Simple effective rule to estimate the jamming packing fraction of polydisperse hard spheres

Andrés Santos, Santos B. Yuste, Mariano Lopèz de Haro, Gerardo Odriozola, V. Ogarko

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    A recent proposal in which the equation of state of a polydisperse hard-sphere mixture is mapped onto that of the one-component fluid is extrapolated beyond the freezing point to estimate the jamming packing fraction ϕJ of the polydisperse system as a simple function of M1M3/M22, where Mk is the kth moment of the size distribution. An analysis of experimental and simulation data of ϕJ for a large number of different mixtures shows a remarkable general agreement with the theoretical estimate. To give extra support to the procedure, simulation data for seventeen mixtures in the high-density region are used to infer the equation of state of the pure hard-sphere system in the metastable region. An excellent collapse of the inferred curves up to the glass transition and a significant narrowing of the different out-of-equilibrium glass branches all the way to jamming are observed. Thus, the present approach provides an extremely simple criterion to unify in a common framework and to give coherence to data coming from very different polydisperse hard-sphere mixtures.
    Original languageEnglish
    Article number040302(R)
    JournalPhysical review E: Statistical, nonlinear, and soft matter physics
    Issue number040302(R)
    Publication statusPublished - 30 Apr 2014


    • METIS-308932
    • IR-94035


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