On structural correlations in the percolation of hard-core particles

摘要

A cluster is said to percolate if it spans the physicaldimensions of the system in which it resides. Hence, in thethermodynamic limit the percolation threshold is identifiedwith the density at which the mean cluster size diverges.Many of the key results of percolation theory can be derivedusing lattice-based systems, such as a square or cubic arrayof sites in which the control parameter is the probability of agiven site being occupied