Data for Desmond & Weeks, PRE (2014); Meer et al, PRE (2024)

Packing fractions (2D and 3D) of random close packed particles with varying size distributions

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These data were studied in:

"Influence of particle size distribution on random close packing"
KW Desmond and ER Weeks, Phys. Rev. E. 90, 022204 (2014)
- Abstract / PDF / arXiv:1303.4627 / journal
"Circle radius distributions determine random close packing density"
DJ Meer, I Galoustian, JG de Falco Manuel, and ER Weeks, Phys. Rev. E 109, 064905 (2024).
- Abstract / PDF / journal / arXiv:2404.02316

3D data: volume fractions for various particle size distributions (Desmond & Weeks 2014)

The data are in the form (polydispersity, skewness, kurtosis, phi_rcp). See our paper for further details.

binary.txt -- binary distributions
triangle.txt -- linear distributions
gaussian.txt -- Gaussian distributions (only 4 data points)
lognorm.txt -- lognormal distributions (only 4 data points)
all.txt -- all data in one file, if you prefer. This file has a fifth column to indicate the distribution: 1=binary, 2=linear, 3=Gaussian, 4=lognormal

The polydispersity values have values close to 0.05, 0.1, 0.15, 0.25, and 0.40. Figure 2 of our paper is the 4th column (phi_rcp) plotted against the 2nd column (skewness) with the colors set by the 1st column (polydispersity).

2D data: area fractions for various particle size distributions (Meer et al 2024)

Particle size distribution parameters

file: supp_data -- supplemental data, also found on the Phys. Rev. E page for this article

Data is a CSV file in a 8*N Matrix.

NaN is input where parameter 2 or 3 do not exist.

The distributions are numbered as such (described in section II B):

1 = exponential
2 = bidisperse
3 = linear
4 = Gaussian
5 = lognormal
6 = bidisperse gaussian
7 = tridisperse
8 = power law
9 = parabolic
10 = 12-disperse
11 = tracers
12 = read in file
13 = Weibull
14 = spike linear
15 = spike2
16 = spike power law
17 = spike in bidisperse
18 = Koeze tracer

For example, column 1 has data [1, 0.1, -1.75, 0.841, 0.688, 2.57, -4.16, NaN]. This is an exponential distribution (type 1) with polydispersity 0.1 and skewness -1.75, which on average packs to phi = 0.841 and with a psi6 value of 0.688. The parameters to generate this distribution are 2.57 and -4.16: P(r) = exp(r/(-4.16) for 1 < r < 2.57.

This is the data necessary to reconstruct Figs. 3, 4, 7 (main panel), and 8 (main panel).