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    23. Freezing transition of hard hyperspheres
    R. Finken, M. Schmidt, and H. Löwen, Phys. Rev. E 65, 016108 (2002).
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    Extract. We investigate the system of D-dimensional hard spheres. Regardless of the approximation applied, and for dimensions as high as D=50, we find a first-order freezing transition, which preempts the Kirkwood second-order instability of the fluid. [more]



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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.