Home CV Research People Teaching Blog

Schmidt - Browse papers with the paper browser

[bare list] [illustrated] [by topic]
    Reference [<] [>] [x] : Figure [<] [>] [x]

    33. Density functional theory for random sequential adsorption
    M. Schmidt, J. Phys.: Condens. Matt. 14, 12119 (2002).
    Locate in [bare] [illustrated] list. Get [full paper] as pdf.

    Abstract. We treat the non-equilibrium process of random sequential adsorption of hard particles onto a solid substrate by means of a geometry-based density functional theory. As a prerequisite we solve the zero-dimensional case exactly and use it to construct density functionals in higher dimensions, permitting the treatment of adsorption onto arbitrary spatially inhomogeneous substrates. As applications we study the influence of a hard boundary of the adsorption region in the one-dimensional car-parking problem and for colloidal deposition on a twodimensional solid substrate. Comparing to our computer simulation results, we find that the respective density functionals correctly predict the oscillatory density profiles near the boundary, with amplitudes that are considerably smaller than in the corresponding equilibrium models. [figures]


    Read the [full paper] as pdf.

    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.

    [more]

Legal. The material on this website is intended as a scientific resource for the private use of individual scholars. None of it may be used commercially, or for financial gain. Some of the material is protected by copyright. Requests for permission to make public use of any of the papers, or material therein, should be sought from the original publisher, or from M. Schmidt, as appropriate.
MS, 20 Apr 2009.