Simple effective rule to estimate the jamming packing fraction of polydisperse hard spheres.
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.
Departamento de Física, Universidad de Extremadura, Badajoz E-06071, Spain.
Andrés
A
Santos
Departamento de Física, Universidad de Extremadura, Badajoz E-06071, Spain.
Santos B
SB
Yuste
Instituto de Energías Renovables, Universidad Nacional Autónoma de México (U.N.A.M.), Temixco, Morelos 62580, Mexico.
Mariano
M
López de Haro
Programa de Ingeniería Molecular, Instituto Mexicano del Petróleo, México, D.F. 07730, Mexico.
Gerardo
G
Odriozola
Multi Scale Mechanics (MSM), CTW, MESA+, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands.
Vitaliy
V
Ogarko