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Dynamics and Coupling of Concentration and Density Fluctuations in Binary Viscoelastic Liquids

Dynamics and Coupling of Concentration and Density Fluctuations in Binary Viscoelastic Liquids Abstract Dynamics and coupling of concentration and density fluctuations in a binary polymer solution have been analyzed using a microscopic approach. The calculation reinforces the result previously obtained by Wang on the same topic using the BearmanKirkwood hydrodynamic equation for a multicomponent system. We have shown that the dynamics of concentration fluctuations is affected by the solution viscoelasticity only when there is a difference in the specific volume between polymer and solvent components. The present work provides a derivation and an extension of BearmanKirkwood's result by further relating the partial longitudinal stress modulus of the polymer to the total longitudinal stress modulus of the solution. In the fast modulation limit, the present result also reduces to the macroscopic theory of Mountain and Deutch for an isothermal system. 1. Introduction Experimental and theoretical studies of quasielastic light (QEL) scattering of polymer solutions in the semidilute concentration regime have continued for over two decades. Brochard and de Gennes proposed in late 1970 a transient gel model to describe the semidilute polymer solution [1]. This model was use'd by Adam and Delsanti to interpret the QEL scattering spectrum observed in the semidilute polymer solution [2]. Application of this model has often http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Non-Equilibrium Thermodynamics de Gruyter

Dynamics and Coupling of Concentration and Density Fluctuations in Binary Viscoelastic Liquids

Journal of Non-Equilibrium Thermodynamics , Volume 20 (3) – Jan 1, 1995

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References (22)

Publisher
de Gruyter
Copyright
Copyright © 2009 Walter de Gruyter
ISSN
0340-0204
eISSN
1437-4358
DOI
10.1515/jnet.1995.20.3.274
Publisher site
See Article on Publisher Site

Abstract

Abstract Dynamics and coupling of concentration and density fluctuations in a binary polymer solution have been analyzed using a microscopic approach. The calculation reinforces the result previously obtained by Wang on the same topic using the BearmanKirkwood hydrodynamic equation for a multicomponent system. We have shown that the dynamics of concentration fluctuations is affected by the solution viscoelasticity only when there is a difference in the specific volume between polymer and solvent components. The present work provides a derivation and an extension of BearmanKirkwood's result by further relating the partial longitudinal stress modulus of the polymer to the total longitudinal stress modulus of the solution. In the fast modulation limit, the present result also reduces to the macroscopic theory of Mountain and Deutch for an isothermal system. 1. Introduction Experimental and theoretical studies of quasielastic light (QEL) scattering of polymer solutions in the semidilute concentration regime have continued for over two decades. Brochard and de Gennes proposed in late 1970 a transient gel model to describe the semidilute polymer solution [1]. This model was use'd by Adam and Delsanti to interpret the QEL scattering spectrum observed in the semidilute polymer solution [2]. Application of this model has often

Journal

Journal of Non-Equilibrium Thermodynamicsde Gruyter

Published: Jan 1, 1995

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