting a great deal of interest since long ago [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. In this framework, the dimer is the simplest case of an extended object and, consequently, the percolation problem of irreversibly deposited dimers on a lattice has been extensively studied in the literature [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Percolation of defective dimers irreversibly deposited on honeycomb and triangular lattices

2018

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The percolation problem of irreversibly deposited dimers on honeycomb and triangular lattices is studied. A dimer is composed of two segments, and occupies two adjacent adsorption sites. Each segment can be either a conductive segment (segment type A) or a nonconductive segment (segment type B). Three types of dimers are considered: AA, BB, and AB. The connectivity analysis is carried out by accounting only for the conductive segments (segments type A), whereas the B segments occupy a site in the lattice but are not taken into account in the percolation study. Different cases were investigated, according to the types of dimers involved in the process. By means of numerical simulations and finite-size scaling techniques, the complete phase diagram separating the percolating from the nonpercolating regions was determined for each considered lattice. The present results are compared with the previous study of deposition of defective dimers on square lattices.

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Section: Introductionmentioning

confidence: 99%

Percolation of defective dimers irreversibly deposited on honeycomb and triangular lattices

2018

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“…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.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2019

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The effects of Brownian motions on the electrical conductivity and optical transparency of two-dimensional films filled with needle-like particles (needles) have been investigated, using the Monte-Carlo method. The initial state of the system was produced with the use of the random-sequential adsorption process. In the subsequent evolution (aging) of the system, the translation and rotation diffusion motions are taken into account. The intersections between needles are forbidden. The interaction potential between needles is short-range (i.e., it is nonzero at distances less than Rc) and is dependent on the angle between needles ф(∝ cos2 ф). The aging results in the formation of island, net-like, and hole-like (with significant cavities) structures depending on parameters of the interaction potential. The relations between the electrical conductivity and the optical transparency during the aging are discussed.

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“…Simulations of the electrical conductance of 2D systems with rodlike fillers of equal length have been performed using this method. [32][33][34][35][36] We will denote this approach as Model I. By contrast, within the second approach, the host matrix is completely ignored; the conducting fillers are considered to form an RRN of irregular geometry but with equal conductivity of its conductors.…”

Section: Introductionmentioning

confidence: 99%

Electrical conductance of two-dimensional composites with embedded rodlike fillers: an analytical consideration and comparison of two computational approaches

Tarasevich,

Vodolazskaya,

Eserkepov

et al. 2019

Preprint

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Using Monte Carlo simulation, we studied the electrical conductance of two-dimensional films. The films consisted of a poorly conductive host matrix and highly conductive rodlike fillers (rods). The rods were of various lengths, obeying a log-normal distribution. They were allowed to be aligned along a given direction. The impacts of length dispersity and the extent of rod alignment on the insulator-to-conductor phase transition were studied. Two alternative computational approaches were compared. Within Model I, the films were transformed into resistor networks with regular structures and randomly distributed conductances. Within Model II, the films were transformed into resistor networks with irregular structures but with equal conductivities of the conductors. Comparison of the models evidenced similar behavior in both models when the concentration of fillers exceeded the percolation threshold. Some analytical results were obtained: (i) the relationship between the number of fillers per unit area and the transmittance of the film within Model I, (ii) the electrical conductance of the film for dense networks within Model II.

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Effect of aging on electrical conductivity of two-dimensional composite with rod-like fillers

Cited by 6 publications

References 33 publications

Percolation of defective dimers irreversibly deposited on honeycomb and triangular lattices

Percolation of defective dimers irreversibly deposited on honeycomb and triangular lattices

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

Electrical conductance of two-dimensional composites with embedded rodlike fillers: an analytical consideration and comparison of two computational approaches

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