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Density functional for the Widom-Rowlinson model M. Schmidt, Phys. Rev. E 63, 010101(R) (2001). Locate in [bare] [illustrated] list. Get [full paper] as pdf. 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] Read the [full paper] as pdf. |