A percolation model for carbon nanotube-polymer composites using the Mandelbrot-Given curve
M. Monajjemi1, H. Baheri2, F. Mollaamin3
1 Department of Chemistry Science and Research Branch Islamic Azad University
2 Science and Research Branch Islamic Azad University, h.baheri@gmail.com
3 Department of Chemistry Qom Branch Islamic Azad University
Keywords: percolation theory, fractal, Mandelbrot-Given curve, carbon nanotube composites
Pages: 60-64
Abstract
A model is introduced for the conductivity of carbon-nanotube polymer composites based upon percolation theory and fractals. These types of polymer composites have been developed in the recent years, and experimental data on their percolation threshold is available. We constructed a fractal space with the aim of the generalized Mandelbrot-Given curve and used the experimental critical exponent of conductivity to calculate the parameters of such a curve. Finally, the moments of the current distribution function are estimated, and the effect of the critical exponent on this function is investigated.
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