Connectedness percolation in isotropic systems of monodisperse spherocylinders

The dependence upon aspect ratio and connectedness range of the percolation threshold for monodisperse spherocylinders as calculated from an analogy between lattice and continuum percolation is compared with findings from: (i) recent Monte Carlo (MC) simulations, and: (ii) a recent elaboration of an integral equation-based approach that uses the connectedness Ornstein–Zernike equation. The results from each of these approaches are found to be in reasonable semi-quantitative agreement, especially for the case of particles that have a finite hard core diameter. (paper)