Theory of Gel Formation

Details Theory of Gel Formation Theory of Gel Formation

2007-05-31

arxiv.org/abs/0705.4591v1

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 4 figures, 2 Tables

Scientific paper

A theory of drop-wise addition polymerization is developed. Because of the linear growth of the reaction volume V, the system gives rise to a new type of distribution function for cyclic species that can be expressed by the sum of two terms: the conventional distribution term and a extra term due to the dilution effect. The present result is an extension of the conventional homogeneous polymerization that corresponds to a special case without the extra term. Making use of the result we derive the gel point formula for this unique polymerization. The theoretical result is compared with the recent observations.

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