Probe diffusion in solutions of long-chain polyelectrolytes

Phillies, George D. J.; Malone, C. P.; Ullmann, Kathleen; Ullmann, Gregory S.; Rollings, J. E.; Yu, Li Ping

doi:10.1021/ma00175a037

Cited by 43 publications

(48 citation statements)

References 14 publications

(16 reference statements)

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“…Therefore, one cannot expect a direct relation between the diffusivity of a particle and the macroscopic viscosity of the suspension as it is measured in a viscosimeter. This violation of the Stokes-Einstein relation has been observed experimentally in light scattering experiments [25][26][27] and by x-ray photon correlation spectroscopy. 28 In order to elucidate the dynamics of colloids in polymer solutions in more detail, we perform-under well controlled conditions-experiments in which single isolated colloids are held in a stream of -DNA solution using optical tweezers.…”

Section: Introductionmentioning

confidence: 58%

Colloids dragged through a polymer solution: Experiment, theory, and simulation

Gutsche

Kremer

Krüger

et al. 2008

The Journal of Chemical Physics

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Document VersionPublisher's PDF, also known as Version of Record (includes final page, issue and volume numbers)Please check the document version of this publication:• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website.• The final author version and the galley proof are versions of the publication after peer review.• The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal ? Take down policyIf you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. We present microrheological measurements of the drag force on colloids pulled through a solution of -DNA ͑used here as a monodisperse model polymer͒ with an optical tweezer. The experiments show a drag force that is larger than expected from the Stokes formula and the independently measured viscosity of the DNA solution. We attribute this to the accumulation of DNA in front of the colloid and the reduced DNA density behind the colloid. This hypothesis is corroborated by a simple drift-diffusion model for the DNA molecules, which reproduces the experimental data surprisingly well, as well as by corresponding Brownian dynamics simulations.

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Section: Introductionmentioning

confidence: 58%

Colloids dragged through a polymer solution: Experiment, theory, and simulation

Gutsche

Kremer

Krüger

et al. 2008

The Journal of Chemical Physics

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“…It has been shown, see for instance Refs. (3)(4)(5)(6)(7)(8), that for particles dispersed in a polymer solution the Stokes-Einstein relation can noticeably fail if the solution viscosity is set equal to the bulk viscosity. It turns out that the viscosity experienced by the diffusing particles (so called effective or "microscopic" viscosity) is lower than the bulk (shear) viscosity.…”

Section: Introductionmentioning

confidence: 99%

“…As Eq. [4] can easily be linearized, the thickness of the depletion layer can be derived from the slope (which is equal to 3 d /R) when plotting Ϫ( r eff Ϫ r b )/( r eff Ϫ 2 3 r b ) as a function of ( r b Ϫ 1). We choose r b ϭ r p .…”

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confidence: 99%

Effective Viscosity of Polymer Solutions: Relation to the Determination of the Depletion Thickness and Thickness of the Adsorbed Layer of Cellulose Derivatives

Hoogendam

Peters

Tuinier

et al. 1998

Journal of Colloid and Interface Science

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“…The diffusion of polymeric particles or polymer chains in another polymer solution has received considerable attention [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Such a system consists of a sphere particle or labeled polymer, a matrix polymer and a solvent.…”

Section: Introductionmentioning

confidence: 99%

“…However, de Gennes argued about the topological effects on probe behavior [23], because hard sphere particles without entanglements do not reptate. Considering that interchain hydrodynamic interactions dominate over the effects of topological constraints, Phillies [1] proposed an equation, that is, D ¼ D 0 exp(ÀkC m ), to account for the concentration dependence of the self-diffusion coefficient for both spherical particles and polymer chains in dilute and semidilute solutions, where D 0 is the diffusion coefficient of the spherical particles or polymer chains in the absence of matrix polymer, C is the concentration of the matrix polymer, m and k are constants for a given sphere or labeled polymer chain with a certain radius and a matrix polymer with a certain molecular weight. The Phillies' equation has tested valid by some experiments, particularly those regarding flexible chain or solid sphere particle in flexible polymer solutions [24].…”

Section: Introductionmentioning

confidence: 99%