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Intrinsic Viscosity of Polymers: General Theory Based on a Partially Permeable Sphere Model

Lu, Yuyuan and An, Lijia and Wang, Zhen-Gang (2013) Intrinsic Viscosity of Polymers: General Theory Based on a Partially Permeable Sphere Model. Macromolecules, 46 (14). pp. 5731-5740. ISSN 0024-9297. doi:10.1021/ma400872s. https://resolver.caltech.edu/CaltechAUTHORS:20130906-092122971

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Abstract

We present a general theory for the intrinsic viscosity of flexible polymers of arbitrary architecture. The theory is based on a partially permeable sphere model for which we introduce two phenomenological functions, the drag function ξ and the drainage function κ, that are determined by the density profile of the polymer. At the mean-field level, these functions capture the long-range, multibody, accumulative hydrodynamic interactions, that are responsible for the frictional dissipation in and around a polymer. The density profiles for a diversity of chain architectures are obtained by Monte Carlo simulation. Predictions from our theory are in good agreement with experimental data on all the polymer structures examined, ranging from linear, ring, and stars to hyperbranched and dendrimers. The concepts and methods we introduce in this work should be useful for studying other dilute solution frictional properties, such as the self-diffusivity, and provide a convenient framework for understanding the relationship between the molecular architecture and their dilute solution properties.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1021/ma400872s DOIArticle
http://pubs.acs.org/doi/abs/10.1021/ma400872sPublisherArticle
ORCID:
AuthorORCID
Lu, Yuyuan0000-0002-4073-678X
Wang, Zhen-Gang0000-0002-3361-6114
Additional Information:© 2013 American Chemical Society. Received: April 28, 2013; Revised: June 24, 2013; Published: July 2, 2013. This work is supported, in part, by the National Natural Science Foundation of China (No. 21120102037) and further subsidized by the Special Funds for National Basic Research Program of China (No. 2012CB821500).
Funders:
Funding AgencyGrant Number
National Natural Science Foundation of China21120102037
Special Funds for National Basic Research Program of China2012CB821500
Issue or Number:14
DOI:10.1021/ma400872s
Record Number:CaltechAUTHORS:20130906-092122971
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130906-092122971
Official Citation:Intrinsic Viscosity of Polymers: General Theory Based on a Partially Permeable Sphere Model Yuyuan Lu, Lijia An, and Zhen-Gang Wang Macromolecules 2013 46 (14), 5731-5740
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41138
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 Sep 2013 22:02
Last Modified:10 Nov 2021 04:26

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