4.7 Article

Critical point for demixing of binary hard spheres

Journal

PHYSICAL REVIEW E
Volume 104, Issue 4, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.104.044603

Keywords

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Funding

  1. Leverhulme Trust [RPG-2017-203]
  2. EPSRC [EP/T031247/1]
  3. EPSRC [EP/T031247/1] Funding Source: UKRI

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The study used a two-level simulation method to analyze the critical point associated with demixing of binary hard sphere mixtures. The results showed a strong and unexpected dependence of the critical point on the size ratio between large and small particles, which is related to three-body effective interactions and the geometry of the underlying hard-sphere packings.
We use a two-level simulation method to analyze the critical point associated with demixing of binary hard sphere mixtures. The method exploits an accurate coarse-grained model with two-and three-body effective interactions. Using this model within the two-level methodology allows computation of properties of the full (fine-grained) mixture. The critical point is located by computing the probability distribution for the number of large particles in the grand canonical ensemble and matching to the universal form for the 3D Ising universality class. The results have a strong and unexpected dependence on the size ratio between large and small particles, which is related to three-body effective interactions and the geometry of the underlying hard-sphere packings.

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