Critical point for demixing of binary hard spheres.


Type
Article
Change log
Authors
Kobayashi, Hideki 
Rohrbach, Paul B 
Scheichl, Robert 
Wilding, Nigel B 
Jack, Robert L 
Abstract

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.

Description
Keywords
cond-mat.stat-mech, cond-mat.stat-mech, cond-mat.soft
Journal Title
Phys Rev E
Conference Name
Journal ISSN
2470-0045
2470-0053
Volume Title
104
Publisher
American Physical Society (APS)
Sponsorship
EPSRC (EP/T031247/1)
Leverhulme Trust (Grant No. RPG-2017-203) EPSRC (Grant No. EP/T031247/1).