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Open AccessArticle

Assessment of the Tumbling-Snake Model against Linear and Nonlinear Rheological Data of Bidisperse Polymer Blends

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Modeling Department, Novamechanics Ltd., P.O. Box 26014, 1666 Nicosia, Cyprus
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Department of Environmental Science and Technology, Cyprus University of Technology, PO Box 50329, 3603 Limassol, Cyprus
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Polymer Physics, Department of Materials, ETH Zurich, CH–8093 Zurich, Switzerland
*
Authors to whom correspondence should be addressed.
Polymers 2019, 11(2), 376; https://doi.org/10.3390/polym11020376
Received: 30 January 2019 / Revised: 12 February 2019 / Accepted: 16 February 2019 / Published: 20 February 2019
(This article belongs to the Special Issue Theory and Simulations of Entangled Polymers)
We have recently solved the tumbling-snake model for concentrated polymer solutions and entangled melts in the academic case of a monodisperse sample. Here, we extend these studies and provide the stationary solutions of the tumbling-snake model both analytically, for small shear rates, and via Brownian dynamics simulations, for a bidisperse sample over a wide range of shear rates and model parameters. We further show that the tumbling-snake model bears the necessary capacity to compare well with available linear and non-linear rheological data for bidisperse systems. This capacity is added to the already documented ability of the model to accurately predict the shear rheology of monodisperse systems. View Full-Text
Keywords: polymer melt; stochastic differential equation; link tension coefficient; entanglements; bidisperse systems polymer melt; stochastic differential equation; link tension coefficient; entanglements; bidisperse systems
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MDPI and ACS Style

Stephanou, P.S.; Kröger, M. Assessment of the Tumbling-Snake Model against Linear and Nonlinear Rheological Data of Bidisperse Polymer Blends. Polymers 2019, 11, 376.

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