Abstract
We use a two-level simulation method to analyse the critical point associated with demixing of binary hard sphere mixtures. The method exploits an accurate coarse-grained model with two-body 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.
| Original language | English |
|---|---|
| Article number | 044603 |
| Journal | Physical Review E |
| Volume | 104 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 8 Oct 2021 |
Bibliographical note
Funding Information:We thank Daan Frenkel and Bob Evans for helpful discussions. This project was supported by the Leverhulme Trust (Grant No. RPG-2017-203). R.L.J. and H.K. are also grateful to the EPSRC for support in the later part of the project (Grant No. EP/T031247/1).
Funding Information:
Leverhulme Trust Engineering and Physical Sciences Research Council
Publisher Copyright:
©2021 American Physical Society
Keywords
- cond-mat.stat-mech
- cond-mat.soft