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    46. Replica density functional study of one-dimensional hard core fluids in porous media
    H. Reich and M. Schmidt, J. Stat. Phys. 116, 1683 (2004).
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    Extract. A binary quenched-annealed hard core mixture is considered in one dimension. Two different density functional approaches are employed: The first approach uses Percus' functional for the annealed component and an explicit averaging over matrix configurations; this is numerically exact. The second approach is based on a quenched-annealed density functional whose results we find to approximate very well those of the former. Furthermore we give a derivation of the underlying replica density functional theory. [more]



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    Fluid interfaces

    Colloid-polymer mixtures display fluid-fluid interfaces [21] [44], relevant for laser-induced condensation [35], capillary condensation [43] and evaporation [48], immersion in porous media [41], the appearance of the floating liquid phase [52], the competition between sedimentation and phase coexistence [51], tension at a substrate [45], the experimental observation of thermal capillary waves [47], and the contact angle of the liquid-gas interface and a wall [50]. In colloidal rod-sphere mixtures fluid-fluid interfaces were investigated with theory [30] and simulation [42]. Hard sphere fluids were considered at surfaces of porous media [37], in random fiber networks [39], and in one dimensional cases [46].

    Fluids in random media

    The density functional theory for quenched-annealed mixtures [24] relates the quenched components to a random porous medium and the annealed components model to an adsorbate fluid (mixture). See [46] for the explicit relation to the the replica trick. Colloid-polymer mixtures were studied in bulk random matrices [32], exhibiting (gas-liquid) interfaces [41], and wetting properties at porous substrates [56]. Rods were immersed in quenched sphere matrices [54], and spheres were immersed in random fibre networks [39]. Freezing is hindered in the presence of disorder [38]. See [33] for the related non-equilibrium process of random sequential adsorption.

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MS, 20 Apr 2009.