Journal Article10.1103/PHYSREV.165.201
Computer "Experiments" on Classical Fluids. II. Equilibrium Correlation Functions
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TL;DR: In this paper, equilibrium correlation functions for a dense classical fluid are obtained by integrating the equation of motion of a system of 864 particles interacting through a Lennard-Jones potential, and the behaviour of the correlation function at large distance and that of its Fourier transform at large wave number are discussed in detail and shown to be related to the existence of a strong repulsion in the potential.
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Abstract: : Equilibrium correlation functions for a dense classical fluid are obtained by integrating the equation of motion of a system of 864 particles interacting through a Lennard-Jones potential. The behaviour of the correlation function at large distance, and that of its Fourier transform at large wave number are discussed in detail and shown to be related to the existence of a strong repulsion in the potential. A simple hard sphere model is shown to reproduce very well the Fourier transform of those correlations functions at high density, the only parameter of the model being the diameter a of the hard spheres. (Author)
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References
Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules
TL;DR: In this article, the equilibrium properties of a system of 864 particles interacting through a Lennard-Jones potential have been integrated for various values of the temperature and density, relative, generally, to a fluid state.
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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.
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Correlations in the Motion of Atoms in Liquid Argon
TL;DR: In this article, a system of 864 particles interacting with a Lennard-Jones potential and obeying classical equations of motion has been studied on a digital computer (CDC 3600) to simulate molecular dynamics in liquid argon at 94.4 degrees K and a density of 1.374 g.
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Exact solution of the percus-yevick integral equation for hard spheres
TL;DR: In this article, the equation of state and pair distribution for the Percus- Yevick integral equation for the radiai distribution function of a classical fluid are obtained in closed form for the prototype of interacting hard spheres.
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The equilibrium theory of classical fluids
H. L. Frisch,Joel L. Lebowitz,Stuart A. Rice +2 more
- 01 Jan 1964
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