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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Demixing vs freezing of binary hard-sphere mixtures
Tamara Coussaert,Marc Baus +1 more
TL;DR: In this article, it was shown that the absence of demixing in the Percus-Yevick theory of fluid mixtures of additive hard-spheres is related to the fact that this theory predicts incorrect virial coefficients Bn for n>3.
Journal ArticleDOI
Equation of state of a seven-dimensional hard-sphere fluid. Percus–Yevick theory and molecular-dynamics simulations
TL;DR: In this article, the solution to the Percus-Yevick equation for a seven-dimensional hard-sphere fluid is explicitly found, which allows the derivation of the equation of state for the fluid taking both the virial and the compressibility routes.
Journal ArticleDOI
Application of cell theory to the thermodynamic properties of hard dumbbell solids
TL;DR: In this paper, the cell model of Lennard-Jones and Devonshire has been applied to the calculation of the free energy of hard dumbbell solids, and effective single particle partition functions were evaluated by Monte Carlo integration.
Journal ArticleDOI
Integral equations for classical fluids: III. The hard discs system
L. Verlet,D. Levesque +1 more
TL;DR: In this article, an equation of state for the hard discs system is obtained from a pressure consistent integral equation for the radial distribution function, and the results from computer experiments within the statistical errors in the latter, which are of the order of 1 per cent.
Journal ArticleDOI
Advanced continuum modelling of gas-particle flows beyond the hydrodynamic limit
TL;DR: In this article, a third-order quadrature-based moment method, coupled with a fluid solver, was applied to simulate dilute gas-particle flow in a vertical channel with particle-phase volume fractions between 0.0001 and 0.01.
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.
Journal ArticleDOI
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.