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Binary hard sphere mixtures exhibit surprising order at larger scales, with symmetry dependent on particle size ratio. Efficient packing correlates with maximum local disorder, revealing complex structural properties.

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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Understanding the structure of multi-component systems is crucial for predicting their bulk properties.
  • Binary hard sphere mixtures serve as fundamental models for complex fluids and disordered materials.

Purpose of the Study:

  • To investigate the three-dimensional (3D) structure of binary hard sphere mixtures.
  • To analyze how particle composition and size ratio influence the system's structural order.
  • To explore the relationship between packing efficiency and local structural arrangements.

Main Methods:

  • Computed X-ray tomography was employed to determine the 3D structure.
  • A recently developed four-point correlation function was utilized to analyze structural order.
  • Analysis focused on varying particle composition and size ratio (q).

Main Results:

  • A regular order was observed at intermediate and large length scales.
  • The symmetry of this order was found to be dependent on the particle size ratio (q).
  • A minimum in structural correlation length occurred at the highest packing fraction composition.
  • This composition also showed a maximum in local particle arrangements, indicating maximal local disorder.

Conclusions:

  • Binary hard sphere mixtures exhibit emergent order at larger scales, with symmetry dictated by particle size.
  • Optimal particle packing is achieved in a state that is locally maximally disordered.
  • The findings provide insights into the complex interplay between order, disorder, and packing in multi-component systems.