Kinetic growth model

Elderfield, D. (1985). Field theories for kinetic growth models. J. Phys. A, Math. Gen., 18, L773-80. 

The models put forward to describe polymer growth in silicate systems are divided into two types classical (or equilibrium) growth models and kinetic growth models (1,19,20). 

Figure 5.11 Simulated structures resulting from various kinetic growth models. Fractal dimensions are listed for three-dimensional clusters even though their two-dimensional analogs are displayed. Each cluster contains 1000 primary particles. Simulations by Meakin (24). (From Ref. 20.)...

An alternative description of gelation is given by kinetic growth models. These also explain the different microstructures upon changing the reaction conditions. Depending on the conditions, growth in silicate systems may occur predominantly by condensation of clusters with monomers or with other clusters. The rate of the condensation reactions may be diffusion or reaction limited. 

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