Conductance of Finite-Scale Systems with Multiple Percolation Channels

Abstract

We investigate properties of two-dimensional finite-scale percolation systems whose size along the current flow is smaller than the perpendicular size. Successive thresholds of appearing multiple percolation channels in such systems have been determined and dependencies of the conductance on their size and percolation parameter $p$ have been calculated. Various experimental examples show that the finite-scale percolation system is the natural mathematical model suitable for the qualitative and quantitative description of different physical systems.