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• W2598498524 abstract "The Percus-Yevick theory for monodisperse hard spheres gives very good results for the pressure and structure factor of the system in a whole range of densities that lie within the liquid phase. However, the equation seems to lead to a very unacceptable result beyond that region. Namely, the Percus-Yevick theory predicts a smooth behavior of the pressure that diverges only when the volume fraction $ensuremath{eta}$ approaches unity. Thus, within the theory there seems to be no indication for the termination of the liquid phase and the transition to a solid or to a glass. In the present article we study the Percus-Yevick hard-sphere pair distribution function, ${g}_{2}(r)$, for various spatial dimensions. We find that beyond a certain critical volume fraction ${ensuremath{eta}}_{c}$, the pair distribution function, ${g}_{2}(r)$, which should be positive definite, becomes negative at some distances. We also present an intriguing observation that the critical ${ensuremath{eta}}_{c}$ values we find are consistent with volume fractions where onsets of random close packing (or maximally random jammed states) are reported in the literature for various dimensions. That observation is supported by an intuitive argument. This work may have important implications for other systems for which a Percus-Yevick theory exists." @default.
• W2598498524 created "2017-04-07" @default.
• W2598498524 creator A5054043026 @default.
• W2598498524 creator A5070976911 @default.
• W2598498524 creator A5078368781 @default.
• W2598498524 date "2019-01-30" @default.
• W2598498524 modified "2023-10-18" @default.
• W2598498524 title "Random close packing from hard-sphere Percus-Yevick theory" @default.
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• W2598498524 doi "https://doi.org/10.1103/physreve.99.012146" @default.
• W2598498524 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/30780241" @default.
• W2598498524 hasPublicationYear "2019" @default.
• W2598498524 type Work @default.
• W2598498524 sameAs 2598498524 @default.
• W2598498524 citedByCount "7" @default.

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