Computer Experiment on a 3D Site Percolation Model of Porous Materials-Its Connectivity and Conductivity

Onizuka, Kotaro

doi:10.1143/jpsj.39.527

Cited by 58 publications

(7 citation statements)

References 8 publications

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“…However, the nanoscale network gave a value of t = 1.65, in between that of the random network and the micro-network. Critical conductivity exponents t varying between 1.50 and 1.72 have previously been reported by Monte Carlo simulations in small-size 3D networks, suggesting that our experimental value of t = 1.65 is likely due to confinement size effects, compared to the much larger micro-network. − The values of t and the percolation thresholds ϕ c are summarized in Table for the different types of networks.…”

Section: Discussionmentioning

confidence: 56%

Ultralow Percolation Threshold in Nanoconfined Domains

Barbero

Boulanger

2017

ACS Nano

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Self-assembled percolated networks play an important role in many advanced electronic materials and devices. In nanocarbon composites, decreasing the percolation threshold ϕ is of paramount importance to reduce nanotube bundling, minimize material resources and costs, and enhance charge transport. Here we demonstrate that three-dimensional nanoconfinement in single-wall carbon nanotube/polymer nanocomposites produces a strong reduction in ϕ, reaching the lowest value ever reported in this system of ϕ ≈ 1.8 × 10 wt % and 4-5 orders of magnitude lower than the theoretical statistical percolation threshold ϕ. Moreover, a change in network resistivity and electrical conduction was observed with increased confinement, and a simple resistive model is used to accurately estimate the difference in ϕ in the confined networks. These results are explained in terms of networks' size, confinement, and tube orientation as determined by atomic force microscopy, electrical conductivity measurements, and polarized Raman spectroscopy. Our findings provide important insight into nanoscale percolated networks and should find application in electronic nanocomposites and devices.

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Section: Discussionmentioning

confidence: 56%

Ultralow Percolation Threshold in Nanoconfined Domains

Barbero

Boulanger

2017

ACS Nano

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“…In particular, the table in a paper 11) by Sahimi et al is interesting because it summarizes the value of estimated by means of a number of theoretical and experimental approaches for a normal 3D percolation model (the values of also shown in the paper have much smaller variations around ¼ 0:86). According to this table, there is an evident trend that the value of = from direct simulations takes smaller values ($2:0), 10,13,14) whereas the values estimated by renormaliza- In this work, these particle designs are used to simulate the size variations of the conducting materials. In this figure, the white sites are insulating sites whereas the black sites are conducting sites.…”

Section: Resultsmentioning

confidence: 99%

Conductivity Percolation on a Cubic Lattice with Two Different Sizes of Particles

et al. 2011

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Electric conductance of percolation clusters is calculated by means of random circuit approximation under a binary distribution in the size of the conducting particles. Although we have already investigated a similar size distribution model in 2D, a 3D version of this model has not been reported before. The size distribution of conducting particles induces a clear difference in the ensemble of a random circuit. Consequently, a significant change in the critical point and conductance compared to the monodisperse cases is observed.

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“…22 In this section, the 2D-DSPNs were modeled as resistive networks. The nodes of 2D-DSPNs are interconnected by resistive paths as illustrated in Fig.…”

Section: Conductance Calculation Of Resistive 2d-dspnsmentioning

confidence: 99%

Electrical conductance simulation of two-dimensional directional site percolated networks for porous silicon structures

Yeh

Hsu

1998

Journal of Applied Physics

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Electrical transport mechanisms in three dimensional ensembles of silicon quantum dots Two-dimensional porous silicon structures were modeled as two-dimensional directional site percolated networks ͑2D-DSPNs͒. In the present work, the 2D-DSPNs were modeled as resistive networks, and the electrical conductance values were numerically calculated. The effects of porosity and geometrical connection on the electrical conduction behavior were isolated and identified. It was shown that the geometrical connection of 2D-DSPNs makes the conduction behavior distinctly different from that in traditional random networks. A geometry anisotropic random walk model was developed to microscopically understand the macroscopic conduction behavior of 2D-DSPNs.

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Computer Experiment on a 3D Site Percolation Model of Porous Materials-Its Connectivity and Conductivity

Cited by 58 publications

References 8 publications

Ultralow Percolation Threshold in Nanoconfined Domains

Ultralow Percolation Threshold in Nanoconfined Domains

Conductivity Percolation on a Cubic Lattice with Two Different Sizes of Particles

Electrical conductance simulation of two-dimensional directional site percolated networks for porous silicon structures

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