Percolation threshold for Bruggeman composites

Goncharenko, Anatoliy V.; Venger, É. F.

doi:10.1103/physreve.70.057102

Cited by 25 publications

(30 citation statements)

References 23 publications

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“…It takes into account the parameters previously neglected by other researchers. It gives a good agreement in the case of polymer composites filled with carbon black beyond the percolation threshold [14,15,[17][18][19][20][21][22]. Mamunya model cannot be used for filler concentrations lower than those of the percolation threshold and the term ((x − 2, 61)/27, 39) becomes negative in this area.…”

Section: Modeling Resultsmentioning

confidence: 76%

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Electrical Conductivity Modeling of Polypropylene Composites Filled with Carbon Black and Acetylene Black

Merzouki

Haddaoui

2012

ISRN Polymer Science

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Composites of polypropylene filled with carbon black or acetylene black at different concentrations were prepared by melt mixing followed by compression molding. The influences of filler type and filler concentration on the composites conductivity were studied. It was found that the percolation threshold is located at a lower concentration in composites filled with the acetylene black, than that of the composites filled with carbon black. The model of Mamunya gives a fairly good agreement in the evaluation of the conductivity of polymeric composites loaded with carbon black or acetylene black, beyond the percolation threshold. The Boltzman equation was adopted to develop a model that represents more faithfully all results obtained. The expressions of the electrical conductivity, calculated with the model developed, are in good agreement with experimental results for the entire concentration range studied in linear or semilogarithmic scale.

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Section: Modeling Resultsmentioning

confidence: 76%

“…This is explained by the fact that Mamunya model was designed primarily to predict the behavior of polymers filled with carbon black beyond the percolation threshold [14,15,[17][18][19][20][21][22].…”

Section: Modeling Resultsmentioning

confidence: 99%

Electrical Conductivity Modeling of Polypropylene Composites Filled with Carbon Black and Acetylene Black

Merzouki

Haddaoui

2012

ISRN Polymer Science

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“…Effective medium theories allow one to construct an effective dielectric constant ε e of a composite medium as a function of its constituents' properties (dielectric constants and shapes) as well as of the fractional volumes characterizing the mixture [25][26][27][28].…”

Section: B Effective Medium Theorymentioning

confidence: 99%

“…Equation (12) has several roots but only the one with Im(ε e ) ≥ 0 is physical since we are assuming passive materials (i. e., no optical gain). The percolation threshold f c corresponds to a critical value of the filling factor for which the composite medium undergoes an insulator-conductor transition, thereby exhibiting a dramatic change in its electrical and optical properties [26][27][28][29][30][31]. This critical filling factor is calculated by taking the quasi-static limit (ω → 0) in Eq.…”

Section: B Effective Medium Theorymentioning

confidence: 99%

Purcell effect at the percolation transition

et al. 2016

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We investigate the spontaneous emission rate of a two-level quantum emitter next to a composite medium made of randomly distributed metallic inclusions embedded in a dielectric host matrix. In the near-field, the Purcell factor can be enhanced by two-orders of magnitude relative to the case of an homogenous metallic medium, and reaches its maximum precisely at the insulator-metal transition. By unveiling the role of the decay pathways on the emitter's lifetime, we demonstrate that, close to the percolation threshold, the radiation emission process is dictated by electromagnetic absorption in the heterogeneous medium. We show that our findings are robust against change in material properties, shape of inclusions, and apply for different effective medium theories as well as for a wide range of transition frequencies.

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“…Although the MG model gives an overall description of the optical response, when compared to experimental values [25,26], it is not suitable for large volume fractions. For high volume fractions, the Bruggeman effective medium theory (BEMT) [27,28] is more adequate since, by construction, it is symmetric to the exchange of the dielectric functions of the particles and the host medium. Also, BEMT predicts a percolation transition from an insulator to a conductor at a critical volume fraction [29].…”

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confidence: 99%

Optical properties of anisotropic 3D nanoparticles arrays

Santiago

Esquivel‐Sirvent

2017

EPL

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-The optical properties of 3D periodic arrays of spheroidal Au nanoparticles are calculated using a Bruggeman effective medium approximation. The optical response of the supracrystal depends on the volume fraction of the nanoparticles and their aspect or size ratio (major/minor axis). All the nanoparticles have the same orientation, and this defines an anisotropic dielectric function of the crystal. As a function of the filling fraction, while keeping the size ratio fixed, the maximum in the extinction spectra along the major and minor axes does not show a significant change. However, for a fixed filling fraction, varying the aspect ratio of the particles induces a shift of several hundred of nanometers in the maximum of the extinction spectra along the major axis and almost no changes along the minor axis. Depending on the aspect ratio and the filling fraction, we show that the supra-crystal has three regimes with different values of an effective plasma frequency.

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Percolation threshold for Bruggeman composites

Cited by 25 publications

References 23 publications

Electrical Conductivity Modeling of Polypropylene Composites Filled with Carbon Black and Acetylene Black

Electrical Conductivity Modeling of Polypropylene Composites Filled with Carbon Black and Acetylene Black

Purcell effect at the percolation transition

Optical properties of anisotropic 3D nanoparticles arrays

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