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    17. Density functional for the Widom-Rowlinson model
    M. Schmidt, Phys. Rev. E 63, 010101(R) (2001).
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    Abstract. We present a density functional theory for the m-component Widom-Rowlinson model, for a mixture of spherical particles where the unlike species interact with a hard-core potential and the interactions between like species vanish. The functional is exact for small densities and in the zero-dimensional limit. It predicts the fluid structure in good agreement with simulations and yields a continuous demixing phase transition for m>=2. In the limit of large m the Widom-Rowlinson model reduces to effective hard spheres in the mixed phase and the Asakura-Oosawa (colloid-ideal polymer) model in the demixed phase. Within the present theory, both cases are captured correctly. For intermediate m we find a first order demixing phase transition, with a rapidly broadening density discontinuity upon increasing m. [figures]


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    Basic model fluids

    Density functionals were constructed for hard spheres [5] [6], penetrable spheres that interact with a step-function pair potential [7] (see [14] for more discussion), the Asakura-Oosawa-Vrij model of colloid-polymer mixtures [11], the Widom-Rowlinson model [17], and non-additive hard sphere mixtures [53].

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MS, 20 Apr 2009.