The Intrinsic Viscosities and Diffusion Constants of Flexible Macromolecules in Solution

Kirkwood, John G.; Riseman, Jacob

doi:10.1063/1.1746947

Cited by 1,464 publications

(612 citation statements)

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“…Kirkwood and Riseman [11] in their pioneering analysis of the translational diffusion coefficient of flexible macromolecules derived a purely geometrical expression for the polymer friction coefficient. The derived expression depends only on monomer-monomer distances in the chain.…”

Section: Introductionmentioning

confidence: 99%

Morphology and mobility of synthetic colloidal aggregates

Melas¹,

Isella²,

Konstandopoulos³

et al. 2014

Journal of Colloid and Interface Science

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The relationship between geometric and dynamic properties of fractallike aggregates is studied in the continuum mass and momentum-transfer regimes. The synthetic aggregates were generated by a cluster-cluster aggregation algorithm. The analysis of their morphological features suggests that the fractal dimension is a descriptor of a cluster's large-scale structure, whereas the fractal prefactor is a local-structure indicator. For a constant fractal dimension, the prefactor becomes also an indicator of a cluster's shape

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Section: Introductionmentioning

confidence: 99%

Morphology and mobility of synthetic colloidal aggregates

Melas¹,

Isella²,

Konstandopoulos³

et al. 2014

Journal of Colloid and Interface Science

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“…This compares favorably to the theoretical value of 0.64 ͑from renormalization group theory͒, 73 but less favorably to the value of ϳ0.67 from the Kirkwood-Riseman theory. 2 The latter prediction relies on preaveraging of the hydrodynamic interaction tensor. The renormalization group calculation does not make this approximation.…”

Section: ͑45͒mentioning

confidence: 99%

Hydrodynamic interactions in long chain polymers: Application of the Chebyshev polynomial approximation in stochastic simulations

Jendrejack

Graham

Pablo

2000

The Journal of Chemical Physics

160

175

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We have simulated Brownian bead-spring chains of up to 125 units with fluctuating hydrodynamic and excluded volume interactions using the Chebyshev polynomial approximation proposed by Fixman ͓Macromolecules 19, 1204 ͑1986͔͒ for the square root of the diffusion tensor. We have developed a fast method to continuously determine the validity of the eigenvalue range used in the polynomial approximation, and demonstrated how this range may be quickly updated when necessary. We have also developed a weak first order semiimplicit time integration scheme which offers increased stability in the presence of steep excluded volume potentials. The full algorithm scales roughly as O(N 2.25 ) and offers substantial computational savings over the standard Cholesky decomposition. The above algorithm was used to obtain scaling exponents for various static and zero shear rate dynamical properties, which are found to be consistent with theoretical and/or experimental predictions.

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“…͑1͒ is zero. 18 In the early work of Kirkwood and Riseman, 19 and later in the Zimm 20,21 theory, fluctuations of the equilibrium hydrodynamic interaction tensor were ignored in the interest of constructing a tractable analytical theory; D was taken to be its value with the structure fixed at equilibrium. A ''free-draining'' ͑FD͒ approximate model is obtained by neglecting hydrodynamic interactions (D i j ϭ0 for i j).…”

Section: Modelmentioning

confidence: 99%

Stochastic simulations of DNA in flow: Dynamics and the effects of hydrodynamic interactions

Jendrejack

Pablo

Graham

2002

The Journal of Chemical Physics

270

364

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We present a fully parametrized bead-spring chain model for stained -phage DNA. The model accounts for the finite extensibility of the molecule, excluded volume effects, and fluctuating hydrodynamic interactions ͑HI͒. Parameters are determined from equilibrium experimental data for 21 m stained -phage DNA, and are shown to quantitatively predict the non-equilibrium behavior of the molecule. The model is then used to predict the equilibrium and nonequilibrium behavior of DNA molecules up to 126 m. In particular, the HI model gives results that are in quantitative agreement with experimental diffusivity data over a wide range of molecular weights. When the bead friction coefficient is fit to the experimental relaxation time at a particular molecular weight, the stretch in shear and extensional flows is adequately predicted by either a free-draining or HI model at that molecular weight, although the fitted bead friction coefficients for the two models differ significantly. In shear flow, we find two regimes at high shear rate (␥ ) that follow different scaling behavior. In the first, the viscosity and first normal stress coefficient scale roughly as ␥ Ϫ6/11 and ␥ Ϫ14/11 , respectively. At higher shear rates, these become ␥ Ϫ2/3 and ␥ Ϫ4/3 . These regimes are found for both free-draining and HI models and can be understood based on scaling arguments for the diffusion of chain ends.

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The Intrinsic Viscosities and Diffusion Constants of Flexible Macromolecules in Solution

Cited by 1,464 publications

References 5 publications

Morphology and mobility of synthetic colloidal aggregates

Morphology and mobility of synthetic colloidal aggregates

Hydrodynamic interactions in long chain polymers: Application of the Chebyshev polynomial approximation in stochastic simulations

Stochastic simulations of DNA in flow: Dynamics and the effects of hydrodynamic interactions

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