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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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 languageEnglish
Article number040302(R)
JournalPhysical review E: Statistical, nonlinear, and soft matter physics
Volume89
Issue number040302(R)
DOIs
Publication statusPublished - 30 Apr 2014

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jamming
Jamming
Hard Spheres
Packing
data simulation
estimates
Equation of State
Estimate
equations of state
glass
Glass Transition
Freezing
melting points
proposals
Simulation
Branch
Moment
moments
Fluid
Curve

Keywords

  • METIS-308932
  • IR-94035

Cite this

Santos, Andrés ; Yuste, Santos B. ; Lopèz de Haro, Mariano ; Odriozola, Gerardo ; Ogarko, V. / Simple effective rule to estimate the jamming packing fraction of polydisperse hard spheres. In: Physical review E: Statistical, nonlinear, and soft matter physics. 2014 ; Vol. 89, No. 040302(R).
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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.

In: Physical review E: Statistical, nonlinear, and soft matter physics, Vol. 89, No. 040302(R), 040302(R), 30.04.2014.

Research output: Contribution to journalArticleAcademicpeer-review

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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.

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