Coagulation Equations with Gelation

  title={Coagulation Equations with Gelation},
  author={Erik J. M. Hendriks and M. H. Ernst and Robert M. Ziff},
Smoluchowski's equation for rapid coagulation is used to describe the kinetics of gelation, in which the coagulation kernel Kij models the bonding mechanism. For different classes of kernels we derive criteria for the occurrence of gelation, and obtain critical exponents in the preand postgelation stage in terms of the model parameters; we calculate bounds on the time of gelation to, and give an exact postgelation solution for the model K,j = (/j)'~ (~0 > 1/2) and Kq = a i+j (a > 1). For the… CONTINUE READING

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