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    Determination of percolation threshold and electrical conductivity of polyvinylidene fluoride (PVDF)/short carbon fiber (SCF) composites: effect of SCF aspect ratio
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    Abstract:
    Abstract Composites of polyvinylidene fluoride (PVDF) and short carbon fibers (SCFs) with different aspect ratios of the SCFs were prepared by the solution casting technique. The electrical percolation thresholds of the composites are highly influenced by the SCF aspect ratio calculated using both the Sigmoidal Boltzmann model and classical percolation theory. It was observed that the percolation threshold of PVDF/SCF composites decreases with an increase in the aspect ratio of the SCFs in the PVDF matrix. Different theoretical models were used to check the alignment of the SCFs in the PVDF matrix. The applicability of the theoretical models was tested to predict the composition‐dependent electrical conductivity at different SCF loadings and aspect ratios and the predictions were compared with experimental results. The effect of the fiber aspect ratio on the AC electrical conductivity was also investigated. Finally, the transparency of the composites was tested with the help of UV−visible spectroscopy and exhibits an SCF loading dependence in the PVDF matrix. © 2016 Society of Chemical Industry
    Keywords:
    Polyvinylidene fluoride
    Percolation (cognitive psychology)
    Percolation Theory
    Aspect ratio (aeronautics)
    Percolation (cognitive psychology)
    Volume fraction
    Percolation Theory
    Matrix (chemical analysis)
    Abstract Percolation theory aims at the study of very simple models of disordered systems. I try to demonstrate how mechanical, electrical, superconducting, optical, etc. properties of thin semicontinuous metal films on dielectric substrates can be explained by percolation models and how various concepts and results of percolation theory ranging from the existence of a sharply defined percolation threshold to the most sophisticated issues such as that of the detailed structure of large percolation clusters can help in understanding the experimental observations.
    Percolation Theory
    Percolation (cognitive psychology)
    Citations (32)
    Abstract To investigate the stretching effect of polymer‐based composites, the films of polyvinylidene fluoride (PVDF) and nickel (Ni) composites were stretched at 120°C. It was found there was an abrupt increase in dielectric constants and conductivities with stretching ratio (SR). In comparison to percolation effect caused by involvement of conductive particles, it was named as stretching‐induced percolation here. When SR was near the threshold, dielectric constants showed 17 times improvement and conductivities displayed four to five orders of magnitude enhancement at 100 Hz in low Ni fraction composites. And the reasons of stretching‐induced percolation were analyzed here. © 2010 Wiley Periodicals, Inc. J Appl Polym Sci, 2011
    Polyvinylidene fluoride
    Percolation (cognitive psychology)
    Citations (7)
    In this paper we are using the MVHR model in order to better understand the percolation theory and the impact of gate oxide process conditions.
    Percolation Theory
    Percolation (cognitive psychology)
    Deposition
    The geometrical features of discontinuous Pb films are analyzed in terms of the scaling theory of percolation. Above the percolation threshold it is shown that the infinite cluster as well as the backbone has an anomalous mass distribution up to a length of the order of the percolation correlation length (${\ensuremath{\xi}}_{p}$), corresponding to that of self-similar objects. Above ${\ensuremath{\xi}}_{p}$, the mass distribution is homogeneous. Below the percolation threshold, the cluster statistics agrees with scaling theory.
    Percolation (cognitive psychology)
    Percolation Theory
    Cluster size
    Continuum percolation theory
    Directed percolation
    Citations (142)
    Percolation Theory
    Percolation (cognitive psychology)
    Continuum percolation theory