Editing Radial distribution function
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[[Image:LJ_rdf.png|center|450px|Typical radial distribution function for the monatomic Lennard-Jones liquid.]] | [[Image:LJ_rdf.png|center|450px|Typical radial distribution function for the monatomic Lennard-Jones liquid.]] | ||
==Density Expansion of the radial distribution function== | ==Density Expansion of the radial distribution function== | ||
The '''radial distribution function''' of a compressed gas may be expanded in powers of the density | The '''radial distribution function''' of a compressed gas may be expanded in powers of the density (Ref. 2) | ||
:<math>\left. {\rm g}(r) \right. = e^{-\beta \Phi(r)} (1 + \rho {\rm g}_1 (r) + \rho^2 {\rm g}_2 (r) + ...)</math> | :<math>\left. {\rm g}(r) \right. = e^{-\beta \Phi(r)} (1 + \rho {\rm g}_1 (r) + \rho^2 {\rm g}_2 (r) + ...)</math> | ||
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*[[Total correlation function]] | *[[Total correlation function]] | ||
==References== | ==References== | ||
#[http://dx.doi.org/10.1063/1.1723737 John G. Kirkwood and Elizabeth Monroe Boggs "The Radial Distribution Function in Liquids", Journal of Chemical Physics '''10''' pp. 394-402 (1942)] | |||
#[http://dx.doi.org/10.1103/PhysRev.85.777 B. R. A. Nijboer and L. Van Hove "Radial Distribution Function of a Gas of Hard Spheres and the Superposition Approximation", Physical Review '''85''' pp. 777 - 783 (1952)] | |||
#[http://dx.doi.org/10.1063/1.1703948 J. L. Lebowitz and J. K. Percus "Asymptotic Behavior of the Radial Distribution Function", Journal of Mathematical Physics '''4''' pp. 248-254 (1963)] | |||
#[http://dx.doi.org/10.1063/1.1725652 B. Widom "On the Radial Distribution Function in Fluids", Journal of Chemical Physics '''41''' pp. 74-77 (1964)] | |||
#[http://dx.doi.org/10.1080/00268970701678907 J. G. Malherbe and W. Krauth "Selective-pivot sampling of radial distribution functions in asymmetric liquid mixtures", Molecular Physics (preprint)] | |||
[[category: statistical mechanics]] | [[category: statistical mechanics]] |