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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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Chemical potentials based on the molecular distribution functions. An exact diagrammatical representation and the star function

TL;DR: In this paper, a closed form for the chemical potentials of a fluid is presented that involves only integrals of the molecular distribution functions at the given state, (e.g., temperature and density). Thus no Kirkwood charging or thermodynamic integration is needed.
Journal ArticleDOI

Solubility Parameters of Nonelectrolyte Organic Compounds: Determination Using Quantitative Structure–Property Relationship Strategy

TL;DR: In this paper, the quantitative structure-property relationship (QSPR) method is applied to develop three models for determination of the solubility parameters of pure nonelectrolyte organic compounds at 298.15 K and atmospheric pressure.
Journal ArticleDOI

Equilibrium theories of simple liquids

TL;DR: In this paper, a review of the theory of equilibrium properties of simple classical fluids is presented, with particular attention devoted to the extraction of the intermolecular forces from a given experimental data on the structure and thermodynamics of fluids.
Journal ArticleDOI

Micellisation of diblock copoly(oxyethylene/oxybutylene) in aqueous solution

TL;DR: In this article, the gelation of concentrated aqueous micellar solutions of three diblock copoly(oxybutylene/oxyethylene)s (E50B13, E49B8 and E24B10, where E represents oxyethylene and B represents oxybutylene) was investigated.
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Transport coefficients of hard sphere fluids

TL;DR: In this article, the self-diffusion coefficient, the shear viscosity, the bulk viscosity, and thermal conductivity of the hard sphere fluid were calculated using molecular dynamics simulations.
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

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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