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A spherical model with directional interactions: II. Dynamics and landscape properties.

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This study explores a binary mixture of hard spheres, revealing how specific interactions promote tetrahedral structures. Simulations show an ideal gel forming and transitioning to an attractive glass as density increases.

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Area of Science:

  • Soft matter physics
  • Computational chemistry
  • Materials science

Background:

  • Binary hard-sphere mixtures are fundamental models in statistical mechanics.
  • Understanding phase behavior and structural ordering is crucial for materials design.
  • Tetrahedral ordering can arise from specific inter-particle potentials.

Purpose of the Study:

  • To investigate the phase behavior and dynamics of a binary non-additive hard-sphere mixture.
  • To explore the formation of equilibrium structures with tetrahedral ordering.
  • To analyze the relationship between structure, dynamics, and the potential energy landscape.

Main Methods:

  • Event-driven molecular dynamics simulations were extensively performed.
  • Iso-diffusivity lines were mapped in the phase diagram.
  • Statistical properties of the potential energy landscape were evaluated.

Main Results:

  • The system exhibits tetrahedral ordering for specific inter-particle potential parameters.
  • An ideal gel phase was observed, transitioning to an attractive glass with increasing density.
  • Configurational entropy was found to be finite in the ground state within the network-forming region, showing logarithmic energy dependence.

Conclusions:

  • The study elucidates the complex phase behavior of a binary non-additive hard-sphere mixture.
  • The observed transition from ideal gel to attractive glass highlights the role of density and interactions.
  • The findings offer insights into the relationship between energy, entropy, and structure in disordered materials.