Journal Article10.1103/PHYSREVLETT.8.462
Approximation Methods in Classical Statistical Mechanics
386
TL;DR: In this paper, the pair distribution function for a classical fluid in thermal equilibrium is found to be more closely approximated by the Percus and Yevick (Phys. Rev., 110: 1(1958)) approximation than by the Bogoliubov-Born-Green- Kirkwood-Yvon (B.G.K.H.) approximation or the hypernetted chain approximation.
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Abstract: The pair distribution function for a classical fluid in thermal equilibrium is found to be more closely approximated by the Percus and Yevick (Phys. Rev., 110: 1(1958)) approximation than by the Bogoliubov-Born-Green- Kirkwood-Yvon (B.B.G.K.Y.) approximation or the hypernettedchain approximation. It is noted that the reason for this finding lies in the fact that the Percus and Yevick approximation chooses a quite advantageous function for making a Taylor expansion of the appropriate equation for a grand canonical ensemble. (T.F.H.)
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References
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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.
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Solutions to the Percus‐Yevick Equation
TL;DR: The radial distribution function for a classical fluid of particles interacting with the Lennard-Jones potential has been computed by solving the Percus-Yevick integral equation numerically as mentioned in this paper.
A general kinetic theory of liquids; the molecular distribution functions.
Max Born,Herbert S. Green +1 more
TL;DR: It is shown that Boltzmann’s equation in the kinetic theory of gases follows as a particular case, and that, in equilibrium conditions, the theory gives results consistent with statistical mechanics.
Recent monte carlo calculations of the equation of state of Lenard-Jones and hard sphere molecules
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