Phase behaviour of additive binary mixtures in the limit of infinite asymmetry

Abstract

We provide an exact mapping between the density functional of a binary mixture and that of the effective one-component fluid in the limit of infinite asymmetry. The fluid of parallel hard cubes is thus mapped onto that of parallel adhesive hard cubes. Its phase behaviour reveals that demixing of a very asymmetric mixture can only occur between a solvent-rich fluid and a permeated large particle solid or between two large particle solids with different packing fractions. Comparing with hard spheres mixtures we conclude that the phase behaviour of very asymmetric hard-particle mixtures can be determined from that of the large component interacting via an adhesive-like potential.

Full rewriting of the paper (also new title). 4 pages, LaTeX, uses revtex, multicol, epsfig, and amstex style files, to appear in Phys. Rev. E (Rapid Comm.)

References in corpus (1)

• Numerical Solution of Hard-Core Mixtures

Cited by in corpus (10)

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• Fundamental measure theory for mixtures of parallel hard cubes. II. Phase behavior of the one-component fluid and of the binary mixture
• Demixing in a single-peak distributed polydisperse mixture of hard spheres
• Demixing behavior in two-dimensional mixtures of anisotropic hard bodies
• Demixing in binary mixtures of hard hyperspheres
• Depletion effects in smectic phases of hard rod--hard sphere mixtures
• Critical packing fraction at the phase separation transition in hard-core mixtures
• Fluid-fluid versus fluid-solid demixing in mixtures of parallel hard hypercubes