The growth of the average size 〈smax〉 of the largest component at the percolation threshold pc(N) on a graph of size N has been defined as 〈smax(pc(N),N)〉∼Nχ. Here we argue that the precise value of the ‘growth exponent’ χ indicates the nature of percolation transition; χ1 or...

We study the restructuring process of diagenesis in sedimentary rocks using a geometrical model of percolation theory. The competing processes of cementation and dissolution of diagenesis are modelled by growth of vacant sites and culling of occupied sites in a percolation model depending on a...