We briefly review recent work on universal finite-size scaling functions (UFSSFs) and quantities in percolation models … percolation probability P, and the probability Wn of the appearance of n percolating clusters, (b) universal slope for average … number of percolating clusters, (c) UFSSFs for a q-state bond-correlated percolation model corresponding to the q-state Potts …

The standard percolation theory uses objects of the same size. Moreover, it has long been observed that the percolation … universality of the percolation theory is still valid. In this study, the effect of power law size distribution on the critical … exponents of the percolation theory of the two dimensional models is investigated. Two different object shapes i.e., stick …

anisotropy. If the latter is constant within a non-vanishing region close to the percolation threshold, a single critical …