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  • 1
    Electronic Resource
    Electronic Resource
    The hard-sphere order-disorder transition in the bethe continuum (1991)
    Springer
    Journal of statistical physics 63 (1991), S. 1163-1176 
    Details
    ISSN: 1572-9613
    Keywords: Hard spheres ; ordering transition ; density functionals
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We describe a search for solidlike singlet distribution functions in a system of hard spheres. The procedure, which is based on Widom's relation between the activity and the density in a nonuniform fluid, is applied to a sequence of hardcore lattice gases with increasingly extended interactions. When the system is defined on a Bethe lattice we obtain exact solutions for arbitrary external field and size of the hard core. This includes the limit in which the number of excluded neighbors goes to infinity while the lattice spacing is made to vanish. The study of the first few members in this family of models suggests the existence of an infinite sequence, beginning with the next-nearest-neighbor problem, of first-order sublattice ordering transitions occurring before close packing and at zero field. The periodic solutions for the density originate at bifurcation points located at uniform close packing.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01030004
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Global behavior of the diffusion coefficient for the Van Der Waals binary mixture (1989)
    Springer
    International journal of thermophysics 10 (1989), S. 427-435 
    Details
    ISSN: 1572-9567
    Keywords: diffusion coefficient ; free-energy curvature ; mixtures ; Van der Waals mixture
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We describe the general dependence of the diffusion coefficient associated with the Van der Waals binary mixture on the temperature, number densities, and relative strengths of molecular interaction parameters. The task is facilitated by the fact that for Kac-type intermolecular potentials, in the long-range limit, the diffusion coefficient becomes simply related to the product of a partial compressibility and the curvature of the equilibrium free energy in the space of number densities. Therefore the different kinds of behavior found can be classified according to the scheme of Scott and Van Konynenburg for the global phase diagram of the same model mixture.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01133539
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    Paper (German National Licenses)
    Fulltext
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