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Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy
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Short-time diffusion in concentrated bidisperse hard-sphere suspensions.

Mu Wang1, Marco Heinen1, John F Brady1

  • 1Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA.

The Journal of Chemical Physics
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Summary

Stokesian Dynamics simulations and a revised theoretical scheme accurately predict diffusion in bidisperse hard-sphere suspensions. This method works well across a wide range of particle densities and compositions.

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Area of Science:

  • Colloid and Interface Science
  • Soft Matter Physics
  • Computational Fluid Dynamics

Background:

  • Understanding particle diffusion is crucial in colloidal systems.
  • Hydrodynamic interactions significantly influence particle dynamics in suspensions.
  • Bidisperse suspensions, with two particle sizes, present complex diffusion behaviors.

Purpose of the Study:

  • To investigate diffusion in bidisperse Brownian hard-sphere suspensions.
  • To compare Stokesian Dynamics (SD) simulations with a semi-analytical theory.
  • To assess the accuracy of a modified theoretical scheme for predicting hydrodynamic functions.

Main Methods:

  • Utilizing Stokesian Dynamics (SD) computer simulations for accurate particle dynamics.
  • Employing a semi-analytical theoretical scheme based on Beenakker and Mazur's method.
  • Performing a comprehensive parameter scan of packing fractions and suspension compositions.

Main Results:

  • SD simulations accurately computed the diffusive relaxation of density modulations.
  • A revised δγ-scheme, with rescaling laws, showed high accuracy for mixtures.
  • The modified δγ scheme closely matched SD simulation results up to 40% packing fraction.

Conclusions:

  • The modified δγ theoretical scheme is a reliable tool for predicting diffusion in bidisperse hard-sphere suspensions.
  • The validated scheme offers accurate predictions across a broad range of densities.
  • This work advances the understanding of short-time dynamics in complex colloidal systems.