Novel considerations on the scaling of rate kernels in the equations of cluster aggregation

The paper deals with the problem of scaling under calculating the rate kernels in the Smoluchowski equation of binary aggregation. Compact overview and critical analysis of the practiced today approaches have been submitted. It is shown that the known methods do not take sufficient account of the role of cluster internal restructuring under self-organization phenomena and dependence of their outward aggregation activity on the prehistory of cluster formation and their fine structure. The novel considerations on these two classes of problems which can be useful for creating a more careful methodology have been submitted.