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    8. Density-functional theory for soft potentials by dimensional crossover
    M. Schmidt, Phys. Rev. E 60, R6291 (1999).
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    Abstract. A density-functional theory for spherical particles interacting via an arbitrary soft pair potential is presented. The derivation is solely based on limits, where the behavior is exactly known, namely, a zero-dimensional cavity and the low-density virial expansion. The approach generalizes the fundamental-measure theory for hard bodies and yields the structure and thermodynamics of the homogeneous fluid as an output. We apply the theory to an ultrasoft logarithmic potential that mimics star polymers in a good solvent. The theory, when supplemented by a rescaling procedure, reproduces the peculiar features of the pair correlations in this system that we also find in computer simulations. [figures]


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    DFT for soft potentials

    Based on the hard sphere case [5] [6], a density functional theory (DFT) for soft (i.e. continuously varying as a function of interparticle distance) potentials was obtained by considering dimensional crossover [8], and subsequently extended to mixtures [10]. Applications concern the liquid structure of model fluids [13], and structure and freezing of star polymer solutions [15] (see also [16].)

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MS, 20 Apr 2009.