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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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A study of bubbling and slugging fluidised beds using the two-fluid granular temperature model

TL;DR: In this article, finite element numerical simulations of gas-solid fluidized beds using the two-fluid granular temperature model were performed, and the effect of an obstruction on the fluidisation efficiency in a fluidised bed was investigated.
Journal ArticleDOI

Light scattering of a concentrated multicomponent system of hard spheres in the Percus-Yevick approximation

TL;DR: In this paper, a formalism for light scattering from a (concentrated) multicomponent system of spherical (colloidal) particles dispersed in a low-molecular weight solvent is derived in terms of direct correlation functions introduced by Ornstein and Zernike, and also by Baxter.
Journal ArticleDOI

A review of practical calculation methods for the viscosity of liquid hydrocarbons and their mixtures

TL;DR: In this paper, a review of methods for the prediction and correlation of Newtonian viscosity for pure components and mixtures of liquid hydrocarbons and petroleum fluids is presented.
Journal ArticleDOI

Multi-scale coding of genomic information: From DNA sequence to genome structure and function

TL;DR: This review shows that when using concepts, methodologies, numerical and experimental techniques coming from statistical mechanics and nonlinear physics combined with wavelet-based multi-scale signal processing, this work is able to decipher the multi- scale sequence encoding of chromatin condensation–decondensation mechanisms that play a fundamental role in regulating many molecular processes involved in nuclear functions.
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"Sticky" hard spheres: equation of state, phase diagram, and metastable gels.

TL;DR: From depolarized light scattering measurements of equilibrium sedimentation profiles, an accurate description of the equation of state and of the phase diagram of colloids where depletion forces are tuned by the addition of a surfactant is obtained.
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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