Electrical conductivity of graphene-containing composites by the conduction and volume share of networked interphase and the properties of tunnels applicable in breast cancer sensors

An original model is advanced for conductivity of polymer graphene composites by tunneling effect and interphase piece. The conduction and volume share of networked interphase are defined and considered. Besides, the properties of tunnels such as tunneling length, tunneling resistivity and contact diameter are supposed, which affect the percolation beginning and conductivity. Consequently, the novel model approximates the nanocomposite's conductivity by the properties of graphene, tunnels and interphase. The impressions of all factors on the conductivity are evaluated and justified. Furthermore, the model's forecasts are matched to the experimented facts of some examples. The conduction and diameter of graphene directly affect the conductivity. Additionally, the suggested model shows the positive characters of big interphase and narrow tunnels in the conductivity, despite the fact that narrow interphase and large tunnels cause an insulated nanocomposite. The outputs of novel model display good matching with the experimented facts. These evidences confirm the correctness of the suggested model, which can replace the conventional models in future studies. The developed model can optimize the breast cancer sensors, because the conductivity is an important term for detection.