Journal ArticleDOI
Equation of State for Nonattracting Rigid Spheres
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In this paper, a new equation of state for rigid spheres has been developed from an analysis of the reduced virial series, which possesses superior ability to describe rigid-sphere behavior compared with existing equations.Abstract:
A new equation of state for rigid spheres has been developed from an analysis of the reduced virial series. Comparisons with existing equations show that the new formula possesses superior ability to describe rigid‐sphere behavior.read more
Citations
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Developing optimal Wertheim-like models of water for use in Statistical Associating Fluid Theory (SAFT) and related approaches
TL;DR: In this paper, a discretized energy-parameter space is examined and a long valley of optimal parameter sets for the vapour-liquid equilibria is found for the various models, ranging from low dispersion (high hydrogen-bonding) to high hydrogenbonding energies.
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Group contribution method with SAFT EOS applied to vapor liquid equilibria of various hydrocarbon series
Sofiane Tamouza,Sofiane Tamouza,J.-Philippe Passarello,Pascal Tobaly,J.-Charles de Hemptinne +4 more
TL;DR: In this article, a new group contribution method is proposed using the statistical associating fluid theory (SAFT) equation of state (EOS), in order to describe the thermodynamic properties of hydrocarbon series.
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Theoretical and numerical study of the phase diagram of patchy colloids: Ordered and disordered patch arrangements
TL;DR: It is confirmed that patchiness has a strong effect on the phase diagram: the gas-liquid coexistence region in the temperature-density plane is significantly reduced as f decreases, and the locus of specific heat maxima and the percolation line is evaluated.
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A Simple Calculation of Structural and Depletion Forces for Fluids/Suspensions Confined in a Film
TL;DR: In this paper, the Laplace transform of the radial distribution function for two large hard spheres dispersed in a fluid of the smaller hard spheres is used to derive equations for the film interaction energy and film disjoining pressure.
References
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Journal ArticleDOI
Analysis of Classical Statistical Mechanics by Means of Collective Coordinates
TL;DR: In this paper, the three-dimensional classical many-body system is approximated by the use of collective coordinates, through the assumed knowledge of two-body correlation functions, and a self-consistent formulation is available for determining the correlation function.
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Statistical Mechanics of Rigid Spheres
TL;DR: In this article, an equilibrium theory of rigid sphere fluids is developed based on the properties of a new distribution function G(r) which measures the density of rigid spheres molecules in contact with a rigid sphere solute of arbitrary size.
Journal ArticleDOI
Equation of State for Hard Spheres
TL;DR: In this paper, simple and exact expressions for the compressibility and pressure equations of state predicted by the Percus-Yevick equation for hard spheres were found for Wainwright and Alder.
Journal ArticleDOI
Studies in Molecular Dynamics. II. Behavior of a Small Number of Elastic Spheres
B. J. Alder,T. E. Wainwright +1 more
TL;DR: In this article, the equation of state and the collision rate for systems ranging in size from four to 500 particles are described, and the dependence of the results on the number of particles is qualitatively discussed and insight is gained as to what is required of more accurate analytical theories.
Journal ArticleDOI
Fifth and Sixth Virial Coefficients for Hard Spheres and Hard Disks
Francis H. Ree,William G. Hoover +1 more
TL;DR: In this paper, the modified stars contain both Mayer f functions and f functions (f≡f+1) and it is shown that the number of topologically distinguishable graphs occurring in the new expressions is about half the number required in previous expressions.