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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On the spinodal instability of highly asymmetric hard sphere suspensions
TL;DR: In this paper, a new treatment of the binodal instability of suspensions containing a highly asymmetric mixture of hard spheres is presented, where the origin of the instability is the attractive depletion interaction between the larger spheres.
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Theoretical Examination of the Global Fluid Phase Behavior and Critical Phenomena in Carbon Dioxide + n-Alkane Binary Mixtures
TL;DR: In this article, the phase behavior of carbon dioxide + n-alkane binary mixtures is studied using the statistical associating fluid theory for potentials of variable attractive range, and the attractive interactions are included as square-well potentials.
Journal ArticleDOI
Dense liquids. I. The effect of density and temperature on self‐diffusion of tetramethylsilane and benzene‐d6
H. J. Parkhurst,J. Jonas +1 more
TL;DR: In this paper, the authors measured the self-diffusion coefficients of tetramethylsilane and benzene-d6 using the NMR spin-echo technique and interpreted them in terms of the rough hard sphere model of liquids based on the modified Enskog theory.
Journal ArticleDOI
Crystallization kinetics of colloidal model suspensions: recent achievements and new perspectives
TL;DR: The present review attempts to cover the interesting developments that have occurred since the turn of the millennium and to identify important novel trends, with particular focus on experimental aspects.
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Dense inclined flows of inelastic spheres
TL;DR: In this paper, an extension of the hydrodynamic equations for dense flows of identical, inelastic spheres is presented, which incorporates an additional length scale in the expression for the collisional rate of dissipation.
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.
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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.