Document Type

Article

Publication Date

7-2018

Publication Title

Entropy

Abstract

We present a mean field model of a gel consisting of P polymers, each of length L and Nz polyfunctional monomers. Each polyfunctional monomer forms z covalent bonds with the 2P bifunctional monomers at the ends of the linear polymers. We find that the entropy dependence on the number of polyfunctional monomers exhibits an abrupt change at Nz = 2P/z due to the saturation of possible crosslinks. This non-analytical dependence of entropy on the number of polyfunctionals generates a first-order phase transition between two gel phases: one poor and the other rich in poly-functional molecules.

Comments

This work was partially supported by the Institute of Advanced Studies of the University of Cergy Pontoise under the Paris Seine Initiative for Excellence (“Investissements d’Avenir” ANR-16-IDEX-0008).

DOI

10.3390/e20070501

Version

Publisher's PDF

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

Volume

20

Issue

7

Included in

Physics Commons

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