Light scattering from dilute polymer solutions in shear flow

Link, Alfred; Springer, J.

doi:10.1021/ma00055a010

Cited by 89 publications

(102 citation statements)

References 12 publications

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“…The higher the concentration, the more the chains are orientated along the flow direction. Such a concentration effect has also been reported in light scattering experiments [86], where dilute polymer solutions are considered. A comparison of the experimental data with the simulation results is presented in Fig.…”

Section: Alignmentsupporting

confidence: 66%

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Semidilute Polymer Solutions at Equilibrium and under Shear Flow

et al. 2010

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The properties of semidilute polymer solutions are investigated at equilibrium and under shear flow by mesoscale simulations, which combine molecular dynamics simulations and the multiparticle collision dynamics approach. In semidilute solution, intermolecular hydrodynamic and excluded volume interactions become increasingly important due to the presence of polymer overlap. At equilibrium, the dependence of the radius of gyration, the structure factor, and the zero-shear viscosity on the polymer concentration is determined and found to be in good agreement with scaling predictions. In shear flow, the polymer alignment and deformation are calculated as a function of concentration. Shear thinning, which is related to flow alignment and finite polymer extensibility, is characterized by the shear viscosity and the normal stress coefficients

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Section: Alignmentsupporting

confidence: 66%

“…In Ref. [86], a factor β e ∼ [η]γ, where [η] is the intrinsic viscosity, is used to present the data. This quantity is proportional to Wi, since [η] is proportional to the longest relaxation time τ ; however, β e and Wi are not identical.…”

Section: Alignmentmentioning

confidence: 99%

Semidilute Polymer Solutions at Equilibrium and under Shear Flow

et al. 2010

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“…In the last period, the scattered intensities show a behaviour already observed at orientation phenomena from rate. If all experimental parameters like temperature, concentration and shear rate are strictly kept constant, the characterpolymer solution (8). The SIS formation can be regarded as a process which may be divided into three stages: induc-istic times t ind and t orient are reproducible.…”

Section: Shear Rate Dependence Of the Light Scatteringmentioning

confidence: 99%

Light Scattering Experiments on Shear Induced Structures of Micellar Solutions

Prötzl

Springer

1997

Journal of Colloid and Interface Science

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“…An average polymer extension and angular orientation were theoretically considered also in Ref. [8], where the results of calculations were compared with light scattering measurements [16,17].In this Letter we concentrate on statistics of angular orientation and tumbling and scaling relations of their characteristics for a single DNA molecule in a shear flow, when thermal fluctuations are the main cause for tumbling.It is well known that a probability distribution function (PDF) of the end-to-end vector R for a polymer described by a dumbbell model with a linear relaxation in a simple shear is Gaussian [7]. Nevertheless, PDFs of the polymer extension, | R| ≡ R, as well as polymer angular orientation are strongly non-Gaussian due to anisotropy introduced by the shear.…”

mentioning

confidence: 98%

Statistics of Tumbling of a Single Polymer Molecule in Shear Flow

2006

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We present experimental results on statistics of polymer orientation angles relatively to shear plane and tumbling times in shear flow with thermal noise. Strong deviation of probability distribution functions (PDF) of these parameters from Gaussian was observed and a good accord with theory was found. The scaling relations of PDF widths for both angles as a function of the control parameter W i are verified and compared with numerics. An universal exponential PDF tail for the tumbling times and its predicted scaling with W i are also tested experimentally against numerics.PACS numbers: 23.23.+x, 56.65.Dy Dynamics and statistics of a single polymer molecule in stationary as well as in random flows have recently attracted attention of both experimentalists [1][2][3][4] and theorists [5][6][7][8][9][10]. Stretching dynamics and statistics and coil-stretch transition in these flows were investigated in detail. Besides, another remarkable effect was first observed in a shear flow [2], namely large fluctuations in a polymer elongation due to end-to-end aperiodic tumbling (see Fig.1D).Recently rather extensive theoretical [11,12] and numerical [13,14] efforts were conducted with the goal to understand the statistics of the angular orientation of a polymer molecule and of the tumbling time in a random velocity field with a mean shear. Shear flow with a thermal noise was considered there as a particular case. A role of thermal noise on a solid rod tumbling in a shear flow was first considered in Ref. [15]. Then the role of the Brownian fluctuations in the polymer dynamics and statistics was studied in numerical simulations [7], where, however, only the power spectral density and the statistics of polymer extension in a shear flow were investigated. An average polymer extension and angular orientation were theoretically considered also in Ref. [8], where the results of calculations were compared with light scattering measurements [16,17].In this Letter we concentrate on statistics of angular orientation and tumbling and scaling relations of their characteristics for a single DNA molecule in a shear flow, when thermal fluctuations are the main cause for tumbling.It is well known that a probability distribution function (PDF) of the end-to-end vector R for a polymer described by a dumbbell model with a linear relaxation in a simple shear is Gaussian [7]. Nevertheless, PDFs of the polymer extension, | R| ≡ R, as well as polymer angular orientation are strongly non-Gaussian due to anisotropy introduced by the shear. A functional form of the PDF of the polymer extension in a shear flow was first identified experimentally [2] and then explained theoretically and numerically [7].The main result of the recent theory [11,12] is the prediction of the intermittent (non-Gaussian) statistics of polymer angular orientation in a shear flow. Moreover, it was also shown that intermediate asymptotic of the angular polymer statistics bears some universal features independent of the nature of polymer random excitation [11,13,14]. The uni...

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Light scattering from dilute polymer solutions in shear flow

Cited by 89 publications

References 12 publications

Semidilute Polymer Solutions at Equilibrium and under Shear Flow

Semidilute Polymer Solutions at Equilibrium and under Shear Flow

Light Scattering Experiments on Shear Induced Structures of Micellar Solutions

Statistics of Tumbling of a Single Polymer Molecule in Shear Flow

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