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  • 1
    Electronic Resource
    Electronic Resource
    Correlation functions for diatomic symmetric molecules from the RISM equation (1981)
    Springer
    Journal of statistical physics 24 (1981), S. 607-616 
    Details
    ISSN: 1572-9613
    Keywords: RISM equation ; diatomic ; correlation functions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Using the solution of the RISM equation for diatomic symmetric molecules outlined in a previous paper, the site-site radial distribution function (RDF) is calculated and compared with the Monte Carlo results and the numerical RDF of Lowden and Chandler. The RDF calculated here and the numerical RDF of Lowden and Chandler agree well at intermediate and high densities. At low density, however, both have systematic errors. The agreement between the RDF calculated here and the Monte Carlo results suggests that a simplified formulation of the RISM solution may serve well as a reference system in a perturbation theory for diatomic fluids.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011378
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Lee-Yang zeros and stokes phenomenon in a model with a wetting transition (1993)
    Springer
    Journal of statistical physics 72 (1993), S. 51-78 
    Details
    ISSN: 1572-9613
    Keywords: Partition function zeros ; Stokes phenomenon ; wetting transition
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We consider the statistical mechanics of a fluctuating string (1D solid-on-solid model) ofN columns with a contact energy term displaying a critical wetting transition. For this model we derive a contour integral representation for the finite-size partition function. From this representation we derive a polynomial representation and obtain the Lee-Yang zeros forN ≲, 100. Through the asymptotic evaluation of the contour integral we evaluate the zeros for higherN. This asymptotic evaluation displays a Stokes phenomenon providing a different viewpoint of the mechanism by which a phase transition can arise, supplementing the picture of Lee and Yang. We also reproduce and extend somewhat the results of Smith for the finite-size scaling limit of the partition function.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01048040
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    Paper (German National Licenses)
    Fulltext
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