Entropy Driven Phase Transition in Polymer Gels: Mean Field Theory

Autor: Miron Kaufman
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Entropy, Vol 20, Iss 7, p 501 (2018)
Druh dokumentu: article
ISSN: 1099-4300
DOI: 10.3390/e20070501
Popis: 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.
Databáze: Directory of Open Access Journals
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