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Journal ArticleDOI

Equation of State for Nonattracting Rigid Spheres

Norman F. Carnahan, +1 more
- 15 Jul 1969 - 
- Vol. 51, Iss: 2, pp 635-636
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TLDR
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.

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Citations
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Colloidal gel elasticity arises from the packing of locally glassy clusters.

TL;DR: The quantitative agreement between integrated experimental, computational, and graph theoretic approaches are used to understand the arrested state and the origins of the gel elastic response.
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General methods for free-volume theory

TL;DR: A general scaled-particle method for convex bodies in terms of the characteristic geometrical measures of the depletion agent, i.e., its volume, surface area, and integrated mean curvature, in mixtures with hard spheres is given.
Journal ArticleDOI

Phase behavior of semiflexible tangent hard sphere chains

TL;DR: In this paper, the isotropic-nematic phase transition in semi-lexible hard chain fluids was investigated via an Onsager type density functional theory and the angle-dependent excluded volume of two chains required in the theory was obtained via Monte Carlo simulations.
Journal ArticleDOI

Equation of state for thermodynamic properties of chain fluids near-to and far-from the vapor–liquid critical region

TL;DR: In this article, a crossover equation of state was developed for describing thermodynamic properties of chain fluids, and the crossover equation correctly represents phase equilibria and pVT properties in both regions.
Journal ArticleDOI

A comprehensive description of chemical association effects on second derivative properties of alcohols through a SAFT-VR approach.

TL;DR: The model is able to reproduce accurately the complex behavior of the isobaric heat capacity of alcohols as, for instance, the maximum versus temperature in the compressed liquid region and in the case of 1-hexanol + n-hexane binary mixtures, the proposed equation is found to capture the association effects on the pressure and temperature dependence of the amine thermal expansivity.
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

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

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.
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