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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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Micellisation and gelation of triblock copolymer of ethylene oxide and ε-caprolactone, CLnEmCLn, in aqueous solution

TL;DR: In this article, three triblock copolymers of ethylene oxide and Iµ-caprolactone, nominally CL2E90CL2, CL4E 90CL4 and CL6E 90 CL6 have been prepared and characterised, and the micellar and surface properties in aqueous solution of the copolymer with CL-block lengths of four and six were investigated as a function of temperature and concentration using surface tension and static and dynamic light scattering techniques.
Journal ArticleDOI

On the isobaric thermal expansivity of liquids.

TL;DR: Using the statistical associating fluid theory (SAFT) allowed the behavior of more complex systems (basically, those potentially involving chain and association effects) to be described and broader regions of negative temperature and positive pressure dependencies are obtained for liquids characterized by larger ranges of the interparticle potential.
Journal ArticleDOI

Calculation of vapour-liquid equilibrium of associated systems by an equation of state

TL;DR: In this paper, a van der Waals equation of state is applied to calculate phase equilibria in hydrogen-bonding, non-electrolytic systems, which involves essentially one weakly temperature-dependent adjustable parameter per binary system.
Journal ArticleDOI

Macroscopic electric field and osmotic pressure in ultracentrifugal sedimentation–diffusion equilibria of charged colloids

TL;DR: Sedimentation-diffusion equilibria from analytical ultracentrifugation of well-characterized charged silica spheres in ethanol deviate strongly from a barometric profile and demonstrate the existence and substantial effects of a recently predicted internal macroscopic electric field.
Journal ArticleDOI

A density-functional approach to nucleation in micellar solutions

TL;DR: In this paper, a density-functional theory for binary mixtures of amphiphiles with solvent is presented, placing particular emphasis on the structure and free energy of stable and metastable clusters of amphphiles in dilute solution.
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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