On the physical interpretation of a transitional amplitude in percolation theory

Deals with the physical interpretation of the 'transitional amplitude' Delta E, a parameter of percolation theory determined by the derivative mean size of clusters S: Delta E=x(dS/dx)+S; Delta E=S(1+LR)= epsilon -( gamma +1), where epsilon =x-xc, and LR is the average number of red bonds in an incipient infinite cluster.