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Characterization of maximally random jammed sphere packings: Voronoi correlation functions

Author(s): Klatt, Michael A.; Torquato, Salvatore

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dc.contributor.authorKlatt, Michael A.-
dc.contributor.authorTorquato, Salvatore-
dc.date.accessioned2020-10-30T18:29:05Z-
dc.date.available2020-10-30T18:29:05Z-
dc.date.issued2014-11en_US
dc.identifier.citationKlatt, Michael A., Torquato, Salvatore. (2014). Characterization of maximally random jammed sphere packings: Voronoi correlation functions. Physical Review E, 90 (5), 10.1103/PhysRevE.90.052120en_US
dc.identifier.issn1539-3755-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1cr5x-
dc.description.abstractWe characterize the structure of maximally random jammed (MRJ) sphere packings by computing the Minkowski functionals (volume, surface area, and integrated mean curvature) of their associated Voronoi cells. The probability distribution functions of these functionals of Voronoi cells in MRJ sphere packings are qualitatively similar to those of an equilibrium hard-sphere liquid and partly even to the uncorrelated Poisson point process, implying that such local statistics are relatively structurally insensitive. This is not surprising because the Minkowski functionals of a single Voronoi cell incorporate only local information and are insensitive to global structural information. To improve upon this, we introduce descriptors that incorporate nonlocal information via the correlation functions of the Minkowski functionals of two cells at a given distance as well as certain cell-cell probability density functions. We evaluate these higher-order functions for our MRJ packings as well as equilibrium hard spheres and the Poisson point process. It is shown that these Minkowski correlation and density functions contain visibly more information than the corresponding standard pair-correlation functions. We find strong anticorrelations in the Voronoi volumes for the hyperuniform MRJ packings, consistent with previous findings for other pair correlations [A. Donev et al., Phys. Rev. Lett. 95, 090604 (2005)], indicating that large-scale volume fluctuations are suppressed by accompanying large Voronoi cells with small cells, and vice versa. In contrast to the aforementioned local Voronoi statistics, the correlation functions of the Voronoi cells qualitatively distinguish the structure of MRJ sphere packings (prototypical glasses) from that of not only the Poisson point process but also the correlated equilibrium hard-sphere liquids. Moreover, while we did not find any perfect icosahedra (the locally densest possible structure in which a central sphere contacts 12 neighbors) in the MRJ packings, a preliminary Voronoi topology analysis indicates the presence of strongly distorted icosahedra.en_US
dc.format.extent052120-1 - 052120-12en_US
dc.language.isoen_USen_US
dc.relation.ispartofPhysical Review Een_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titleCharacterization of maximally random jammed sphere packings: Voronoi correlation functionsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevE.90.052120-
dc.date.eissued2014-11-13en_US
dc.identifier.eissn1550-2376-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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