McLeish, Thomas Charles orcid.org/0000-0002-2025-0299 and Schaefer, Charley (2021) Power Law Stretching of Associating Polymers in Steady-State Extensional Flow. Physical Review Letters. 057801. ISSN 1079-7114
Abstract
We present a tube model for the Brownian dynamics of associating polymers in extensional flow. In linear response, the model confirms the analytical predictions for the sticky diffusivity by Leibler-Rubinstein-Colby theory. Although a single-mode Doi-Edwards-Marrucci-Grizzuti approximation accurately describes the transient stretching of the polymers above a “sticky” Weissenberg number (product of the strain rate with the sticky-Rouse time), the preaveraged model fails to capture a remarkable development of a power law distribution of stretch in steady-state extensional flow: while the mean stretch is finite, the fluctuations in stretch may diverge. We present an analytical model that shows how strong stochastic forcing drives the long tail of the distribution, gives rise to rare events of reaching a threshold stretch, and constitutes a framework within which nucleation rates of flow-induced crystallization may be understood in systems of associating polymers under flow. The model also exemplifies a wide class of driven systems possessing strong, and scaling, fluctuations.We present a tube model for the Brownian dynamics of associating polymers in extensional flow. In linear response, the model confirms the analytical predictions for the sticky diffusivity by Leibler-Rubinstein-Colby theory. Although a single-mode Doi-Edwards-Marrucci-Grizzuti approximation accurately describes the transient stretching of the polymers above a “sticky” Weissenberg number (product of the strain rate with the sticky-Rouse time), the preaveraged model fails to capture a remarkable development of a power law distribution of stretch in steady-state extensional flow: while the mean stretch is finite, the fluctuations in stretch may diverge. We present an analytical model that shows how strong stochastic forcing drives the long tail of the distribution, gives rise to rare events of reaching a threshold stretch, and constitutes a framework within which nucleation rates of flow-induced crystallization may be understood in systems of associating polymers under flow. The model also exemplifies a wide class of driven systems possessing strong, and scaling, fluctuations.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | silk spinning,Rheology of entangled polymers,associating polymers,Power-law size-structure,Non-linear models,Extensional flow,driven systems |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Physics (York) |
Funding Information: | Funder Grant number EPSRC EP/N031431/2 |
Depositing User: | Pure (York) |
Date Deposited: | 08 Feb 2021 13:00 |
Last Modified: | 16 Oct 2024 17:19 |
Published Version: | https://doi.org/10.1103/PhysRevLett.126.057801 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1103/PhysRevLett.126.057801 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:170852 |
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Licence: CC-BY 2.5