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Related Experiment Videos

Local size segregation in polydisperse hard sphere fluids

Pagonabarraga1, Cates, Ackland

  • 1Department of Physics and Astronomy, JCMB The King's Buildings, Mayfield Road, EH9 3JZ Edinburgh, United Kingdom.

Physical Review Letters
|October 4, 2000
PubMed
Summary

We studied hard sphere fluids with varying particle sizes near a wall using Rosenfeld density functional theory. Results show particles segregate by size near the wall, a finding linked to particle size changes in uniform fluids.

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Area of Science:

  • Statistical Mechanics
  • Physical Chemistry
  • Materials Science

Background:

  • Understanding fluid structure near interfaces is crucial in various scientific fields.
  • Polydisperse hard sphere systems present complex structural challenges due to size variations.

Purpose of the Study:

  • To investigate the structural organization of polydisperse hard sphere fluids adjacent to a wall.
  • To apply Rosenfeld density functional theory to tractable analysis of continuous size distributions.
  • To link wall-induced segregation phenomena with particle size modification energetics.

Main Methods:

  • Utilized Rosenfeld density functional theory (DFT) for analyzing fluid structure.
  • Simplified DFT by identifying key density field combinations governing local excess free energy.

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  • Employed perturbation theory for narrow size distributions to connect with monodisperse systems.

    • Main Results:

    • Predicted generic oscillatory size segregation of particles near the wall.
    • Demonstrated the tractability of continuous polydispersity within the DFT framework.
    • Established a connection between segregation and the reversible work of particle size change.

    Conclusions:

    • The study provides a theoretical framework for understanding complex fluid structures in polydisperse systems.
    • Oscillatory size segregation is a predictable phenomenon in hard sphere fluids near walls.
    • The findings offer insights into particle interactions and phase behavior in non-uniform fluids.