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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A kinetic theory description of liquid menisci at the microscale
TL;DR: In this paper, a kinetic model for the study of capillary flows in devices with microscale geometry is presented, based on the Enskog-Vlasov kinetic equation and provides a reasonable description of both fluid-fluid and fluid-wall interactions.
Journal ArticleDOI
Microscopic equations of state of polyethylene: Hard-chain contribution to the pressure
TL;DR: In this article, the athermal contribution to the pressure of polyethylene is investigated via integral equations and mean field generalized Flory-type theories, and the hard sphere diameter is obtained by matching structure factor predictions of the polymer reference interaction site model (PRISM) theory for hard chains to data from wideangle scattering experiments.
Book ChapterDOI
Solidification kinetics of hard-sphere colloidal suspensions
TL;DR: In this article, the authors investigate the solidification dynamics of hard-sphere colloidal suspensions applying simultaneously small-angle and Bragg light scattering and observe a temporally almost constant nucleation rate after an induction time that decreases with supersaturation.
Journal ArticleDOI
Monte Carlo simulation for the hard-core two-Yukawa fluids and test of the two-Yukawa equation of state
TL;DR: In this article, a recently proposed analytical equation of state (EOS) for the hard-core two-Yukawa fluids is tested against the results of Monte Carlo (MC) simulation in six cases.
Journal ArticleDOI
Application of PC-SAFT to glycol containing systems – PC-SAFT towards a predictive approach
TL;DR: In this article, a group contribution scheme for estimating pure compound parameters from low molecular weight data and extrapolate to complex compounds was developed, which is able to perform well for both vapor-liquid equilibria (VLE) and liquid-liquid equilibrium (LLE).
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.