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
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Book ChapterDOI
The Mechanics of Rapid Granular Flows
TL;DR: In this article, the authors present a review of the classical papers of Bagnold and a discussion of the various modes and regimes of granular flow, such as vertical channels and inclined chutes.
Journal ArticleDOI
Kinetic theory for plane flows of a dense gas of identical, rough, inelastic, circular disks
James T. Jenkins,M. W. Richman +1 more
TL;DR: In this article, the authors employed the Gradient method of moments to derive balance laws and constitutive relations for plane flows of a dense gas consisting of identical, rough, inelastic, circular disks.
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Fluids of dimerizing hard spheres, and fluid mixtures of hard spheres and dispheres
TL;DR: In this paper, the Tildesley-Streett (TS) fitting function was used to simulate a fluid of hard spheres which contains an off-center attraction site, with the range of attraction restricted so that dimers, but no higher smers can be formed.
Journal ArticleDOI
Entropy difference between the face-centred cubic and hexagonal close-packed crystal structures
TL;DR: In this article, a significant difference in the pressurevolume (P-V) behavior can be detected in the vicinity of a mechanical instability point within a single-occupancy cell model of two close-packed crystalline arrangements, face-centred cubic (f.c.) and hexagonal closed-packed (h.c.).
Journal ArticleDOI
Supercritical water as a solvent.
Hermann Weingärtner,E. U. Franck +1 more
TL;DR: This Review covers the current knowledge of the major properties of supercritical water and its solutions with nonpolar, polar, and ionic compounds, and of the underlying molecular processes.
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.