Crosslinked polymer chains with excluded volume: A new class of branched polymers?

Details Crosslinked polymer chains with excluded volume: A new class of branched polymers? Crosslinked polymer chains with excluded volume: A new class of branched polymers?

1997-11-26

arxiv.org/abs/cond-mat/9711280v1

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 2 figures, accepted in Macromol. Theory Simul

Scientific paper

In this note microgels with and without excluded volume interactions are considered. Based on earlier exact computations on Gaussian mircogels, which are formed by self-crosslinking (with $M$ crosslinks) of polymer chains with chain length $N$ Flory type approximations are used to get first insight to their behavior in solution. It is shown that two different types of microgels exist: A special type of branched polymer whose size scales as $R \propto N^{2/5} M^{-1/5}$, instead of $R \propto N^{1/2}$. The second type are $c^*$ - microgels whose average mesh sizes $r$ are swollen and form self avoiding walks with a scaling law of the form $r = a (N/M)^{3/5}$.

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