Figure 4: PD₂ of disordered, partially ordered and highly ordered sphere packings.

Representative PD₂ of sphere packings with density ranging from φ=0.60 to φ=0.73. Crystallization onset occurs at φ≈0.64. The diagrams in panels (a,b) have been computed over more than 150,000 beads and 500,000 cavities. The diagram in (c) has been computed over more than 200,000 beads and 800,000 cavities. The diagram in (d) has been computed over more than 4,000 beads and 20,000 cavities.