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Open Access Publications from the University of California

Two Models of Coagulation With Instantaneous Gelation

  • Author(s): Bechor, Elan J.
  • Advisor(s): Rezakhanlou, Fraydoun
  • et al.

Two models of coagulation are presented: one, a system of coupled partial differential equations and the other microscopic Brownian particles. Both models feature a parameter that represents the tendency of two particles to coagulate at sufficiently close distances. Both models have a phase transition, viewed as the mass clumping together as a gel. Previous work has shown the models are connected, and in here we show that their phase transition to instantaneous gelation is connected as well.

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