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- W2108299407 abstract "Previous article Next article A Solidification Phenomenon in Random PackingsL. Bowen, R. Lyons, C. Radin, and P. WinklerL. Bowen, R. Lyons, C. Radin, and P. Winklerhttps://doi.org/10.1137/050647785PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractWe prove that uniformly random packings of copies of a certain simply connected figure in the plane exhibit global connectedness at all sufficiently high densities, but not at low densities.[1] Google Scholar[2] L. Bowen, , R. Lyons, , C. Radin and , and P. Winkler, Fluid/solid transition in a hard‐core system, Phys. Rev. Lett., 96 (2006), paper 025701. prl PRLTAO 0031-9007 Phys. Rev. Lett. CrossrefISIGoogle Scholar[3] L. Bowen, , C. Holton, , C. Radin and , and L. Sadun, Uniqueness and symmetry in problems of optimally dense packings, Math. Phys. Electron. J., 11 (2005), paper 1. 9cb MPEJFJ 1086-6655 Math. Phys. Electron. J. Google Scholar[4] A. Donev, , S. Torquato, , F. H. Stillinger and , and R. Connelly, Jamming in hard sphere and disk packings, J. Appl. Phys., 95 (2004), pp. 989–999. jap JAPIAU 0021-8979 J. Appl. Phys. CrossrefISIGoogle Scholar[5] Google Scholar[6] Google Scholar[7] Google Scholar[8] Google Scholar[9] H. Koch, , L. Sadun and , and C. Radin, Most stable structure for hard spheres, Phys. Rev. E, 72 (2005), paper 016708. pre PLEEE8 1063-651X Phys. Rev. E CrossrefISIGoogle Scholar[10] C. Radin, Orbits of orbs: Sphere packing meets Penrose tilings, Amer. Math. Monthly, 111 (2004), pp. 137–149. aml AMMYAE Am. Math. Monthly CrossrefISIGoogle Scholar[11] Google ScholarKeywordssphere packingsolidification Previous article Next article FiguresRelatedReferencesCited ByDetails On Percolation of Two-Dimensional Hard DisksCommunications in Mathematical Physics, Vol. 364, No. 1 | 6 July 2018 Cross Ref Percolation of Hard DisksJournal of Applied Probability, Vol. 51, No. 01 | 19 February 2016 Cross Ref Percolation of Hard DisksJournal of Applied Probability, Vol. 51, No. 1 | 30 January 2018 Cross Ref Spontaneous breaking of continuous rotational symmetry in two dimensionsElectronic Journal of Probability, Vol. 14, No. none | 1 Jan 2009 Cross Ref Random Close Packing of Granular MatterJournal of Statistical Physics, Vol. 131, No. 4 | 22 March 2008 Cross Ref Volume 38, Issue 4| 2006SIAM Journal on Mathematical Analysis1035-1370 History Submitted:16 December 2005Accepted:19 July 2006Published online:20 November 2006 InformationCopyright © 2006 Society for Industrial and Applied MathematicsKeywordssphere packingsolidificationMSC codes52C2552C17PDF Download Article & Publication DataArticle DOI:10.1137/050647785Article page range:pp. 1075-1089ISSN (print):0036-1410ISSN (online):1095-7154Publisher:Society for Industrial and Applied Mathematics" @default.
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