Abstract
Colloidal aggregation and other stochastic aggregation and growth phenomena produce structures that behave qualitatively differently from ordinary bulk matter in many respects. This pedagogical review is intended to account for this new behavior and to survey the ways of making these new structures. A “fractal” spatial scale invariance property allows much of this behavior to be predicted. Special scaling properties of phenomena confined to such structures, such as electrical conductivity, are noted. Complementary phenomena, such as diffusing, hydrodynamic or electric fields in the space around the structure, are treated on a common basis using the geometric notion of the intersection of two fractals. The notion is extended to treat the thermodynamic interactions of such structures. When a certain “opacity” condition is met, these tenuous structures interact with their environment as though they were solid objects. A method of determining the fractal dimension D using displacement of a polymer solution by the fractal is described. Then two basic mechanisms producing these structures are treated. First, the reaction rates governing colloidal aggregation are discussed. This leads to a solvable schematic model. Corrections to the model due to excluded-volume and polydispersity effects are estimated.
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Witten, T.A. (1985). Random Kinetic Aggregation. In: Boccara, N., Daoud, M. (eds) Physics of Finely Divided Matter. Springer Proceedings in Physics, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93301-1_28
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DOI: https://doi.org/10.1007/978-3-642-93301-1_28
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