The pair correlation function g2(r) provides a basic geometric descriptor for many-particle systems. It must obey two necessary conditions: (i) non-negativity for all distances r, and (ii) non-negativity of its associated structure factor S(k) for all k. Here we utilize an improved stochastic...

The determination of the maximal packing arrangements of two-dimensional, binary hard disks of radii RS and RL (with RS⩽RL) for sufficiently small RS amounts to finding the optimal arrangement of the small disks within a tricusp: the nonconvex cavity between three close-packed large disks. We...