4.3.3 Scaling Laws of Aggregate Formation

The existence of scaling laws for the aggregation kinetics of colloidal particles has attracted considerable interest. These concepts have become a part of the description of systems far from equilibrium, since they allow a quantitative evaluation of the role of a number of physicochemical factors on aggregation kinetics. The formation of colloidal aggregates over time due to Brownian collisions was originally established by von Smoluchowski by considering [41]

which describes the formation of aggregates composed of g and n elementary particles, where K(g, n) represents the rate constant of the reaction.

Swift and Friedlander [42] and Lushnikov [43] subsequently used von Smoluchow-ski's kinetic equation in its integro-differential form to derive the scaling laws of aggregate formation in the presence of an excess of electrolyte sufficient to ensure a regime of rapid aggregation:

0 0

Post a comment