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  • 1
    Electronic Resource
    Electronic Resource
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Sociology 7 (1981), S. 29-56 
    ISSN: 0360-0572
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Sociology
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 40 (1975), S. 197-213 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The thermodynamic limit is taken using a sequence of regions all the same shape as a given region ω of volume |ω|, with a specified distribution of normal field component on ∂ω. We show that with magnetostatic interactions the limiting free energy density is bounded above by jhen where $$\bar f$$ (ϱ,B) is the free energy density for a system of density ϱ in a uniform external fieldB and the “inf” is taken over all divergence-free fieldsB with given normal component on ∂ω and all densities ϱ(x) compatible with particle number constraints of the form $$\int\limits_{\Gamma _i } {\varrho (x)d^3 x = \left| {\Gamma _i } \right|\varrho _i } $$ where Γi is a sub-region of ω. A physical argument suggests that this upper bound is the true thermodynamic limit, and that it takes account demagnetization effects. Electrostatic interactions can be treated similarly.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 24 (1981), S. 607-616 
    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
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 31 (1983), S. 129-140 
    ISSN: 1572-9613
    Keywords: Coulomb systems ; plasmas ; surface properties ; strip geometry ; correlations ; sum rules
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This paper considers a strip of two-dimensional one-component plasma of particles of chargeq at a temperatureT such that the coupling constant be Γ=q2/kBT = 2. The strip is of finite width and infinite length and bears charge densities on either edge. Inside the strip and on one side, the dielectric constant is 1; on the other side of the strip, it may be either 1 or 0 (in the latter case, image forces play an important role). The free energy as well as the one-particle and two-particle distribution functions can be exactly computed. They obey a variety of sum rules reflecting the Coulombic behavior of the system. At large separations the truncated two-particle distribution function behaves with algebraically decaying oscillations. The strip of finite width in fact is correlated along the strip much as a one-dimensional system is correlated.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 17 (1977), S. 47-60 
    ISSN: 1572-9613
    Keywords: Surface phase transitions ; adsorption isotherms ; dense fluids
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We derive adsorption isotherms for an adsorbate of hard-sphere particles with “sticky” interactions at any fluid density being adsorbed onto a plane, “sticky” surface. The theory is based on the Percus-Yevick theory for bulk fluids and explicitly includes the equilibrium between the adsorbed fluid and the bulk adsorbate. The theory predicts a surface condensation at low temperatures and low bulk densities in good agreement with surface condensations found in experimental studies of adsorption of gases onto graphite. An approximate law of corresponding states for these transitions is developed. At higher bulk densities and room temperatures, the adsorption isotherms can show a maximum, in accord with recent experimental work.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 21 (1979), S. 659-667 
    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
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 33 (1983), S. 13-22 
    ISSN: 1572-9613
    Keywords: Long-range order ; semiperiodic boundary conditions ; two-dimensional-one-component plasma
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The one-component two-dimensional plasma is studied in a strip of finite width, replicated periodically parallel to the long axis of the strip. Exact results for the one- and two-particle distribution functions are found at coupling Γ=q 2/kT =2. The system is inhomogeneous: the one- and two-particle distribution functions show long-range order.
    Type of Medium: Electronic Resource
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