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dc.contributor.authorFai, Tomas G.
dc.contributor.authorTaylor, J.M. 
dc.contributor.authorVirga, Epifanio G.
dc.contributor.authorZheng, Xiaoyu
dc.contributor.authorPalffy-Muhoray, Peter
dc.date.accessioned2021-07-28T14:31:31Z
dc.date.available2021-07-28T14:31:31Z
dc.date.issued9-03-20
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1311
dc.description.abstractWe study packings of hard spheres on lattices. The partition function, and therefore the pressure, may be written solely in terms of the accessible free volume, i.e., the volume of space that a sphere can explore without touching another sphere. We compute these free volumes using a leaky cell model, in which the accessible space accounts for the possibility that spheres may escape from the local cage of lattice neighbors. We describe how elementary geometry may be used to calculate the free volume exactly for this leaky cell model in two- and three-dimensional lattice packings and compare the results to the well-known Carnahan–Starling and Percus–Yevick liquid models. We provide formulas for the free volumes of various lattices and use the common tangent construction to identify several phase transitions between them in the leaky cell regime, indicating the possibility of coexistence in crystalline materials.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleLeaky Cell Model of Hard Spheresen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1063/5.0037442en_US
dc.relation.publisherversionhttps://aip.scitation.org/doi/10.1063/5.0037442en_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDES/1PE/MTM2017-82379-Ren_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleThe Journal of Chemical Physicsen_US
dc.volume.number154en_US
dc.issue.number10en_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España