Journal ArticleDOI
Kinetics of polymerization
TLDR
It is shown that three basic models of the Flory-Stockmayer theory of polymerization may all be described directly by means of a kinetic rate equation of a form first discussed by Smoluchowski, and correspond to the three known classes of solutions to this equation.Abstract:
It is shown that three basic models of the Flory-Stockmayer theory of polymerization may all be described directly by means of a kinetic rate equation of a form first discussed by Smoluchowski, and correspond to the three known classes of solutions to this equation. The kinetics of gelation are discussed from the rate equation; the nature of both the Flory and the Stockmayer gelation theories is shown, and a new model of gelation is proposed. Some new solutions to Smoluchowski's equation are given in an appendix.read more
Citations
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Deterministic and stochastic models for coalescence (aggregation and coagulation): a review of the mean-field theory for probabilists
TL;DR: A wide-ranging survey of general kernels of the Marcus-Lushnikov model of stochastic coalescence and the underlying deterministic approximation given by the Smoluchowski coagulation equations is attempted.
Book
Kinetics of Aggregation and Gelation
TL;DR: Six kinetic growth models that have witnessed an explosion of recent activity are defined and some of the approaches used to study these models are described, with emphasis on the re normalization group approach being developed by us.
Journal ArticleDOI
Geometrical cluster growth models and kinetic gelation
TL;DR: The paper begins with an introduction to the field of growth models showing what makes them different from stalic models and a principal role in these relations plays the fractal dimension.
Book ChapterDOI
Microgels-Intramolecularly Crossünked Macromolecules with a Globular Structure
TL;DR: In this paper, the most important structural characteristic of crosslinked polymers, the crosslink density, could mostly be determined by indirect methods only, or was expressed relatively by the fraction of crosslinking monomers used in the synthesis.
Journal ArticleDOI
Coagulation Equations with Gelation
TL;DR: It is argued that the kernelKij∼ijω with ω≃1−1/d effectively models the sol-gel transformation in polymerizing systems and approximately accounts for the effects of cross-linking and steric hindrance neglected in the classical theory of Flory and Stockmayer.
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