In this paper we use the mathematical methods of the homogenization theory to model the electrical conductivity of a two component nanostructure. We consider here a nanocomposite material in the form of a thin plate of negligible thickness compared to the diameter. Hence we assume that our problem is two-dimensional. As an example of such material we choose a carbon-palladium nanocomposite. We use the homogenization theory to study our problem, because of a complex microgeometry of the nanostructures. We show that the effective coefficient, under some assumptions, may be equal to a geometric mean of the coefficients of both components.

Date Published: 25 November 2014
PDF: 9 pages
Proc. SPIE 9290, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2014, 92901A (25 November 2014); doi: 10.1117/12.2075144

Published in SPIE Proceedings Vol. 9290:
Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2014
Ryszard S. Romaniuk, Editor(s)