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Entropy Driven Phase Transition in Polymer Gels: Mean Field Theory

Physics Department, Cleveland State University, Cleveland, OH 44115, USA
Entropy 2018, 20(7), 501; https://doi.org/10.3390/e20070501
Received: 16 April 2018 / Revised: 21 June 2018 / Accepted: 27 June 2018 / Published: 30 June 2018
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. View Full-Text
Keywords: crosslinking entropy; saturation; discontinuous phase transition crosslinking entropy; saturation; discontinuous phase transition
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MDPI and ACS Style

Kaufman, M. Entropy Driven Phase Transition in Polymer Gels: Mean Field Theory. Entropy 2018, 20, 501. https://doi.org/10.3390/e20070501

AMA Style

Kaufman M. Entropy Driven Phase Transition in Polymer Gels: Mean Field Theory. Entropy. 2018; 20(7):501. https://doi.org/10.3390/e20070501

Chicago/Turabian Style

Kaufman, Miron. 2018. "Entropy Driven Phase Transition in Polymer Gels: Mean Field Theory" Entropy 20, no. 7: 501. https://doi.org/10.3390/e20070501

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