### Abstract

Original language | English |
---|---|

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 |

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### Keywords

- METIS-308932
- IR-94035

### Cite this

*Physical review E: Statistical, nonlinear, and soft matter physics*,

*89*(040302(R)), [040302(R)]. https://doi.org/10.1103/PhysRevE.89.040302

}

*Physical review E: Statistical, nonlinear, and soft matter physics*, vol. 89, no. 040302(R), 040302(R). https://doi.org/10.1103/PhysRevE.89.040302

**Simple effective rule to estimate the jamming packing fraction of polydisperse hard spheres.** / Santos, Andrés; Yuste, Santos B.; Lopèz de Haro, Mariano; Odriozola, Gerardo; Ogarko, V.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Simple effective rule to estimate the jamming packing fraction of polydisperse hard spheres

AU - Santos, Andrés

AU - Yuste, Santos B.

AU - Lopèz de Haro, Mariano

AU - Odriozola, Gerardo

AU - Ogarko, V.

PY - 2014/4/30

Y1 - 2014/4/30

N2 - 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.

AB - 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.

KW - METIS-308932

KW - IR-94035

U2 - 10.1103/PhysRevE.89.040302

DO - 10.1103/PhysRevE.89.040302

M3 - Article

VL - 89

JO - Physical review E: covering statistical, nonlinear, biological, and soft matter physics

JF - Physical review E: covering statistical, nonlinear, biological, and soft matter physics

SN - 2470-0045

IS - 040302(R)

M1 - 040302(R)

ER -