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The range of attractive interactions between particles significantly influences the structure of mixtures. Hard spheres (HS) and hard-sphere two-Yukawa (HSTY) mixtures exhibit clustering and distinct solid phases based on interaction width.

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Area of Science:

  • Statistical Mechanics
  • Soft Matter Physics
  • Computational Chemistry

Background:

  • Understanding particle interactions is crucial for predicting mixture behavior.
  • Previous work identified conditions where hard spheres (HS) induce clustering in hard-sphere two-Yukawa (HSTY) fluids.
  • The role of interaction range in mixture self-assembly requires further investigation.

Purpose of the Study:

  • To investigate the impact of cross-attraction range on the equilibrium structure of HS/HSTY mixtures.
  • To explore phase behavior and self-assembly mechanisms driven by varying interaction widths.
  • To characterize the emergent structures, including clusters and solid phases.

Main Methods:

  • Monte Carlo simulations were employed to model particle interactions.
  • The study focused on a mixture of hard spheres (HS) and hard-sphere two-Yukawa (HSTY) particles with identical diameters.
  • The range of the square-well (SW) cross attraction was systematically varied.

Main Results:

  • Clustering occurs when the square-well width exceeds approximately one particle diameter (σ).
  • At low HSTY concentrations and wider attraction ranges (around 1.2σ), a single spherical cluster forms, indicative of macrophase separation.
  • At higher densities, a unique solid phase emerges, characterized by alternating bilayers of each particle species, forming a 'wafer' structure.

Conclusions:

  • The range of attractive interactions is a key determinant of self-assembly in HS/HSTY mixtures.
  • The observed spherical cluster at low densities represents the liquid phase within a vapor phase.
  • A novel bilayered solid structure is formed at higher densities, showcasing complex phase behavior.