Conductivity of stick percolation clusters with anisotropic alignments

The conductivity of random resistor networks composed from percolating clusters of two-dimensional (2D) stick systems with anisotropic alignments is analyzed by using a finite-size scaling analysis for comparison to the conductivity of single-walled carbon-nanotube bundle film networks. For the conductivity analysis, we first calculate the critical properties of the percolation transition of 2D stick systems with anisotropic alignments. Even though the percolation transition stick density increases rapidly as the anisotropy is enhanced, the conductivity and the critical properties hardly vary. The resultant conductivity exponent of the stick networks at the percolation threshold is nearly the same as that of the lattice critical percolation clusters regardless of the anisotropy and the resistance ratio r = R _jct/R _NT, where R _jct is the stick-to-stick junction resistance and R _NT is the resistance of a stick.