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Intrinsic viscosity of polymers: From linear chains to dendrimers

Lu, Y. Y. and Shi, T. F. and An, L. J. and Wang, Z.-G. (2012) Intrinsic viscosity of polymers: From linear chains to dendrimers. Europhysics Letters, 97 (6). p. 64003. ISSN 0295-5075. doi:10.1209/0295-5075/97/64003.

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We present a simple theory for the intrinsic viscosity of polymers of arbitrary architectures, based on a partially permeable sphere model. The model introduces two phenomenological functions, the drainage function κ(r) and the drag function ξ(r), which are determined by the density profile, as a mean-field description of the multi-body, long-range and accumulated effects of the hydrodynamic interactions. By combining Debye's theory for free draining polymer chains with Einstein's theory for hard spheres, we arrive at a simple expression for the intrinsic viscosity. Results from our theory show broad agreement in all the key features of the intrinsic viscosity with existing experimental results for polymers ranging from linear chain to branched polymers to dendrimers.

Item Type:Article
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URLURL TypeDescription
Wang, Z.-G.0000-0002-3361-6114
Additional Information:© 2012 EPLA. Received 14 November 2011; accepted in final form 21 February 2012; published online 21 March 2012. This work was supported by the National Natural Science Foundation of China (No. 20734003) and the Fund for Creative Research Groups (No. 50921062), further subsidized by the Special Funds for National Basic Research Program of China (No. 2009CB930100).
Funding AgencyGrant Number
National Natural Science Foundation of China20734003
Fund for Creative Research Groups50921062
National Basic Research Program of China Special Funds2009CB930100
Subject Keywords:Soft matter, liquids and polymers; Fluid dynamics; Chemical physics and physical chemistry
Issue or Number:6
Classification Code:PACS: 47.57.Ng; 82.35.Lr; 66.20.Cy
Record Number:CaltechAUTHORS:20120502-145603835
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:31281
Deposited By: Jason Perez
Deposited On:02 May 2012 23:12
Last Modified:09 Nov 2021 19:49

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