Conductivity percolation on a cubic lattice with core-shell particles

Particles made by coating an insulating core with a thin layer (shell) of conducting materials, called core-shell particles, were recently proposed to realize materials with particular nano-scale structures. Such structures work as a "porous medium" of electric current, and their modified characteristics may be useful to improve some materials, such as transparent conducting films. We have already reported 2D simulation of such a conducting film with core-shell particles. In this report, the basic feasibility of this idea is tested within the framework of the percolation model and the random register network model. The observed critical behavior and critical exponents of conductivity are also discussed, for the first time for 3D situations with core-shell particles.