Hard disks dense random packings, structural

IV. Structural Properties of Dense Random Packings of Hard Disks... 

Our polygon description of the structure of 2D dense random packings of hard disks parallels Bernal s description of three-dimensional (3D) dense random packings of hard spheres as space-filling arrays of elementary polyhedral units ( Bernal holes, or canonical polyhedra ) [2-5]. Bernal s approach to 3D liquid structure is discussed in more detail in Section IV.A. 

In the remainder of this section, we present the results of our detailed study of dense random packings of hard disks. As we will show, the structure of such dense random packings strongly resembles that of the dense WCA liquid (see Section III), and illustrates even more dramatically the way in which packing constraints are translated into tiling rules. 

Figure 57. Various types of structural analysis for a representative dense random packing of hard disks at a packing fraction of 0.8334 (see the caption for Fig. 12).

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