Critical concentration in percolating systems containing a high-aspect-ratio filler

Celzard, Alain; McRae, E.; Deleuze, C.; Dufort, M.; Furdin, G.; Marêché, J.F.

doi:10.1103/physrevb.53.6209

Cited by 498 publications

(359 citation statements)

References 20 publications

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“…The calculated values of V c are inversely proportional to ℓ/D, which is an intuitive result and is in agreement with previous theoretical predictions [14,16,17].…”

Section: Applicationsupporting

confidence: 79%

Electronic transport on carbon nanotube networks: A multiscale computational approach

Pereira

Ferreira

2011

Nano Communication Networks

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Carbon nanotube networks are one of the candidate materials to function as malleable, transparent, conducting films, with the technologically promising application of being used as flexible electronic displays. Nanotubes disorderly distributed in a film offers many possible paths for charge carriers to travel across the entire system, but the theoretical description of how this charge transport occurs is rather challenging for involving a combination of intrinsic nanotube properties with network morphology aspects. Here we attempt to describe the transport properties of such films in two different length scales. Firstly, from a purely macroscopic point of view we carry out a geometrical analysis that shows how the network connectivity depends on the nanotube concentration and on their respective aspect ratio. Once this is done, we are able to calculate the resistivity of a heavily disordered networked film. Comparison with experiment offers us a way to infer about the junction resistance between neighbouring nanotubes. Furthermore, in order to guide the frantic search for high-conductivity films of nanotube networks, we turn to the microscopic scale where we have developed a computationally efficient way for calculating the ballistic transport across these networks. While the ballistic transport is probably not capable of describing the observed transport properties of these films, it is undoubtedly useful in establishing an upper value for their conductivity. This can serve as a guideline in how much room there is for improving the conductivity of such networks.

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“…The calculated values of V c are inversely proportional to ℓ/D, which is an intuitive result and is in agreement with previous theoretical predictions [14,16,17].…”

Section: Applicationsupporting

confidence: 79%

Electronic transport on carbon nanotube networks: A multiscale computational approach

Pereira

Ferreira

2011

Nano Communication Networks

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“…Contradicting results have been published concerning the dependence of the percolation threshold on the aspect ratio. According to the excluded volume analysis of Celzard et al [11] the percolation threshold of a fiber suspension should decrease with increasing aspect ratio. The results of Bai et al [12] yield a decreasing percolation threshold with increasing CNT length while Martin et al [13] find an increasing percolation threshold with increasing CNT length.…”

Section: Percolation Thresholdsmentioning

confidence: 99%

A review and analysis of electrical percolation in carbon nanotube polymer composites

Bauhofer

Kovacs

2009

Composites Science and Technology

2,363

1,604

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We review experimental and theoretical work on electrical percolation of carbon nanotubes (CNT) in polymer composites. We give a comprehensive survey of published data together with an attempt of systematization. Parameters like CNT type, synthesis method, treatment and dimensionality as well as polymer type and dispersion method are evaluated with respect to their impact on percolation threshold, scaling law exponent and maximum conductivity of the composite. Validity as well as limitations of commonly used statistical percolation theories are discussed, in particular with respect to the recently reported existence of a lower kinetic (allowing for re-aggregation) and a higher statistical percolation threshold.

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“…Pike et al [12] and Balberg et al [13][14] extended the application of percolation theory to study network formation using randomly-orientated anisotropic particles, as a function of volume fraction, and electrical percolation in carbon nanotube polymer composites was recently reviewed by Bauhofer and Kovacs [15]. Several researchers have attempted to predict the effect of fibre aspect ratio and orientation distribution on the critical volume fraction required to achieve a percolating network [16][17][18][19][20]. However, all of these approaches tend to ignore the fibre-fibre and fibre-dispersion medium interactions other than the effects of excluded volume.…”

Section: Introductionmentioning

confidence: 99%

Modelling percolation in fibre and sphere mixtures: Routes to more efficient network formation

Rahatekar

Shaffer

Elliott

2010

Composites Science and Technology

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Critical concentration in percolating systems containing a high-aspect-ratio filler

Cited by 498 publications

References 20 publications

Electronic transport on carbon nanotube networks: A multiscale computational approach

Electronic transport on carbon nanotube networks: A multiscale computational approach

A review and analysis of electrical percolation in carbon nanotube polymer composites

Modelling percolation in fibre and sphere mixtures: Routes to more efficient network formation

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