Demixing can occur in binary hard-sphere mixtures with negative non-additivity

Details Demixing can occur in binary hard-sphere mixtures with negative non-additivity Demixing can occur in binary hard-sphere mixtures with negative non-additivity

2004-09-28

arxiv.org/abs/cond-mat/0409718v2

Physical Review E 72, 010501(R) (2005)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures; title changed; final paragraph added; to be published in PRE as a Rapid Communication

Scientific paper

10.1103/PhysRevE.72.010501

A binary fluid mixture of non-additive hard spheres characterized by a size ratio $\gamma=\sigma_2/\sigma_1<1$ and a non-additivity parameter $\Delta=2\sigma_{12}/(\sigma_1+\sigma_2)-1$ is considered in infinitely many dimensions. From the equation of state in the second virial approximation (which is exact in the limit $d\to\infty$) a demixing transition with a critical consolute point at a packing fraction scaling as $\eta\sim d 2^{-d}$ is found, even for slightly negative non-additivity, if $\Delta>-{1/8}(\ln\gamma)^2$. Arguments concerning the stability of the demixing with respect to freezing are provided.

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