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    3. Phase diagram of hard spheres confined between parallel hard plates
    M. Schmidt and H. Löwen, Phys. Rev. E 55, 7228 (1997).
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    Abstract. A hard sphere system confined between two parallel hard plates is investigated theoretically. Using extensive Monte Carlo computer simulations, the phase diagram is calculated for the whole range of densities and plate separations ranging from one to two particle diameters. There occurs a strong first-order fluid freezing transition and both very weak and strong discontinuous phase transitions between different crystal structures, namely, layered, buckled, and rhombic crystals. The results are compared with predictions from free volume theory, and a semi-quantitative agreement is found. All predicted transitions should be experimentally observable in confined suspensions of sterically stabilized or highly salted charged colloidal particles. [figures]


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    Hard spheres

    The hard sphere system freezes between [2] and [3], and in ~[23] dimensions (tags as contents!), as well as on stripe-patterned substrates [26]. Deep relations to dimensional crossover exist [5] [6]. Hard spheres were immersed in emulsions [9], confined to a flexible container [18], exposed to surfaces of other quenched spheres [37] and of random fiber networks [39], and subject to gravity [51]. Recently, the Rosenfeld functional [5] [6] was generalized to non-additive mixtures [53].

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MS, 20 Apr 2009.