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

T. A. Vilgis

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arXiv · cond-mat/9711280

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

T. A. Vilgis

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Abstract

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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T. A. Vilgis. 1997-11-26. Crosslinked polymer chains with excluded volume: A new class of branched polymers?. https://arxiv.org/abs/cond-mat/9711280

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