Structural transitions in hypersphere fluids: predictions of Kirkwood's approximation

Details Structural transitions in hypersphere fluids: predictions of Kirkwood's approximation Structural transitions in hypersphere fluids: predictions of Kirkwood's approximation

2011-08-15

arxiv.org/abs/1108.2919v1

Physics

Condensed Matter

Statistical Mechanics

to be published in J. Chem. Phys

Scientific paper

We use an analytic criterion for vanishing of exponential damping of correlations developed previously (Piasecki et al, J. Chem. Phys., 133, 164507, 2010) to determine the threshold volume fractions for structural transitions in hard sphere systems in dimensions D=3,4,5 and 6, proceeding from the YBG hierarchy and using the Kirkwood superposition approximation. We conclude that the theory does predict phase transitions in qualitative agreement with numerical studies. We also derive, within the superposition approximation, the asymptotic form of the analytic condition for occurence of a structural transition in the D->Infinity limit .

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