Size-topology relations in packings of grains, emulsions, foams, and biological cells

K. A. Newhall, L. L. Pontani, I. Jorjadze, S. Hilgenfeldt, J. Brujic

    Research output: Contribution to journalArticlepeer-review


    Particulate packings in 3D are used to study the effects of compression and polydispersity on the geometry of the tiling in these systems. We find that the dependence of the neighbor number on cell size is quasilinear in the monodisperse case and becomes nonlinear above a threshold polydispersity, independent of the method of creation of the tiling. These size-topology relations can be described by a simple analytical theory, which quantifies the effects of positional disorder in the monodisperse case and those of size disorder in the polydisperse case and is applicable in two and three dimensions. The theory thus gives a unifying framework for a wide range of amorphous systems, ranging from biological tissues, foams, and bidisperse disks to compressed emulsions and granular matter.

    Original languageEnglish (US)
    Article number268001
    JournalPhysical Review Letters
    Issue number26
    StatePublished - Jun 26 2012

    ASJC Scopus subject areas

    • General Physics and Astronomy


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