PERCOLATION TRANSITION INTO RANDOM-SIERPINSKI-CARPETS

Optical and electrical properties of inhomogeneous media, strongly dep end on the percolating properties of one of the component. In many cas es, inhomogeneous media present fractal structures near and at the per colation threshold, and in general, transport properties exhibit a ver y special behaviour in this concentration range. In contrast with the theoretical simulations, the scale invariance ratio of the real system s (granular metal films, porous media...) is limited which has a direc t influence on the percolating properties of the clusters. The real sp ace renormalization method is used to investigate the site percolation transition into random-Sierpinsky-carpets with various scale invarian ce ratio. It is shown that the fixed point of the renormalization grou p (i.e. the percolation threshold) is not unique bur depends on the nu mber of segmentation steps used to generate the fractal.