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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 102 (1995), S. 9638-9646 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The phase equilibrium properties of a molecular-based model of binary aqueous mixtures are investigated using an extended primitive model (EPW) for water, which incorporates a mean-field attractive term in addition to the interactions given by the primitive model studied in part I of this series of papers. The second component, representing a nonpolar fluid, is modeled by a general hard body with a mean-field attractive term. Analytical expressions for the Helmholtz free energy of this precisely defined molecular model are obtained from statistical mechanical theory, as a function of the molecular size, the mean-field interaction term, and the shape of the second component. The predictions of our model are compared with the behavior of two classes of real aqueous mixtures: Group A={water+inert gases, hydrogen} and Group B={water+n-alkanes}. The phase equilibrium properties are studied as a function of the ratio of the critical temperature τ and critical volume λ with respect to the corresponding quantities for water, and the global phase diagram (i.e., the type of phase behavior and its dependence on the model parameters) is determined. Since τ and λ are obtainable both from our theory and from experiment, our approach thus contains no adjustable parameters. The theory gives qualitatively correct predictions of the phase behavior of these two classes of mixtures, i.e., of the transition between Type IIIc and Type IIId critical line behavior in the Konynenberg and Scott classification scheme, of the presence or absence of pressure minima for Group B mixtures exhibiting Type IIIc behavior, and the dependence of the temperature and pressure of the Type IIIc temperature minimum on the size of the second-component molecule. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 100 (1994), S. 2191-2201 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The phase equilibrium behavior of a basic statistical mechanical model of a binary mixture of water and a simple fluid are investigated. For water we use a primitive model which incorporates no attractive forces other than hydrogen bonds within a hard-sphere core, and the simple fluid is modeled by a fluid of hard spheres with an attractive mean-field term. The qualitative behavior of the phase equilibria and P−T critical lines of this model are calculated using an accurate theoretical equation of state for primitive water obtained in analytical form using the Wertheim thermodynamic perturbation theory, for a range of values of the mixture's two underlying parameters, the hard-sphere size ratio and the mean field strength. The model exhibits type IIId and type IV* phase behavior of three qualitatively different types, characterized by the existence of either one or two three-phase lines. The model exhibits a range of phenomena, including tricritical points and double critical end points. The implications of the model results for corresponding real fluid mixtures are also discussed.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 102 (1985), S. 89-103 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We study the phase diagram of the Ising antiferromagnet on a square lattice in a neighbourhood of ground state critical pointsh=±4,T=0. It leads to a question about the valuea c of the critical activity of the hard-square lattice gas. Using a constructive criterion of uniqueness we prove thata c 〉1 and that the phase diagram of the antiferromagnet does not bulge near mentioned critical points. It is a specific feature of this work that the proof was completed with the help of a computer.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Czechoslovak journal of physics 39 (1989), S. 65-79 
    ISSN: 1572-9486
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Conroy integration method is re-considered and new sets of parameters are provided which permit to use as much as 150 000 sample points for twelve-fold integrals. The method is applied to various functions important in theories of liquids and compared with the approach based on the spherical harmonic expansion where it is possible.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Czechoslovak journal of physics 40 (1990), S. 138-150 
    ISSN: 1572-9486
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A feasibility study of applicability of a perturbation expansion for evaluating properties of highly associated fluids is undertaken. It is shown that the long-range electrostatic forces can be considered as a mild perturbation only, provided that the reference potential includes the hydrogen bonding interaction. Perturbed Monte Carlo simulations on two different shortrange reference systems defined for the realistic ST2 water potential show that the structures of the ST2 water and appropriately chosen reference fluids are practically identical and that the expansion of the Helmholtz free energy converges.
    Type of Medium: Electronic Resource
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