Journal ArticleDOI
Equation of State for Nonattracting Rigid Spheres
Reads0
Chats0
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.read more
Citations
More filters
Journal ArticleDOI
Phase diagrams of binary mixtures of patchy colloids with distinct numbers of patches: The network fluid regime
TL;DR: In this article, the authors calculate the network fluid regime and phase diagrams of binary mixtures of patchy colloids, using Wertheim's first order perturbation theory and a generalization of Flory-Stockmayer's theory of polymerization.
Journal ArticleDOI
Density and temperature effects on motional dynamics of SF6 in the supercritical dense fluid region
J. DeZwaan,J. Jonas +1 more
TL;DR: In this paper, the angular momentum correlation time τJ was derived from the NMR 19F spin-lattice relaxation times and self-diffusion constants in the dense fluid of SF6 as a function of pressure and temperature.
Journal ArticleDOI
Contact values of the radial distribution functions of additive hard-sphere mixtures in d dimensions: A new proposal
TL;DR: In this paper, the contact values gij(σij) of the radial distribution functions of a d-dimensional mixture of (additive) hard spheres are considered, and a "universality" assumption is put forward, according to which gij (σij)=G(η,zij), where G is a common function for all the mixtures of the same dimensionality, regardless of the number of components, η is the packing fraction of the mixture, and zij=(σiσj/σij), is a dimensionless parameter, �
Journal ArticleDOI
Surface Area and Microporosity of a Pillared Interlayered Clay (PILC) from a Hybrid Density Functional Theory (DFT) Method
TL;DR: In this paper, a hybrid density functional theory method was used to calculate model isotherms over a wide range of pore widths for the adsorption of nitrogen at 77 K within cylindrical pores having a clay-like surface.
Journal ArticleDOI
Statistical mechanics of linear molecules. VII. Application of ``blip function'' theory to dense fluids
TL;DR: In this paper, the blip function theory for the calculation of radial distribution functions and thermodynamic properties of dense fluids is written in a form which yields explicit expressions for both the angular and the radial correlations of a dense fluid of linear molecules.
References
More filters
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.