### Abstract

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 language | English |
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Article number | 040302(R) |

Journal | Physical review E: Statistical, nonlinear, and soft matter physics |

Volume | 89 |

Issue number | 040302(R) |

DOIs | |

Publication status | Published - 30 Apr 2014 |

### Keywords

- METIS-308932
- IR-94035

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## Cite this

Santos, A., Yuste, S. B., Lopèz de Haro, M., Odriozola, G., & Ogarko, V. (2014). Simple effective rule to estimate the jamming packing fraction of polydisperse hard spheres.

*Physical review E: Statistical, nonlinear, and soft matter physics*,*89*(040302(R)), [040302(R)]. https://doi.org/10.1103/PhysRevE.89.040302