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Entropy, Vol. 20, Pages 501: Entropy Driven Phase Transition in Polymer Gels: Mean Field Theory

Entropy, Vol. 20, Pages 501: Entropy Driven Phase Transition in Polymer Gels: Mean Field Theory

Entropy doi: 10.3390/e20070501

Authors: Miron Kaufman

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.

Authors:   Kaufman, Miron
Journal:   Entropy
Volume:   20
edition:   7
Year:   2018
Pages:   501
DOI:   10.3390/e20070501
Publication date:   30-Jun-2018
Facts, background information, dossiers
  • polymer gels
  • molecules
  • dependence
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