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A comment on the position dependent diffusion coefficient representation of structural heterogeneity.

Molly Wolfson1, Christopher Liepold1, Binhua Lin1

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Summary
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Discrepancies in colloid suspension studies reveal that particle movement (mean square displacement) doesn't solely depend on local density. Particle forces are delocalized, impacting diffusion coefficient interpretations in heterogeneous systems.

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Area of Science:

  • Colloid Science
  • Statistical Mechanics
  • Soft Matter Physics

Background:

  • Mean square displacement (MSD) is crucial for understanding particle dynamics.
  • In confined colloid suspensions with density variations, MSD predictions often conflict with experimental data.
  • Previous models assumed particle forces are point functions of position.

Purpose of the Study:

  • To investigate the discrepancy between predicted and experimental MSD variations in confined colloid suspensions.
  • To re-evaluate the relationship between particle density, MSD, and force interactions.
  • To propose an interpretation for local equilibrium in inhomogeneous systems.

Main Methods:

  • Experimental studies of particle MSD in narrow ribbon channels and parallel plates.
  • New experimental data on radial and azimuthal MSD in a circular cavity.
  • Application of the Fisher-Methfessel interpretation for local equilibrium.

Main Results:

  • Experimental MSD variations do not consistently mimic density variations in confined colloid systems.
  • Density oscillations with particle diameter spacing were observed.
  • Particle forces were found to be delocalized over a volume with a radius equal to the particle diameter.

Conclusions:

  • The delocalized nature of particle forces explains the discrepancy between predicted and experimental MSD.
  • This finding impacts the translation of particle MSD into position-dependent diffusion coefficients.
  • The study provides insights into mass transport in heterogeneous systems.