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Polymers 2013, 5(2), 643-678; doi:10.3390/polym5020643
Article

Fluctuating Entanglements in Single-Chain Mean-Field Models

1,2,3,* , 1,2
 and 1,2
Received: 22 March 2013; in revised form: 9 May 2013 / Accepted: 20 May 2013 / Published: 3 June 2013
(This article belongs to the Special Issue Multiscale Simulations in Soft Matter)
Download PDF [489 KB, uploaded 3 June 2013]
Abstract: We consider four criteria of acceptability for single-chain mean-field entangled polymer models: consistency with a multi-chain level of description, consistency with nonequilibrium thermodynamics, consistency with the stress-optic rule, and self-consistency between Green–Kubo predictions and linear viscoelastic predictions for infinitesimally driven systems. Each of these topics has been considered independently elsewhere. However, we are aware of no molecular entanglement model that satisfies all four criteria simultaneously. Here we show that an idea from Ronca and Allegra, generalized to arbitrary flows, can be implemented in a slip-link model to create a model that does satisfy all four criteria. Aside from the direct benefits of agreement, the result modifies the relation between the initial relaxation modulus G(0) and the entanglement molecular weight Me. If this implementation is correct, current estimates for Me would require modification that brings their values more in line with estimates based on topological analysis of molecular dynamics simulations.
Keywords: entangled polymers; single-chain models; fluctuations entangled polymers; single-chain models; fluctuations
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Schieber, J.D.; Indei, T.; Steenbakkers, R.J.A. Fluctuating Entanglements in Single-Chain Mean-Field Models. Polymers 2013, 5, 643-678.

AMA Style

Schieber JD, Indei T, Steenbakkers RJA. Fluctuating Entanglements in Single-Chain Mean-Field Models. Polymers. 2013; 5(2):643-678.

Chicago/Turabian Style

Schieber, Jay D.; Indei, Tsutomu; Steenbakkers, Rudi J.A. 2013. "Fluctuating Entanglements in Single-Chain Mean-Field Models." Polymers 5, no. 2: 643-678.


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