ABSTRACT

Percolation theory and fractal geometry play an im portant and increasing role in elu­ cidating the behavior of complex systems. Both concepts are related to the observa­ tion of critical phenom ena and the problem of non-robust formulations. Thus it is im portant to identify critical concentrations of solubilizing agents, which are related to percolation thresholds in a percolation phenom enon for an optimal design of qual­ ity. Due to finite size effects such thresholds may not be very sharp and thus may remain hidden for a long time. However, a small change in the quality of one of the components may induce a large change in the system property if the concentration of that com ponent was close to a percolation threshold. To avoid such situations using a formulation approach based on the concept of percolation theory and abandoning as much as possible the so-far most popular “trial and error” m ethod are recommended.