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  • 1
    Electronic Resource
    Electronic Resource
    Solution of the Ornstein-Zernike equation for a soft-core Yukawa fluid (1979)
    Springer
    Journal of statistical physics 21 (1979), S. 659-667 
    Details
    ISSN: 1572-9613
    Keywords: Ornstein-Zernike equation ; Baxter's factorization ; softcore ; Yukawa closure
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A model for simple fluids is proposed in which the radial distribution function has a parametric form appropriate to a soft-core fluid for interparticle separationr ⩽ R, whereR is some range parameter. Forr 〉 R, the direct correlation function is assumed to be of Yukawa form. The Ornstein-Zernike equation is solved for this system, yielding the radial distribution and the total correlation function for the entire range of interparticle separation. Methods of relating the model fluid to a real fluid by assigning values to the parameters are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01107908
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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)
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  • 3
    Electronic Resource
    Electronic Resource
    An exactly solved model with a wetting transition (1986)
    Springer
    Journal of statistical physics 43 (1986), S. 621-643 
    Details
    ISSN: 1572-9613
    Keywords: Wetting transition ; exact solution ; random walk ; S.O.S. model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A model of a binary mixture, showing a wetting transition, is examined. No prewetting phenomena are found. The scaling functions are obtained for the film thickness and for the correlation lengths.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01020656
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Microscopic derivation of fluctuation formulas for calculating dielectric constants by simulation (1987)
    Springer
    Journal of statistical physics 46 (1987), S. 179-190 
    Details
    ISSN: 1572-9613
    Keywords: Dipoles ; boundary conditions ; electrostatics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A microscopic derivation using the average Maxwell electric field is given for fluctuation formulas for the dielectric constant of a simulation sample for both periodic and reaction field boundary conditions. The reaction field case is for a spherical cavity reaction field. The derivations put both boundary conditions on an equal footing of microscopic theory and the only nonrigorous part of the derivation is the assumption that the region used to average the electric field is large enough. The fluctuation formula for reaction field boundary conditions is rather different from that used heretofore. The method is applied to a subregion of an isolated spherical system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01010339
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    Paper (German National Licenses)
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