Hydrodynamic screening and particle dynamics in porous media, semidilute polymer solutions and polymer gels

Altenberger, Andrzej R.; Tirrell, Matthew; Dahler, John S.

doi:10.1063/1.450665

Cited by 68 publications

(42 citation statements)

References 27 publications

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“…In this article, the equivalence of the Kirkwood-Riseman and Brinkman models is demonstrated, thereby showing the close relationship between derivations based on point scatterers (Freed and Muthukumar, 1978;Altenberger et al, 1986) and those based on Brinkman's equation (Cukier, 1984;Phillips et al, 1989). The theory and experimental apparatus needed to measure diffusion by holographic interferometry are then presented, our experimental results are given, and we conclude with a discussion of our results in light of the theories mentioned above.…”

Section: March 1995mentioning

confidence: 60%

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Measurement of protein diffusion in Dextran solutions by holographic interferometry

Kosar

Phillips

1995

AIChE Journal

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Theories and experimental measurements related to the diffusion of globular macromolecules and small spheres in polymer solutions are discussed. It is shown that the Kirkwood-Riseman point scatterer and Brinkman models, two theoretical approaches that lead to hydrodynamic screening, are equivalent. Holographic interferometry is presented as a new method for measuring gradient diffusion of proteins in transparent polymer solutions and gels. This method is used to examine the effect of ionic strength, polymer concentration and polymer molecular weight on the diffusion of bovine serum albumin (BSA) in dextran solutions. The data are interpreted in light of the hydrodynamic screening and Stokes-Einstein models of diffusion. In particular, it is shown that while the Stokes-Einstein equation may be appropriate for the diffusion of relatively large latex spheres in polymer solutions, it is inappropriate for predicting diffusion coefficients of BSA and comparable proteins in such solutions. D

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Section: March 1995mentioning

confidence: 60%

“…The effect of the perturbation fields can be calculated by direct summation (Freed and Muthukumar, 1978;Altenberger et al, 1986), using the assumption that the singularities are evenly distributed in space.…”

Section: Equivalence Of the Brinkman And Kirkwood-riseman Modelsmentioning

confidence: 99%

Measurement of protein diffusion in Dextran solutions by holographic interferometry

Kosar

Phillips

1995

AIChE Journal

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“…24-26. There are a few ͑semi-͒ phenomenological theories on translational diffusion of tracer spheres through networks. [27][28][29][30][31] In Refs. 14 and 15 of the present authors, an attempt has been made to develop a microscopic theory for tracer diffusion of spheres through relatively simple net-a͒ works of stiff, long, and thin rods, where both ͑screened͒ hydrodynamic interactions and direct interactions between the tracer sphere and the rod network are explicitly accounted for.…”

Section: Introductionmentioning

confidence: 99%

Diffusion of spheres in isotropic and nematic networks of rods: Electrostatic interactions and hydrodynamic screening

Kang

Wilk

Patkowski

et al. 2007

The Journal of Chemical Physics

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Translational diffusion of a small charged tracer sphere in isotropic and nematic suspensions of long and thin charged rods is investigated as a function of ionic strength and rod concentration. A theory for the diffusive properties of a small sphere is developed, where both (screened) hydrodynamic interactions and charge interactions between the tracer sphere and the rod network are analyzed. Hydrodynamic interactions are formulated in terms of the hydrodynamic screening length. As yet, there are no independent theoretical predictions for the hydrodynamic screening length for rod networks. Experimental tracer-diffusion data are presented for various ionic strengths as a function of the rod concentration, both in the isotropic and nematic states. Orientational order parameters are measured for the same ionic strengths as a function of the rod concentration. The hydrodynamic screening length is determined from these experimental data and scaling relations obtained from the above mentioned theory. For the isotropic networks, a master curve is found for the hydrodynamic screening length as a function of the rod concentration. For the nematic networks the screening length turns out to be a very sensitive function of the orientational order parameter.

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“…For cross-linked networks, it has been shown experimentally for various kinds of systems, that D s /D 0 indeed scales with a/ . Except for a mode coupling approach that is valid only in the vicinity of the isotropic-nematic phase transition, 29,30 the existing theories [25][26][27][28] treat diffusion of spheres in rod networks with the neglect of the dynamics of the network itself. In that case this scaling is also predicted by theory.…”

Section: -9mentioning

confidence: 99%

“…[21][22][23][24] There are a number of theories on translational diffusion of tracer spheres through networks. [25][26][27][28] In all these theories it is assumed that the network can be described as being fixed in space. This results in the above mentioned a/ scaling, which is shown to be invalid for dynamical networks of rods ͑see Ref.…”

Section: Introductionmentioning

confidence: 99%

Diffusion of spheres in crowded suspensions of rods

Kang

Gapiński

Lettinga

et al. 2005

The Journal of Chemical Physics

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Translational tracer diffusion of spherical macromolecules in crowded suspensions of rodlike colloids is investigated. Experiments are done using several kinds of spherical tracers in fd-virus suspensions. A wide range of size ratios L/2a of the length L of the rods and the diameter 2a of the tracer sphere is covered by combining several experimental methods: fluorescence correlation spectroscopy for small tracer spheres, dynamic light scattering for intermediate sized spheres, and video microscopy for large spheres. Fluorescence correlation spectroscopy is shown to measure long-time diffusion only for relatively small tracer spheres. Scaling of diffusion coefficients with a/ , predicted for static networks, is not found for our dynamical network of rods ͑with the mesh size of the network͒. Self-diffusion of tracer spheres in the dynamical network of freely suspended rods is thus fundamentally different as compared to cross-linked networks. A theory is developed for the rod-concentration dependence of the translational diffusion coefficient at low rod concentrations for freely suspended rods. The proposed theory is based on a variational solution of the appropriate Smoluchowski equation without hydrodynamic interactions. The theory can, in principle, be further developed to describe diffusion through dynamical networks at higher rod concentrations with the inclusion of hydrodynamic interactions. Quantitative agreement with the experiments is found for large tracer spheres, and qualitative agreement for smaller spheres. This is probably due to the increasing importance of hydrodynamic interactions as compared to direct interactions as the size of the tracer sphere decreases.

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Hydrodynamic screening and particle dynamics in porous media, semidilute polymer solutions and polymer gels

Cited by 68 publications

References 27 publications

Measurement of protein diffusion in Dextran solutions by holographic interferometry

Measurement of protein diffusion in Dextran solutions by holographic interferometry

Diffusion of spheres in isotropic and nematic networks of rods: Electrostatic interactions and hydrodynamic screening

Diffusion of spheres in crowded suspensions of rods

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