Analysis of DC Electrical Conductivity Models of Carbon Nanotube-Polymer Composites with Potential Application to Nanometric Electronic Devices

Table 1

Mathematical models	Parameters			Electrical conductivity of the composite materials
Kirkpatrick’s model	Conductivity of the Filler	Critical exponent	Percolation threshold
	5𝐸−20–50𝐸−20			1𝐸−20–4.3𝐸−19
		0.1–0.8		1.4𝐸−21–4.3𝐸−19
			0.01–0.20	2𝐸−20–4.3𝐸−19
McLachlan’s model	Resistivity of the matrix	Critical exponent	Percolation threshold
	4𝐸13–5𝐸14			0.3𝐸−20–6.2𝐸−20
		1.68–1.90		5𝐸−21–2.5𝐸−20
			0.02–0.15	0.2𝐸−17–1.63𝐸−16
Mamunya’s model	Conductivity at the percolation threshold	Conductivity at the maximum packaging fraction	Packaging fraction
	1𝐸−30–1𝐸−22			6𝐸−15–1𝐸−10
		1𝐸−10–1𝐸−06		9𝐸−13–1𝐸−06
			0.055–0.64	2𝐸−13–1𝐸−10
Sigmoidal function model	Midpoint of the percolation region’s width	Conductivity of the filler	Width of the percolation region
	0.05–0.20			2.8𝐸−12–1𝐸−10
		1.5𝐸−15–1𝐸−07		8𝐸−15–1𝐸−19
			5𝐸−03–45𝐸−03	1.7𝐸−09–1𝐸−10